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Title: Periods of elliptic curves over real quadratic fields Definition: Let $K=\mathbb{Q}(\sqrt{D})$ and let $E/K$ be the elliptic curve whose- LMFDB CITE{LMFDB} label is assembled from the row identifiers. Those identifiers- are parts of one curve label; the value is the global period $\Omega_{E/K}$ in the- ecnf-data BSD normalisation CITE{ecnf-data}.+ LMFDB CITE{LMFDB} label is the row's label preceded by the field label $2.2.D.1$.+ The value is the global period $\Omega_{E/K}$ in the ecnf-data BSD normalisation+ CITE{ecnf-data}. Parameters: D:
display: $D$ constraints: positive fundamental discriminant- conductor:+ label: type: Symbolic- title: LMFDB conductor label- display: conductor- class:- type: Symbolic- title: isogeny class label- display: class- curve:- type: Z- title: curve number in the LMFDB class- display: curve+ title: LMFDB curve label, without the field prefix+ display: label+ constraints: 'the LMFDB curve label with the field label $2.2.D.1$ removed: `31.1-a1`+ for the curve `2.2.5.1-31.1-a1`' Display properties: number-header: $\Omega_{E/K}$ group parameters: - - D- - - conductor- - - class- - - curve+ - - label Comments:- comment-index: The field discriminant, conductor label, isogeny-class letter and- curve number are the components of the LMFDB CITE{LMFDB} curve label, not separate- choices of quantity. The row with $D=12$, conductor label $47.1$, isogeny class- $b$, and curve number $1$ is the curve 2.2.12.1-47.1-b1. There is one row per- curve rather than one row per isogeny class, since the period changes under an- isogeny.+ comment-index: 'The label of a row is the LMFDB CITE{LMFDB} curve label with the+ field label removed: the row with $D=12$ and label `47.1-b1` is the curve `2.2.12.1-47.1-b1`,+ where `47.1` labels the conductor ideal, of norm $47$, `b` is the isogeny class+ and `1` the curve in it. There is one row per curve rather than one row per isogeny+ class, since the period changes under an isogeny.' comment-field-generator: 'The generator $w$ of $K$ follows the LMFDB CITE{LMFDB} convention used in ecnf-data CITE{ecnf-data}: it satisfies $w^2-w-1=0$ for $D=5$,
Numbers: '5':- '31.1':- a:- '1':- number: '51.508839712536626724604612731543070'- comment: LMFDB curve 2.2.5.1-31.1-a1 has conductor ideal $(5*w-2)$, rank- $0$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+w{x}$.- '2':- number: '1.6096512410167695851438941478607209'- comment: LMFDB curve 2.2.5.1-31.1-a2 has conductor ideal $(5*w-2)$, rank- $0$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(133w-141\right){x}+737w-764$.- '3':- number: '6.4386049640670783405755765914428837'- comment: LMFDB curve 2.2.5.1-31.1-a3 has conductor ideal $(5*w-2)$, rank- $0$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-12w-21\right){x}+42w+10$.- '4':- number: '1.6096512410167695851438941478607209'- comment: LMFDB curve 2.2.5.1-31.1-a4 has conductor ideal $(5*w-2)$, rank- $0$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(31w-75\right){x}+141w-303$.- '5':- number: '25.754419856268313362302306365771535'- comment: LMFDB curve 2.2.5.1-31.1-a5 has conductor ideal $(5*w-2)$, rank- $0$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(w-5\right){x}+3w-5$.- '6':- number: '12.877209928134156681151153182885767'- comment: LMFDB curve 2.2.5.1-31.1-a6 has conductor ideal $(5*w-2)$, rank- $0$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-18w+15\right){x}+171w-265$.- '31.2':- a:- '1':- number: '1.6096512410167695851438941478607209'- comment: LMFDB curve 2.2.5.1-31.2-a1 has conductor ideal $(5*w-3)$, rank- $0$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-30w-45\right){x}-111w-117$.- '2':- number: '12.877209928134156681151153182885767'- comment: LMFDB curve 2.2.5.1-31.2-a2 has conductor ideal $(5*w-3)$, rank- $0$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(16w-2\right){x}-172w-94$.- '3':- number: '51.508839712536626724604612731543070'- comment: LMFDB curve 2.2.5.1-31.2-a3 has conductor ideal $(5*w-3)$, rank- $0$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}$.- '4':- number: '25.754419856268313362302306365771535'- comment: LMFDB curve 2.2.5.1-31.2-a4 has conductor ideal $(5*w-3)$, rank- $0$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}-5{x}-3w+3$.- '5':- number: '6.4386049640670783405755765914428837'- comment: LMFDB curve 2.2.5.1-31.2-a5 has conductor ideal $(5*w-3)$, rank- $0$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(10w-32\right){x}-43w+53$.- '6':- number: '1.6096512410167695851438941478607209'- comment: LMFDB curve 2.2.5.1-31.2-a6 has conductor ideal $(5*w-3)$, rank- $0$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-135w-7\right){x}-738w-26$.- '36.1':- a:- '1':- number: '44.299621696875096561752925819698961'- comment: LMFDB curve 2.2.5.1-36.1-a1 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+w{x}^{2}$.- '2':- number: '1.7719848678750038624701170327879584'- comment: LMFDB curve 2.2.5.1-36.1-a2 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(-5w-5\right){x}-51w-37$.- '3':- number: '1.7719848678750038624701170327879584'- comment: LMFDB curve 2.2.5.1-36.1-a3 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(165w-331\right){x}+1352w-2408$.- '4':- number: '44.299621696875096561752925819698961'- comment: LMFDB curve 2.2.5.1-36.1-a4 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(10w-21\right){x}-31w+51$.- '41.1':- a:- '1':- number: '46.260878468940992115535235203395846'- comment: LMFDB curve 2.2.5.1-41.1-a1 has conductor ideal $(w+6)$, rank $0$,- and equation ${y}^2+w{y}={x}^{3}-w{x}^{2}$.- '2':- number: '0.94409956059063249215378031027338463'- comment: LMFDB curve 2.2.5.1-41.1-a2 has conductor ideal $(w+6)$, rank $0$,- and equation ${y}^2+w{y}={x}^{3}-w{x}^{2}+\left(10w-40\right){x}+31w-113$.- '41.2':- a:- '1':- number: '0.94409956059063249215378031027338463'- comment: LMFDB curve 2.2.5.1-41.2-a1 has conductor ideal $(w-7)$, rank $0$,- and equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-10w-30\right){x}-32w-82$.- '2':- number: '46.260878468940992115535235203395846'- comment: LMFDB curve 2.2.5.1-41.2-a2 has conductor ideal $(w-7)$, rank $0$,- and equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}-w$.- '45.1':- a:- '1':- number: '0.12260555513695878593710348088219652'- comment: LMFDB curve 2.2.5.1-45.1-a1 has conductor ideal $(-6*w+3)$, rank- $0$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-4364w-7739\right){x}-255406w-296465$.- '2':- number: '0.49042222054783514374841392352878611'- comment: LMFDB curve 2.2.5.1-45.1-a2 has conductor ideal $(-6*w+3)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-110{x}-880$.- '3':- number: '31.387022115061449199898491105842311'- comment: LMFDB curve 2.2.5.1-45.1-a3 has conductor ideal $(-6*w+3)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}$.- '4':- number: '1.9616888821913405749936556941151444'- comment: LMFDB curve 2.2.5.1-45.1-a4 has conductor ideal $(-6*w+3)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+35{x}-28$.- '5':- number: '7.8467555287653622999746227764605778'- comment: LMFDB curve 2.2.5.1-45.1-a5 has conductor ideal $(-6*w+3)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-10{x}-10$.- '6':- number: '31.387022115061449199898491105842311'- comment: LMFDB curve 2.2.5.1-45.1-a6 has conductor ideal $(-6*w+3)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-5{x}+2$.- '7':- number: '1.9616888821913405749936556941151444'- comment: LMFDB curve 2.2.5.1-45.1-a7 has conductor ideal $(-6*w+3)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-135{x}-660$.- '8':- number: '31.387022115061449199898491105842311'- comment: LMFDB curve 2.2.5.1-45.1-a8 has conductor ideal $(-6*w+3)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-80{x}+242$.- '9':- number: '0.49042222054783514374841392352878611'- comment: LMFDB curve 2.2.5.1-45.1-a9 has conductor ideal $(-6*w+3)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-2160{x}-39540$.- '10':- number: '0.12260555513695878593710348088219652'- comment: LMFDB curve 2.2.5.1-45.1-a10 has conductor ideal $(-6*w+3)$, rank- $0$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(4364w-12105\right){x}+243301w-535402$.- '49.1':- a:- '1':- number: '1.0454481928634487527701685488301141'- comment: LMFDB curve 2.2.5.1-49.1-a1 has conductor ideal $(7)$, rank $0$,- and equation ${y}^2+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-30w-29\right){x}-102w-84$.- '2':- number: '26.136204821586218819254213720752854'- comment: LMFDB curve 2.2.5.1-49.1-a2 has conductor ideal $(7)$, rank $0$,- and equation ${y}^2+{y}={x}^{3}+w{x}^{2}+{x}$.- '55.1':- a:- '1':- number: '19.867075744978321874989709057800649'- comment: LMFDB curve 2.2.5.1-55.1-a1 has conductor ideal $(w+7)$, rank $0$,- and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(9w-25\right){x}-6w+44$.- '2':- number: '2.2074528605531468749988565619778499'- comment: LMFDB curve 2.2.5.1-55.1-a2 has conductor ideal $(w+7)$, rank $0$,- and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+54w{x}-374w-198$.- '3':- number: '39.734151489956643749979418115601298'- comment: LMFDB curve 2.2.5.1-55.1-a3 has conductor ideal $(w+7)$, rank $0$,- and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}-w$.- '4':- number: '4.4149057211062937499977131239556998'- comment: LMFDB curve 2.2.5.1-55.1-a4 has conductor ideal $(w+7)$, rank $0$,- and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-21w-25\right){x}-54w-58$.- '5':- number: '2.2074528605531468749988565619778499'- comment: LMFDB curve 2.2.5.1-55.1-a5 has conductor ideal $(w+7)$, rank $0$,- and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-16w-210\right){x}+1110w-534$.- '6':- number: '39.734151489956643749979418115601298'- comment: LMFDB curve 2.2.5.1-55.1-a6 has conductor ideal $(w+7)$, rank $0$,- and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(4w-11\right){x}-9w+13$.- '7':- number: '4.4149057211062937499977131239556998'- comment: LMFDB curve 2.2.5.1-55.1-a7 has conductor ideal $(w+7)$, rank $0$,- and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-6w-1\right){x}+w-17$.- '8':- number: '19.867075744978321874989709057800649'- comment: LMFDB curve 2.2.5.1-55.1-a8 has conductor ideal $(w+7)$, rank $0$,- and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-6w-26\right){x}+28w+8$.- '55.2':- a:- '1':- number: '39.734151489956643749979418115601298'- comment: LMFDB curve 2.2.5.1-55.2-a1 has conductor ideal $(-w+8)$, rank- $0$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}-w{x}$.- '2':- number: '4.4149057211062937499977131239556998'- comment: LMFDB curve 2.2.5.1-55.2-a2 has conductor ideal $(-w+8)$, rank- $0$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(4w-5\right){x}-2w-15$.- '3':- number: '19.867075744978321874989709057800649'- comment: LMFDB curve 2.2.5.1-55.2-a3 has conductor ideal $(-w+8)$, rank- $0$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(4w-30\right){x}-29w+37$.- '4':- number: '2.2074528605531468749988565619778499'- comment: LMFDB curve 2.2.5.1-55.2-a4 has conductor ideal $(-w+8)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(-54w+54\right){x}+374w-572$.- '5':- number: '4.4149057211062937499977131239556998'- comment: LMFDB curve 2.2.5.1-55.2-a5 has conductor ideal $(-w+8)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(21w-46\right){x}+54w-112$.- '6':- number: '39.734151489956643749979418115601298'- comment: LMFDB curve 2.2.5.1-55.2-a6 has conductor ideal $(-w+8)$, rank- $0$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-6w-5\right){x}+8w+5$.- '7':- number: '2.2074528605531468749988565619778499'- comment: LMFDB curve 2.2.5.1-55.2-a7 has conductor ideal $(-w+8)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(16w-226\right){x}-1110w+576$.- '8':- number: '19.867075744978321874989709057800649'- comment: LMFDB curve 2.2.5.1-55.2-a8 has conductor ideal $(-w+8)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(-9w-16\right){x}+6w+38$.+ 31.1-a1:+ number: '51.508839712536626724604612731543070'+ comment: LMFDB curve 2.2.5.1-31.1-a1 has conductor ideal $(5*w-2)$, rank $0$,+ and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+w{x}$.+ 31.1-a2:+ number: '1.6096512410167695851438941478607209'+ comment: LMFDB curve 2.2.5.1-31.1-a2 has conductor ideal $(5*w-2)$, rank $0$,+ and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(133w-141\right){x}+737w-764$.+ 31.1-a3:+ number: '6.4386049640670783405755765914428837'+ comment: LMFDB curve 2.2.5.1-31.1-a3 has conductor ideal $(5*w-2)$, rank $0$,+ and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-12w-21\right){x}+42w+10$.+ 31.1-a4:+ number: '1.6096512410167695851438941478607209'+ comment: LMFDB curve 2.2.5.1-31.1-a4 has conductor ideal $(5*w-2)$, rank $0$,+ and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(31w-75\right){x}+141w-303$.+ 31.1-a5:+ number: '25.754419856268313362302306365771535'+ comment: LMFDB curve 2.2.5.1-31.1-a5 has conductor ideal $(5*w-2)$, rank $0$,+ and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(w-5\right){x}+3w-5$.+ 31.1-a6:+ number: '12.877209928134156681151153182885767'+ comment: LMFDB curve 2.2.5.1-31.1-a6 has conductor ideal $(5*w-2)$, rank $0$,+ and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-18w+15\right){x}+171w-265$.+ 31.2-a1:+ number: '1.6096512410167695851438941478607209'+ comment: LMFDB curve 2.2.5.1-31.2-a1 has conductor ideal $(5*w-3)$, rank $0$,+ and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-30w-45\right){x}-111w-117$.+ 31.2-a2:+ number: '12.877209928134156681151153182885767'+ comment: LMFDB curve 2.2.5.1-31.2-a2 has conductor ideal $(5*w-3)$, rank $0$,+ and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(16w-2\right){x}-172w-94$.+ 31.2-a3:+ number: '51.508839712536626724604612731543070'+ comment: LMFDB curve 2.2.5.1-31.2-a3 has conductor ideal $(5*w-3)$, rank $0$,+ and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}$.+ 31.2-a4:+ number: '25.754419856268313362302306365771535'+ comment: LMFDB curve 2.2.5.1-31.2-a4 has conductor ideal $(5*w-3)$, rank $0$,+ and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}-5{x}-3w+3$.+ 31.2-a5:+ number: '6.4386049640670783405755765914428837'+ comment: LMFDB curve 2.2.5.1-31.2-a5 has conductor ideal $(5*w-3)$, rank $0$,+ and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(10w-32\right){x}-43w+53$.+ 31.2-a6:+ number: '1.6096512410167695851438941478607209'+ comment: LMFDB curve 2.2.5.1-31.2-a6 has conductor ideal $(5*w-3)$, rank $0$,+ and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-135w-7\right){x}-738w-26$.+ 36.1-a1:+ number: '44.299621696875096561752925819698961'+ comment: LMFDB curve 2.2.5.1-36.1-a1 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+w{x}^{2}$.+ 36.1-a2:+ number: '1.7719848678750038624701170327879584'+ comment: LMFDB curve 2.2.5.1-36.1-a2 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(-5w-5\right){x}-51w-37$.+ 36.1-a3:+ number: '1.7719848678750038624701170327879584'+ comment: LMFDB curve 2.2.5.1-36.1-a3 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(165w-331\right){x}+1352w-2408$.+ 36.1-a4:+ number: '44.299621696875096561752925819698961'+ comment: LMFDB curve 2.2.5.1-36.1-a4 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(10w-21\right){x}-31w+51$.+ 41.1-a1:+ number: '46.260878468940992115535235203395846'+ comment: LMFDB curve 2.2.5.1-41.1-a1 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+w{y}={x}^{3}-w{x}^{2}$.+ 41.1-a2:+ number: '0.94409956059063249215378031027338463'+ comment: LMFDB curve 2.2.5.1-41.1-a2 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+w{y}={x}^{3}-w{x}^{2}+\left(10w-40\right){x}+31w-113$.+ 41.2-a1:+ number: '0.94409956059063249215378031027338463'+ comment: LMFDB curve 2.2.5.1-41.2-a1 has conductor ideal $(w-7)$, rank $0$,+ and equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-10w-30\right){x}-32w-82$.+ 41.2-a2:+ number: '46.260878468940992115535235203395846'+ comment: LMFDB curve 2.2.5.1-41.2-a2 has conductor ideal $(w-7)$, rank $0$,+ and equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}-w$.+ 45.1-a1:+ number: '0.12260555513695878593710348088219652'+ comment: LMFDB curve 2.2.5.1-45.1-a1 has conductor ideal $(-6*w+3)$, rank $0$,+ and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-4364w-7739\right){x}-255406w-296465$.+ 45.1-a2:+ number: '0.49042222054783514374841392352878611'+ comment: LMFDB curve 2.2.5.1-45.1-a2 has conductor ideal $(-6*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-110{x}-880$.+ 45.1-a3:+ number: '31.387022115061449199898491105842311'+ comment: LMFDB curve 2.2.5.1-45.1-a3 has conductor ideal $(-6*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}$.+ 45.1-a4:+ number: '1.9616888821913405749936556941151444'+ comment: LMFDB curve 2.2.5.1-45.1-a4 has conductor ideal $(-6*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+35{x}-28$.+ 45.1-a5:+ number: '7.8467555287653622999746227764605778'+ comment: LMFDB curve 2.2.5.1-45.1-a5 has conductor ideal $(-6*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-10{x}-10$.+ 45.1-a6:+ number: '31.387022115061449199898491105842311'+ comment: LMFDB curve 2.2.5.1-45.1-a6 has conductor ideal $(-6*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-5{x}+2$.+ 45.1-a7:+ number: '1.9616888821913405749936556941151444'+ comment: LMFDB curve 2.2.5.1-45.1-a7 has conductor ideal $(-6*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-135{x}-660$.+ 45.1-a8:+ number: '31.387022115061449199898491105842311'+ comment: LMFDB curve 2.2.5.1-45.1-a8 has conductor ideal $(-6*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-80{x}+242$.+ 45.1-a9:+ number: '0.49042222054783514374841392352878611'+ comment: LMFDB curve 2.2.5.1-45.1-a9 has conductor ideal $(-6*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-2160{x}-39540$.+ 45.1-a10:+ number: '0.12260555513695878593710348088219652'+ comment: LMFDB curve 2.2.5.1-45.1-a10 has conductor ideal $(-6*w+3)$, rank $0$,+ and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(4364w-12105\right){x}+243301w-535402$.+ 49.1-a1:+ number: '1.0454481928634487527701685488301141'+ comment: LMFDB curve 2.2.5.1-49.1-a1 has conductor ideal $(7)$, rank $0$, and+ equation ${y}^2+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-30w-29\right){x}-102w-84$.+ 49.1-a2:+ number: '26.136204821586218819254213720752854'+ comment: LMFDB curve 2.2.5.1-49.1-a2 has conductor ideal $(7)$, rank $0$, and+ equation ${y}^2+{y}={x}^{3}+w{x}^{2}+{x}$.+ 55.1-a1:+ number: '19.867075744978321874989709057800649'+ comment: LMFDB curve 2.2.5.1-55.1-a1 has conductor ideal $(w+7)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(9w-25\right){x}-6w+44$.+ 55.1-a2:+ number: '2.2074528605531468749988565619778499'+ comment: LMFDB curve 2.2.5.1-55.1-a2 has conductor ideal $(w+7)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+54w{x}-374w-198$.+ 55.1-a3:+ number: '39.734151489956643749979418115601298'+ comment: LMFDB curve 2.2.5.1-55.1-a3 has conductor ideal $(w+7)$, rank $0$,+ and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}-w$.+ 55.1-a4:+ number: '4.4149057211062937499977131239556998'+ comment: LMFDB curve 2.2.5.1-55.1-a4 has conductor ideal $(w+7)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-21w-25\right){x}-54w-58$.+ 55.1-a5:+ number: '2.2074528605531468749988565619778499'+ comment: LMFDB curve 2.2.5.1-55.1-a5 has conductor ideal $(w+7)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-16w-210\right){x}+1110w-534$.+ 55.1-a6:+ number: '39.734151489956643749979418115601298'+ comment: LMFDB curve 2.2.5.1-55.1-a6 has conductor ideal $(w+7)$, rank $0$,+ and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(4w-11\right){x}-9w+13$.+ 55.1-a7:+ number: '4.4149057211062937499977131239556998'+ comment: LMFDB curve 2.2.5.1-55.1-a7 has conductor ideal $(w+7)$, rank $0$,+ and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-6w-1\right){x}+w-17$.+ 55.1-a8:+ number: '19.867075744978321874989709057800649'+ comment: LMFDB curve 2.2.5.1-55.1-a8 has conductor ideal $(w+7)$, rank $0$,+ and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-6w-26\right){x}+28w+8$.+ 55.2-a1:+ number: '39.734151489956643749979418115601298'+ comment: LMFDB curve 2.2.5.1-55.2-a1 has conductor ideal $(-w+8)$, rank $0$,+ and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}-w{x}$.+ 55.2-a2:+ number: '4.4149057211062937499977131239556998'+ comment: LMFDB curve 2.2.5.1-55.2-a2 has conductor ideal $(-w+8)$, rank $0$,+ and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(4w-5\right){x}-2w-15$.+ 55.2-a3:+ number: '19.867075744978321874989709057800649'+ comment: LMFDB curve 2.2.5.1-55.2-a3 has conductor ideal $(-w+8)$, rank $0$,+ and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(4w-30\right){x}-29w+37$.+ 55.2-a4:+ number: '2.2074528605531468749988565619778499'+ comment: LMFDB curve 2.2.5.1-55.2-a4 has conductor ideal $(-w+8)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(-54w+54\right){x}+374w-572$.+ 55.2-a5:+ number: '4.4149057211062937499977131239556998'+ comment: LMFDB curve 2.2.5.1-55.2-a5 has conductor ideal $(-w+8)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(21w-46\right){x}+54w-112$.+ 55.2-a6:+ number: '39.734151489956643749979418115601298'+ comment: LMFDB curve 2.2.5.1-55.2-a6 has conductor ideal $(-w+8)$, rank $0$,+ and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-6w-5\right){x}+8w+5$.+ 55.2-a7:+ number: '2.2074528605531468749988565619778499'+ comment: LMFDB curve 2.2.5.1-55.2-a7 has conductor ideal $(-w+8)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(16w-226\right){x}-1110w+576$.+ 55.2-a8:+ number: '19.867075744978321874989709057800649'+ comment: LMFDB curve 2.2.5.1-55.2-a8 has conductor ideal $(-w+8)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(-9w-16\right){x}+6w+38$. '8':- '9.1':- a:- '1':- number: '1.2669233425030481074640018689656843'- comment: LMFDB curve 2.2.8.1-9.1-a1 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-40a-60\right){x}-153a-220$.- '2':- number: '31.673083562576202686600046724142108'- comment: LMFDB curve 2.2.8.1-9.1-a2 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}$.- '3':- number: '63.346167125152405373200093448284217'- comment: LMFDB curve 2.2.8.1-9.1-a3 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-2a-3\right){x}$.- '4':- number: '2.5338466850060962149280037379313687'- comment: LMFDB curve 2.2.8.1-9.1-a4 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-162a-243\right){x}-1495a-2130$.- '17.1':- a:- '1':- number: '22.231615521354881834637139197812248'- comment: LMFDB curve 2.2.8.1-17.1-a1 has conductor ideal $(-3*w-1)$, rank- $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2a+1\right){x}-a$.- '2':- number: '2.4701795023727646482930154664235831'- comment: LMFDB curve 2.2.8.1-17.1-a2 has conductor ideal $(-3*w-1)$, rank- $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(13a-19\right){x}+47a-69$.- '3':- number: '4.9403590047455292965860309328471662'- comment: LMFDB curve 2.2.8.1-17.1-a3 has conductor ideal $(-3*w-1)$, rank- $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-34a-53\right){x}-113a-163$.- '4':- number: '44.463231042709763669274278395624496'- comment: LMFDB curve 2.2.8.1-17.1-a4 has conductor ideal $(-3*w-1)$, rank- $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a-1\right){x}-1$.- '17.2':- a:- '1':- number: '2.4701795023727646482930154664235831'- comment: LMFDB curve 2.2.8.1-17.2-a1 has conductor ideal $(3*w-1)$, rank- $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-14a-19\right){x}-48a-69$.- '2':- number: '22.231615521354881834637139197812248'- comment: LMFDB curve 2.2.8.1-17.2-a2 has conductor ideal $(3*w-1)$, rank- $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a+1\right){x}$.- '3':- number: '44.463231042709763669274278395624496'- comment: LMFDB curve 2.2.8.1-17.2-a3 has conductor ideal $(3*w-1)$, rank- $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2a-1\right){x}-a-1$.- '4':- number: '4.9403590047455292965860309328471662'- comment: LMFDB curve 2.2.8.1-17.2-a4 has conductor ideal $(3*w-1)$, rank- $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(33a-53\right){x}+112a-163$.- '28.1':- a:- '1':- number: '2.1554410537255203108024547071334435'- comment: LMFDB curve 2.2.8.1-28.1-a1 has conductor ideal $(-4*w+2)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-9a-18\right){x}-320a-467$.- '2':- number: '19.398969483529682797222092364200991'- comment: LMFDB curve 2.2.8.1-28.1-a2 has conductor ideal $(-4*w+2)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(a+2\right){x}+12a+17$.- '3':- number: '2.1554410537255203108024547071334435'- comment: LMFDB curve 2.2.8.1-28.1-a3 has conductor ideal $(-4*w+2)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-19a-148\right){x}+318a-201$.- '4':- number: '19.398969483529682797222092364200991'- comment: LMFDB curve 2.2.8.1-28.1-a4 has conductor ideal $(-4*w+2)$, rank- $0$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(-2a+3\right){x}$.- '5':- number: '38.797938967059365594444184728401983'- comment: LMFDB curve 2.2.8.1-28.1-a5 has conductor ideal $(-4*w+2)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(2a-4\right){x}-a+1$.- '6':- number: '4.3108821074510406216049094142668870'- comment: LMFDB curve 2.2.8.1-28.1-a6 has conductor ideal $(-4*w+2)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-34a-53\right){x}-133a-203$.- '7':- number: '19.398969483529682797222092364200991'- comment: LMFDB curve 2.2.8.1-28.1-a7 has conductor ideal $(-4*w+2)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(17a-29\right){x}+49a-66$.- '8':- number: '2.1554410537255203108024547071334435'- comment: LMFDB curve 2.2.8.1-28.1-a8 has conductor ideal $(-4*w+2)$, rank- $0$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(18a-37\right){x}+68a-108$.- '28.2':- a:- '1':- number: '2.1554410537255203108024547071334435'- comment: LMFDB curve 2.2.8.1-28.2-a1 has conductor ideal $(4*w+2)$, rank- $0$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(-18a-37\right){x}-68a-108$.- '2':- number: '19.398969483529682797222092364200991'- comment: LMFDB curve 2.2.8.1-28.2-a2 has conductor ideal $(4*w+2)$, rank- $0$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(2a+3\right){x}$.- '3':- number: '38.797938967059365594444184728401983'- comment: LMFDB curve 2.2.8.1-28.2-a3 has conductor ideal $(4*w+2)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-2a-4\right){x}+a+1$.- '4':- number: '2.1554410537255203108024547071334435'- comment: LMFDB curve 2.2.8.1-28.2-a4 has conductor ideal $(4*w+2)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(9a-18\right){x}+320a-467$.- '5':- number: '19.398969483529682797222092364200991'- comment: LMFDB curve 2.2.8.1-28.2-a5 has conductor ideal $(4*w+2)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-17a-29\right){x}-49a-66$.- '6':- number: '19.398969483529682797222092364200991'- comment: LMFDB curve 2.2.8.1-28.2-a6 has conductor ideal $(4*w+2)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-a+2\right){x}-12a+17$.- '7':- number: '4.3108821074510406216049094142668870'- comment: LMFDB curve 2.2.8.1-28.2-a7 has conductor ideal $(4*w+2)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(34a-53\right){x}+133a-203$.- '8':- number: '2.1554410537255203108024547071334435'- comment: LMFDB curve 2.2.8.1-28.2-a8 has conductor ideal $(4*w+2)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(19a-148\right){x}-318a-201$.- '31.1':- a:- '1':- number: '2.5444544631482462736726367690884578'- comment: LMFDB curve 2.2.8.1-31.1-a1 has conductor ideal $(-4*w-1)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-7a-21\right){x}-31a-52$.- '2':- number: '20.355635705185970189381094152707662'- comment: LMFDB curve 2.2.8.1-31.1-a2 has conductor ideal $(-4*w-1)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-2a-1\right){x}-a-2$.- '3':- number: '10.177817852592985094690547076353831'- comment: LMFDB curve 2.2.8.1-31.1-a3 has conductor ideal $(-4*w-1)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(10a-14\right){x}+21a-30$.- '4':- number: '5.0889089262964925473452735381769157'- comment: LMFDB curve 2.2.8.1-31.1-a4 has conductor ideal $(-4*w-1)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(25a-49\right){x}-79a+100$.- '31.2':- a:- '1':- number: '20.355635705185970189381094152707662'- comment: LMFDB curve 2.2.8.1-31.2-a1 has conductor ideal $(4*w-1)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}$.- '2':- number: '5.0889089262964925473452735381769157'- comment: LMFDB curve 2.2.8.1-31.2-a2 has conductor ideal $(4*w-1)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-25a-49\right){x}+79a+100$.- '3':- number: '10.177817852592985094690547076353831'- comment: LMFDB curve 2.2.8.1-31.2-a3 has conductor ideal $(4*w-1)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-10a-14\right){x}-21a-30$.- '4':- number: '2.5444544631482462736726367690884578'- comment: LMFDB curve 2.2.8.1-31.2-a4 has conductor ideal $(4*w-1)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(5a-20\right){x}+10a-40$.- '32.1':- a:- '1':- number: '3.4375929090101864137450478899052785'- comment: LMFDB curve 2.2.8.1-32.1-a1 has conductor ideal $(4*w)$, rank $0$,- and equation ${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(15a-22\right){x}+46a-69$.- '2':- number: '27.500743272081491309960383119242228'- comment: LMFDB curve 2.2.8.1-32.1-a2 has conductor ideal $(4*w)$, rank $0$,- and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(15a-23\right){x}-31a+46$.- '3':- number: '13.750371636040745654980191559621114'- comment: LMFDB curve 2.2.8.1-32.1-a3 has conductor ideal $(4*w)$, rank $0$,- and equation ${y}^2={x}^{3}+{x}$.- '4':- number: '27.500743272081491309960383119242228'- comment: LMFDB curve 2.2.8.1-32.1-a4 has conductor ideal $(4*w)$, rank $0$,- and equation ${y}^2={x}^{3}-{x}$.- '5':- number: '13.750371636040745654980191559621114'- comment: LMFDB curve 2.2.8.1-32.1-a5 has conductor ideal $(4*w)$, rank $0$,- and equation ${y}^2+a{x}{y}={x}^{3}+{x}^{2}-2{x}-3$.- '6':- number: '55.001486544162982619920766238484457'- comment: LMFDB curve 2.2.8.1-32.1-a6 has conductor ideal $(4*w)$, rank $0$,- and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-3{x}$.- '7':- number: '3.4375929090101864137450478899052785'- comment: LMFDB curve 2.2.8.1-32.1-a7 has conductor ideal $(4*w)$, rank $0$,- and equation ${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(-15a-22\right){x}-46a-69$.- '8':- number: '27.500743272081491309960383119242228'- comment: LMFDB curve 2.2.8.1-32.1-a8 has conductor ideal $(4*w)$, rank $0$,- and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-15a-23\right){x}+31a+46$.- '34.1':- a:- '1':- number: '2.7900557341314586069760993720856243'- comment: LMFDB curve 2.2.8.1-34.1-a1 has conductor ideal $(w+6)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-16a+19\right){x}-25a+31$.- '2':- number: '25.110501607183127462784894348770619'- comment: LMFDB curve 2.2.8.1-34.1-a2 has conductor ideal $(w+6)$, rank $0$,- and equation ${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(2a+4\right){x}$.- '3':- number: '25.110501607183127462784894348770619'- comment: LMFDB curve 2.2.8.1-34.1-a3 has conductor ideal $(w+6)$, rank $0$,- and equation ${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-8a-16\right){x}-10a-4$.- '4':- number: '2.7900557341314586069760993720856243'- comment: LMFDB curve 2.2.8.1-34.1-a4 has conductor ideal $(w+6)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(64a-141\right){x}-457a+479$.- '34.2':- a:- '1':- number: '25.110501607183127462784894348770619'- comment: LMFDB curve 2.2.8.1-34.2-a1 has conductor ideal $(w-6)$, rank $0$,- and equation ${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-2a+4\right){x}$.- '2':- number: '2.7900557341314586069760993720856243'- comment: LMFDB curve 2.2.8.1-34.2-a2 has conductor ideal $(w-6)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(15a+20\right){x}+44a+62$.- '3':- number: '2.7900557341314586069760993720856243'- comment: LMFDB curve 2.2.8.1-34.2-a3 has conductor ideal $(w-6)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-65a-140\right){x}+316a+350$.- '4':- number: '25.110501607183127462784894348770619'- comment: LMFDB curve 2.2.8.1-34.2-a4 has conductor ideal $(w-6)$, rank $0$,- and equation ${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(8a-16\right){x}+10a-4$.- '46.1':- a:- '1':- number: '1.5824147965010857401360207618055234'- comment: LMFDB curve 2.2.8.1-46.1-a1 has conductor ideal $(-5*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(15a-24\right){x}+46a-66$.- '2':- number: '14.241733168509771661224186856249711'- comment: LMFDB curve 2.2.8.1-46.1-a2 has conductor ideal $(-5*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+{x}-1$.- b:- '1':- number: '0.22978045425775758037411263811389772'- comment: LMFDB curve 2.2.8.1-46.1-b1 has conductor ideal $(-5*w+2)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(-947a-1473\right){x}-20242a-29187$.- '2':- number: '27.803434965188667225267629211781624'- comment: LMFDB curve 2.2.8.1-46.1-b2 has conductor ideal $(-5*w+2)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(-2a-3\right){x}+2a+3$.- '46.2':- a:- '1':- number: '1.5824147965010857401360207618055234'- comment: LMFDB curve 2.2.8.1-46.2-a1 has conductor ideal $(-5*w-2)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-16a-24\right){x}-46a-66$.- '2':- number: '14.241733168509771661224186856249711'- comment: LMFDB curve 2.2.8.1-46.2-a2 has conductor ideal $(-5*w-2)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-a+1\right){x}-1$.- b:- '1':- number: '0.22978045425775758037411263811389772'- comment: LMFDB curve 2.2.8.1-46.2-b1 has conductor ideal $(-5*w-2)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(946a-1473\right){x}+20242a-29187$.- '2':- number: '27.803434965188667225267629211781624'- comment: LMFDB curve 2.2.8.1-46.2-b2 has conductor ideal $(-5*w-2)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(a-3\right){x}-2a+3$.- '47.1':- a:- '1':- number: '4.8753677953431512709097668788005396'- comment: LMFDB curve 2.2.8.1-47.1-a1 has conductor ideal $(w+7)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-2{x}-18a-27$.- '2':- number: '9.7507355906863025418195337576010792'- comment: LMFDB curve 2.2.8.1-47.1-a2 has conductor ideal $(w+7)$, rank $0$,- and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-3\right){x}+a-3$.- '47.2':- a:- '1':- number: '9.7507355906863025418195337576010792'- comment: LMFDB curve 2.2.8.1-47.2-a1 has conductor ideal $(w-7)$, rank $0$,- and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-2a-3\right){x}-2a-3$.- '2':- number: '4.8753677953431512709097668788005396'- comment: LMFDB curve 2.2.8.1-47.2-a2 has conductor ideal $(w-7)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-a-2\right){x}+18a-27$.- '49.1':- a:- '1':- number: '0.41998310952187457226066668680647274'- comment: LMFDB curve 2.2.8.1-49.1-a1 has conductor ideal $(7)$, rank $0$,- and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(389a-919\right){x}+7231a-12956$.- '2':- number: '3.7798479856968711503460001812582546'- comment: LMFDB curve 2.2.8.1-49.1-a2 has conductor ideal $(7)$, rank $0$,- and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(4a-9\right){x}+14a-27$.- '3':- number: '34.018631871271840353114001631324292'- comment: LMFDB curve 2.2.8.1-49.1-a3 has conductor ideal $(7)$, rank $0$,- and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-a+1\right){x}$.- '4':- number: '34.018631871271840353114001631324292'- comment: LMFDB curve 2.2.8.1-49.1-a4 has conductor ideal $(7)$, rank $0$,- and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+{x}$.- '5':- number: '3.7798479856968711503460001812582546'- comment: LMFDB curve 2.2.8.1-49.1-a5 has conductor ideal $(7)$, rank $0$,- and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-5a-9\right){x}-14a-27$.- '6':- number: '0.41998310952187457226066668680647274'- comment: LMFDB curve 2.2.8.1-49.1-a6 has conductor ideal $(7)$, rank $0$,- and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-390a-919\right){x}-7231a-12956$.- '56.1':- a:- '1':- number: '34.035364315245701419198126513139214'- comment: LMFDB curve 2.2.8.1-56.1-a1 has conductor ideal $(2*w+8)$, rank- $0$, and equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(2a-1\right){x}-a+2$.- '2':- number: '2.1272102697028563386998829070712009'- comment: LMFDB curve 2.2.8.1-56.1-a2 has conductor ideal $(2*w+8)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(105a+134\right){x}-86a-139$.- '3':- number: '8.5088410788114253547995316282848036'- comment: LMFDB curve 2.2.8.1-56.1-a3 has conductor ideal $(2*w+8)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(10a-17\right){x}+31a-44$.- '4':- number: '34.035364315245701419198126513139214'- comment: LMFDB curve 2.2.8.1-56.1-a4 has conductor ideal $(2*w+8)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}-2{x}+a-1$.- '5':- number: '2.1272102697028563386998829070712009'- comment: LMFDB curve 2.2.8.1-56.1-a5 has conductor ideal $(2*w+8)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}-27{x}+21a-74$.- '6':- number: '17.017682157622850709599063256569607'- comment: LMFDB curve 2.2.8.1-56.1-a6 has conductor ideal $(2*w+8)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-10a-7\right){x}+15a+20$.- '56.2':- a:- '1':- number: '2.1272102697028563386998829070712009'- comment: LMFDB curve 2.2.8.1-56.2-a1 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}-27{x}-21a-74$.- '2':- number: '17.017682157622850709599063256569607'- comment: LMFDB curve 2.2.8.1-56.2-a2 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(10a-7\right){x}-15a+20$.- '3':- number: '34.035364315245701419198126513139214'- comment: LMFDB curve 2.2.8.1-56.2-a3 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}-2{x}-a-1$.- '4':- number: '34.035364315245701419198126513139214'- comment: LMFDB curve 2.2.8.1-56.2-a4 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2a-1\right){x}+a+2$.- '5':- number: '8.5088410788114253547995316282848036'- comment: LMFDB curve 2.2.8.1-56.2-a5 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-10a-17\right){x}-31a-44$.- '6':- number: '2.1272102697028563386998829070712009'- comment: LMFDB curve 2.2.8.1-56.2-a6 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(-105a+134\right){x}+86a-139$.+ 9.1-a1:+ number: '1.2669233425030481074640018689656843'+ comment: LMFDB curve 2.2.8.1-9.1-a1 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-40a-60\right){x}-153a-220$.+ 9.1-a2:+ number: '31.673083562576202686600046724142108'+ comment: LMFDB curve 2.2.8.1-9.1-a2 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}$.+ 9.1-a3:+ number: '63.346167125152405373200093448284217'+ comment: LMFDB curve 2.2.8.1-9.1-a3 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-2a-3\right){x}$.+ 9.1-a4:+ number: '2.5338466850060962149280037379313687'+ comment: LMFDB curve 2.2.8.1-9.1-a4 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-162a-243\right){x}-1495a-2130$.+ 17.1-a1:+ number: '22.231615521354881834637139197812248'+ comment: LMFDB curve 2.2.8.1-17.1-a1 has conductor ideal $(-3*w-1)$, rank $0$,+ and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2a+1\right){x}-a$.+ 17.1-a2:+ number: '2.4701795023727646482930154664235831'+ comment: LMFDB curve 2.2.8.1-17.1-a2 has conductor ideal $(-3*w-1)$, rank $0$,+ and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(13a-19\right){x}+47a-69$.+ 17.1-a3:+ number: '4.9403590047455292965860309328471662'+ comment: LMFDB curve 2.2.8.1-17.1-a3 has conductor ideal $(-3*w-1)$, rank $0$,+ and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-34a-53\right){x}-113a-163$.+ 17.1-a4:+ number: '44.463231042709763669274278395624496'+ comment: LMFDB curve 2.2.8.1-17.1-a4 has conductor ideal $(-3*w-1)$, rank $0$,+ and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a-1\right){x}-1$.+ 17.2-a1:+ number: '2.4701795023727646482930154664235831'+ comment: LMFDB curve 2.2.8.1-17.2-a1 has conductor ideal $(3*w-1)$, rank $0$,+ and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-14a-19\right){x}-48a-69$.+ 17.2-a2:+ number: '22.231615521354881834637139197812248'+ comment: LMFDB curve 2.2.8.1-17.2-a2 has conductor ideal $(3*w-1)$, rank $0$,+ and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a+1\right){x}$.+ 17.2-a3:+ number: '44.463231042709763669274278395624496'+ comment: LMFDB curve 2.2.8.1-17.2-a3 has conductor ideal $(3*w-1)$, rank $0$,+ and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2a-1\right){x}-a-1$.+ 17.2-a4:+ number: '4.9403590047455292965860309328471662'+ comment: LMFDB curve 2.2.8.1-17.2-a4 has conductor ideal $(3*w-1)$, rank $0$,+ and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(33a-53\right){x}+112a-163$.+ 28.1-a1:+ number: '2.1554410537255203108024547071334435'+ comment: LMFDB curve 2.2.8.1-28.1-a1 has conductor ideal $(-4*w+2)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-9a-18\right){x}-320a-467$.+ 28.1-a2:+ number: '19.398969483529682797222092364200991'+ comment: LMFDB curve 2.2.8.1-28.1-a2 has conductor ideal $(-4*w+2)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(a+2\right){x}+12a+17$.+ 28.1-a3:+ number: '2.1554410537255203108024547071334435'+ comment: LMFDB curve 2.2.8.1-28.1-a3 has conductor ideal $(-4*w+2)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-19a-148\right){x}+318a-201$.+ 28.1-a4:+ number: '19.398969483529682797222092364200991'+ comment: LMFDB curve 2.2.8.1-28.1-a4 has conductor ideal $(-4*w+2)$, rank $0$,+ and equation ${y}^2={x}^{3}-{x}^{2}+\left(-2a+3\right){x}$.+ 28.1-a5:+ number: '38.797938967059365594444184728401983'+ comment: LMFDB curve 2.2.8.1-28.1-a5 has conductor ideal $(-4*w+2)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(2a-4\right){x}-a+1$.+ 28.1-a6:+ number: '4.3108821074510406216049094142668870'+ comment: LMFDB curve 2.2.8.1-28.1-a6 has conductor ideal $(-4*w+2)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-34a-53\right){x}-133a-203$.+ 28.1-a7:+ number: '19.398969483529682797222092364200991'+ comment: LMFDB curve 2.2.8.1-28.1-a7 has conductor ideal $(-4*w+2)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(17a-29\right){x}+49a-66$.+ 28.1-a8:+ number: '2.1554410537255203108024547071334435'+ comment: LMFDB curve 2.2.8.1-28.1-a8 has conductor ideal $(-4*w+2)$, rank $0$,+ and equation ${y}^2={x}^{3}-{x}^{2}+\left(18a-37\right){x}+68a-108$.+ 28.2-a1:+ number: '2.1554410537255203108024547071334435'+ comment: LMFDB curve 2.2.8.1-28.2-a1 has conductor ideal $(4*w+2)$, rank $0$,+ and equation ${y}^2={x}^{3}-{x}^{2}+\left(-18a-37\right){x}-68a-108$.+ 28.2-a2:+ number: '19.398969483529682797222092364200991'+ comment: LMFDB curve 2.2.8.1-28.2-a2 has conductor ideal $(4*w+2)$, rank $0$,+ and equation ${y}^2={x}^{3}-{x}^{2}+\left(2a+3\right){x}$.+ 28.2-a3:+ number: '38.797938967059365594444184728401983'+ comment: LMFDB curve 2.2.8.1-28.2-a3 has conductor ideal $(4*w+2)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-2a-4\right){x}+a+1$.+ 28.2-a4:+ number: '2.1554410537255203108024547071334435'+ comment: LMFDB curve 2.2.8.1-28.2-a4 has conductor ideal $(4*w+2)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(9a-18\right){x}+320a-467$.+ 28.2-a5:+ number: '19.398969483529682797222092364200991'+ comment: LMFDB curve 2.2.8.1-28.2-a5 has conductor ideal $(4*w+2)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-17a-29\right){x}-49a-66$.+ 28.2-a6:+ number: '19.398969483529682797222092364200991'+ comment: LMFDB curve 2.2.8.1-28.2-a6 has conductor ideal $(4*w+2)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-a+2\right){x}-12a+17$.+ 28.2-a7:+ number: '4.3108821074510406216049094142668870'+ comment: LMFDB curve 2.2.8.1-28.2-a7 has conductor ideal $(4*w+2)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(34a-53\right){x}+133a-203$.+ 28.2-a8:+ number: '2.1554410537255203108024547071334435'+ comment: LMFDB curve 2.2.8.1-28.2-a8 has conductor ideal $(4*w+2)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(19a-148\right){x}-318a-201$.+ 31.1-a1:+ number: '2.5444544631482462736726367690884578'+ comment: LMFDB curve 2.2.8.1-31.1-a1 has conductor ideal $(-4*w-1)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-7a-21\right){x}-31a-52$.+ 31.1-a2:+ number: '20.355635705185970189381094152707662'+ comment: LMFDB curve 2.2.8.1-31.1-a2 has conductor ideal $(-4*w-1)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-2a-1\right){x}-a-2$.+ 31.1-a3:+ number: '10.177817852592985094690547076353831'+ comment: LMFDB curve 2.2.8.1-31.1-a3 has conductor ideal $(-4*w-1)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(10a-14\right){x}+21a-30$.+ 31.1-a4:+ number: '5.0889089262964925473452735381769157'+ comment: LMFDB curve 2.2.8.1-31.1-a4 has conductor ideal $(-4*w-1)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(25a-49\right){x}-79a+100$.+ 31.2-a1:+ number: '20.355635705185970189381094152707662'+ comment: LMFDB curve 2.2.8.1-31.2-a1 has conductor ideal $(4*w-1)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}$.+ 31.2-a2:+ number: '5.0889089262964925473452735381769157'+ comment: LMFDB curve 2.2.8.1-31.2-a2 has conductor ideal $(4*w-1)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-25a-49\right){x}+79a+100$.+ 31.2-a3:+ number: '10.177817852592985094690547076353831'+ comment: LMFDB curve 2.2.8.1-31.2-a3 has conductor ideal $(4*w-1)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-10a-14\right){x}-21a-30$.+ 31.2-a4:+ number: '2.5444544631482462736726367690884578'+ comment: LMFDB curve 2.2.8.1-31.2-a4 has conductor ideal $(4*w-1)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(5a-20\right){x}+10a-40$.+ 32.1-a1:+ number: '3.4375929090101864137450478899052785'+ comment: LMFDB curve 2.2.8.1-32.1-a1 has conductor ideal $(4*w)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(15a-22\right){x}+46a-69$.+ 32.1-a2:+ number: '27.500743272081491309960383119242228'+ comment: LMFDB curve 2.2.8.1-32.1-a2 has conductor ideal $(4*w)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(15a-23\right){x}-31a+46$.+ 32.1-a3:+ number: '13.750371636040745654980191559621114'+ comment: LMFDB curve 2.2.8.1-32.1-a3 has conductor ideal $(4*w)$, rank $0$,+ and equation ${y}^2={x}^{3}+{x}$.+ 32.1-a4:+ number: '27.500743272081491309960383119242228'+ comment: LMFDB curve 2.2.8.1-32.1-a4 has conductor ideal $(4*w)$, rank $0$,+ and equation ${y}^2={x}^{3}-{x}$.+ 32.1-a5:+ number: '13.750371636040745654980191559621114'+ comment: LMFDB curve 2.2.8.1-32.1-a5 has conductor ideal $(4*w)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+{x}^{2}-2{x}-3$.+ 32.1-a6:+ number: '55.001486544162982619920766238484457'+ comment: LMFDB curve 2.2.8.1-32.1-a6 has conductor ideal $(4*w)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-3{x}$.+ 32.1-a7:+ number: '3.4375929090101864137450478899052785'+ comment: LMFDB curve 2.2.8.1-32.1-a7 has conductor ideal $(4*w)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(-15a-22\right){x}-46a-69$.+ 32.1-a8:+ number: '27.500743272081491309960383119242228'+ comment: LMFDB curve 2.2.8.1-32.1-a8 has conductor ideal $(4*w)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-15a-23\right){x}+31a+46$.+ 34.1-a1:+ number: '2.7900557341314586069760993720856243'+ comment: LMFDB curve 2.2.8.1-34.1-a1 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-16a+19\right){x}-25a+31$.+ 34.1-a2:+ number: '25.110501607183127462784894348770619'+ comment: LMFDB curve 2.2.8.1-34.1-a2 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(2a+4\right){x}$.+ 34.1-a3:+ number: '25.110501607183127462784894348770619'+ comment: LMFDB curve 2.2.8.1-34.1-a3 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-8a-16\right){x}-10a-4$.+ 34.1-a4:+ number: '2.7900557341314586069760993720856243'+ comment: LMFDB curve 2.2.8.1-34.1-a4 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(64a-141\right){x}-457a+479$.+ 34.2-a1:+ number: '25.110501607183127462784894348770619'+ comment: LMFDB curve 2.2.8.1-34.2-a1 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-2a+4\right){x}$.+ 34.2-a2:+ number: '2.7900557341314586069760993720856243'+ comment: LMFDB curve 2.2.8.1-34.2-a2 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(15a+20\right){x}+44a+62$.+ 34.2-a3:+ number: '2.7900557341314586069760993720856243'+ comment: LMFDB curve 2.2.8.1-34.2-a3 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-65a-140\right){x}+316a+350$.+ 34.2-a4:+ number: '25.110501607183127462784894348770619'+ comment: LMFDB curve 2.2.8.1-34.2-a4 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(8a-16\right){x}+10a-4$.+ 46.1-a1:+ number: '1.5824147965010857401360207618055234'+ comment: LMFDB curve 2.2.8.1-46.1-a1 has conductor ideal $(-5*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(15a-24\right){x}+46a-66$.+ 46.1-a2:+ number: '14.241733168509771661224186856249711'+ comment: LMFDB curve 2.2.8.1-46.1-a2 has conductor ideal $(-5*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+{x}-1$.+ 46.1-b1:+ number: '0.22978045425775758037411263811389772'+ comment: LMFDB curve 2.2.8.1-46.1-b1 has conductor ideal $(-5*w+2)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(-947a-1473\right){x}-20242a-29187$.+ 46.1-b2:+ number: '27.803434965188667225267629211781624'+ comment: LMFDB curve 2.2.8.1-46.1-b2 has conductor ideal $(-5*w+2)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(-2a-3\right){x}+2a+3$.+ 46.2-a1:+ number: '1.5824147965010857401360207618055234'+ comment: LMFDB curve 2.2.8.1-46.2-a1 has conductor ideal $(-5*w-2)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-16a-24\right){x}-46a-66$.+ 46.2-a2:+ number: '14.241733168509771661224186856249711'+ comment: LMFDB curve 2.2.8.1-46.2-a2 has conductor ideal $(-5*w-2)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-a+1\right){x}-1$.+ 46.2-b1:+ number: '0.22978045425775758037411263811389772'+ comment: LMFDB curve 2.2.8.1-46.2-b1 has conductor ideal $(-5*w-2)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(946a-1473\right){x}+20242a-29187$.+ 46.2-b2:+ number: '27.803434965188667225267629211781624'+ comment: LMFDB curve 2.2.8.1-46.2-b2 has conductor ideal $(-5*w-2)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(a-3\right){x}-2a+3$.+ 47.1-a1:+ number: '4.8753677953431512709097668788005396'+ comment: LMFDB curve 2.2.8.1-47.1-a1 has conductor ideal $(w+7)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-2{x}-18a-27$.+ 47.1-a2:+ number: '9.7507355906863025418195337576010792'+ comment: LMFDB curve 2.2.8.1-47.1-a2 has conductor ideal $(w+7)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-3\right){x}+a-3$.+ 47.2-a1:+ number: '9.7507355906863025418195337576010792'+ comment: LMFDB curve 2.2.8.1-47.2-a1 has conductor ideal $(w-7)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-2a-3\right){x}-2a-3$.+ 47.2-a2:+ number: '4.8753677953431512709097668788005396'+ comment: LMFDB curve 2.2.8.1-47.2-a2 has conductor ideal $(w-7)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-a-2\right){x}+18a-27$.+ 49.1-a1:+ number: '0.41998310952187457226066668680647274'+ comment: LMFDB curve 2.2.8.1-49.1-a1 has conductor ideal $(7)$, rank $0$, and+ equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(389a-919\right){x}+7231a-12956$.+ 49.1-a2:+ number: '3.7798479856968711503460001812582546'+ comment: LMFDB curve 2.2.8.1-49.1-a2 has conductor ideal $(7)$, rank $0$, and+ equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(4a-9\right){x}+14a-27$.+ 49.1-a3:+ number: '34.018631871271840353114001631324292'+ comment: LMFDB curve 2.2.8.1-49.1-a3 has conductor ideal $(7)$, rank $0$, and+ equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-a+1\right){x}$.+ 49.1-a4:+ number: '34.018631871271840353114001631324292'+ comment: LMFDB curve 2.2.8.1-49.1-a4 has conductor ideal $(7)$, rank $0$, and+ equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+{x}$.+ 49.1-a5:+ number: '3.7798479856968711503460001812582546'+ comment: LMFDB curve 2.2.8.1-49.1-a5 has conductor ideal $(7)$, rank $0$, and+ equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-5a-9\right){x}-14a-27$.+ 49.1-a6:+ number: '0.41998310952187457226066668680647274'+ comment: LMFDB curve 2.2.8.1-49.1-a6 has conductor ideal $(7)$, rank $0$, and+ equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-390a-919\right){x}-7231a-12956$.+ 56.1-a1:+ number: '34.035364315245701419198126513139214'+ comment: LMFDB curve 2.2.8.1-56.1-a1 has conductor ideal $(2*w+8)$, rank $0$,+ and equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(2a-1\right){x}-a+2$.+ 56.1-a2:+ number: '2.1272102697028563386998829070712009'+ comment: LMFDB curve 2.2.8.1-56.1-a2 has conductor ideal $(2*w+8)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(105a+134\right){x}-86a-139$.+ 56.1-a3:+ number: '8.5088410788114253547995316282848036'+ comment: LMFDB curve 2.2.8.1-56.1-a3 has conductor ideal $(2*w+8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(10a-17\right){x}+31a-44$.+ 56.1-a4:+ number: '34.035364315245701419198126513139214'+ comment: LMFDB curve 2.2.8.1-56.1-a4 has conductor ideal $(2*w+8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}-2{x}+a-1$.+ 56.1-a5:+ number: '2.1272102697028563386998829070712009'+ comment: LMFDB curve 2.2.8.1-56.1-a5 has conductor ideal $(2*w+8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}-27{x}+21a-74$.+ 56.1-a6:+ number: '17.017682157622850709599063256569607'+ comment: LMFDB curve 2.2.8.1-56.1-a6 has conductor ideal $(2*w+8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-10a-7\right){x}+15a+20$.+ 56.2-a1:+ number: '2.1272102697028563386998829070712009'+ comment: LMFDB curve 2.2.8.1-56.2-a1 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}-27{x}-21a-74$.+ 56.2-a2:+ number: '17.017682157622850709599063256569607'+ comment: LMFDB curve 2.2.8.1-56.2-a2 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(10a-7\right){x}-15a+20$.+ 56.2-a3:+ number: '34.035364315245701419198126513139214'+ comment: LMFDB curve 2.2.8.1-56.2-a3 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}-2{x}-a-1$.+ 56.2-a4:+ number: '34.035364315245701419198126513139214'+ comment: LMFDB curve 2.2.8.1-56.2-a4 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2a-1\right){x}+a+2$.+ 56.2-a5:+ number: '8.5088410788114253547995316282848036'+ comment: LMFDB curve 2.2.8.1-56.2-a5 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-10a-17\right){x}-31a-44$.+ 56.2-a6:+ number: '2.1272102697028563386998829070712009'+ comment: LMFDB curve 2.2.8.1-56.2-a6 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(-105a+134\right){x}+86a-139$. '12':- '9.1':- a:- '1':- number: '3.2834968692197041385283077299089865'- comment: LMFDB curve 2.2.12.1-9.1-a1 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(25a-45\right){x}+72a-127$.- '2':- number: '29.551471822977337246754769569180878'- comment: LMFDB curve 2.2.12.1-9.1-a2 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(25a-45\right){x}-117a+202$.- '3':- number: '29.551471822977337246754769569180878'- comment: LMFDB curve 2.2.12.1-9.1-a3 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}$.- '4':- number: '29.551471822977337246754769569180878'- comment: LMFDB curve 2.2.12.1-9.1-a4 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-7a+13\right){x}+6a-10$.- '5':- number: '3.2834968692197041385283077299089865'- comment: LMFDB curve 2.2.12.1-9.1-a5 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(88a-152\right){x}+564a-977$.- '6':- number: '29.551471822977337246754769569180878'- comment: LMFDB curve 2.2.12.1-9.1-a6 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(88a-152\right){x}-717a+1242$.- '16.1':- a:- '1':- number: '17.695031908454309764234228747255048'- comment: LMFDB curve 2.2.12.1-16.1-a1 has conductor ideal $(4)$, rank $0$,- and equation ${y}^2={x}^{3}-a{x}^{2}+{x}-3a-5$.- '2':- number: '17.695031908454309764234228747255048'- comment: LMFDB curve 2.2.12.1-16.1-a2 has conductor ideal $(4)$, rank $0$,- and equation ${y}^2={x}^{3}+a{x}^{2}+{x}+3a+5$.- '3':- number: '8.8475159542271548821171143736275243'- comment: LMFDB curve 2.2.12.1-16.1-a3 has conductor ideal $(4)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(4a-13\right){x}+11a-21$.- '4':- number: '35.390063816908619528468457494510097'- comment: LMFDB curve 2.2.12.1-16.1-a4 has conductor ideal $(4)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(4a-13\right){x}-12a+19$.- '5':- number: '35.390063816908619528468457494510097'- comment: LMFDB curve 2.2.12.1-16.1-a5 has conductor ideal $(4)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-a-3\right){x}-1$.- '6':- number: '35.390063816908619528468457494510097'- comment: LMFDB curve 2.2.12.1-16.1-a6 has conductor ideal $(4)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-a-3\right){x}-a-1$.- '7':- number: '8.8475159542271548821171143736275243'- comment: LMFDB curve 2.2.12.1-16.1-a7 has conductor ideal $(4)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-6a-13\right){x}-12a-21$.- '8':- number: '35.390063816908619528468457494510097'- comment: LMFDB curve 2.2.12.1-16.1-a8 has conductor ideal $(4)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-6a-13\right){x}+11a+19$.- '22.1':- a:- '1':- number: '19.486238585294107332133559156819675'- comment: LMFDB curve 2.2.12.1-22.1-a1 has conductor ideal $(w+5)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(14261a-24701\right){x}-1229141a+2128933$.- '2':- number: '2.1651376205882341480148399063132972'- comment: LMFDB curve 2.2.12.1-22.1-a2 has conductor ideal $(w+5)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-23694a+41039\right){x}-5992615a+10379512$.- '3':- number: '2.1651376205882341480148399063132972'- comment: LMFDB curve 2.2.12.1-22.1-a3 has conductor ideal $(w+5)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(18a-33\right){x}+83a-145$.- '4':- number: '19.486238585294107332133559156819675'- comment: LMFDB curve 2.2.12.1-22.1-a4 has conductor ideal $(w+5)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2a+2\right){x}-a+1$.- b:- '1':- number: '0.59789702229994567176742167092314897'- comment: LMFDB curve 2.2.12.1-22.1-b1 has conductor ideal $(w+5)$, rank- $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(14261a-24702\right){x}+1229140a-2128935$.- '2':- number: '0.59789702229994567176742167092314897'- comment: LMFDB curve 2.2.12.1-22.1-b2 has conductor ideal $(w+5)$, rank- $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-23694a+41038\right){x}+5992614a-10379514$.- '3':- number: '14.947425557498641794185541773078724'- comment: LMFDB curve 2.2.12.1-22.1-b3 has conductor ideal $(w+5)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(20a-32\right){x}-64a+112$.- '4':- number: '14.947425557498641794185541773078724'- comment: LMFDB curve 2.2.12.1-22.1-b4 has conductor ideal $(w+5)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+3{x}+1$.- '22.2':- a:- '1':- number: '19.486238585294107332133559156819675'- comment: LMFDB curve 2.2.12.1-22.2-a1 has conductor ideal $(w-5)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(1813a-3142\right){x}-55168a+95554$.- '2':- number: '2.1651376205882341480148399063132972'- comment: LMFDB curve 2.2.12.1-22.2-a2 has conductor ideal $(w-5)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-18a-33\right){x}-83a-145$.- '3':- number: '2.1651376205882341480148399063132972'- comment: LMFDB curve 2.2.12.1-22.2-a3 has conductor ideal $(w-5)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(1688a-2922\right){x}-63194a+109458$.- '4':- number: '19.486238585294107332133559156819675'- comment: LMFDB curve 2.2.12.1-22.2-a4 has conductor ideal $(w-5)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(2a+2\right){x}+a+1$.- b:- '1':- number: '0.59789702229994567176742167092314897'- comment: LMFDB curve 2.2.12.1-22.2-b1 has conductor ideal $(w-5)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(1813a-3143\right){x}+55168a-95555$.- '2':- number: '14.947425557498641794185541773078724'- comment: LMFDB curve 2.2.12.1-22.2-b2 has conductor ideal $(w-5)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-20a-32\right){x}+64a+112$.- '3':- number: '0.59789702229994567176742167092314897'- comment: LMFDB curve 2.2.12.1-22.2-b3 has conductor ideal $(w-5)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(1688a-2923\right){x}+63194a-109459$.- '4':- number: '14.947425557498641794185541773078724'- comment: LMFDB curve 2.2.12.1-22.2-b4 has conductor ideal $(w-5)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+3{x}+1$.- '24.1':- a:- '1':- number: '18.602238951643222078128233801763314'- comment: LMFDB curve 2.2.12.1-24.1-a1 has conductor ideal $(2*w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(1035a-1791\right){x}-23450a+40617$.- '2':- number: '2.3252798689554027597660292252204142'- comment: LMFDB curve 2.2.12.1-24.1-a2 has conductor ideal $(2*w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-15a+29\right){x}+322a-557$.- '3':- number: '18.602238951643222078128233801763314'- comment: LMFDB curve 2.2.12.1-24.1-a3 has conductor ideal $(2*w+6)$, rank- $0$, and equation ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-38a+66\right){x}-168a+291$.- '4':- number: '37.204477903286444156256467603526628'- comment: LMFDB curve 2.2.12.1-24.1-a4 has conductor ideal $(2*w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(5a-6\right){x}-3a+6$.- '5':- number: '9.3011194758216110390641169008816571'- comment: LMFDB curve 2.2.12.1-24.1-a5 has conductor ideal $(2*w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(25a-41\right){x}+92a-159$.- '6':- number: '37.204477903286444156256467603526628'- comment: LMFDB curve 2.2.12.1-24.1-a6 has conductor ideal $(2*w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(65a-111\right){x}-348a+603$.- '7':- number: '2.3252798689554027597660292252204142'- comment: LMFDB curve 2.2.12.1-24.1-a7 has conductor ideal $(2*w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(385a-671\right){x}+5582a-9681$.- '8':- number: '18.602238951643222078128233801763314'- comment: LMFDB curve 2.2.12.1-24.1-a8 has conductor ideal $(2*w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(55a-111\right){x}-406a+717$.- b:- '1':- number: '1.4208771293753967252592869069858584'- comment: LMFDB curve 2.2.12.1-24.1-b1 has conductor ideal $(2*w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(1033a-1794\right){x}+24484a-42410$.- '2':- number: '5.6835085175015869010371476279434336'- comment: LMFDB curve 2.2.12.1-24.1-b2 has conductor ideal $(2*w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-17a+26\right){x}-338a+584$.- '3':- number: '11.367017035003173802074295255886867'- comment: LMFDB curve 2.2.12.1-24.1-b3 has conductor ideal $(2*w+6)$, rank- $0$, and equation ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-38a+66\right){x}+168a-291$.- '4':- number: '22.734034070006347604148590511773734'- comment: LMFDB curve 2.2.12.1-24.1-b4 has conductor ideal $(2*w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(3a-9\right){x}+7a-14$.- '5':- number: '22.734034070006347604148590511773734'- comment: LMFDB curve 2.2.12.1-24.1-b5 has conductor ideal $(2*w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(23a-44\right){x}-68a+116$.- '6':- number: '5.6835085175015869010371476279434336'- comment: LMFDB curve 2.2.12.1-24.1-b6 has conductor ideal $(2*w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(63a-114\right){x}+412a-716$.- '7':- number: '22.734034070006347604148590511773734'- comment: LMFDB curve 2.2.12.1-24.1-b7 has conductor ideal $(2*w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(383a-674\right){x}-5198a+9008$.- '8':- number: '1.4208771293753967252592869069858584'- comment: LMFDB curve 2.2.12.1-24.1-b8 has conductor ideal $(2*w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(53a-114\right){x}+460a-830$.- '33.1':- d:- '1':- number: '0.72631039230780105735863478135527898'- comment: LMFDB curve 2.2.12.1-33.1-d1 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(22985a-39809\right){x}+2481167a-4297507$.- '2':- number: '18.157759807695026433965869533881974'- comment: LMFDB curve 2.2.12.1-33.1-d2 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(5a-9\right){x}-6a+10$.- '3':- number: '18.157759807695026433965869533881974'- comment: LMFDB curve 2.2.12.1-33.1-d3 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(16a-29\right){x}-80a+138$.- '4':- number: '0.72631039230780105735863478135527898'- comment: LMFDB curve 2.2.12.1-33.1-d4 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(57890a-100270\right){x}+25396786a-43988524$.- c:- '1':- number: '1.6635259797396065157331062118609955'- comment: LMFDB curve 2.2.12.1-33.1-c1 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-729a+1261\right){x}-20243a+35060$.- '2':- number: '26.616415675833704251729699389775928'- comment: LMFDB curve 2.2.12.1-33.1-c2 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}-{x}^{2}+\left(3362a-5824\right){x}-177111a+306765$.- '3':- number: '26.616415675833704251729699389775928'- comment: LMFDB curve 2.2.12.1-33.1-c3 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(20a-49\right){x}-100a+184$.- '4':- number: '26.616415675833704251729699389775928'- comment: LMFDB curve 2.2.12.1-33.1-c4 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(296a-514\right){x}-3378a+5849$.- '5':- number: '6.6541039189584260629324248474439820'- comment: LMFDB curve 2.2.12.1-33.1-c5 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(316a-549\right){x}-2833a+4905$.- '6':- number: '1.6635259797396065157331062118609955'- comment: LMFDB curve 2.2.12.1-33.1-c6 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(1681a-2919\right){x}+48497a-84006$.- b:- '1':- number: '3.8640640545192230667498627428722255'- comment: LMFDB curve 2.2.12.1-33.1-b1 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-727a+1262\right){x}+19515a-33800$.- '2':- number: '15.456256218076892266999450971488902'- comment: LMFDB curve 2.2.12.1-33.1-b2 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(3362a-5824\right){x}+177111a-306766$.- '3':- number: '3.8640640545192230667498627428722255'- comment: LMFDB curve 2.2.12.1-33.1-b3 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(20a-49\right){x}+100a-184$.- '4':- number: '15.456256218076892266999450971488902'- comment: LMFDB curve 2.2.12.1-33.1-b4 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(298a-513\right){x}+3675a-6364$.- '5':- number: '15.456256218076892266999450971488902'- comment: LMFDB curve 2.2.12.1-33.1-b5 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(318a-548\right){x}+3150a-5455$.- '6':- number: '15.456256218076892266999450971488902'- comment: LMFDB curve 2.2.12.1-33.1-b6 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(1683a-2918\right){x}-46815a+81086$.- a:- '1':- number: '8.7873802796129571680668697254631015'- comment: LMFDB curve 2.2.12.1-33.1-a1 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(22986a-39809\right){x}-2497992a+4326651$.- '2':- number: '8.7873802796129571680668697254631015'- comment: LMFDB curve 2.2.12.1-33.1-a2 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(6a-8\right){x}+12a-19$.- '3':- number: '8.7873802796129571680668697254631015'- comment: LMFDB curve 2.2.12.1-33.1-a3 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(15a-28\right){x}+96a-167$.- '4':- number: '8.7873802796129571680668697254631015'- comment: LMFDB curve 2.2.12.1-33.1-a4 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(57891a-100269\right){x}-25338895a+43888254$.- '33.2':- d:- '1':- number: '18.157759807695026433965869533881974'- comment: LMFDB curve 2.2.12.1-33.2-d1 has conductor ideal $(w-6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(5a-7\right){x}+a-1$.- '2':- number: '0.72631039230780105735863478135527898'- comment: LMFDB curve 2.2.12.1-33.2-d2 has conductor ideal $(w-6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(460939a-798370\right){x}+224206774a-388337524$.- '3':- number: '0.72631039230780105735863478135527898'- comment: LMFDB curve 2.2.12.1-33.2-d3 has conductor ideal $(w-6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(8272a-14332\right){x}+544260a-942688$.- '4':- number: '18.157759807695026433965869533881974'- comment: LMFDB curve 2.2.12.1-33.2-d4 has conductor ideal $(w-6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-6a-9\right){x}+6a+10$.- c:- '1':- number: '26.616415675833704251729699389775928'- comment: LMFDB curve 2.2.12.1-33.2-c1 has conductor ideal $(w-6)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+{x}$.- '2':- number: '1.6635259797396065157331062118609955'- comment: LMFDB curve 2.2.12.1-33.2-c2 has conductor ideal $(w-6)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(25a-29\right){x}+89a-138$.- '3':- number: '6.6541039189584260629324248474439820'- comment: LMFDB curve 2.2.12.1-33.2-c3 has conductor ideal $(w-6)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(20a-39\right){x}+84a-138$.- '4':- number: '1.6635259797396065157331062118609955'- comment: LMFDB curve 2.2.12.1-33.2-c4 has conductor ideal $(w-6)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(335a-609\right){x}+4719a-8214$.- '5':- number: '26.616415675833704251729699389775928'- comment: LMFDB curve 2.2.12.1-33.2-c5 has conductor ideal $(w-6)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}-4{x}+4a+1$.- '6':- number: '26.616415675833704251729699389775928'- comment: LMFDB curve 2.2.12.1-33.2-c6 has conductor ideal $(w-6)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-20a-49\right){x}+100a+184$.- b:- '1':- number: '15.456256218076892266999450971488902'- comment: LMFDB curve 2.2.12.1-33.2-b1 has conductor ideal $(w-6)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+{x}$.- '2':- number: '3.8640640545192230667498627428722255'- comment: LMFDB curve 2.2.12.1-33.2-b2 has conductor ideal $(w-6)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(25a-29\right){x}-89a+138$.- '3':- number: '15.456256218076892266999450971488902'- comment: LMFDB curve 2.2.12.1-33.2-b3 has conductor ideal $(w-6)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(20a-39\right){x}-84a+138$.- '4':- number: '15.456256218076892266999450971488902'- comment: LMFDB curve 2.2.12.1-33.2-b4 has conductor ideal $(w-6)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(335a-609\right){x}-4719a+8214$.- '5':- number: '15.456256218076892266999450971488902'- comment: LMFDB curve 2.2.12.1-33.2-b5 has conductor ideal $(w-6)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}-4{x}-4a-1$.- '6':- number: '3.8640640545192230667498627428722255'- comment: LMFDB curve 2.2.12.1-33.2-b6 has conductor ideal $(w-6)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(-20a-49\right){x}-100a-184$.- a:- '1':- number: '8.7873802796129571680668697254631015'- comment: LMFDB curve 2.2.12.1-33.2-a1 has conductor ideal $(w-6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(6a-5\right){x}-3a+8$.- '2':- number: '8.7873802796129571680668697254631015'- comment: LMFDB curve 2.2.12.1-33.2-a2 has conductor ideal $(w-6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(460938a-798369\right){x}-223745835a+387539154$.- '3':- number: '8.7873802796129571680668697254631015'- comment: LMFDB curve 2.2.12.1-33.2-a3 has conductor ideal $(w-6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+{x}^{2}+\left(8273a-14331\right){x}-535987a+928356$.- '4':- number: '8.7873802796129571680668697254631015'- comment: LMFDB curve 2.2.12.1-33.2-a4 has conductor ideal $(w-6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-7a-8\right){x}-12a-19$.- '36.1':- a:- '1':- number: '5.8983439694847699214114095824183495'- comment: LMFDB curve 2.2.12.1-36.1-a1 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2={x}^{3}-1$.- '2':- number: '17.695031908454309764234228747255048'- comment: LMFDB curve 2.2.12.1-36.1-a2 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2={x}^{3}+1$.- '3':- number: '5.8983439694847699214114095824183495'- comment: LMFDB curve 2.2.12.1-36.1-a3 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(239a-416\right){x}+2458a-4259$.- '4':- number: '17.695031908454309764234228747255048'- comment: LMFDB curve 2.2.12.1-36.1-a4 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(240a-414\right){x}-2874a+4978$.- '5':- number: '11.796687938969539842822819164836699'- comment: LMFDB curve 2.2.12.1-36.1-a5 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(14a-26\right){x}+28a-50$.- '6':- number: '35.390063816908619528468457494510097'- comment: LMFDB curve 2.2.12.1-36.1-a6 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(15a-24\right){x}-54a+94$.- '7':- number: '5.8983439694847699214114095824183495'- comment: LMFDB curve 2.2.12.1-36.1-a7 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(29a-56\right){x}-92a+151$.- '8':- number: '17.695031908454309764234228747255048'- comment: LMFDB curve 2.2.12.1-36.1-a8 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(30a-54\right){x}+36a-62$.- '47.1':- b:- '1':- number: '39.613384721248614874737050673090411'- comment: LMFDB curve 2.2.12.1-47.1-b1 has conductor ideal $(-4*w-1)$, rank- $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(a-1\right){x}$.- '2':- number: '39.613384721248614874737050673090411'- comment: LMFDB curve 2.2.12.1-47.1-b2 has conductor ideal $(-4*w-1)$, rank- $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(6a-11\right){x}-14a+24$.- a:- '1':- number: '19.401865748686940384899004026121007'- comment: LMFDB curve 2.2.12.1-47.1-a1 has conductor ideal $(-4*w-1)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(a-2\right){x}-1$.- '2':- number: '9.7009328743434701924495020130605035'- comment: LMFDB curve 2.2.12.1-47.1-a2 has conductor ideal $(-4*w-1)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(6a-12\right){x}+14a-25$.- '47.2':- b:- '1':- number: '39.613384721248614874737050673090411'- comment: LMFDB curve 2.2.12.1-47.2-b1 has conductor ideal $(4*w-1)$, rank- $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-a-1\right){x}$.- '2':- number: '39.613384721248614874737050673090411'- comment: LMFDB curve 2.2.12.1-47.2-b2 has conductor ideal $(4*w-1)$, rank- $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-6a-11\right){x}+14a+24$.- a:- '1':- number: '19.401865748686940384899004026121007'- comment: LMFDB curve 2.2.12.1-47.2-a1 has conductor ideal $(4*w-1)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-a-2\right){x}-1$.- '2':- number: '9.7009328743434701924495020130605035'- comment: LMFDB curve 2.2.12.1-47.2-a2 has conductor ideal $(4*w-1)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-6a-12\right){x}-14a-25$.- '52.1':- b:- '1':- number: '14.689428095327737600977392493965809'- comment: LMFDB curve 2.2.12.1-52.1-b1 has conductor ideal $(2*w+8)$, rank- $0$, and equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+2{x}+2a-3$.- '2':- number: '1.6321586772586375112197102771073121'- comment: LMFDB curve 2.2.12.1-52.1-b2 has conductor ideal $(2*w+8)$, rank- $0$, and equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(60a-98\right){x}+306a-527$.- '3':- number: '3.2643173545172750224394205542146243'- comment: LMFDB curve 2.2.12.1-52.1-b3 has conductor ideal $(2*w+8)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(2a-54\right){x}+9a-124$.- '4':- number: '29.378856190655475201954784987931619'- comment: LMFDB curve 2.2.12.1-52.1-b4 has conductor ideal $(2*w+8)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-8a-14\right){x}+7a+12$.- a:- '1':- number: '8.3013083378748083425185386129272596'- comment: LMFDB curve 2.2.12.1-52.1-a1 has conductor ideal $(2*w+8)$, rank- $0$, and equation ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+2{x}-2a+3$.- '2':- number: '8.3013083378748083425185386129272596'- comment: LMFDB curve 2.2.12.1-52.1-a2 has conductor ideal $(2*w+8)$, rank- $0$, and equation ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(60a-98\right){x}-306a+527$.- '3':- number: '16.602616675749616685037077225854519'- comment: LMFDB curve 2.2.12.1-52.1-a3 has conductor ideal $(2*w+8)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(3a-53\right){x}-61a+76$.- '4':- number: '16.602616675749616685037077225854519'- comment: LMFDB curve 2.2.12.1-52.1-a4 has conductor ideal $(2*w+8)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-7a-13\right){x}-29a-50$.- '52.2':- b:- '1':- number: '1.6321586772586375112197102771073121'- comment: LMFDB curve 2.2.12.1-52.2-b1 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-192a+334\right){x}+730a-1265$.- '2':- number: '14.689428095327737600977392493965809'- comment: LMFDB curve 2.2.12.1-52.2-b2 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(28a-46\right){x}-126a+219$.- '3':- number: '29.378856190655475201954784987931619'- comment: LMFDB curve 2.2.12.1-52.2-b3 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(9a-12\right){x}-21a+37$.- '4':- number: '3.2643173545172750224394205542146243'- comment: LMFDB curve 2.2.12.1-52.2-b4 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-a-52\right){x}-63a-129$.- a:- '1':- number: '8.3013083378748083425185386129272596'- comment: LMFDB curve 2.2.12.1-52.2-a1 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-192a+334\right){x}-730a+1265$.- '2':- number: '8.3013083378748083425185386129272596'- comment: LMFDB curve 2.2.12.1-52.2-a2 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(28a-46\right){x}+126a-219$.- '3':- number: '16.602616675749616685037077225854519'- comment: LMFDB curve 2.2.12.1-52.2-a3 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(10a-11\right){x}+16a-25$.- '4':- number: '16.602616675749616685037077225854519'- comment: LMFDB curve 2.2.12.1-52.2-a4 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a+1\right){x}^{2}-51{x}+8a+71$.- '54.1':- c:- '1':- number: '22.577295667420039317428304549363791'- comment: LMFDB curve 2.2.12.1-54.1-c1 has conductor ideal $(3*w+9)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(22a-41\right){x}-218a+377$.- '2':- number: '22.577295667420039317428304549363791'- comment: LMFDB curve 2.2.12.1-54.1-c2 has conductor ideal $(3*w+9)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-3a+4\right){x}+7a-14$.- '3':- number: '2.5085884074911154797142560610404213'- comment: LMFDB curve 2.2.12.1-54.1-c3 has conductor ideal $(3*w+9)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(127a-221\right){x}+1000a-1734$.- a:- '1':- number: '2.5085884074911154797142560610404213'- comment: LMFDB curve 2.2.12.1-54.1-a1 has conductor ideal $(3*w+9)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-128a-221\right){x}-1001a-1734$.- '2':- number: '22.577295667420039317428304549363791'- comment: LMFDB curve 2.2.12.1-54.1-a2 has conductor ideal $(3*w+9)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-23a-41\right){x}+217a+377$.- '3':- number: '22.577295667420039317428304549363791'- comment: LMFDB curve 2.2.12.1-54.1-a3 has conductor ideal $(3*w+9)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(2a+4\right){x}-8a-14$.- d:- '1':- number: '13.753032318687600866165797696421233'- comment: LMFDB curve 2.2.12.1-54.1-d1 has conductor ideal $(3*w+9)$, rank- $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-128a-222\right){x}+1000a+1732$.- '2':- number: '1.5281147020764000962406441884912481'- comment: LMFDB curve 2.2.12.1-54.1-d2 has conductor ideal $(3*w+9)$, rank- $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-23a-42\right){x}-218a-379$.- '3':- number: '13.753032318687600866165797696421233'- comment: LMFDB curve 2.2.12.1-54.1-d3 has conductor ideal $(3*w+9)$, rank- $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(2a+3\right){x}+7a+12$.- b:- '1':- number: '1.5281147020764000962406441884912481'- comment: LMFDB curve 2.2.12.1-54.1-b1 has conductor ideal $(3*w+9)$, rank- $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(22a-42\right){x}+217a-379$.- '2':- number: '13.753032318687600866165797696421233'- comment: LMFDB curve 2.2.12.1-54.1-b2 has conductor ideal $(3*w+9)$, rank- $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-3a+3\right){x}-8a+12$.- '3':- number: '13.753032318687600866165797696421233'- comment: LMFDB curve 2.2.12.1-54.1-b3 has conductor ideal $(3*w+9)$, rank- $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(127a-222\right){x}-1001a+1732$.+ 9.1-a1:+ number: '3.2834968692197041385283077299089865'+ comment: LMFDB curve 2.2.12.1-9.1-a1 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(25a-45\right){x}+72a-127$.+ 9.1-a2:+ number: '29.551471822977337246754769569180878'+ comment: LMFDB curve 2.2.12.1-9.1-a2 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(25a-45\right){x}-117a+202$.+ 9.1-a3:+ number: '29.551471822977337246754769569180878'+ comment: LMFDB curve 2.2.12.1-9.1-a3 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}$.+ 9.1-a4:+ number: '29.551471822977337246754769569180878'+ comment: LMFDB curve 2.2.12.1-9.1-a4 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-7a+13\right){x}+6a-10$.+ 9.1-a5:+ number: '3.2834968692197041385283077299089865'+ comment: LMFDB curve 2.2.12.1-9.1-a5 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(88a-152\right){x}+564a-977$.+ 9.1-a6:+ number: '29.551471822977337246754769569180878'+ comment: LMFDB curve 2.2.12.1-9.1-a6 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(88a-152\right){x}-717a+1242$.+ 16.1-a1:+ number: '17.695031908454309764234228747255048'+ comment: LMFDB curve 2.2.12.1-16.1-a1 has conductor ideal $(4)$, rank $0$, and+ equation ${y}^2={x}^{3}-a{x}^{2}+{x}-3a-5$.+ 16.1-a2:+ number: '17.695031908454309764234228747255048'+ comment: LMFDB curve 2.2.12.1-16.1-a2 has conductor ideal $(4)$, rank $0$, and+ equation ${y}^2={x}^{3}+a{x}^{2}+{x}+3a+5$.+ 16.1-a3:+ number: '8.8475159542271548821171143736275243'+ comment: LMFDB curve 2.2.12.1-16.1-a3 has conductor ideal $(4)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(4a-13\right){x}+11a-21$.+ 16.1-a4:+ number: '35.390063816908619528468457494510097'+ comment: LMFDB curve 2.2.12.1-16.1-a4 has conductor ideal $(4)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(4a-13\right){x}-12a+19$.+ 16.1-a5:+ number: '35.390063816908619528468457494510097'+ comment: LMFDB curve 2.2.12.1-16.1-a5 has conductor ideal $(4)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-a-3\right){x}-1$.+ 16.1-a6:+ number: '35.390063816908619528468457494510097'+ comment: LMFDB curve 2.2.12.1-16.1-a6 has conductor ideal $(4)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-a-3\right){x}-a-1$.+ 16.1-a7:+ number: '8.8475159542271548821171143736275243'+ comment: LMFDB curve 2.2.12.1-16.1-a7 has conductor ideal $(4)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-6a-13\right){x}-12a-21$.+ 16.1-a8:+ number: '35.390063816908619528468457494510097'+ comment: LMFDB curve 2.2.12.1-16.1-a8 has conductor ideal $(4)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-6a-13\right){x}+11a+19$.+ 22.1-a1:+ number: '19.486238585294107332133559156819675'+ comment: LMFDB curve 2.2.12.1-22.1-a1 has conductor ideal $(w+5)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(14261a-24701\right){x}-1229141a+2128933$.+ 22.1-a2:+ number: '2.1651376205882341480148399063132972'+ comment: LMFDB curve 2.2.12.1-22.1-a2 has conductor ideal $(w+5)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-23694a+41039\right){x}-5992615a+10379512$.+ 22.1-a3:+ number: '2.1651376205882341480148399063132972'+ comment: LMFDB curve 2.2.12.1-22.1-a3 has conductor ideal $(w+5)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(18a-33\right){x}+83a-145$.+ 22.1-a4:+ number: '19.486238585294107332133559156819675'+ comment: LMFDB curve 2.2.12.1-22.1-a4 has conductor ideal $(w+5)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2a+2\right){x}-a+1$.+ 22.1-b1:+ number: '0.59789702229994567176742167092314897'+ comment: LMFDB curve 2.2.12.1-22.1-b1 has conductor ideal $(w+5)$, rank $0$,+ and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(14261a-24702\right){x}+1229140a-2128935$.+ 22.1-b2:+ number: '0.59789702229994567176742167092314897'+ comment: LMFDB curve 2.2.12.1-22.1-b2 has conductor ideal $(w+5)$, rank $0$,+ and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-23694a+41038\right){x}+5992614a-10379514$.+ 22.1-b3:+ number: '14.947425557498641794185541773078724'+ comment: LMFDB curve 2.2.12.1-22.1-b3 has conductor ideal $(w+5)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(20a-32\right){x}-64a+112$.+ 22.1-b4:+ number: '14.947425557498641794185541773078724'+ comment: LMFDB curve 2.2.12.1-22.1-b4 has conductor ideal $(w+5)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+3{x}+1$.+ 22.2-a1:+ number: '19.486238585294107332133559156819675'+ comment: LMFDB curve 2.2.12.1-22.2-a1 has conductor ideal $(w-5)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(1813a-3142\right){x}-55168a+95554$.+ 22.2-a2:+ number: '2.1651376205882341480148399063132972'+ comment: LMFDB curve 2.2.12.1-22.2-a2 has conductor ideal $(w-5)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-18a-33\right){x}-83a-145$.+ 22.2-a3:+ number: '2.1651376205882341480148399063132972'+ comment: LMFDB curve 2.2.12.1-22.2-a3 has conductor ideal $(w-5)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(1688a-2922\right){x}-63194a+109458$.+ 22.2-a4:+ number: '19.486238585294107332133559156819675'+ comment: LMFDB curve 2.2.12.1-22.2-a4 has conductor ideal $(w-5)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(2a+2\right){x}+a+1$.+ 22.2-b1:+ number: '0.59789702229994567176742167092314897'+ comment: LMFDB curve 2.2.12.1-22.2-b1 has conductor ideal $(w-5)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(1813a-3143\right){x}+55168a-95555$.+ 22.2-b2:+ number: '14.947425557498641794185541773078724'+ comment: LMFDB curve 2.2.12.1-22.2-b2 has conductor ideal $(w-5)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-20a-32\right){x}+64a+112$.+ 22.2-b3:+ number: '0.59789702229994567176742167092314897'+ comment: LMFDB curve 2.2.12.1-22.2-b3 has conductor ideal $(w-5)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(1688a-2923\right){x}+63194a-109459$.+ 22.2-b4:+ number: '14.947425557498641794185541773078724'+ comment: LMFDB curve 2.2.12.1-22.2-b4 has conductor ideal $(w-5)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+3{x}+1$.+ 24.1-a1:+ number: '18.602238951643222078128233801763314'+ comment: LMFDB curve 2.2.12.1-24.1-a1 has conductor ideal $(2*w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(1035a-1791\right){x}-23450a+40617$.+ 24.1-a2:+ number: '2.3252798689554027597660292252204142'+ comment: LMFDB curve 2.2.12.1-24.1-a2 has conductor ideal $(2*w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-15a+29\right){x}+322a-557$.+ 24.1-a3:+ number: '18.602238951643222078128233801763314'+ comment: LMFDB curve 2.2.12.1-24.1-a3 has conductor ideal $(2*w+6)$, rank $0$,+ and equation ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-38a+66\right){x}-168a+291$.+ 24.1-a4:+ number: '37.204477903286444156256467603526628'+ comment: LMFDB curve 2.2.12.1-24.1-a4 has conductor ideal $(2*w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(5a-6\right){x}-3a+6$.+ 24.1-a5:+ number: '9.3011194758216110390641169008816571'+ comment: LMFDB curve 2.2.12.1-24.1-a5 has conductor ideal $(2*w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(25a-41\right){x}+92a-159$.+ 24.1-a6:+ number: '37.204477903286444156256467603526628'+ comment: LMFDB curve 2.2.12.1-24.1-a6 has conductor ideal $(2*w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(65a-111\right){x}-348a+603$.+ 24.1-a7:+ number: '2.3252798689554027597660292252204142'+ comment: LMFDB curve 2.2.12.1-24.1-a7 has conductor ideal $(2*w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(385a-671\right){x}+5582a-9681$.+ 24.1-a8:+ number: '18.602238951643222078128233801763314'+ comment: LMFDB curve 2.2.12.1-24.1-a8 has conductor ideal $(2*w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(55a-111\right){x}-406a+717$.+ 24.1-b1:+ number: '1.4208771293753967252592869069858584'+ comment: LMFDB curve 2.2.12.1-24.1-b1 has conductor ideal $(2*w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(1033a-1794\right){x}+24484a-42410$.+ 24.1-b2:+ number: '5.6835085175015869010371476279434336'+ comment: LMFDB curve 2.2.12.1-24.1-b2 has conductor ideal $(2*w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-17a+26\right){x}-338a+584$.+ 24.1-b3:+ number: '11.367017035003173802074295255886867'+ comment: LMFDB curve 2.2.12.1-24.1-b3 has conductor ideal $(2*w+6)$, rank $0$,+ and equation ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-38a+66\right){x}+168a-291$.+ 24.1-b4:+ number: '22.734034070006347604148590511773734'+ comment: LMFDB curve 2.2.12.1-24.1-b4 has conductor ideal $(2*w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(3a-9\right){x}+7a-14$.+ 24.1-b5:+ number: '22.734034070006347604148590511773734'+ comment: LMFDB curve 2.2.12.1-24.1-b5 has conductor ideal $(2*w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(23a-44\right){x}-68a+116$.+ 24.1-b6:+ number: '5.6835085175015869010371476279434336'+ comment: LMFDB curve 2.2.12.1-24.1-b6 has conductor ideal $(2*w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(63a-114\right){x}+412a-716$.+ 24.1-b7:+ number: '22.734034070006347604148590511773734'+ comment: LMFDB curve 2.2.12.1-24.1-b7 has conductor ideal $(2*w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(383a-674\right){x}-5198a+9008$.+ 24.1-b8:+ number: '1.4208771293753967252592869069858584'+ comment: LMFDB curve 2.2.12.1-24.1-b8 has conductor ideal $(2*w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(53a-114\right){x}+460a-830$.+ 33.1-d1:+ number: '0.72631039230780105735863478135527898'+ comment: LMFDB curve 2.2.12.1-33.1-d1 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(22985a-39809\right){x}+2481167a-4297507$.+ 33.1-d2:+ number: '18.157759807695026433965869533881974'+ comment: LMFDB curve 2.2.12.1-33.1-d2 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(5a-9\right){x}-6a+10$.+ 33.1-d3:+ number: '18.157759807695026433965869533881974'+ comment: LMFDB curve 2.2.12.1-33.1-d3 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(16a-29\right){x}-80a+138$.+ 33.1-d4:+ number: '0.72631039230780105735863478135527898'+ comment: LMFDB curve 2.2.12.1-33.1-d4 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(57890a-100270\right){x}+25396786a-43988524$.+ 33.1-c1:+ number: '1.6635259797396065157331062118609955'+ comment: LMFDB curve 2.2.12.1-33.1-c1 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-729a+1261\right){x}-20243a+35060$.+ 33.1-c2:+ number: '26.616415675833704251729699389775928'+ comment: LMFDB curve 2.2.12.1-33.1-c2 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+a{x}{y}+{y}={x}^{3}-{x}^{2}+\left(3362a-5824\right){x}-177111a+306765$.+ 33.1-c3:+ number: '26.616415675833704251729699389775928'+ comment: LMFDB curve 2.2.12.1-33.1-c3 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(20a-49\right){x}-100a+184$.+ 33.1-c4:+ number: '26.616415675833704251729699389775928'+ comment: LMFDB curve 2.2.12.1-33.1-c4 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(296a-514\right){x}-3378a+5849$.+ 33.1-c5:+ number: '6.6541039189584260629324248474439820'+ comment: LMFDB curve 2.2.12.1-33.1-c5 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(316a-549\right){x}-2833a+4905$.+ 33.1-c6:+ number: '1.6635259797396065157331062118609955'+ comment: LMFDB curve 2.2.12.1-33.1-c6 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(1681a-2919\right){x}+48497a-84006$.+ 33.1-b1:+ number: '3.8640640545192230667498627428722255'+ comment: LMFDB curve 2.2.12.1-33.1-b1 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-727a+1262\right){x}+19515a-33800$.+ 33.1-b2:+ number: '15.456256218076892266999450971488902'+ comment: LMFDB curve 2.2.12.1-33.1-b2 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(3362a-5824\right){x}+177111a-306766$.+ 33.1-b3:+ number: '3.8640640545192230667498627428722255'+ comment: LMFDB curve 2.2.12.1-33.1-b3 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(20a-49\right){x}+100a-184$.+ 33.1-b4:+ number: '15.456256218076892266999450971488902'+ comment: LMFDB curve 2.2.12.1-33.1-b4 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(298a-513\right){x}+3675a-6364$.+ 33.1-b5:+ number: '15.456256218076892266999450971488902'+ comment: LMFDB curve 2.2.12.1-33.1-b5 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(318a-548\right){x}+3150a-5455$.+ 33.1-b6:+ number: '15.456256218076892266999450971488902'+ comment: LMFDB curve 2.2.12.1-33.1-b6 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(1683a-2918\right){x}-46815a+81086$.+ 33.1-a1:+ number: '8.7873802796129571680668697254631015'+ comment: LMFDB curve 2.2.12.1-33.1-a1 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(22986a-39809\right){x}-2497992a+4326651$.+ 33.1-a2:+ number: '8.7873802796129571680668697254631015'+ comment: LMFDB curve 2.2.12.1-33.1-a2 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(6a-8\right){x}+12a-19$.+ 33.1-a3:+ number: '8.7873802796129571680668697254631015'+ comment: LMFDB curve 2.2.12.1-33.1-a3 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(15a-28\right){x}+96a-167$.+ 33.1-a4:+ number: '8.7873802796129571680668697254631015'+ comment: LMFDB curve 2.2.12.1-33.1-a4 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(57891a-100269\right){x}-25338895a+43888254$.+ 33.2-d1:+ number: '18.157759807695026433965869533881974'+ comment: LMFDB curve 2.2.12.1-33.2-d1 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(5a-7\right){x}+a-1$.+ 33.2-d2:+ number: '0.72631039230780105735863478135527898'+ comment: LMFDB curve 2.2.12.1-33.2-d2 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(460939a-798370\right){x}+224206774a-388337524$.+ 33.2-d3:+ number: '0.72631039230780105735863478135527898'+ comment: LMFDB curve 2.2.12.1-33.2-d3 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(8272a-14332\right){x}+544260a-942688$.+ 33.2-d4:+ number: '18.157759807695026433965869533881974'+ comment: LMFDB curve 2.2.12.1-33.2-d4 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-6a-9\right){x}+6a+10$.+ 33.2-c1:+ number: '26.616415675833704251729699389775928'+ comment: LMFDB curve 2.2.12.1-33.2-c1 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+{x}$.+ 33.2-c2:+ number: '1.6635259797396065157331062118609955'+ comment: LMFDB curve 2.2.12.1-33.2-c2 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(25a-29\right){x}+89a-138$.+ 33.2-c3:+ number: '6.6541039189584260629324248474439820'+ comment: LMFDB curve 2.2.12.1-33.2-c3 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(20a-39\right){x}+84a-138$.+ 33.2-c4:+ number: '1.6635259797396065157331062118609955'+ comment: LMFDB curve 2.2.12.1-33.2-c4 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(335a-609\right){x}+4719a-8214$.+ 33.2-c5:+ number: '26.616415675833704251729699389775928'+ comment: LMFDB curve 2.2.12.1-33.2-c5 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}-4{x}+4a+1$.+ 33.2-c6:+ number: '26.616415675833704251729699389775928'+ comment: LMFDB curve 2.2.12.1-33.2-c6 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-20a-49\right){x}+100a+184$.+ 33.2-b1:+ number: '15.456256218076892266999450971488902'+ comment: LMFDB curve 2.2.12.1-33.2-b1 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+{x}$.+ 33.2-b2:+ number: '3.8640640545192230667498627428722255'+ comment: LMFDB curve 2.2.12.1-33.2-b2 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(25a-29\right){x}-89a+138$.+ 33.2-b3:+ number: '15.456256218076892266999450971488902'+ comment: LMFDB curve 2.2.12.1-33.2-b3 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(20a-39\right){x}-84a+138$.+ 33.2-b4:+ number: '15.456256218076892266999450971488902'+ comment: LMFDB curve 2.2.12.1-33.2-b4 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(335a-609\right){x}-4719a+8214$.+ 33.2-b5:+ number: '15.456256218076892266999450971488902'+ comment: LMFDB curve 2.2.12.1-33.2-b5 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}-4{x}-4a-1$.+ 33.2-b6:+ number: '3.8640640545192230667498627428722255'+ comment: LMFDB curve 2.2.12.1-33.2-b6 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(-20a-49\right){x}-100a-184$.+ 33.2-a1:+ number: '8.7873802796129571680668697254631015'+ comment: LMFDB curve 2.2.12.1-33.2-a1 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(6a-5\right){x}-3a+8$.+ 33.2-a2:+ number: '8.7873802796129571680668697254631015'+ comment: LMFDB curve 2.2.12.1-33.2-a2 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(460938a-798369\right){x}-223745835a+387539154$.+ 33.2-a3:+ number: '8.7873802796129571680668697254631015'+ comment: LMFDB curve 2.2.12.1-33.2-a3 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+{x}^{2}+\left(8273a-14331\right){x}-535987a+928356$.+ 33.2-a4:+ number: '8.7873802796129571680668697254631015'+ comment: LMFDB curve 2.2.12.1-33.2-a4 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-7a-8\right){x}-12a-19$.+ 36.1-a1:+ number: '5.8983439694847699214114095824183495'+ comment: LMFDB curve 2.2.12.1-36.1-a1 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2={x}^{3}-1$.+ 36.1-a2:+ number: '17.695031908454309764234228747255048'+ comment: LMFDB curve 2.2.12.1-36.1-a2 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2={x}^{3}+1$.+ 36.1-a3:+ number: '5.8983439694847699214114095824183495'+ comment: LMFDB curve 2.2.12.1-36.1-a3 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(239a-416\right){x}+2458a-4259$.+ 36.1-a4:+ number: '17.695031908454309764234228747255048'+ comment: LMFDB curve 2.2.12.1-36.1-a4 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(240a-414\right){x}-2874a+4978$.+ 36.1-a5:+ number: '11.796687938969539842822819164836699'+ comment: LMFDB curve 2.2.12.1-36.1-a5 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(14a-26\right){x}+28a-50$.+ 36.1-a6:+ number: '35.390063816908619528468457494510097'+ comment: LMFDB curve 2.2.12.1-36.1-a6 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(15a-24\right){x}-54a+94$.+ 36.1-a7:+ number: '5.8983439694847699214114095824183495'+ comment: LMFDB curve 2.2.12.1-36.1-a7 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(29a-56\right){x}-92a+151$.+ 36.1-a8:+ number: '17.695031908454309764234228747255048'+ comment: LMFDB curve 2.2.12.1-36.1-a8 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(30a-54\right){x}+36a-62$.+ 47.1-b1:+ number: '39.613384721248614874737050673090411'+ comment: LMFDB curve 2.2.12.1-47.1-b1 has conductor ideal $(-4*w-1)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(a-1\right){x}$.+ 47.1-b2:+ number: '39.613384721248614874737050673090411'+ comment: LMFDB curve 2.2.12.1-47.1-b2 has conductor ideal $(-4*w-1)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(6a-11\right){x}-14a+24$.+ 47.1-a1:+ number: '19.401865748686940384899004026121007'+ comment: LMFDB curve 2.2.12.1-47.1-a1 has conductor ideal $(-4*w-1)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(a-2\right){x}-1$.+ 47.1-a2:+ number: '9.7009328743434701924495020130605035'+ comment: LMFDB curve 2.2.12.1-47.1-a2 has conductor ideal $(-4*w-1)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(6a-12\right){x}+14a-25$.+ 47.2-b1:+ number: '39.613384721248614874737050673090411'+ comment: LMFDB curve 2.2.12.1-47.2-b1 has conductor ideal $(4*w-1)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-a-1\right){x}$.+ 47.2-b2:+ number: '39.613384721248614874737050673090411'+ comment: LMFDB curve 2.2.12.1-47.2-b2 has conductor ideal $(4*w-1)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-6a-11\right){x}+14a+24$.+ 47.2-a1:+ number: '19.401865748686940384899004026121007'+ comment: LMFDB curve 2.2.12.1-47.2-a1 has conductor ideal $(4*w-1)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-a-2\right){x}-1$.+ 47.2-a2:+ number: '9.7009328743434701924495020130605035'+ comment: LMFDB curve 2.2.12.1-47.2-a2 has conductor ideal $(4*w-1)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-6a-12\right){x}-14a-25$.+ 52.1-b1:+ number: '14.689428095327737600977392493965809'+ comment: LMFDB curve 2.2.12.1-52.1-b1 has conductor ideal $(2*w+8)$, rank $0$,+ and equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+2{x}+2a-3$.+ 52.1-b2:+ number: '1.6321586772586375112197102771073121'+ comment: LMFDB curve 2.2.12.1-52.1-b2 has conductor ideal $(2*w+8)$, rank $0$,+ and equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(60a-98\right){x}+306a-527$.+ 52.1-b3:+ number: '3.2643173545172750224394205542146243'+ comment: LMFDB curve 2.2.12.1-52.1-b3 has conductor ideal $(2*w+8)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(2a-54\right){x}+9a-124$.+ 52.1-b4:+ number: '29.378856190655475201954784987931619'+ comment: LMFDB curve 2.2.12.1-52.1-b4 has conductor ideal $(2*w+8)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-8a-14\right){x}+7a+12$.+ 52.1-a1:+ number: '8.3013083378748083425185386129272596'+ comment: LMFDB curve 2.2.12.1-52.1-a1 has conductor ideal $(2*w+8)$, rank $0$,+ and equation ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+2{x}-2a+3$.+ 52.1-a2:+ number: '8.3013083378748083425185386129272596'+ comment: LMFDB curve 2.2.12.1-52.1-a2 has conductor ideal $(2*w+8)$, rank $0$,+ and equation ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(60a-98\right){x}-306a+527$.+ 52.1-a3:+ number: '16.602616675749616685037077225854519'+ comment: LMFDB curve 2.2.12.1-52.1-a3 has conductor ideal $(2*w+8)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(3a-53\right){x}-61a+76$.+ 52.1-a4:+ number: '16.602616675749616685037077225854519'+ comment: LMFDB curve 2.2.12.1-52.1-a4 has conductor ideal $(2*w+8)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-7a-13\right){x}-29a-50$.+ 52.2-b1:+ number: '1.6321586772586375112197102771073121'+ comment: LMFDB curve 2.2.12.1-52.2-b1 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-192a+334\right){x}+730a-1265$.+ 52.2-b2:+ number: '14.689428095327737600977392493965809'+ comment: LMFDB curve 2.2.12.1-52.2-b2 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(28a-46\right){x}-126a+219$.+ 52.2-b3:+ number: '29.378856190655475201954784987931619'+ comment: LMFDB curve 2.2.12.1-52.2-b3 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(9a-12\right){x}-21a+37$.+ 52.2-b4:+ number: '3.2643173545172750224394205542146243'+ comment: LMFDB curve 2.2.12.1-52.2-b4 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-a-52\right){x}-63a-129$.+ 52.2-a1:+ number: '8.3013083378748083425185386129272596'+ comment: LMFDB curve 2.2.12.1-52.2-a1 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-192a+334\right){x}-730a+1265$.+ 52.2-a2:+ number: '8.3013083378748083425185386129272596'+ comment: LMFDB curve 2.2.12.1-52.2-a2 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(28a-46\right){x}+126a-219$.+ 52.2-a3:+ number: '16.602616675749616685037077225854519'+ comment: LMFDB curve 2.2.12.1-52.2-a3 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(10a-11\right){x}+16a-25$.+ 52.2-a4:+ number: '16.602616675749616685037077225854519'+ comment: LMFDB curve 2.2.12.1-52.2-a4 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a+1\right){x}^{2}-51{x}+8a+71$.+ 54.1-c1:+ number: '22.577295667420039317428304549363791'+ comment: LMFDB curve 2.2.12.1-54.1-c1 has conductor ideal $(3*w+9)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(22a-41\right){x}-218a+377$.+ 54.1-c2:+ number: '22.577295667420039317428304549363791'+ comment: LMFDB curve 2.2.12.1-54.1-c2 has conductor ideal $(3*w+9)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-3a+4\right){x}+7a-14$.+ 54.1-c3:+ number: '2.5085884074911154797142560610404213'+ comment: LMFDB curve 2.2.12.1-54.1-c3 has conductor ideal $(3*w+9)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(127a-221\right){x}+1000a-1734$.+ 54.1-a1:+ number: '2.5085884074911154797142560610404213'+ comment: LMFDB curve 2.2.12.1-54.1-a1 has conductor ideal $(3*w+9)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-128a-221\right){x}-1001a-1734$.+ 54.1-a2:+ number: '22.577295667420039317428304549363791'+ comment: LMFDB curve 2.2.12.1-54.1-a2 has conductor ideal $(3*w+9)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-23a-41\right){x}+217a+377$.+ 54.1-a3:+ number: '22.577295667420039317428304549363791'+ comment: LMFDB curve 2.2.12.1-54.1-a3 has conductor ideal $(3*w+9)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(2a+4\right){x}-8a-14$.+ 54.1-d1:+ number: '13.753032318687600866165797696421233'+ comment: LMFDB curve 2.2.12.1-54.1-d1 has conductor ideal $(3*w+9)$, rank $0$,+ and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-128a-222\right){x}+1000a+1732$.+ 54.1-d2:+ number: '1.5281147020764000962406441884912481'+ comment: LMFDB curve 2.2.12.1-54.1-d2 has conductor ideal $(3*w+9)$, rank $0$,+ and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-23a-42\right){x}-218a-379$.+ 54.1-d3:+ number: '13.753032318687600866165797696421233'+ comment: LMFDB curve 2.2.12.1-54.1-d3 has conductor ideal $(3*w+9)$, rank $0$,+ and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(2a+3\right){x}+7a+12$.+ 54.1-b1:+ number: '1.5281147020764000962406441884912481'+ comment: LMFDB curve 2.2.12.1-54.1-b1 has conductor ideal $(3*w+9)$, rank $0$,+ and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(22a-42\right){x}+217a-379$.+ 54.1-b2:+ number: '13.753032318687600866165797696421233'+ comment: LMFDB curve 2.2.12.1-54.1-b2 has conductor ideal $(3*w+9)$, rank $0$,+ and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-3a+3\right){x}-8a+12$.+ 54.1-b3:+ number: '13.753032318687600866165797696421233'+ comment: LMFDB curve 2.2.12.1-54.1-b3 has conductor ideal $(3*w+9)$, rank $0$,+ and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(127a-222\right){x}-1001a+1732$. '13':- '4.1':- a:- '1':- number: '1.1422605397837213349060975037183867'- comment: LMFDB curve 2.2.13.1-4.1-a1 has conductor ideal $(2)$, rank $0$,- and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-29a+2\right){x}-52a-106$.- '2':- number: '28.556513494593033372652437592959668'- comment: LMFDB curve 2.2.13.1-4.1-a2 has conductor ideal $(2)$, rank $0$,- and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-2a-2\right){x}$.- '3':- number: '1.1422605397837213349060975037183867'- comment: LMFDB curve 2.2.13.1-4.1-a3 has conductor ideal $(2)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(75a-172\right){x}+507a-1170$.- '4':- number: '28.556513494593033372652437592959668'- comment: LMFDB curve 2.2.13.1-4.1-a4 has conductor ideal $(2)$, rank $0$,- and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(a-3\right){x}-a+1$.- '5':- number: '28.556513494593033372652437592959668'- comment: LMFDB curve 2.2.13.1-4.1-a5 has conductor ideal $(2)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+3{x}-a+4$.- '6':- number: '1.1422605397837213349060975037183867'- comment: LMFDB curve 2.2.13.1-4.1-a6 has conductor ideal $(2)$, rank $0$,- and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(28a-27\right){x}+51a-158$.- '9.1':- a:- '1':- number: '27.399505315356176847653137340330127'- comment: LMFDB curve 2.2.13.1-9.1-a1 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+{x}$.- '2':- number: '1.7124690822097610529783210837706329'- comment: LMFDB curve 2.2.13.1-9.1-a2 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-5a-40\right){x}-56a-157$.- '3':- number: '1.7124690822097610529783210837706329'- comment: LMFDB curve 2.2.13.1-9.1-a3 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(265a-594\right){x}+3141a-7218$.- '4':- number: '27.399505315356176847653137340330127'- comment: LMFDB curve 2.2.13.1-9.1-a4 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}$.- '5':- number: '27.399505315356176847653137340330127'- comment: LMFDB curve 2.2.13.1-9.1-a5 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}-5{x}-3a-1$.- '6':- number: '6.8498763288390442119132843350825317'- comment: LMFDB curve 2.2.13.1-9.1-a6 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(15a-39\right){x}+54a-117$.- '7':- number: '1.7124690822097610529783210837706329'- comment: LMFDB curve 2.2.13.1-9.1-a7 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(5a-44\right){x}+51a-168$.- '8':- number: '27.399505315356176847653137340330127'- comment: LMFDB curve 2.2.13.1-9.1-a8 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(15a-65\right){x}-69a+182$.- '9':- number: '6.8498763288390442119132843350825317'- comment: LMFDB curve 2.2.13.1-9.1-a9 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-15a-25\right){x}-69a-88$.- '10':- number: '27.399505315356176847653137340330127'- comment: LMFDB curve 2.2.13.1-9.1-a10 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}-4{x}+3a+1$.- '11':- number: '1.7124690822097610529783210837706329'- comment: LMFDB curve 2.2.13.1-9.1-a11 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-265a-330\right){x}-3406a-4407$.- '12':- number: '27.399505315356176847653137340330127'- comment: LMFDB curve 2.2.13.1-9.1-a12 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-15a-49\right){x}+84a+163$.- '17.1':- a:- '1':- number: '2.4716230083573547878953366545159211'- comment: LMFDB curve 2.2.13.1-17.1-a1 has conductor ideal $(w+4)$, rank- $0$, and equation ${y}^2+a{y}={x}^{3}+{x}^{2}+\left(-9a+18\right){x}+12a-32$.- '2':- number: '22.244607075216193091058029890643290'- comment: LMFDB curve 2.2.13.1-17.1-a2 has conductor ideal $(w+4)$, rank- $0$, and equation ${y}^2+a{y}={x}^{3}+{x}^{2}+\left(a-2\right){x}-a+1$.- '17.2':- a:- '1':- number: '22.244607075216193091058029890643290'- comment: LMFDB curve 2.2.13.1-17.2-a1 has conductor ideal $(w-5)$, rank- $0$, and equation ${y}^2+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-a-1\right){x}$.- '2':- number: '2.4716230083573547878953366545159211'- comment: LMFDB curve 2.2.13.1-17.2-a2 has conductor ideal $(w-5)$, rank- $0$, and equation ${y}^2+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(9a+9\right){x}-13a-20$.- '23.1':- a:- '1':- number: '12.992981859615609832173742710546859'- comment: LMFDB curve 2.2.13.1-23.1-a1 has conductor ideal $(-3*w-1)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(a+1\right){x}$.- '2':- number: '6.4964909298078049160868713552734299'- comment: LMFDB curve 2.2.13.1-23.1-a2 has conductor ideal $(-3*w-1)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-4a-4\right){x}-13a-18$.- '23.2':- a:- '1':- number: '6.4964909298078049160868713552734299'- comment: LMFDB curve 2.2.13.1-23.2-a1 has conductor ideal $(3*w-4)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(8a-7\right){x}+10a-14$.- '2':- number: '12.992981859615609832173742710546859'- comment: LMFDB curve 2.2.13.1-23.2-a2 has conductor ideal $(3*w-4)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(3a+3\right){x}+2a+2$.- '27.1':- a:- '1':- number: '6.2655390063997633885339133072812800'- comment: LMFDB curve 2.2.13.1-27.1-a1 has conductor ideal $(-3*w)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-a+1\right){x}-2$.- '2':- number: '2.3495771273999112707002174902304800'- comment: LMFDB curve 2.2.13.1-27.1-a2 has conductor ideal $(-3*w)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-59a-135\right){x}+766a+829$.- '3':- number: '0.78319237579997042356673916341016000'- comment: LMFDB curve 2.2.13.1-27.1-a3 has conductor ideal $(-3*w)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(464a-989\right){x}+6420a-15050$.- '4':- number: '18.796617019199290165601739921843840'- comment: LMFDB curve 2.2.13.1-27.1-a4 has conductor ideal $(-3*w)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}+a+1$.- '5':- number: '18.796617019199290165601739921843840'- comment: LMFDB curve 2.2.13.1-27.1-a5 has conductor ideal $(-3*w)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-4a-15\right){x}+a+10$.- '6':- number: '3.1327695031998816942669566536406400'- comment: LMFDB curve 2.2.13.1-27.1-a6 has conductor ideal $(-3*w)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(19a-74\right){x}+70a-224$.- '7':- number: '1.5663847515999408471334783268203200'- comment: LMFDB curve 2.2.13.1-27.1-a7 has conductor ideal $(-3*w)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-26a-119\right){x}+340a+10$.- '8':- number: '9.3983085095996450828008699609219201'- comment: LMFDB curve 2.2.13.1-27.1-a8 has conductor ideal $(-3*w)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-4a-150\right){x}-404a+118$.- '9':- number: '9.3983085095996450828008699609219201'- comment: LMFDB curve 2.2.13.1-27.1-a9 has conductor ideal $(-3*w)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-84a-120\right){x}+546a+718$.- '10':- number: '6.2655390063997633885339133072812800'- comment: LMFDB curve 2.2.13.1-27.1-a10 has conductor ideal $(-3*w)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-6a-14\right){x}-20a-26$.- '11':- number: '4.6991542547998225414004349804609600'- comment: LMFDB curve 2.2.13.1-27.1-a11 has conductor ideal $(-3*w)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-847a+1914\right){x}-19366a+44646$.- '12':- number: '3.1327695031998816942669566536406400'- comment: LMFDB curve 2.2.13.1-27.1-a12 has conductor ideal $(-3*w)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-111a-194\right){x}-1130a-1304$.- '27.2':- a:- '1':- number: '18.796617019199290165601739921843840'- comment: LMFDB curve 2.2.13.1-27.2-a1 has conductor ideal $(-3*w+3)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-3a+1\right){x}-2a+2$.- '2':- number: '1.5663847515999408471334783268203200'- comment: LMFDB curve 2.2.13.1-27.2-a2 has conductor ideal $(-3*w+3)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(26a-145\right){x}-340a+350$.- '3':- number: '4.6991542547998225414004349804609600'- comment: LMFDB curve 2.2.13.1-27.2-a3 has conductor ideal $(-3*w+3)$, rank- $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(849a+1064\right){x}+21278a+27823$.- '4':- number: '6.2655390063997633885339133072812800'- comment: LMFDB curve 2.2.13.1-27.2-a4 has conductor ideal $(-3*w+3)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+a{x}-2$.- '5':- number: '6.2655390063997633885339133072812800'- comment: LMFDB curve 2.2.13.1-27.2-a5 has conductor ideal $(-3*w+3)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(6a-20\right){x}+20a-46$.- '6':- number: '9.3983085095996450828008699609219201'- comment: LMFDB curve 2.2.13.1-27.2-a6 has conductor ideal $(-3*w+3)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(82a-204\right){x}-547a+1264$.- '7':- number: '2.3495771273999112707002174902304800'- comment: LMFDB curve 2.2.13.1-27.2-a7 has conductor ideal $(-3*w+3)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(57a-194\right){x}-767a+1595$.- '8':- number: '3.1327695031998816942669566536406400'- comment: LMFDB curve 2.2.13.1-27.2-a8 has conductor ideal $(-3*w+3)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(111a-305\right){x}+1130a-2434$.- '9':- number: '3.1327695031998816942669566536406400'- comment: LMFDB curve 2.2.13.1-27.2-a9 has conductor ideal $(-3*w+3)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-19a-55\right){x}-70a-154$.- '10':- number: '18.796617019199290165601739921843840'- comment: LMFDB curve 2.2.13.1-27.2-a10 has conductor ideal $(-3*w+3)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(2a-19\right){x}-2a+11$.- '11':- number: '0.78319237579997042356673916341016000'- comment: LMFDB curve 2.2.13.1-27.2-a11 has conductor ideal $(-3*w+3)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-464a-525\right){x}-6420a-8630$.- '12':- number: '9.3983085095996450828008699609219201'- comment: LMFDB curve 2.2.13.1-27.2-a12 has conductor ideal $(-3*w+3)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(2a-154\right){x}+403a-286$.- '36.1':- a:- '1':- number: '0.30842690239091865138320804079178769'- comment: LMFDB curve 2.2.13.1-36.1-a1 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(1023a-2390\right){x}+24243a-55924$.- '2':- number: '7.7106725597729662845802010197946922'- comment: LMFDB curve 2.2.13.1-36.1-a2 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-12a+25\right){x}-12a+26$.- '3':- number: '7.7106725597729662845802010197946922'- comment: LMFDB curve 2.2.13.1-36.1-a3 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(48a-115\right){x}-96a+218$.- '4':- number: '3.8553362798864831422901005098973461'- comment: LMFDB curve 2.2.13.1-36.1-a4 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-420a-565\right){x}-6327a-8227$.- '5':- number: '3.8553362798864831422901005098973461'- comment: LMFDB curve 2.2.13.1-36.1-a5 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(418a-985\right){x}+6326a-14554$.- '6':- number: '0.15421345119545932569160402039589384'- comment: LMFDB curve 2.2.13.1-36.1-a6 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-14305a-26645\right){x}-1473236a-2202528$.- '7':- number: '0.30842690239091865138320804079178769'- comment: LMFDB curve 2.2.13.1-36.1-a7 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(16383a-38230\right){x}+1551027a-3576436$.- '8':- number: '0.15421345119545932569160402039589384'- comment: LMFDB curve 2.2.13.1-36.1-a8 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(14303a-40950\right){x}+1473235a-3675764$.- '36.2':- a:- '1':- number: '6.8390325828112123176767981499625878'- comment: LMFDB curve 2.2.13.1-36.2-a1 has conductor ideal $(2*w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-113a-80\right){x}+590a+599$.- '2':- number: '3.7994625460062290653759989722014376'- comment: LMFDB curve 2.2.13.1-36.2-a2 has conductor ideal $(2*w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(3a-8\right){x}+14a-35$.- '3':- number: '2.2796775276037374392255993833208626'- comment: LMFDB curve 2.2.13.1-36.2-a3 has conductor ideal $(2*w+6)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(124a-297\right){x}+1087a-2492$.- '4':- number: '34.195162914056061588383990749812939'- comment: LMFDB curve 2.2.13.1-36.2-a4 has conductor ideal $(2*w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(2a-5\right){x}-5a+11$.- '5':- number: '11.398387638018687196127996916604313'- comment: LMFDB curve 2.2.13.1-36.2-a5 has conductor ideal $(2*w+6)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a+3\right){x}-3a+7$.- '6':- number: '0.75989250920124581307519979444028753'- comment: LMFDB curve 2.2.13.1-36.2-a6 has conductor ideal $(2*w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(87a+6\right){x}+358a+111$.- '36.3':- a:- '1':- number: '0.75989250920124581307519979444028753'- comment: LMFDB curve 2.2.13.1-36.3-a1 has conductor ideal $(-2*w+8)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-85a+94\right){x}-352a+209$.- '2':- number: '34.195162914056061588383990749812939'- comment: LMFDB curve 2.2.13.1-36.3-a2 has conductor ideal $(-2*w+8)$, rank- $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-a-1\right){x}$.- '3':- number: '2.2796775276037374392255993833208626'- comment: LMFDB curve 2.2.13.1-36.3-a3 has conductor ideal $(-2*w+8)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-124a-173\right){x}-1087a-1405$.- '4':- number: '3.7994625460062290653759989722014376'- comment: LMFDB curve 2.2.13.1-36.3-a4 has conductor ideal $(-2*w+8)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-4a-4\right){x}-15a-20$.- '5':- number: '11.398387638018687196127996916604313'- comment: LMFDB curve 2.2.13.1-36.3-a5 has conductor ideal $(-2*w+8)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(a+2\right){x}+3a+4$.- '6':- number: '6.8390325828112123176767981499625878'- comment: LMFDB curve 2.2.13.1-36.3-a6 has conductor ideal $(-2*w+8)$, rank- $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(114a-191\right){x}-670a+1528$.- '39.1':- a:- '1':- number: '6.9368848051699819797242226660889801'- comment: LMFDB curve 2.2.13.1-39.1-a1 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}-{x}^{2}+\left(34a+43\right){x}+323a+422$.- '2':- number: '13.873769610339963959448445332177960'- comment: LMFDB curve 2.2.13.1-39.1-a2 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(16a-27\right){x}+29a-60$.- '3':- number: '13.873769610339963959448445332177960'- comment: LMFDB curve 2.2.13.1-39.1-a3 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a+8\right){x}+5a-4$.- '4':- number: '6.9368848051699819797242226660889801'- comment: LMFDB curve 2.2.13.1-39.1-a4 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(201a-462\right){x}+2061a-4746$.- '39.2':- a:- '1':- number: '13.873769610339963959448445332177960'- comment: LMFDB curve 2.2.13.1-39.2-a1 has conductor ideal $(w-7)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(3a+4\right){x}$.- '2':- number: '13.873769610339963959448445332177960'- comment: LMFDB curve 2.2.13.1-39.2-a2 has conductor ideal $(w-7)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-12a-16\right){x}-44a-57$.- '3':- number: '6.9368848051699819797242226660889801'- comment: LMFDB curve 2.2.13.1-39.2-a3 has conductor ideal $(w-7)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-35a+77\right){x}-323a+745$.- '4':- number: '6.9368848051699819797242226660889801'- comment: LMFDB curve 2.2.13.1-39.2-a4 has conductor ideal $(w-7)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-197a-266\right){x}-2326a-3016$.- '48.1':- a:- '1':- number: '15.918596250845300167331995114219963'- comment: LMFDB curve 2.2.13.1-48.1-a1 has conductor ideal $(-4*w)$, rank- $0$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(-3a-4\right){x}-4a-5$.- '2':- number: '15.918596250845300167331995114219963'- comment: LMFDB curve 2.2.13.1-48.1-a2 has conductor ideal $(-4*w)$, rank- $0$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(a+1\right){x}$.- '3':- number: '7.9592981254226500836659975571099817'- comment: LMFDB curve 2.2.13.1-48.1-a3 has conductor ideal $(-4*w)$, rank- $0$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(-4a-4\right){x}+4a+4$.- '4':- number: '7.9592981254226500836659975571099817'- comment: LMFDB curve 2.2.13.1-48.1-a4 has conductor ideal $(-4*w)$, rank- $0$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(9a-22\right){x}-67a+154$.- '48.2':- a:- '1':- number: '7.9592981254226500836659975571099817'- comment: LMFDB curve 2.2.13.1-48.2-a1 has conductor ideal $(-4*w+4)$, rank- $0$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(-9a-13\right){x}+67a+87$.- '2':- number: '7.9592981254226500836659975571099817'- comment: LMFDB curve 2.2.13.1-48.2-a2 has conductor ideal $(-4*w+4)$, rank- $0$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(4a-8\right){x}-4a+8$.- '3':- number: '15.918596250845300167331995114219963'- comment: LMFDB curve 2.2.13.1-48.2-a3 has conductor ideal $(-4*w+4)$, rank- $0$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(-a+2\right){x}$.- '4':- number: '15.918596250845300167331995114219963'- comment: LMFDB curve 2.2.13.1-48.2-a4 has conductor ideal $(-4*w+4)$, rank- $0$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(3a-7\right){x}+4a-9$.- '51.1':- c:- '1':- number: '2.8105078829221956664009800712850398'- comment: LMFDB curve 2.2.13.1-51.1-c1 has conductor ideal $(-4*w+3)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-6a+6\right){x}-3a$.- '2':- number: '2.8105078829221956664009800712850398'- comment: LMFDB curve 2.2.13.1-51.1-c2 has conductor ideal $(-4*w+3)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-16a-69\right){x}-78a-198$.- a:- '1':- number: '8.6079279605119778207763964738049273'- comment: LMFDB curve 2.2.13.1-51.1-a1 has conductor ideal $(-4*w+3)$, rank- $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-2a-2\right){x}+11a+14$.- '2':- number: '8.6079279605119778207763964738049273'- comment: LMFDB curve 2.2.13.1-51.1-a2 has conductor ideal $(-4*w+3)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(-a+3\right){x}$.- '3':- number: '8.6079279605119778207763964738049273'- comment: LMFDB curve 2.2.13.1-51.1-a3 has conductor ideal $(-4*w+3)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(4a-12\right){x}+5a-15$.- '4':- number: '8.6079279605119778207763964738049273'- comment: LMFDB curve 2.2.13.1-51.1-a4 has conductor ideal $(-4*w+3)$, rank- $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-57a-77\right){x}+359a+464$.- b:- '1':- number: '17.138870473011498495788438886580485'- comment: LMFDB curve 2.2.13.1-51.1-b1 has conductor ideal $(-4*w+3)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(a-4\right){x}-a+2$.- '2':- number: '17.138870473011498495788438886580485'- comment: LMFDB curve 2.2.13.1-51.1-b2 has conductor ideal $(-4*w+3)$, rank- $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-107a-152\right){x}-323a-403$.- '3':- number: '17.138870473011498495788438886580485'- comment: LMFDB curve 2.2.13.1-51.1-b3 has conductor ideal $(-4*w+3)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(26a-64\right){x}-93a+212$.- '4':- number: '4.2847176182528746239471097216451212'- comment: LMFDB curve 2.2.13.1-51.1-b4 has conductor ideal $(-4*w+3)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(16a-79\right){x}-117a+164$.- '51.2':- a:- '1':- number: '20.340856799190928919265985041546446'- comment: LMFDB curve 2.2.13.1-51.2-a1 has conductor ideal $(-2*w+9)$, rank- $1$, and equation ${y}^2+a{y}={x}^{3}-{x}^{2}+\left(-2a+4\right){x}+a-3$.- '2':- number: '20.340856799190928919265985041546446'- comment: LMFDB curve 2.2.13.1-51.2-a2 has conductor ideal $(-2*w+9)$, rank- $1$, and equation ${y}^2+a{y}={x}^{3}-{x}^{2}+\left(a-1\right){x}-a+1$.- '51.3':- a:- '1':- number: '20.340856799190928919265985041546446'- comment: LMFDB curve 2.2.13.1-51.3-a1 has conductor ideal $(2*w+7)$, rank- $1$, and equation ${y}^2+\left(a+1\right){y}={x}^{3}-{x}^{2}-a{x}$.- '2':- number: '20.340856799190928919265985041546446'- comment: LMFDB curve 2.2.13.1-51.3-a2 has conductor ideal $(2*w+7)$, rank- $1$, and equation ${y}^2+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(2a+2\right){x}-2a-2$.- '51.4':- c:- '1':- number: '2.8105078829221956664009800712850398'- comment: LMFDB curve 2.2.13.1-51.4-c1 has conductor ideal $(4*w-1)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(5a+1\right){x}+2a-2$.- '2':- number: '2.8105078829221956664009800712850398'- comment: LMFDB curve 2.2.13.1-51.4-c2 has conductor ideal $(4*w-1)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(15a-84\right){x}+77a-275$.- b:- '1':- number: '17.138870473011498495788438886580485'- comment: LMFDB curve 2.2.13.1-51.4-b1 has conductor ideal $(4*w-1)$, rank- $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-2a-2\right){x}+a+1$.- '2':- number: '4.2847176182528746239471097216451212'- comment: LMFDB curve 2.2.13.1-51.4-b2 has conductor ideal $(4*w-1)$, rank- $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-17a-62\right){x}+117a+47$.- '3':- number: '17.138870473011498495788438886580485'- comment: LMFDB curve 2.2.13.1-51.4-b3 has conductor ideal $(4*w-1)$, rank- $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-27a-37\right){x}+93a+119$.- '4':- number: '17.138870473011498495788438886580485'- comment: LMFDB curve 2.2.13.1-51.4-b4 has conductor ideal $(4*w-1)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(108a-262\right){x}+61a-140$.- a:- '1':- number: '8.6079279605119778207763964738049273'- comment: LMFDB curve 2.2.13.1-51.4-a1 has conductor ideal $(4*w-1)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+{x}^{2}+\left(2a-4\right){x}-9a+21$.- '2':- number: '8.6079279605119778207763964738049273'- comment: LMFDB curve 2.2.13.1-51.4-a2 has conductor ideal $(4*w-1)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(a+2\right){x}$.- '3':- number: '8.6079279605119778207763964738049273'- comment: LMFDB curve 2.2.13.1-51.4-a3 has conductor ideal $(4*w-1)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(-4a-8\right){x}-5a-10$.- '4':- number: '8.6079279605119778207763964738049273'- comment: LMFDB curve 2.2.13.1-51.4-a4 has conductor ideal $(4*w-1)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+{x}^{2}+\left(57a-134\right){x}-302a+689$.- '52.1':- b:- '1':- number: '0.38559796534058063989835256461682483'- comment: LMFDB curve 2.2.13.1-52.1-b1 has conductor ideal $(-4*w+2)$, rank- $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-213{x}-1257$.- '2':- number: '18.894300301688451355019275666224417'- comment: LMFDB curve 2.2.13.1-52.1-b2 has conductor ideal $(-4*w+2)$, rank- $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-3{x}+3$.- a:- '1':- number: '0.26581928334230888972474875261420999'- comment: LMFDB curve 2.2.13.1-52.1-a1 has conductor ideal $(-4*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-460{x}-3830$.- '2':- number: '2.3923735500807800075227387735278899'- comment: LMFDB curve 2.2.13.1-52.1-a2 has conductor ideal $(-4*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-5{x}-8$.- '3':- number: '21.531361950727020067704648961751009'- comment: LMFDB curve 2.2.13.1-52.1-a3 has conductor ideal $(-4*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}$.- '53.1':- a:- '1':- number: '28.368431245533379276463780701368752'- comment: LMFDB curve 2.2.13.1-53.1-a1 has conductor ideal $(w+7)$, rank- $1$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-a+1\right){x}$.- '53.2':- a:- '1':- number: '28.368431245533379276463780701368752'- comment: LMFDB curve 2.2.13.1-53.2-a1 has conductor ideal $(w-8)$, rank- $1$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-{x}^{2}$.+ 4.1-a1:+ number: '1.1422605397837213349060975037183867'+ comment: LMFDB curve 2.2.13.1-4.1-a1 has conductor ideal $(2)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-29a+2\right){x}-52a-106$.+ 4.1-a2:+ number: '28.556513494593033372652437592959668'+ comment: LMFDB curve 2.2.13.1-4.1-a2 has conductor ideal $(2)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-2a-2\right){x}$.+ 4.1-a3:+ number: '1.1422605397837213349060975037183867'+ comment: LMFDB curve 2.2.13.1-4.1-a3 has conductor ideal $(2)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(75a-172\right){x}+507a-1170$.+ 4.1-a4:+ number: '28.556513494593033372652437592959668'+ comment: LMFDB curve 2.2.13.1-4.1-a4 has conductor ideal $(2)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(a-3\right){x}-a+1$.+ 4.1-a5:+ number: '28.556513494593033372652437592959668'+ comment: LMFDB curve 2.2.13.1-4.1-a5 has conductor ideal $(2)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+3{x}-a+4$.+ 4.1-a6:+ number: '1.1422605397837213349060975037183867'+ comment: LMFDB curve 2.2.13.1-4.1-a6 has conductor ideal $(2)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(28a-27\right){x}+51a-158$.+ 9.1-a1:+ number: '27.399505315356176847653137340330127'+ comment: LMFDB curve 2.2.13.1-9.1-a1 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+{x}$.+ 9.1-a2:+ number: '1.7124690822097610529783210837706329'+ comment: LMFDB curve 2.2.13.1-9.1-a2 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-5a-40\right){x}-56a-157$.+ 9.1-a3:+ number: '1.7124690822097610529783210837706329'+ comment: LMFDB curve 2.2.13.1-9.1-a3 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(265a-594\right){x}+3141a-7218$.+ 9.1-a4:+ number: '27.399505315356176847653137340330127'+ comment: LMFDB curve 2.2.13.1-9.1-a4 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}$.+ 9.1-a5:+ number: '27.399505315356176847653137340330127'+ comment: LMFDB curve 2.2.13.1-9.1-a5 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}-5{x}-3a-1$.+ 9.1-a6:+ number: '6.8498763288390442119132843350825317'+ comment: LMFDB curve 2.2.13.1-9.1-a6 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(15a-39\right){x}+54a-117$.+ 9.1-a7:+ number: '1.7124690822097610529783210837706329'+ comment: LMFDB curve 2.2.13.1-9.1-a7 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(5a-44\right){x}+51a-168$.+ 9.1-a8:+ number: '27.399505315356176847653137340330127'+ comment: LMFDB curve 2.2.13.1-9.1-a8 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(15a-65\right){x}-69a+182$.+ 9.1-a9:+ number: '6.8498763288390442119132843350825317'+ comment: LMFDB curve 2.2.13.1-9.1-a9 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-15a-25\right){x}-69a-88$.+ 9.1-a10:+ number: '27.399505315356176847653137340330127'+ comment: LMFDB curve 2.2.13.1-9.1-a10 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}-4{x}+3a+1$.+ 9.1-a11:+ number: '1.7124690822097610529783210837706329'+ comment: LMFDB curve 2.2.13.1-9.1-a11 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-265a-330\right){x}-3406a-4407$.+ 9.1-a12:+ number: '27.399505315356176847653137340330127'+ comment: LMFDB curve 2.2.13.1-9.1-a12 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-15a-49\right){x}+84a+163$.+ 17.1-a1:+ number: '2.4716230083573547878953366545159211'+ comment: LMFDB curve 2.2.13.1-17.1-a1 has conductor ideal $(w+4)$, rank $0$,+ and equation ${y}^2+a{y}={x}^{3}+{x}^{2}+\left(-9a+18\right){x}+12a-32$.+ 17.1-a2:+ number: '22.244607075216193091058029890643290'+ comment: LMFDB curve 2.2.13.1-17.1-a2 has conductor ideal $(w+4)$, rank $0$,+ and equation ${y}^2+a{y}={x}^{3}+{x}^{2}+\left(a-2\right){x}-a+1$.+ 17.2-a1:+ number: '22.244607075216193091058029890643290'+ comment: LMFDB curve 2.2.13.1-17.2-a1 has conductor ideal $(w-5)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-a-1\right){x}$.+ 17.2-a2:+ number: '2.4716230083573547878953366545159211'+ comment: LMFDB curve 2.2.13.1-17.2-a2 has conductor ideal $(w-5)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(9a+9\right){x}-13a-20$.+ 23.1-a1:+ number: '12.992981859615609832173742710546859'+ comment: LMFDB curve 2.2.13.1-23.1-a1 has conductor ideal $(-3*w-1)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(a+1\right){x}$.+ 23.1-a2:+ number: '6.4964909298078049160868713552734299'+ comment: LMFDB curve 2.2.13.1-23.1-a2 has conductor ideal $(-3*w-1)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-4a-4\right){x}-13a-18$.+ 23.2-a1:+ number: '6.4964909298078049160868713552734299'+ comment: LMFDB curve 2.2.13.1-23.2-a1 has conductor ideal $(3*w-4)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(8a-7\right){x}+10a-14$.+ 23.2-a2:+ number: '12.992981859615609832173742710546859'+ comment: LMFDB curve 2.2.13.1-23.2-a2 has conductor ideal $(3*w-4)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(3a+3\right){x}+2a+2$.+ 27.1-a1:+ number: '6.2655390063997633885339133072812800'+ comment: LMFDB curve 2.2.13.1-27.1-a1 has conductor ideal $(-3*w)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-a+1\right){x}-2$.+ 27.1-a2:+ number: '2.3495771273999112707002174902304800'+ comment: LMFDB curve 2.2.13.1-27.1-a2 has conductor ideal $(-3*w)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-59a-135\right){x}+766a+829$.+ 27.1-a3:+ number: '0.78319237579997042356673916341016000'+ comment: LMFDB curve 2.2.13.1-27.1-a3 has conductor ideal $(-3*w)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(464a-989\right){x}+6420a-15050$.+ 27.1-a4:+ number: '18.796617019199290165601739921843840'+ comment: LMFDB curve 2.2.13.1-27.1-a4 has conductor ideal $(-3*w)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}+a+1$.+ 27.1-a5:+ number: '18.796617019199290165601739921843840'+ comment: LMFDB curve 2.2.13.1-27.1-a5 has conductor ideal $(-3*w)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-4a-15\right){x}+a+10$.+ 27.1-a6:+ number: '3.1327695031998816942669566536406400'+ comment: LMFDB curve 2.2.13.1-27.1-a6 has conductor ideal $(-3*w)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(19a-74\right){x}+70a-224$.+ 27.1-a7:+ number: '1.5663847515999408471334783268203200'+ comment: LMFDB curve 2.2.13.1-27.1-a7 has conductor ideal $(-3*w)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-26a-119\right){x}+340a+10$.+ 27.1-a8:+ number: '9.3983085095996450828008699609219201'+ comment: LMFDB curve 2.2.13.1-27.1-a8 has conductor ideal $(-3*w)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-4a-150\right){x}-404a+118$.+ 27.1-a9:+ number: '9.3983085095996450828008699609219201'+ comment: LMFDB curve 2.2.13.1-27.1-a9 has conductor ideal $(-3*w)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-84a-120\right){x}+546a+718$.+ 27.1-a10:+ number: '6.2655390063997633885339133072812800'+ comment: LMFDB curve 2.2.13.1-27.1-a10 has conductor ideal $(-3*w)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-6a-14\right){x}-20a-26$.+ 27.1-a11:+ number: '4.6991542547998225414004349804609600'+ comment: LMFDB curve 2.2.13.1-27.1-a11 has conductor ideal $(-3*w)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-847a+1914\right){x}-19366a+44646$.+ 27.1-a12:+ number: '3.1327695031998816942669566536406400'+ comment: LMFDB curve 2.2.13.1-27.1-a12 has conductor ideal $(-3*w)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-111a-194\right){x}-1130a-1304$.+ 27.2-a1:+ number: '18.796617019199290165601739921843840'+ comment: LMFDB curve 2.2.13.1-27.2-a1 has conductor ideal $(-3*w+3)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-3a+1\right){x}-2a+2$.+ 27.2-a2:+ number: '1.5663847515999408471334783268203200'+ comment: LMFDB curve 2.2.13.1-27.2-a2 has conductor ideal $(-3*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(26a-145\right){x}-340a+350$.+ 27.2-a3:+ number: '4.6991542547998225414004349804609600'+ comment: LMFDB curve 2.2.13.1-27.2-a3 has conductor ideal $(-3*w+3)$, rank $0$,+ and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(849a+1064\right){x}+21278a+27823$.+ 27.2-a4:+ number: '6.2655390063997633885339133072812800'+ comment: LMFDB curve 2.2.13.1-27.2-a4 has conductor ideal $(-3*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+a{x}-2$.+ 27.2-a5:+ number: '6.2655390063997633885339133072812800'+ comment: LMFDB curve 2.2.13.1-27.2-a5 has conductor ideal $(-3*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(6a-20\right){x}+20a-46$.+ 27.2-a6:+ number: '9.3983085095996450828008699609219201'+ comment: LMFDB curve 2.2.13.1-27.2-a6 has conductor ideal $(-3*w+3)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(82a-204\right){x}-547a+1264$.+ 27.2-a7:+ number: '2.3495771273999112707002174902304800'+ comment: LMFDB curve 2.2.13.1-27.2-a7 has conductor ideal $(-3*w+3)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(57a-194\right){x}-767a+1595$.+ 27.2-a8:+ number: '3.1327695031998816942669566536406400'+ comment: LMFDB curve 2.2.13.1-27.2-a8 has conductor ideal $(-3*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(111a-305\right){x}+1130a-2434$.+ 27.2-a9:+ number: '3.1327695031998816942669566536406400'+ comment: LMFDB curve 2.2.13.1-27.2-a9 has conductor ideal $(-3*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-19a-55\right){x}-70a-154$.+ 27.2-a10:+ number: '18.796617019199290165601739921843840'+ comment: LMFDB curve 2.2.13.1-27.2-a10 has conductor ideal $(-3*w+3)$, rank+ $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(2a-19\right){x}-2a+11$.+ 27.2-a11:+ number: '0.78319237579997042356673916341016000'+ comment: LMFDB curve 2.2.13.1-27.2-a11 has conductor ideal $(-3*w+3)$, rank+ $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-464a-525\right){x}-6420a-8630$.+ 27.2-a12:+ number: '9.3983085095996450828008699609219201'+ comment: LMFDB curve 2.2.13.1-27.2-a12 has conductor ideal $(-3*w+3)$, rank+ $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(2a-154\right){x}+403a-286$.+ 36.1-a1:+ number: '0.30842690239091865138320804079178769'+ comment: LMFDB curve 2.2.13.1-36.1-a1 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(1023a-2390\right){x}+24243a-55924$.+ 36.1-a2:+ number: '7.7106725597729662845802010197946922'+ comment: LMFDB curve 2.2.13.1-36.1-a2 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-12a+25\right){x}-12a+26$.+ 36.1-a3:+ number: '7.7106725597729662845802010197946922'+ comment: LMFDB curve 2.2.13.1-36.1-a3 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(48a-115\right){x}-96a+218$.+ 36.1-a4:+ number: '3.8553362798864831422901005098973461'+ comment: LMFDB curve 2.2.13.1-36.1-a4 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-420a-565\right){x}-6327a-8227$.+ 36.1-a5:+ number: '3.8553362798864831422901005098973461'+ comment: LMFDB curve 2.2.13.1-36.1-a5 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(418a-985\right){x}+6326a-14554$.+ 36.1-a6:+ number: '0.15421345119545932569160402039589384'+ comment: LMFDB curve 2.2.13.1-36.1-a6 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-14305a-26645\right){x}-1473236a-2202528$.+ 36.1-a7:+ number: '0.30842690239091865138320804079178769'+ comment: LMFDB curve 2.2.13.1-36.1-a7 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(16383a-38230\right){x}+1551027a-3576436$.+ 36.1-a8:+ number: '0.15421345119545932569160402039589384'+ comment: LMFDB curve 2.2.13.1-36.1-a8 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(14303a-40950\right){x}+1473235a-3675764$.+ 36.2-a1:+ number: '6.8390325828112123176767981499625878'+ comment: LMFDB curve 2.2.13.1-36.2-a1 has conductor ideal $(2*w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-113a-80\right){x}+590a+599$.+ 36.2-a2:+ number: '3.7994625460062290653759989722014376'+ comment: LMFDB curve 2.2.13.1-36.2-a2 has conductor ideal $(2*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(3a-8\right){x}+14a-35$.+ 36.2-a3:+ number: '2.2796775276037374392255993833208626'+ comment: LMFDB curve 2.2.13.1-36.2-a3 has conductor ideal $(2*w+6)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+\left(124a-297\right){x}+1087a-2492$.+ 36.2-a4:+ number: '34.195162914056061588383990749812939'+ comment: LMFDB curve 2.2.13.1-36.2-a4 has conductor ideal $(2*w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(2a-5\right){x}-5a+11$.+ 36.2-a5:+ number: '11.398387638018687196127996916604313'+ comment: LMFDB curve 2.2.13.1-36.2-a5 has conductor ideal $(2*w+6)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a+3\right){x}-3a+7$.+ 36.2-a6:+ number: '0.75989250920124581307519979444028753'+ comment: LMFDB curve 2.2.13.1-36.2-a6 has conductor ideal $(2*w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(87a+6\right){x}+358a+111$.+ 36.3-a1:+ number: '0.75989250920124581307519979444028753'+ comment: LMFDB curve 2.2.13.1-36.3-a1 has conductor ideal $(-2*w+8)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-85a+94\right){x}-352a+209$.+ 36.3-a2:+ number: '34.195162914056061588383990749812939'+ comment: LMFDB curve 2.2.13.1-36.3-a2 has conductor ideal $(-2*w+8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-a-1\right){x}$.+ 36.3-a3:+ number: '2.2796775276037374392255993833208626'+ comment: LMFDB curve 2.2.13.1-36.3-a3 has conductor ideal $(-2*w+8)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-124a-173\right){x}-1087a-1405$.+ 36.3-a4:+ number: '3.7994625460062290653759989722014376'+ comment: LMFDB curve 2.2.13.1-36.3-a4 has conductor ideal $(-2*w+8)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-4a-4\right){x}-15a-20$.+ 36.3-a5:+ number: '11.398387638018687196127996916604313'+ comment: LMFDB curve 2.2.13.1-36.3-a5 has conductor ideal $(-2*w+8)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(a+2\right){x}+3a+4$.+ 36.3-a6:+ number: '6.8390325828112123176767981499625878'+ comment: LMFDB curve 2.2.13.1-36.3-a6 has conductor ideal $(-2*w+8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(114a-191\right){x}-670a+1528$.+ 39.1-a1:+ number: '6.9368848051699819797242226660889801'+ comment: LMFDB curve 2.2.13.1-39.1-a1 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+a{x}{y}+{y}={x}^{3}-{x}^{2}+\left(34a+43\right){x}+323a+422$.+ 39.1-a2:+ number: '13.873769610339963959448445332177960'+ comment: LMFDB curve 2.2.13.1-39.1-a2 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(16a-27\right){x}+29a-60$.+ 39.1-a3:+ number: '13.873769610339963959448445332177960'+ comment: LMFDB curve 2.2.13.1-39.1-a3 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a+8\right){x}+5a-4$.+ 39.1-a4:+ number: '6.9368848051699819797242226660889801'+ comment: LMFDB curve 2.2.13.1-39.1-a4 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(201a-462\right){x}+2061a-4746$.+ 39.2-a1:+ number: '13.873769610339963959448445332177960'+ comment: LMFDB curve 2.2.13.1-39.2-a1 has conductor ideal $(w-7)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(3a+4\right){x}$.+ 39.2-a2:+ number: '13.873769610339963959448445332177960'+ comment: LMFDB curve 2.2.13.1-39.2-a2 has conductor ideal $(w-7)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-12a-16\right){x}-44a-57$.+ 39.2-a3:+ number: '6.9368848051699819797242226660889801'+ comment: LMFDB curve 2.2.13.1-39.2-a3 has conductor ideal $(w-7)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-35a+77\right){x}-323a+745$.+ 39.2-a4:+ number: '6.9368848051699819797242226660889801'+ comment: LMFDB curve 2.2.13.1-39.2-a4 has conductor ideal $(w-7)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-197a-266\right){x}-2326a-3016$.+ 48.1-a1:+ number: '15.918596250845300167331995114219963'+ comment: LMFDB curve 2.2.13.1-48.1-a1 has conductor ideal $(-4*w)$, rank $0$,+ and equation ${y}^2={x}^{3}-{x}^{2}+\left(-3a-4\right){x}-4a-5$.+ 48.1-a2:+ number: '15.918596250845300167331995114219963'+ comment: LMFDB curve 2.2.13.1-48.1-a2 has conductor ideal $(-4*w)$, rank $0$,+ and equation ${y}^2={x}^{3}-{x}^{2}+\left(a+1\right){x}$.+ 48.1-a3:+ number: '7.9592981254226500836659975571099817'+ comment: LMFDB curve 2.2.13.1-48.1-a3 has conductor ideal $(-4*w)$, rank $0$,+ and equation ${y}^2={x}^{3}-{x}^{2}+\left(-4a-4\right){x}+4a+4$.+ 48.1-a4:+ number: '7.9592981254226500836659975571099817'+ comment: LMFDB curve 2.2.13.1-48.1-a4 has conductor ideal $(-4*w)$, rank $0$,+ and equation ${y}^2={x}^{3}-{x}^{2}+\left(9a-22\right){x}-67a+154$.+ 48.2-a1:+ number: '7.9592981254226500836659975571099817'+ comment: LMFDB curve 2.2.13.1-48.2-a1 has conductor ideal $(-4*w+4)$, rank $0$,+ and equation ${y}^2={x}^{3}-{x}^{2}+\left(-9a-13\right){x}+67a+87$.+ 48.2-a2:+ number: '7.9592981254226500836659975571099817'+ comment: LMFDB curve 2.2.13.1-48.2-a2 has conductor ideal $(-4*w+4)$, rank $0$,+ and equation ${y}^2={x}^{3}-{x}^{2}+\left(4a-8\right){x}-4a+8$.+ 48.2-a3:+ number: '15.918596250845300167331995114219963'+ comment: LMFDB curve 2.2.13.1-48.2-a3 has conductor ideal $(-4*w+4)$, rank $0$,+ and equation ${y}^2={x}^{3}-{x}^{2}+\left(-a+2\right){x}$.+ 48.2-a4:+ number: '15.918596250845300167331995114219963'+ comment: LMFDB curve 2.2.13.1-48.2-a4 has conductor ideal $(-4*w+4)$, rank $0$,+ and equation ${y}^2={x}^{3}-{x}^{2}+\left(3a-7\right){x}+4a-9$.+ 51.1-c1:+ number: '2.8105078829221956664009800712850398'+ comment: LMFDB curve 2.2.13.1-51.1-c1 has conductor ideal $(-4*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-6a+6\right){x}-3a$.+ 51.1-c2:+ number: '2.8105078829221956664009800712850398'+ comment: LMFDB curve 2.2.13.1-51.1-c2 has conductor ideal $(-4*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-16a-69\right){x}-78a-198$.+ 51.1-a1:+ number: '8.6079279605119778207763964738049273'+ comment: LMFDB curve 2.2.13.1-51.1-a1 has conductor ideal $(-4*w+3)$, rank $0$,+ and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-2a-2\right){x}+11a+14$.+ 51.1-a2:+ number: '8.6079279605119778207763964738049273'+ comment: LMFDB curve 2.2.13.1-51.1-a2 has conductor ideal $(-4*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(-a+3\right){x}$.+ 51.1-a3:+ number: '8.6079279605119778207763964738049273'+ comment: LMFDB curve 2.2.13.1-51.1-a3 has conductor ideal $(-4*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(4a-12\right){x}+5a-15$.+ 51.1-a4:+ number: '8.6079279605119778207763964738049273'+ comment: LMFDB curve 2.2.13.1-51.1-a4 has conductor ideal $(-4*w+3)$, rank $0$,+ and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-57a-77\right){x}+359a+464$.+ 51.1-b1:+ number: '17.138870473011498495788438886580485'+ comment: LMFDB curve 2.2.13.1-51.1-b1 has conductor ideal $(-4*w+3)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(a-4\right){x}-a+2$.+ 51.1-b2:+ number: '17.138870473011498495788438886580485'+ comment: LMFDB curve 2.2.13.1-51.1-b2 has conductor ideal $(-4*w+3)$, rank $0$,+ and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-107a-152\right){x}-323a-403$.+ 51.1-b3:+ number: '17.138870473011498495788438886580485'+ comment: LMFDB curve 2.2.13.1-51.1-b3 has conductor ideal $(-4*w+3)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(26a-64\right){x}-93a+212$.+ 51.1-b4:+ number: '4.2847176182528746239471097216451212'+ comment: LMFDB curve 2.2.13.1-51.1-b4 has conductor ideal $(-4*w+3)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(16a-79\right){x}-117a+164$.+ 51.2-a1:+ number: '20.340856799190928919265985041546446'+ comment: LMFDB curve 2.2.13.1-51.2-a1 has conductor ideal $(-2*w+9)$, rank $1$,+ and equation ${y}^2+a{y}={x}^{3}-{x}^{2}+\left(-2a+4\right){x}+a-3$.+ 51.2-a2:+ number: '20.340856799190928919265985041546446'+ comment: LMFDB curve 2.2.13.1-51.2-a2 has conductor ideal $(-2*w+9)$, rank $1$,+ and equation ${y}^2+a{y}={x}^{3}-{x}^{2}+\left(a-1\right){x}-a+1$.+ 51.3-a1:+ number: '20.340856799190928919265985041546446'+ comment: LMFDB curve 2.2.13.1-51.3-a1 has conductor ideal $(2*w+7)$, rank $1$,+ and equation ${y}^2+\left(a+1\right){y}={x}^{3}-{x}^{2}-a{x}$.+ 51.3-a2:+ number: '20.340856799190928919265985041546446'+ comment: LMFDB curve 2.2.13.1-51.3-a2 has conductor ideal $(2*w+7)$, rank $1$,+ and equation ${y}^2+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(2a+2\right){x}-2a-2$.+ 51.4-c1:+ number: '2.8105078829221956664009800712850398'+ comment: LMFDB curve 2.2.13.1-51.4-c1 has conductor ideal $(4*w-1)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(5a+1\right){x}+2a-2$.+ 51.4-c2:+ number: '2.8105078829221956664009800712850398'+ comment: LMFDB curve 2.2.13.1-51.4-c2 has conductor ideal $(4*w-1)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(15a-84\right){x}+77a-275$.+ 51.4-b1:+ number: '17.138870473011498495788438886580485'+ comment: LMFDB curve 2.2.13.1-51.4-b1 has conductor ideal $(4*w-1)$, rank $0$,+ and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-2a-2\right){x}+a+1$.+ 51.4-b2:+ number: '4.2847176182528746239471097216451212'+ comment: LMFDB curve 2.2.13.1-51.4-b2 has conductor ideal $(4*w-1)$, rank $0$,+ and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-17a-62\right){x}+117a+47$.+ 51.4-b3:+ number: '17.138870473011498495788438886580485'+ comment: LMFDB curve 2.2.13.1-51.4-b3 has conductor ideal $(4*w-1)$, rank $0$,+ and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-27a-37\right){x}+93a+119$.+ 51.4-b4:+ number: '17.138870473011498495788438886580485'+ comment: LMFDB curve 2.2.13.1-51.4-b4 has conductor ideal $(4*w-1)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(108a-262\right){x}+61a-140$.+ 51.4-a1:+ number: '8.6079279605119778207763964738049273'+ comment: LMFDB curve 2.2.13.1-51.4-a1 has conductor ideal $(4*w-1)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+{x}^{2}+\left(2a-4\right){x}-9a+21$.+ 51.4-a2:+ number: '8.6079279605119778207763964738049273'+ comment: LMFDB curve 2.2.13.1-51.4-a2 has conductor ideal $(4*w-1)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(a+2\right){x}$.+ 51.4-a3:+ number: '8.6079279605119778207763964738049273'+ comment: LMFDB curve 2.2.13.1-51.4-a3 has conductor ideal $(4*w-1)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(-4a-8\right){x}-5a-10$.+ 51.4-a4:+ number: '8.6079279605119778207763964738049273'+ comment: LMFDB curve 2.2.13.1-51.4-a4 has conductor ideal $(4*w-1)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+{x}^{2}+\left(57a-134\right){x}-302a+689$.+ 52.1-b1:+ number: '0.38559796534058063989835256461682483'+ comment: LMFDB curve 2.2.13.1-52.1-b1 has conductor ideal $(-4*w+2)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-213{x}-1257$.+ 52.1-b2:+ number: '18.894300301688451355019275666224417'+ comment: LMFDB curve 2.2.13.1-52.1-b2 has conductor ideal $(-4*w+2)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-3{x}+3$.+ 52.1-a1:+ number: '0.26581928334230888972474875261420999'+ comment: LMFDB curve 2.2.13.1-52.1-a1 has conductor ideal $(-4*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-460{x}-3830$.+ 52.1-a2:+ number: '2.3923735500807800075227387735278899'+ comment: LMFDB curve 2.2.13.1-52.1-a2 has conductor ideal $(-4*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-5{x}-8$.+ 52.1-a3:+ number: '21.531361950727020067704648961751009'+ comment: LMFDB curve 2.2.13.1-52.1-a3 has conductor ideal $(-4*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}$.+ 53.1-a1:+ number: '28.368431245533379276463780701368752'+ comment: LMFDB curve 2.2.13.1-53.1-a1 has conductor ideal $(w+7)$, rank $1$,+ and equation ${y}^2+a{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-a+1\right){x}$.+ 53.2-a1:+ number: '28.368431245533379276463780701368752'+ comment: LMFDB curve 2.2.13.1-53.2-a1 has conductor ideal $(w-8)$, rank $1$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-{x}^{2}$. '17':- '4.1':- a:- '1':- number: '2.5512619868368420218277732147808144'- comment: LMFDB curve 2.2.17.1-4.1-a1 has conductor ideal $(2)$, rank $0$,- and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-9a+22\right){x}+106a-272$.- '2':- number: '22.961357881531578196449958933027329'- comment: LMFDB curve 2.2.17.1-4.1-a2 has conductor ideal $(2)$, rank $0$,- and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-2\right){x}+4a+6$.- '3':- number: '2.5512619868368420218277732147808144'- comment: LMFDB curve 2.2.17.1-4.1-a3 has conductor ideal $(2)$, rank $0$,- and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(9a+13\right){x}-106a-166$.- '4':- number: '22.961357881531578196449958933027329'- comment: LMFDB curve 2.2.17.1-4.1-a4 has conductor ideal $(2)$, rank $0$,- and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-3\right){x}-4a+10$.- '5':- number: '45.922715763063156392899917866054659'- comment: LMFDB curve 2.2.17.1-4.1-a5 has conductor ideal $(2)$, rank $0$,- and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}-2a{x}$.- '6':- number: '2.5512619868368420218277732147808144'- comment: LMFDB curve 2.2.17.1-4.1-a6 has conductor ideal $(2)$, rank $0$,- and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(981a-2517\right){x}+23628a-60528$.- '7':- number: '5.1025239736736840436555464295616288'- comment: LMFDB curve 2.2.17.1-4.1-a7 has conductor ideal $(2)$, rank $0$,- and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(61a-157\right){x}+348a-896$.- '8':- number: '45.922715763063156392899917866054659'- comment: LMFDB curve 2.2.17.1-4.1-a8 has conductor ideal $(2)$, rank $0$,- and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(a-2\right){x}-a$.- '9':- number: '22.961357881531578196449958933027329'- comment: LMFDB curve 2.2.17.1-4.1-a9 has conductor ideal $(2)$, rank $0$,- and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-12a-20\right){x}-28a-44$.- '10':- number: '5.1025239736736840436555464295616288'- comment: LMFDB curve 2.2.17.1-4.1-a10 has conductor ideal $(2)$, rank $0$,- and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-62a-95\right){x}-349a-547$.- '11':- number: '22.961357881531578196449958933027329'- comment: LMFDB curve 2.2.17.1-4.1-a11 has conductor ideal $(2)$, rank $0$,- and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(11a-32\right){x}+27a-72$.- '12':- number: '2.5512619868368420218277732147808144'- comment: LMFDB curve 2.2.17.1-4.1-a12 has conductor ideal $(2)$, rank $0$,- and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-982a-1535\right){x}-23629a-36899$.- '8.3':- a:- '1':- number: '12.690574342122364819155786846722745'- comment: LMFDB curve 2.2.17.1-8.3-a1 has conductor ideal $(-w-3)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(4a+7\right){x}-34a-53$.- '2':- number: '6.3452871710611824095778934233613728'- comment: LMFDB curve 2.2.17.1-8.3-a2 has conductor ideal $(-w-3)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(80a+125\right){x}+1186a+1852$.- '3':- number: '25.381148684244729638311573693445491'- comment: LMFDB curve 2.2.17.1-8.3-a3 has conductor ideal $(-w-3)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(12a-37\right){x}+46a-121$.- '4':- number: '25.381148684244729638311573693445491'- comment: LMFDB curve 2.2.17.1-8.3-a4 has conductor ideal $(-w-3)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(a+3\right){x}$.- '5':- number: '25.381148684244729638311573693445491'- comment: LMFDB curve 2.2.17.1-8.3-a5 has conductor ideal $(-w-3)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-5a-8\right){x}+2a+3$.- '6':- number: '12.690574342122364819155786846722745'- comment: LMFDB curve 2.2.17.1-8.3-a6 has conductor ideal $(-w-3)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-4a-12\right){x}-29a-31$.- '8.4':- a:- '1':- number: '25.381148684244729638311573693445491'- comment: LMFDB curve 2.2.17.1-8.4-a1 has conductor ideal $(w-4)$, rank $0$,- and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(3a-11\right){x}-3a+6$.- '2':- number: '12.690574342122364819155786846722745'- comment: LMFDB curve 2.2.17.1-8.4-a2 has conductor ideal $(w-4)$, rank $0$,- and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-6a+13\right){x}+33a-86$.- '3':- number: '25.381148684244729638311573693445491'- comment: LMFDB curve 2.2.17.1-8.4-a3 has conductor ideal $(w-4)$, rank $0$,- and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+2a{x}+a$.- '4':- number: '25.381148684244729638311573693445491'- comment: LMFDB curve 2.2.17.1-8.4-a4 has conductor ideal $(w-4)$, rank $0$,- and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-14a-23\right){x}-47a-74$.- '5':- number: '12.690574342122364819155786846722745'- comment: LMFDB curve 2.2.17.1-8.4-a5 has conductor ideal $(w-4)$, rank $0$,- and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(7a-20\right){x}+15a-40$.- '6':- number: '6.3452871710611824095778934233613728'- comment: LMFDB curve 2.2.17.1-8.4-a6 has conductor ideal $(w-4)$, rank $0$,- and equation ${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(-80a+205\right){x}-1186a+3038$.- '9.1':- b:- '1':- number: '0.80854775674369725141866352864990439'- comment: LMFDB curve 2.2.17.1-9.1-b1 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+{y}={x}^{3}-a{x}^{2}+\left(795a-2035\right){x}+17928a-45924$.- '2':- number: '20.213693918592431285466588216247609'- comment: LMFDB curve 2.2.17.1-9.1-b2 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+{y}={x}^{3}-a{x}^{2}+\left(-5a+15\right){x}+2a-6$.- a:- '1':- number: '15.988921889123692524258642767346565'- comment: LMFDB curve 2.2.17.1-9.1-a1 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(48a-123\right){x}+291a-749$.- '2':- number: '15.988921889123692524258642767346565'- comment: LMFDB curve 2.2.17.1-9.1-a2 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(32a-79\right){x}-131a+330$.- '3':- number: '7.9944609445618462621293213836732827'- comment: LMFDB curve 2.2.17.1-9.1-a3 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(58a+92\right){x}+322a+503$.- '4':- number: '31.977843778247385048517285534693131'- comment: LMFDB curve 2.2.17.1-9.1-a4 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-22a-33\right){x}+71a+111$.- '5':- number: '31.977843778247385048517285534693131'- comment: LMFDB curve 2.2.17.1-9.1-a5 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(2a-4\right){x}-2a+3$.- '6':- number: '31.977843778247385048517285534693131'- comment: LMFDB curve 2.2.17.1-9.1-a6 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-a-2\right){x}-1$.- '7':- number: '15.988921889123692524258642767346565'- comment: LMFDB curve 2.2.17.1-9.1-a7 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-49a-74\right){x}-292a-457$.- '8':- number: '15.988921889123692524258642767346565'- comment: LMFDB curve 2.2.17.1-9.1-a8 has conductor ideal $(3)$, rank $0$,- and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-31a-47\right){x}+99a+152$.- '16.1':- a:- '1':- number: '1.5183209502654180195762491193956925'- comment: LMFDB curve 2.2.17.1-16.1-a1 has conductor ideal $(4)$, rank $0$,- and equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-38a-77\right){x}-268a-444$.- '2':- number: '13.664888552388762176186242074561232'- comment: LMFDB curve 2.2.17.1-16.1-a2 has conductor ideal $(4)$, rank $0$,- and equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(2a+3\right){x}$.- '3':- number: '13.664888552388762176186242074561232'- comment: LMFDB curve 2.2.17.1-16.1-a3 has conductor ideal $(4)$, rank $0$,- and equation ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+4{x}+a-4$.- '4':- number: '1.5183209502654180195762491193956925'- comment: LMFDB curve 2.2.17.1-16.1-a4 has conductor ideal $(4)$, rank $0$,- and equation ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(40a-116\right){x}+229a-596$.- '16.4':- a:- '1':- number: '9.2352306551808894159070003676336332'- comment: LMFDB curve 2.2.17.1-16.4-a1 has conductor ideal $(w+4)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-a-3\right){x}-6a-10$.- '2':- number: '18.470461310361778831814000735267266'- comment: LMFDB curve 2.2.17.1-16.4-a2 has conductor ideal $(w+4)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}$.- '3':- number: '36.940922620723557663628001470534532'- comment: LMFDB curve 2.2.17.1-16.4-a3 has conductor ideal $(w+4)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-9a-15\right){x}-6a-10$.- '4':- number: '18.470461310361778831814000735267266'- comment: LMFDB curve 2.2.17.1-16.4-a4 has conductor ideal $(w+4)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+a{x}$.- '5':- number: '36.940922620723557663628001470534532'- comment: LMFDB curve 2.2.17.1-16.4-a5 has conductor ideal $(w+4)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-124a-195\right){x}+916a+1430$.- '6':- number: '4.6176153275904447079535001838168166'- comment: LMFDB curve 2.2.17.1-16.4-a6 has conductor ideal $(w+4)$, rank- $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}-4a{x}-5a-20$.- '16.5':- a:- '1':- number: '18.470461310361778831814000735267266'- comment: LMFDB curve 2.2.17.1-16.5-a1 has conductor ideal $(-w+5)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}-2a{x}-a$.- '2':- number: '4.6176153275904447079535001838168166'- comment: LMFDB curve 2.2.17.1-16.5-a2 has conductor ideal $(-w+5)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(7a-2\right){x}+5a-5$.- '3':- number: '18.470461310361778831814000735267266'- comment: LMFDB curve 2.2.17.1-16.5-a3 has conductor ideal $(-w+5)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(2a+3\right){x}$.- '4':- number: '36.940922620723557663628001470534532'- comment: LMFDB curve 2.2.17.1-16.5-a4 has conductor ideal $(-w+5)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(12a-22\right){x}-7a+26$.- '5':- number: '9.2352306551808894159070003676336332'- comment: LMFDB curve 2.2.17.1-16.5-a5 has conductor ideal $(-w+5)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-a-4\right){x}+5a-16$.- '6':- number: '36.940922620723557663628001470534532'- comment: LMFDB curve 2.2.17.1-16.5-a6 has conductor ideal $(-w+5)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(127a-317\right){x}-1109a+2848$.- '17.1':- a:- '1':- number: '0.59836394096194868304712971345340286'- comment: LMFDB curve 2.2.17.1-17.1-a1 has conductor ideal $(-2*w+1)$, rank- $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(330a-936\right){x}+4996a-13110$.- '2':- number: '2.3934557638477947321885188538136114'- comment: LMFDB curve 2.2.17.1-17.1-a2 has conductor ideal $(-2*w+1)$, rank- $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-{x}-14$.- '3':- number: '38.295292221564715715016301661017783'- comment: LMFDB curve 2.2.17.1-17.1-a3 has conductor ideal $(-2*w+1)$, rank- $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(6a+9\right){x}+4a+6$.- '4':- number: '38.295292221564715715016301661017783'- comment: LMFDB curve 2.2.17.1-17.1-a4 has conductor ideal $(-2*w+1)$, rank- $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-{x}$.- '5':- number: '9.5738230553911789287540754152544457'- comment: LMFDB curve 2.2.17.1-17.1-a5 has conductor ideal $(-2*w+1)$, rank- $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-6{x}-4$.- '6':- number: '38.295292221564715715016301661017783'- comment: LMFDB curve 2.2.17.1-17.1-a6 has conductor ideal $(-2*w+1)$, rank- $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-6a+15\right){x}-4a+10$.- '7':- number: '2.3934557638477947321885188538136114'- comment: LMFDB curve 2.2.17.1-17.1-a7 has conductor ideal $(-2*w+1)$, rank- $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-91{x}-310$.- '8':- number: '0.59836394096194868304712971345340286'- comment: LMFDB curve 2.2.17.1-17.1-a8 has conductor ideal $(-2*w+1)$, rank- $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-330a-606\right){x}-4996a-8114$.- '18.1':- a:- '1':- number: '1.6806398324074782732863300944642873'- comment: LMFDB curve 2.2.17.1-18.1-a1 has conductor ideal $(-3*w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(304a-779\right){x}+4017a-10293$.- '2':- number: '26.890237318519652372581281511428598'- comment: LMFDB curve 2.2.17.1-18.1-a2 has conductor ideal $(-3*w+6)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}-2a-3$.- '3':- number: '26.890237318519652372581281511428598'- comment: LMFDB curve 2.2.17.1-18.1-a3 has conductor ideal $(-3*w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}-2a{x}+1$.- '4':- number: '26.890237318519652372581281511428598'- comment: LMFDB curve 2.2.17.1-18.1-a4 has conductor ideal $(-3*w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(4a-9\right){x}-7a+17$.- '5':- number: '6.7225593296299130931453203778571495'- comment: LMFDB curve 2.2.17.1-18.1-a5 has conductor ideal $(-3*w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(19a-49\right){x}+53a-139$.- '6':- number: '1.6806398324074782732863300944642873'- comment: LMFDB curve 2.2.17.1-18.1-a6 has conductor ideal $(-3*w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-26a+41\right){x}+269a-769$.- '18.2':- a:- '1':- number: '1.6806398324074782732863300944642873'- comment: LMFDB curve 2.2.17.1-18.2-a1 has conductor ideal $(-3*w-3)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(25a+15\right){x}-270a-500$.- '2':- number: '26.890237318519652372581281511428598'- comment: LMFDB curve 2.2.17.1-18.2-a2 has conductor ideal $(-3*w-3)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(a-1\right){x}-a+2$.- '3':- number: '26.890237318519652372581281511428598'- comment: LMFDB curve 2.2.17.1-18.2-a3 has conductor ideal $(-3*w-3)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-5a-5\right){x}+6a+10$.- '4':- number: '6.7225593296299130931453203778571495'- comment: LMFDB curve 2.2.17.1-18.2-a4 has conductor ideal $(-3*w-3)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-20a-30\right){x}-54a-86$.- '5':- number: '26.890237318519652372581281511428598'- comment: LMFDB curve 2.2.17.1-18.2-a5 has conductor ideal $(-3*w-3)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-a+2\right){x}+2a-5$.- '6':- number: '1.6806398324074782732863300944642873'- comment: LMFDB curve 2.2.17.1-18.2-a6 has conductor ideal $(-3*w-3)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-305a-475\right){x}-4018a-6276$.- '26.1':- a:- '1':- number: '26.233554248044369284068449972730033'- comment: LMFDB curve 2.2.17.1-26.1-a1 has conductor ideal $(w+5)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(13a-32\right){x}-28a+71$.- '2':- number: '26.233554248044369284068449972730033'- comment: LMFDB curve 2.2.17.1-26.1-a2 has conductor ideal $(w+5)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a+1\right){x}$.- '3':- number: '26.233554248044369284068449972730033'- comment: LMFDB curve 2.2.17.1-26.1-a3 has conductor ideal $(w+5)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-17a-26\right){x}+66a+103$.- '4':- number: '6.5583885620110923210171124931825083'- comment: LMFDB curve 2.2.17.1-26.1-a4 has conductor ideal $(w+5)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-4a-4\right){x}-13a-21$.- '26.2':- a:- '1':- number: '14.766082388518213365984631171010280'- comment: LMFDB curve 2.2.17.1-26.2-a1 has conductor ideal $(-3*w+5)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(139a-356\right){x}-1316a+3371$.- '2':- number: '7.3830411942591066829923155855051404'- comment: LMFDB curve 2.2.17.1-26.2-a2 has conductor ideal $(-3*w+5)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(a-2\right){x}+2a-5$.- '3':- number: '3.6915205971295533414961577927525702'- comment: LMFDB curve 2.2.17.1-26.2-a3 has conductor ideal $(-3*w+5)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-20a+52\right){x}+15a-39$.- '4':- number: '14.766082388518213365984631171010280'- comment: LMFDB curve 2.2.17.1-26.2-a4 has conductor ideal $(-3*w+5)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(5a-13\right){x}$.- '5':- number: '14.766082388518213365984631171010280'- comment: LMFDB curve 2.2.17.1-26.2-a5 has conductor ideal $(-3*w+5)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-10a-16\right){x}+25a+39$.- '6':- number: '14.766082388518213365984631171010280'- comment: LMFDB curve 2.2.17.1-26.2-a6 has conductor ideal $(-3*w+5)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-14a-23\right){x}-39a-60$.- '7':- number: '7.3830411942591066829923155855051404'- comment: LMFDB curve 2.2.17.1-26.2-a7 has conductor ideal $(-3*w+5)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-155a-251\right){x}+1582a+2462$.- '8':- number: '3.6915205971295533414961577927525702'- comment: LMFDB curve 2.2.17.1-26.2-a8 has conductor ideal $(-3*w+5)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-229a-358\right){x}-2654a-4143$.- '26.3':- a:- '1':- number: '7.3830411942591066829923155855051404'- comment: LMFDB curve 2.2.17.1-26.3-a1 has conductor ideal $(3*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-a-1\right){x}-2a-3$.- '2':- number: '3.6915205971295533414961577927525702'- comment: LMFDB curve 2.2.17.1-26.3-a2 has conductor ideal $(3*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(229a-587\right){x}+2654a-6797$.- '3':- number: '3.6915205971295533414961577927525702'- comment: LMFDB curve 2.2.17.1-26.3-a3 has conductor ideal $(3*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(20a+32\right){x}-15a-24$.- '4':- number: '14.766082388518213365984631171010280'- comment: LMFDB curve 2.2.17.1-26.3-a4 has conductor ideal $(3*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-5a-8\right){x}$.- '5':- number: '14.766082388518213365984631171010280'- comment: LMFDB curve 2.2.17.1-26.3-a5 has conductor ideal $(3*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(14a-37\right){x}+39a-99$.- '6':- number: '14.766082388518213365984631171010280'- comment: LMFDB curve 2.2.17.1-26.3-a6 has conductor ideal $(3*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(10a-26\right){x}-25a+64$.- '7':- number: '14.766082388518213365984631171010280'- comment: LMFDB curve 2.2.17.1-26.3-a7 has conductor ideal $(3*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-139a-217\right){x}+1316a+2055$.- '8':- number: '7.3830411942591066829923155855051404'- comment: LMFDB curve 2.2.17.1-26.3-a8 has conductor ideal $(3*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(155a-406\right){x}-1582a+4044$.- '26.4':- a:- '1':- number: '6.5583885620110923210171124931825083'- comment: LMFDB curve 2.2.17.1-26.4-a1 has conductor ideal $(w-6)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(6a-10\right){x}+8a-25$.- '2':- number: '26.233554248044369284068449972730033'- comment: LMFDB curve 2.2.17.1-26.4-a2 has conductor ideal $(w-6)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+a{x}-1$.- '3':- number: '26.233554248044369284068449972730033'- comment: LMFDB curve 2.2.17.1-26.4-a3 has conductor ideal $(w-6)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-13a-19\right){x}+28a+43$.- '4':- number: '26.233554248044369284068449972730033'- comment: LMFDB curve 2.2.17.1-26.4-a4 has conductor ideal $(w-6)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(17a-43\right){x}-66a+169$.- '32.3':- a:- '1':- number: '3.8857831007688116673167024072515724'- comment: LMFDB curve 2.2.17.1-32.3-a1 has conductor ideal $(-2*w-6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-60a+146\right){x}+1782a-4567$.- '2':- number: '5.8286746511532175009750536108773586'- comment: LMFDB curve 2.2.17.1-32.3-a2 has conductor ideal $(-2*w-6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-4a-6\right){x}-16a-25$.- '3':- number: '1.9428915503844058336583512036257862'- comment: LMFDB curve 2.2.17.1-32.3-a3 has conductor ideal $(-2*w-6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(21a+29\right){x}+404a+627$.- '4':- number: '11.657349302306435001950107221754717'- comment: LMFDB curve 2.2.17.1-32.3-a4 has conductor ideal $(-2*w-6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(5a-19\right){x}-68a+171$.- '5':- number: '23.314698604612870003900214443509434'- comment: LMFDB curve 2.2.17.1-32.3-a5 has conductor ideal $(-2*w-6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}-2{x}-4a-5$.- '6':- number: '0.97144577519220291682917560181289310'- comment: LMFDB curve 2.2.17.1-32.3-a6 has conductor ideal $(-2*w-6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(6440a-16514\right){x}+410032a-1050341$.- '7':- number: '3.8857831007688116673167024072515724'- comment: LMFDB curve 2.2.17.1-32.3-a7 has conductor ideal $(-2*w-6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(400a-1034\right){x}+6672a-17093$.- '8':- number: '11.657349302306435001950107221754717'- comment: LMFDB curve 2.2.17.1-32.3-a8 has conductor ideal $(-2*w-6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(5a-19\right){x}+6a-19$.- '9':- number: '23.314698604612870003900214443509434'- comment: LMFDB curve 2.2.17.1-32.3-a9 has conductor ideal $(-2*w-6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-20a-62\right){x}+44a+139$.- '10':- number: '7.7715662015376233346334048145031448'- comment: LMFDB curve 2.2.17.1-32.3-a10 has conductor ideal $(-2*w-6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-145a-237\right){x}+1100a+1707$.- '11':- number: '2.9143373255766087504875268054386793'- comment: LMFDB curve 2.2.17.1-32.3-a11 has conductor ideal $(-2*w-6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(75a-209\right){x}+618a-1607$.- '12':- number: '7.7715662015376233346334048145031448'- comment: LMFDB curve 2.2.17.1-32.3-a12 has conductor ideal $(-2*w-6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-2385a-3757\right){x}+86220a+134699$.- '32.4':- a:- '1':- number: '1.9428915503844058336583512036257862'- comment: LMFDB curve 2.2.17.1-32.4-a1 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-23a+52\right){x}-405a+1032$.- '2':- number: '11.657349302306435001950107221754717'- comment: LMFDB curve 2.2.17.1-32.4-a2 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-7a-12\right){x}+67a+104$.- '3':- number: '3.8857831007688116673167024072515724'- comment: LMFDB curve 2.2.17.1-32.4-a3 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(58a+88\right){x}-1783a-2784$.- '4':- number: '5.8286746511532175009750536108773586'- comment: LMFDB curve 2.2.17.1-32.4-a4 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(2a-8\right){x}+15a-40$.- '5':- number: '11.657349302306435001950107221754717'- comment: LMFDB curve 2.2.17.1-32.4-a5 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-7a-12\right){x}-7a-12$.- '6':- number: '7.7715662015376233346334048145031448'- comment: LMFDB curve 2.2.17.1-32.4-a6 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(2388a-6147\right){x}-92365a+236610$.- '7':- number: '7.7715662015376233346334048145031448'- comment: LMFDB curve 2.2.17.1-32.4-a7 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(148a-387\right){x}-1485a+3778$.- '8':- number: '23.314698604612870003900214443509434'- comment: LMFDB curve 2.2.17.1-32.4-a8 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(3a-7\right){x}-a+2$.- '9':- number: '2.9143373255766087504875268054386793'- comment: LMFDB curve 2.2.17.1-32.4-a9 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-77a-132\right){x}-619a-988$.- '10':- number: '3.8857831007688116673167024072515724'- comment: LMFDB curve 2.2.17.1-32.4-a10 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-402a-632\right){x}-6673a-10420$.- '11':- number: '23.314698604612870003900214443509434'- comment: LMFDB curve 2.2.17.1-32.4-a11 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(23a-87\right){x}-129a+354$.- '12':- number: '0.97144577519220291682917560181289310'- comment: LMFDB curve 2.2.17.1-32.4-a12 has conductor ideal $(2*w-8)$, rank- $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-6442a-10072\right){x}-410033a-640308$.- '34.1':- a:- '1':- number: '23.308160723371857179104589981479732'- comment: LMFDB curve 2.2.17.1-34.1-a1 has conductor ideal $(3*w-10)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}-{x}^{2}-3{x}+85a-219$.- '2':- number: '2.5897956359302063532338433312755258'- comment: LMFDB curve 2.2.17.1-34.1-a2 has conductor ideal $(3*w-10)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(45a+71\right){x}+183a+285$.- '34.2':- a:- '1':- number: '2.5897956359302063532338433312755258'- comment: LMFDB curve 2.2.17.1-34.2-a1 has conductor ideal $(3*w+7)$, rank- $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-43a+117\right){x}-112a+290$.- '2':- number: '23.308160723371857179104589981479732'- comment: LMFDB curve 2.2.17.1-34.2-a2 has conductor ideal $(3*w+7)$, rank- $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-2a-2\right){x}-86a-134$.- '36.2':- a:- '1':- number: '7.6987665371845856866470985229441405'- comment: LMFDB curve 2.2.17.1-36.2-a1 has conductor ideal $(3*w)$, rank- $0$, and equation ${y}^2+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(2a+3\right){x}+10a+15$.- '36.1':- a:- '1':- number: '0.32483728598412977601967810433656373'- comment: LMFDB curve 2.2.17.1-36.1-a1 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(1914a-5087\right){x}+68090a-175221$.- '2':- number: '8.1209321496032444004919526084140934'- comment: LMFDB curve 2.2.17.1-36.1-a2 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(4a-7\right){x}+4a-13$.- '3':- number: '8.1209321496032444004919526084140934'- comment: LMFDB curve 2.2.17.1-36.1-a3 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-3a-3\right){x}-9a-11$.- '4':- number: '16.241864299206488800983905216828186'- comment: LMFDB curve 2.2.17.1-36.1-a4 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-174a-270\right){x}+1819a+2840$.- '5':- number: '0.64967457196825955203935620867312747'- comment: LMFDB curve 2.2.17.1-36.1-a5 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-19854a-31020\right){x}-2108519a-3292606$.- '6':- number: '16.241864299206488800983905216828186'- comment: LMFDB curve 2.2.17.1-36.1-a6 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-2734a-4270\right){x}+113851a+177784$.- '7':- number: '0.64967457196825955203935620867312747'- comment: LMFDB curve 2.2.17.1-36.1-a7 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-19694a-30770\right){x}-2145537a-3350412$.- '8':- number: '0.32483728598412977601967810433656373'- comment: LMFDB curve 2.2.17.1-36.1-a8 has conductor ideal $(6)$, rank $0$,- and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-1913a-3173\right){x}-70005a-110303$.- '36.3':- a:- '1':- number: '7.6987665371845856866470985229441405'- comment: LMFDB curve 2.2.17.1-36.3-a1 has conductor ideal $(3*w-3)$, rank- $0$, and equation ${y}^2+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+4{x}-10a+21$.- '38.1':- a:- '1':- number: '16.314546895013664966479225056034003'- comment: LMFDB curve 2.2.17.1-38.1-a1 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(a+3\right){x}+a+1$.- '2':- number: '1.8127274327792961073865805617815559'- comment: LMFDB curve 2.2.17.1-38.1-a2 has conductor ideal $(w+6)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(21a-47\right){x}+54a-135$.- '38.2':- a:- '1':- number: '31.073080620971144785282680425768322'- comment: LMFDB curve 2.2.17.1-38.2-a1 has conductor ideal $(-3*w+2)$, rank- $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(3a-7\right){x}-2a+5$.- '2':- number: '31.073080620971144785282680425768322'- comment: LMFDB curve 2.2.17.1-38.2-a2 has conductor ideal $(-3*w+2)$, rank- $1$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-4a-5\right){x}+a+1$.- '3':- number: '15.536540310485572392641340212884161'- comment: LMFDB curve 2.2.17.1-38.2-a3 has conductor ideal $(-3*w+2)$, rank- $1$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-5\right){x}+a-6$.- '4':- number: '15.536540310485572392641340212884161'- comment: LMFDB curve 2.2.17.1-38.2-a4 has conductor ideal $(-3*w+2)$, rank- $1$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-49a-75\right){x}+243a+379$.- '38.3':- a:- '1':- number: '15.536540310485572392641340212884161'- comment: LMFDB curve 2.2.17.1-38.3-a1 has conductor ideal $(3*w-1)$, rank- $1$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(48a-124\right){x}-244a+622$.- '2':- number: '31.073080620971144785282680425768322'- comment: LMFDB curve 2.2.17.1-38.3-a2 has conductor ideal $(3*w-1)$, rank- $1$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(3a-9\right){x}-2a+2$.- '3':- number: '31.073080620971144785282680425768322'- comment: LMFDB curve 2.2.17.1-38.3-a3 has conductor ideal $(3*w-1)$, rank- $1$, and equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(-3a-4\right){x}+2a+3$.- '4':- number: '15.536540310485572392641340212884161'- comment: LMFDB curve 2.2.17.1-38.3-a4 has conductor ideal $(3*w-1)$, rank- $1$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-2a-3\right){x}-2a-4$.- '38.4':- a:- '1':- number: '1.8127274327792961073865805617815559'- comment: LMFDB curve 2.2.17.1-38.4-a1 has conductor ideal $(w-7)$, rank- $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-19a-29\right){x}-103a-163$.- '2':- number: '16.314546895013664966479225056034003'- comment: LMFDB curve 2.2.17.1-38.4-a2 has conductor ideal $(w-7)$, rank- $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a+1\right){x}$.- '43.1':- a:- '1':- number: '6.8312904251152027244164700707668431'- comment: LMFDB curve 2.2.17.1-43.1-a1 has conductor ideal $(-4*w+7)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(8a+12\right){x}-26a-41$.- '2':- number: '27.325161700460810897665880283067372'- comment: LMFDB curve 2.2.17.1-43.1-a2 has conductor ideal $(-4*w+7)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-2a-3\right){x}$.- '3':- number: '54.650323400921621795331760566134745'- comment: LMFDB curve 2.2.17.1-43.1-a3 has conductor ideal $(-4*w+7)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(3a-7\right){x}-7a+18$.- '4':- number: '13.662580850230405448832940141533686'- comment: LMFDB curve 2.2.17.1-43.1-a4 has conductor ideal $(-4*w+7)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-a+7\right){x}-a+4$.- '43.2':- a:- '1':- number: '13.662580850230405448832940141533686'- comment: LMFDB curve 2.2.17.1-43.2-a1 has conductor ideal $(4*w+3)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(3a+4\right){x}-a-2$.- '2':- number: '27.325161700460810897665880283067372'- comment: LMFDB curve 2.2.17.1-43.2-a2 has conductor ideal $(4*w+3)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(4a-6\right){x}+3a-6$.- '3':- number: '6.8312904251152027244164700707668431'- comment: LMFDB curve 2.2.17.1-43.2-a3 has conductor ideal $(4*w+3)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-6a+19\right){x}+19a-48$.- '4':- number: '54.650323400921621795331760566134745'- comment: LMFDB curve 2.2.17.1-43.2-a4 has conductor ideal $(4*w+3)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(-3a-4\right){x}+7a+11$.- '47.1':- a:- '1':- number: '28.429745208095118018763580523484026'- comment: LMFDB curve 2.2.17.1-47.1-a1 has conductor ideal $(-2*w+9)$, rank- $1$, and equation ${y}^2+{y}={x}^{3}+\left(a-1\right){x}^{2}+{x}$.- '47.2':- a:- '1':- number: '28.429745208095118018763580523484026'- comment: LMFDB curve 2.2.17.1-47.2-a1 has conductor ideal $(2*w+7)$, rank- $1$, and equation ${y}^2+{y}={x}^{3}-a{x}^{2}+{x}$.- '50.1':- b:- '1':- number: '6.5289654835480120146201397607598891'- comment: LMFDB curve 2.2.17.1-50.1-b1 has conductor ideal $(-5*w+10)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+{x}^{2}+\left(6a-14\right){x}+13a-32$.- a:- '1':- number: '17.459105530408123266719111137755593'- comment: LMFDB curve 2.2.17.1-50.1-a1 has conductor ideal $(-5*w+10)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(14a-34\right){x}-24a+57$.- '2':- number: '1.0911940956505077041699444461097246'- comment: LMFDB curve 2.2.17.1-50.1-a2 has conductor ideal $(-5*w+10)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(111a-33\right){x}+97a-1131$.- '3':- number: '4.3647763826020308166797777844388984'- comment: LMFDB curve 2.2.17.1-50.1-a3 has conductor ideal $(-5*w+10)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-14a-33\right){x}-3a-31$.- '4':- number: '17.459105530408123266719111137755593'- comment: LMFDB curve 2.2.17.1-50.1-a4 has conductor ideal $(-5*w+10)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-9a-13\right){x}+27a+41$.- '5':- number: '1.0911940956505077041699444461097246'- comment: LMFDB curve 2.2.17.1-50.1-a5 has conductor ideal $(-5*w+10)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-219a-353\right){x}-2403a-3779$.- '6':- number: '17.459105530408123266719111137755593'- comment: LMFDB curve 2.2.17.1-50.1-a6 has conductor ideal $(-5*w+10)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-a+2\right){x}+7a-21$.- c:- '1':- number: '1.6377545422960274909199797508891036'- comment: LMFDB curve 2.2.17.1-50.1-c1 has conductor ideal $(-5*w+10)$, rank- $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-33a-52\right){x}-250a-391$.- '50.2':- a:- '1':- number: '1.0911940956505077041699444461097246'- comment: LMFDB curve 2.2.17.1-50.2-a1 has conductor ideal $(-5*w-5)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(218a-572\right){x}+2402a-6182$.- '2':- number: '17.459105530408123266719111137755593'- comment: LMFDB curve 2.2.17.1-50.2-a2 has conductor ideal $(-5*w-5)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+2a{x}-10a-14$.- '3':- number: '17.459105530408123266719111137755593'- comment: LMFDB curve 2.2.17.1-50.2-a3 has conductor ideal $(-5*w-5)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-13a-20\right){x}+9a+14$.- '4':- number: '17.459105530408123266719111137755593'- comment: LMFDB curve 2.2.17.1-50.2-a4 has conductor ideal $(-5*w-5)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(8a-22\right){x}-28a+68$.- '5':- number: '4.3647763826020308166797777844388984'- comment: LMFDB curve 2.2.17.1-50.2-a5 has conductor ideal $(-5*w-5)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(13a-47\right){x}+2a-34$.- '6':- number: '1.0911940956505077041699444461097246'- comment: LMFDB curve 2.2.17.1-50.2-a6 has conductor ideal $(-5*w-5)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-112a+78\right){x}-98a-1034$.- b:- '1':- number: '6.5289654835480120146201397607598891'- comment: LMFDB curve 2.2.17.1-50.2-b1 has conductor ideal $(-5*w-5)$, rank- $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-6a-8\right){x}-7a-11$.- c:- '1':- number: '1.6377545422960274909199797508891036'- comment: LMFDB curve 2.2.17.1-50.2-c1 has conductor ideal $(-5*w-5)$, rank- $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(37a-91\right){x}+160a-409$.- '52.3':- b:- '1':- number: '45.060840259265797091824272258690125'- comment: LMFDB curve 2.2.17.1-52.3-b1 has conductor ideal $(w+7)$, rank- $1$, and equation ${y}^2+\left(a+1\right){y}={x}^{3}+\left(-16a-25\right){x}+50a+78$.- a:- '1':- number: '1.2873560106115534530068741674792615'- comment: LMFDB curve 2.2.17.1-52.3-a1 has conductor ideal $(w+7)$, rank- $0$, and equation ${y}^2+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(301a-771\right){x}+4140a-10608$.- '2':- number: '11.586204095503981077061867507313353'- comment: LMFDB curve 2.2.17.1-52.3-a2 has conductor ideal $(w+7)$, rank- $0$, and equation ${y}^2+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-2a-3\right){x}-7a-11$.- '52.1':- b:- '1':- number: '1.6661844116218305808085330193543682'- comment: LMFDB curve 2.2.17.1-52.1-b1 has conductor ideal $(-4*w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(532a-1365\right){x}-3584a+9177$.- '2':- number: '14.995659704596475227276797174189314'- comment: LMFDB curve 2.2.17.1-52.1-b2 has conductor ideal $(-4*w+6)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(167a+263\right){x}+2745a+4287$.- '3':- number: '3.3323688232436611616170660387087365'- comment: LMFDB curve 2.2.17.1-52.1-b3 has conductor ideal $(-4*w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(22a-81\right){x}+113a-312$.- '4':- number: '29.991319409192950454553594348378628'- comment: LMFDB curve 2.2.17.1-52.1-b4 has conductor ideal $(-4*w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(27a-70\right){x}-99a+252$.- '5':- number: '14.995659704596475227276797174189314'- comment: LMFDB curve 2.2.17.1-52.1-b5 has conductor ideal $(-4*w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-2a-3\right){x}-5a-8$.- '6':- number: '3.3323688232436611616170660387087365'- comment: LMFDB curve 2.2.17.1-52.1-b6 has conductor ideal $(-4*w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(282a-725\right){x}+3796a-9727$.- '7':- number: '29.991319409192950454553594348378628'- comment: LMFDB curve 2.2.17.1-52.1-b7 has conductor ideal $(-4*w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-3a-6\right){x}+3a+4$.- '8':- number: '1.6661844116218305808085330193543682'- comment: LMFDB curve 2.2.17.1-52.1-b8 has conductor ideal $(-4*w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-197a-308\right){x}-2355a-3682$.- a:- '1':- number: '1.7329007617614521261225325639478986'- comment: LMFDB curve 2.2.17.1-52.1-a1 has conductor ideal $(-4*w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(31a-81\right){x}+1377a-3529$.- '2':- number: '15.596106855853069135102793075531087'- comment: LMFDB curve 2.2.17.1-52.1-a2 has conductor ideal $(-4*w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-4a+9\right){x}-51a+129$.- '3':- number: '31.192213711706138270205586151062175'- comment: LMFDB curve 2.2.17.1-52.1-a3 has conductor ideal $(-4*w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}-2{x}-a-1$.- '4':- number: '3.4658015235229042522450651278957972'- comment: LMFDB curve 2.2.17.1-52.1-a4 has conductor ideal $(-4*w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-5a-42\right){x}-20a-125$.- c:- '1':- number: '0.18650235464297657510790896969240795'- comment: LMFDB curve 2.2.17.1-52.1-c1 has conductor ideal $(-4*w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(5998a-15400\right){x}+359411a-920755$.- '2':- number: '9.1386153775058521802875395149279896'- comment: LMFDB curve 2.2.17.1-52.1-c2 has conductor ideal $(-4*w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-12a+30\right){x}-153a+389$.- '3':- number: '18.277230755011704360575079029855979'- comment: LMFDB curve 2.2.17.1-52.1-c3 has conductor ideal $(-4*w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-5a-13\right){x}+19a+33$.- '4':- number: '0.37300470928595315021581793938481590'- comment: LMFDB curve 2.2.17.1-52.1-c4 has conductor ideal $(-4*w+6)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-775a-3673\right){x}-26663a-89359$.- '52.2':- a:- '1':- number: '1.7329007617614521261225325639478986'- comment: LMFDB curve 2.2.17.1-52.2-a1 has conductor ideal $(4*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-32a-50\right){x}-1378a-2152$.- '2':- number: '15.596106855853069135102793075531087'- comment: LMFDB curve 2.2.17.1-52.2-a2 has conductor ideal $(4*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(3a+5\right){x}+50a+78$.- '3':- number: '31.192213711706138270205586151062175'- comment: LMFDB curve 2.2.17.1-52.2-a3 has conductor ideal $(4*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-a-1\right){x}-1$.- '4':- number: '3.4658015235229042522450651278957972'- comment: LMFDB curve 2.2.17.1-52.2-a4 has conductor ideal $(4*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(4a-46\right){x}+19a-144$.- b:- '1':- number: '1.6661844116218305808085330193543682'- comment: LMFDB curve 2.2.17.1-52.2-b1 has conductor ideal $(4*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(197a-505\right){x}+2355a-6037$.- '2':- number: '14.995659704596475227276797174189314'- comment: LMFDB curve 2.2.17.1-52.2-b2 has conductor ideal $(4*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(2a-5\right){x}+5a-13$.- '3':- number: '1.6661844116218305808085330193543682'- comment: LMFDB curve 2.2.17.1-52.2-b3 has conductor ideal $(4*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-533a-833\right){x}+3583a+5593$.- '4':- number: '29.991319409192950454553594348378628'- comment: LMFDB curve 2.2.17.1-52.2-b4 has conductor ideal $(4*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(2a-8\right){x}-4a+8$.- '5':- number: '29.991319409192950454553594348378628'- comment: LMFDB curve 2.2.17.1-52.2-b5 has conductor ideal $(4*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-28a-43\right){x}+98a+153$.- '6':- number: '3.3323688232436611616170660387087365'- comment: LMFDB curve 2.2.17.1-52.2-b6 has conductor ideal $(4*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-283a-443\right){x}-3797a-5931$.- '7':- number: '14.995659704596475227276797174189314'- comment: LMFDB curve 2.2.17.1-52.2-b7 has conductor ideal $(4*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(-167a+430\right){x}-2745a+7032$.- '8':- number: '3.3323688232436611616170660387087365'- comment: LMFDB curve 2.2.17.1-52.2-b8 has conductor ideal $(4*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-23a-58\right){x}-114a-198$.- c:- '1':- number: '0.18650235464297657510790896969240795'- comment: LMFDB curve 2.2.17.1-52.2-c1 has conductor ideal $(4*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-5999a-9401\right){x}-359412a-561343$.- '2':- number: '9.1386153775058521802875395149279896'- comment: LMFDB curve 2.2.17.1-52.2-c2 has conductor ideal $(4*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(11a+19\right){x}+152a+237$.- '3':- number: '18.277230755011704360575079029855979'- comment: LMFDB curve 2.2.17.1-52.2-c3 has conductor ideal $(4*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(6a-18\right){x}-15a+35$.- '4':- number: '0.37300470928595315021581793938481590'- comment: LMFDB curve 2.2.17.1-52.2-c4 has conductor ideal $(4*w+2)$, rank- $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(776a-4448\right){x}+27437a-120469$.- '52.6':- b:- '1':- number: '45.060840259265797091824272258690125'- comment: LMFDB curve 2.2.17.1-52.6-b1 has conductor ideal $(w-8)$, rank- $1$, and equation ${y}^2+a{y}={x}^{3}+\left(16a-41\right){x}-51a+129$.- a:- '1':- number: '1.2873560106115534530068741674792615'- comment: LMFDB curve 2.2.17.1-52.6-a1 has conductor ideal $(w-8)$, rank- $0$, and equation ${y}^2+a{y}={x}^{3}-{x}^{2}+\left(-301a-470\right){x}-4141a-6467$.- '2':- number: '11.586204095503981077061867507313353'- comment: LMFDB curve 2.2.17.1-52.6-a2 has conductor ideal $(w-8)$, rank- $0$, and equation ${y}^2+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(4a-6\right){x}+9a-23$.+ 4.1-a1:+ number: '2.5512619868368420218277732147808144'+ comment: LMFDB curve 2.2.17.1-4.1-a1 has conductor ideal $(2)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-9a+22\right){x}+106a-272$.+ 4.1-a2:+ number: '22.961357881531578196449958933027329'+ comment: LMFDB curve 2.2.17.1-4.1-a2 has conductor ideal $(2)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-2\right){x}+4a+6$.+ 4.1-a3:+ number: '2.5512619868368420218277732147808144'+ comment: LMFDB curve 2.2.17.1-4.1-a3 has conductor ideal $(2)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(9a+13\right){x}-106a-166$.+ 4.1-a4:+ number: '22.961357881531578196449958933027329'+ comment: LMFDB curve 2.2.17.1-4.1-a4 has conductor ideal $(2)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-3\right){x}-4a+10$.+ 4.1-a5:+ number: '45.922715763063156392899917866054659'+ comment: LMFDB curve 2.2.17.1-4.1-a5 has conductor ideal $(2)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}-2a{x}$.+ 4.1-a6:+ number: '2.5512619868368420218277732147808144'+ comment: LMFDB curve 2.2.17.1-4.1-a6 has conductor ideal $(2)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(981a-2517\right){x}+23628a-60528$.+ 4.1-a7:+ number: '5.1025239736736840436555464295616288'+ comment: LMFDB curve 2.2.17.1-4.1-a7 has conductor ideal $(2)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(61a-157\right){x}+348a-896$.+ 4.1-a8:+ number: '45.922715763063156392899917866054659'+ comment: LMFDB curve 2.2.17.1-4.1-a8 has conductor ideal $(2)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(a-2\right){x}-a$.+ 4.1-a9:+ number: '22.961357881531578196449958933027329'+ comment: LMFDB curve 2.2.17.1-4.1-a9 has conductor ideal $(2)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-12a-20\right){x}-28a-44$.+ 4.1-a10:+ number: '5.1025239736736840436555464295616288'+ comment: LMFDB curve 2.2.17.1-4.1-a10 has conductor ideal $(2)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-62a-95\right){x}-349a-547$.+ 4.1-a11:+ number: '22.961357881531578196449958933027329'+ comment: LMFDB curve 2.2.17.1-4.1-a11 has conductor ideal $(2)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(11a-32\right){x}+27a-72$.+ 4.1-a12:+ number: '2.5512619868368420218277732147808144'+ comment: LMFDB curve 2.2.17.1-4.1-a12 has conductor ideal $(2)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-982a-1535\right){x}-23629a-36899$.+ 8.3-a1:+ number: '12.690574342122364819155786846722745'+ comment: LMFDB curve 2.2.17.1-8.3-a1 has conductor ideal $(-w-3)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(4a+7\right){x}-34a-53$.+ 8.3-a2:+ number: '6.3452871710611824095778934233613728'+ comment: LMFDB curve 2.2.17.1-8.3-a2 has conductor ideal $(-w-3)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(80a+125\right){x}+1186a+1852$.+ 8.3-a3:+ number: '25.381148684244729638311573693445491'+ comment: LMFDB curve 2.2.17.1-8.3-a3 has conductor ideal $(-w-3)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(12a-37\right){x}+46a-121$.+ 8.3-a4:+ number: '25.381148684244729638311573693445491'+ comment: LMFDB curve 2.2.17.1-8.3-a4 has conductor ideal $(-w-3)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(a+3\right){x}$.+ 8.3-a5:+ number: '25.381148684244729638311573693445491'+ comment: LMFDB curve 2.2.17.1-8.3-a5 has conductor ideal $(-w-3)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-5a-8\right){x}+2a+3$.+ 8.3-a6:+ number: '12.690574342122364819155786846722745'+ comment: LMFDB curve 2.2.17.1-8.3-a6 has conductor ideal $(-w-3)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-4a-12\right){x}-29a-31$.+ 8.4-a1:+ number: '25.381148684244729638311573693445491'+ comment: LMFDB curve 2.2.17.1-8.4-a1 has conductor ideal $(w-4)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(3a-11\right){x}-3a+6$.+ 8.4-a2:+ number: '12.690574342122364819155786846722745'+ comment: LMFDB curve 2.2.17.1-8.4-a2 has conductor ideal $(w-4)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-6a+13\right){x}+33a-86$.+ 8.4-a3:+ number: '25.381148684244729638311573693445491'+ comment: LMFDB curve 2.2.17.1-8.4-a3 has conductor ideal $(w-4)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+2a{x}+a$.+ 8.4-a4:+ number: '25.381148684244729638311573693445491'+ comment: LMFDB curve 2.2.17.1-8.4-a4 has conductor ideal $(w-4)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-14a-23\right){x}-47a-74$.+ 8.4-a5:+ number: '12.690574342122364819155786846722745'+ comment: LMFDB curve 2.2.17.1-8.4-a5 has conductor ideal $(w-4)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(7a-20\right){x}+15a-40$.+ 8.4-a6:+ number: '6.3452871710611824095778934233613728'+ comment: LMFDB curve 2.2.17.1-8.4-a6 has conductor ideal $(w-4)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(-80a+205\right){x}-1186a+3038$.+ 9.1-b1:+ number: '0.80854775674369725141866352864990439'+ comment: LMFDB curve 2.2.17.1-9.1-b1 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+{y}={x}^{3}-a{x}^{2}+\left(795a-2035\right){x}+17928a-45924$.+ 9.1-b2:+ number: '20.213693918592431285466588216247609'+ comment: LMFDB curve 2.2.17.1-9.1-b2 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+{y}={x}^{3}-a{x}^{2}+\left(-5a+15\right){x}+2a-6$.+ 9.1-a1:+ number: '15.988921889123692524258642767346565'+ comment: LMFDB curve 2.2.17.1-9.1-a1 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(48a-123\right){x}+291a-749$.+ 9.1-a2:+ number: '15.988921889123692524258642767346565'+ comment: LMFDB curve 2.2.17.1-9.1-a2 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(32a-79\right){x}-131a+330$.+ 9.1-a3:+ number: '7.9944609445618462621293213836732827'+ comment: LMFDB curve 2.2.17.1-9.1-a3 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(58a+92\right){x}+322a+503$.+ 9.1-a4:+ number: '31.977843778247385048517285534693131'+ comment: LMFDB curve 2.2.17.1-9.1-a4 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-22a-33\right){x}+71a+111$.+ 9.1-a5:+ number: '31.977843778247385048517285534693131'+ comment: LMFDB curve 2.2.17.1-9.1-a5 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(2a-4\right){x}-2a+3$.+ 9.1-a6:+ number: '31.977843778247385048517285534693131'+ comment: LMFDB curve 2.2.17.1-9.1-a6 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-a-2\right){x}-1$.+ 9.1-a7:+ number: '15.988921889123692524258642767346565'+ comment: LMFDB curve 2.2.17.1-9.1-a7 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-49a-74\right){x}-292a-457$.+ 9.1-a8:+ number: '15.988921889123692524258642767346565'+ comment: LMFDB curve 2.2.17.1-9.1-a8 has conductor ideal $(3)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-31a-47\right){x}+99a+152$.+ 16.1-a1:+ number: '1.5183209502654180195762491193956925'+ comment: LMFDB curve 2.2.17.1-16.1-a1 has conductor ideal $(4)$, rank $0$, and+ equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-38a-77\right){x}-268a-444$.+ 16.1-a2:+ number: '13.664888552388762176186242074561232'+ comment: LMFDB curve 2.2.17.1-16.1-a2 has conductor ideal $(4)$, rank $0$, and+ equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(2a+3\right){x}$.+ 16.1-a3:+ number: '13.664888552388762176186242074561232'+ comment: LMFDB curve 2.2.17.1-16.1-a3 has conductor ideal $(4)$, rank $0$, and+ equation ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+4{x}+a-4$.+ 16.1-a4:+ number: '1.5183209502654180195762491193956925'+ comment: LMFDB curve 2.2.17.1-16.1-a4 has conductor ideal $(4)$, rank $0$, and+ equation ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(40a-116\right){x}+229a-596$.+ 16.4-a1:+ number: '9.2352306551808894159070003676336332'+ comment: LMFDB curve 2.2.17.1-16.4-a1 has conductor ideal $(w+4)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-a-3\right){x}-6a-10$.+ 16.4-a2:+ number: '18.470461310361778831814000735267266'+ comment: LMFDB curve 2.2.17.1-16.4-a2 has conductor ideal $(w+4)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}$.+ 16.4-a3:+ number: '36.940922620723557663628001470534532'+ comment: LMFDB curve 2.2.17.1-16.4-a3 has conductor ideal $(w+4)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-9a-15\right){x}-6a-10$.+ 16.4-a4:+ number: '18.470461310361778831814000735267266'+ comment: LMFDB curve 2.2.17.1-16.4-a4 has conductor ideal $(w+4)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+a{x}$.+ 16.4-a5:+ number: '36.940922620723557663628001470534532'+ comment: LMFDB curve 2.2.17.1-16.4-a5 has conductor ideal $(w+4)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-124a-195\right){x}+916a+1430$.+ 16.4-a6:+ number: '4.6176153275904447079535001838168166'+ comment: LMFDB curve 2.2.17.1-16.4-a6 has conductor ideal $(w+4)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}-4a{x}-5a-20$.+ 16.5-a1:+ number: '18.470461310361778831814000735267266'+ comment: LMFDB curve 2.2.17.1-16.5-a1 has conductor ideal $(-w+5)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}-2a{x}-a$.+ 16.5-a2:+ number: '4.6176153275904447079535001838168166'+ comment: LMFDB curve 2.2.17.1-16.5-a2 has conductor ideal $(-w+5)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(7a-2\right){x}+5a-5$.+ 16.5-a3:+ number: '18.470461310361778831814000735267266'+ comment: LMFDB curve 2.2.17.1-16.5-a3 has conductor ideal $(-w+5)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(2a+3\right){x}$.+ 16.5-a4:+ number: '36.940922620723557663628001470534532'+ comment: LMFDB curve 2.2.17.1-16.5-a4 has conductor ideal $(-w+5)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(12a-22\right){x}-7a+26$.+ 16.5-a5:+ number: '9.2352306551808894159070003676336332'+ comment: LMFDB curve 2.2.17.1-16.5-a5 has conductor ideal $(-w+5)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-a-4\right){x}+5a-16$.+ 16.5-a6:+ number: '36.940922620723557663628001470534532'+ comment: LMFDB curve 2.2.17.1-16.5-a6 has conductor ideal $(-w+5)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(127a-317\right){x}-1109a+2848$.+ 17.1-a1:+ number: '0.59836394096194868304712971345340286'+ comment: LMFDB curve 2.2.17.1-17.1-a1 has conductor ideal $(-2*w+1)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(330a-936\right){x}+4996a-13110$.+ 17.1-a2:+ number: '2.3934557638477947321885188538136114'+ comment: LMFDB curve 2.2.17.1-17.1-a2 has conductor ideal $(-2*w+1)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-{x}-14$.+ 17.1-a3:+ number: '38.295292221564715715016301661017783'+ comment: LMFDB curve 2.2.17.1-17.1-a3 has conductor ideal $(-2*w+1)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(6a+9\right){x}+4a+6$.+ 17.1-a4:+ number: '38.295292221564715715016301661017783'+ comment: LMFDB curve 2.2.17.1-17.1-a4 has conductor ideal $(-2*w+1)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-{x}$.+ 17.1-a5:+ number: '9.5738230553911789287540754152544457'+ comment: LMFDB curve 2.2.17.1-17.1-a5 has conductor ideal $(-2*w+1)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-6{x}-4$.+ 17.1-a6:+ number: '38.295292221564715715016301661017783'+ comment: LMFDB curve 2.2.17.1-17.1-a6 has conductor ideal $(-2*w+1)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-6a+15\right){x}-4a+10$.+ 17.1-a7:+ number: '2.3934557638477947321885188538136114'+ comment: LMFDB curve 2.2.17.1-17.1-a7 has conductor ideal $(-2*w+1)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-91{x}-310$.+ 17.1-a8:+ number: '0.59836394096194868304712971345340286'+ comment: LMFDB curve 2.2.17.1-17.1-a8 has conductor ideal $(-2*w+1)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-330a-606\right){x}-4996a-8114$.+ 18.1-a1:+ number: '1.6806398324074782732863300944642873'+ comment: LMFDB curve 2.2.17.1-18.1-a1 has conductor ideal $(-3*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(304a-779\right){x}+4017a-10293$.+ 18.1-a2:+ number: '26.890237318519652372581281511428598'+ comment: LMFDB curve 2.2.17.1-18.1-a2 has conductor ideal $(-3*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}-2a-3$.+ 18.1-a3:+ number: '26.890237318519652372581281511428598'+ comment: LMFDB curve 2.2.17.1-18.1-a3 has conductor ideal $(-3*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}-2a{x}+1$.+ 18.1-a4:+ number: '26.890237318519652372581281511428598'+ comment: LMFDB curve 2.2.17.1-18.1-a4 has conductor ideal $(-3*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(4a-9\right){x}-7a+17$.+ 18.1-a5:+ number: '6.7225593296299130931453203778571495'+ comment: LMFDB curve 2.2.17.1-18.1-a5 has conductor ideal $(-3*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(19a-49\right){x}+53a-139$.+ 18.1-a6:+ number: '1.6806398324074782732863300944642873'+ comment: LMFDB curve 2.2.17.1-18.1-a6 has conductor ideal $(-3*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-26a+41\right){x}+269a-769$.+ 18.2-a1:+ number: '1.6806398324074782732863300944642873'+ comment: LMFDB curve 2.2.17.1-18.2-a1 has conductor ideal $(-3*w-3)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(25a+15\right){x}-270a-500$.+ 18.2-a2:+ number: '26.890237318519652372581281511428598'+ comment: LMFDB curve 2.2.17.1-18.2-a2 has conductor ideal $(-3*w-3)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(a-1\right){x}-a+2$.+ 18.2-a3:+ number: '26.890237318519652372581281511428598'+ comment: LMFDB curve 2.2.17.1-18.2-a3 has conductor ideal $(-3*w-3)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-5a-5\right){x}+6a+10$.+ 18.2-a4:+ number: '6.7225593296299130931453203778571495'+ comment: LMFDB curve 2.2.17.1-18.2-a4 has conductor ideal $(-3*w-3)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-20a-30\right){x}-54a-86$.+ 18.2-a5:+ number: '26.890237318519652372581281511428598'+ comment: LMFDB curve 2.2.17.1-18.2-a5 has conductor ideal $(-3*w-3)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(-a+2\right){x}+2a-5$.+ 18.2-a6:+ number: '1.6806398324074782732863300944642873'+ comment: LMFDB curve 2.2.17.1-18.2-a6 has conductor ideal $(-3*w-3)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-305a-475\right){x}-4018a-6276$.+ 26.1-a1:+ number: '26.233554248044369284068449972730033'+ comment: LMFDB curve 2.2.17.1-26.1-a1 has conductor ideal $(w+5)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(13a-32\right){x}-28a+71$.+ 26.1-a2:+ number: '26.233554248044369284068449972730033'+ comment: LMFDB curve 2.2.17.1-26.1-a2 has conductor ideal $(w+5)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a+1\right){x}$.+ 26.1-a3:+ number: '26.233554248044369284068449972730033'+ comment: LMFDB curve 2.2.17.1-26.1-a3 has conductor ideal $(w+5)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-17a-26\right){x}+66a+103$.+ 26.1-a4:+ number: '6.5583885620110923210171124931825083'+ comment: LMFDB curve 2.2.17.1-26.1-a4 has conductor ideal $(w+5)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-4a-4\right){x}-13a-21$.+ 26.2-a1:+ number: '14.766082388518213365984631171010280'+ comment: LMFDB curve 2.2.17.1-26.2-a1 has conductor ideal $(-3*w+5)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(139a-356\right){x}-1316a+3371$.+ 26.2-a2:+ number: '7.3830411942591066829923155855051404'+ comment: LMFDB curve 2.2.17.1-26.2-a2 has conductor ideal $(-3*w+5)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(a-2\right){x}+2a-5$.+ 26.2-a3:+ number: '3.6915205971295533414961577927525702'+ comment: LMFDB curve 2.2.17.1-26.2-a3 has conductor ideal $(-3*w+5)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-20a+52\right){x}+15a-39$.+ 26.2-a4:+ number: '14.766082388518213365984631171010280'+ comment: LMFDB curve 2.2.17.1-26.2-a4 has conductor ideal $(-3*w+5)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(5a-13\right){x}$.+ 26.2-a5:+ number: '14.766082388518213365984631171010280'+ comment: LMFDB curve 2.2.17.1-26.2-a5 has conductor ideal $(-3*w+5)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-10a-16\right){x}+25a+39$.+ 26.2-a6:+ number: '14.766082388518213365984631171010280'+ comment: LMFDB curve 2.2.17.1-26.2-a6 has conductor ideal $(-3*w+5)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-14a-23\right){x}-39a-60$.+ 26.2-a7:+ number: '7.3830411942591066829923155855051404'+ comment: LMFDB curve 2.2.17.1-26.2-a7 has conductor ideal $(-3*w+5)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-155a-251\right){x}+1582a+2462$.+ 26.2-a8:+ number: '3.6915205971295533414961577927525702'+ comment: LMFDB curve 2.2.17.1-26.2-a8 has conductor ideal $(-3*w+5)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-229a-358\right){x}-2654a-4143$.+ 26.3-a1:+ number: '7.3830411942591066829923155855051404'+ comment: LMFDB curve 2.2.17.1-26.3-a1 has conductor ideal $(3*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-a-1\right){x}-2a-3$.+ 26.3-a2:+ number: '3.6915205971295533414961577927525702'+ comment: LMFDB curve 2.2.17.1-26.3-a2 has conductor ideal $(3*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(229a-587\right){x}+2654a-6797$.+ 26.3-a3:+ number: '3.6915205971295533414961577927525702'+ comment: LMFDB curve 2.2.17.1-26.3-a3 has conductor ideal $(3*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(20a+32\right){x}-15a-24$.+ 26.3-a4:+ number: '14.766082388518213365984631171010280'+ comment: LMFDB curve 2.2.17.1-26.3-a4 has conductor ideal $(3*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-5a-8\right){x}$.+ 26.3-a5:+ number: '14.766082388518213365984631171010280'+ comment: LMFDB curve 2.2.17.1-26.3-a5 has conductor ideal $(3*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(14a-37\right){x}+39a-99$.+ 26.3-a6:+ number: '14.766082388518213365984631171010280'+ comment: LMFDB curve 2.2.17.1-26.3-a6 has conductor ideal $(3*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(10a-26\right){x}-25a+64$.+ 26.3-a7:+ number: '14.766082388518213365984631171010280'+ comment: LMFDB curve 2.2.17.1-26.3-a7 has conductor ideal $(3*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-139a-217\right){x}+1316a+2055$.+ 26.3-a8:+ number: '7.3830411942591066829923155855051404'+ comment: LMFDB curve 2.2.17.1-26.3-a8 has conductor ideal $(3*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(155a-406\right){x}-1582a+4044$.+ 26.4-a1:+ number: '6.5583885620110923210171124931825083'+ comment: LMFDB curve 2.2.17.1-26.4-a1 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(6a-10\right){x}+8a-25$.+ 26.4-a2:+ number: '26.233554248044369284068449972730033'+ comment: LMFDB curve 2.2.17.1-26.4-a2 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+a{x}-1$.+ 26.4-a3:+ number: '26.233554248044369284068449972730033'+ comment: LMFDB curve 2.2.17.1-26.4-a3 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-13a-19\right){x}+28a+43$.+ 26.4-a4:+ number: '26.233554248044369284068449972730033'+ comment: LMFDB curve 2.2.17.1-26.4-a4 has conductor ideal $(w-6)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(17a-43\right){x}-66a+169$.+ 32.3-a1:+ number: '3.8857831007688116673167024072515724'+ comment: LMFDB curve 2.2.17.1-32.3-a1 has conductor ideal $(-2*w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-60a+146\right){x}+1782a-4567$.+ 32.3-a2:+ number: '5.8286746511532175009750536108773586'+ comment: LMFDB curve 2.2.17.1-32.3-a2 has conductor ideal $(-2*w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-4a-6\right){x}-16a-25$.+ 32.3-a3:+ number: '1.9428915503844058336583512036257862'+ comment: LMFDB curve 2.2.17.1-32.3-a3 has conductor ideal $(-2*w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(21a+29\right){x}+404a+627$.+ 32.3-a4:+ number: '11.657349302306435001950107221754717'+ comment: LMFDB curve 2.2.17.1-32.3-a4 has conductor ideal $(-2*w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(5a-19\right){x}-68a+171$.+ 32.3-a5:+ number: '23.314698604612870003900214443509434'+ comment: LMFDB curve 2.2.17.1-32.3-a5 has conductor ideal $(-2*w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}-2{x}-4a-5$.+ 32.3-a6:+ number: '0.97144577519220291682917560181289310'+ comment: LMFDB curve 2.2.17.1-32.3-a6 has conductor ideal $(-2*w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(6440a-16514\right){x}+410032a-1050341$.+ 32.3-a7:+ number: '3.8857831007688116673167024072515724'+ comment: LMFDB curve 2.2.17.1-32.3-a7 has conductor ideal $(-2*w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(400a-1034\right){x}+6672a-17093$.+ 32.3-a8:+ number: '11.657349302306435001950107221754717'+ comment: LMFDB curve 2.2.17.1-32.3-a8 has conductor ideal $(-2*w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(5a-19\right){x}+6a-19$.+ 32.3-a9:+ number: '23.314698604612870003900214443509434'+ comment: LMFDB curve 2.2.17.1-32.3-a9 has conductor ideal $(-2*w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-20a-62\right){x}+44a+139$.+ 32.3-a10:+ number: '7.7715662015376233346334048145031448'+ comment: LMFDB curve 2.2.17.1-32.3-a10 has conductor ideal $(-2*w-6)$, rank+ $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-145a-237\right){x}+1100a+1707$.+ 32.3-a11:+ number: '2.9143373255766087504875268054386793'+ comment: LMFDB curve 2.2.17.1-32.3-a11 has conductor ideal $(-2*w-6)$, rank+ $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(75a-209\right){x}+618a-1607$.+ 32.3-a12:+ number: '7.7715662015376233346334048145031448'+ comment: LMFDB curve 2.2.17.1-32.3-a12 has conductor ideal $(-2*w-6)$, rank+ $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-2385a-3757\right){x}+86220a+134699$.+ 32.4-a1:+ number: '1.9428915503844058336583512036257862'+ comment: LMFDB curve 2.2.17.1-32.4-a1 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-23a+52\right){x}-405a+1032$.+ 32.4-a2:+ number: '11.657349302306435001950107221754717'+ comment: LMFDB curve 2.2.17.1-32.4-a2 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-7a-12\right){x}+67a+104$.+ 32.4-a3:+ number: '3.8857831007688116673167024072515724'+ comment: LMFDB curve 2.2.17.1-32.4-a3 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(58a+88\right){x}-1783a-2784$.+ 32.4-a4:+ number: '5.8286746511532175009750536108773586'+ comment: LMFDB curve 2.2.17.1-32.4-a4 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(2a-8\right){x}+15a-40$.+ 32.4-a5:+ number: '11.657349302306435001950107221754717'+ comment: LMFDB curve 2.2.17.1-32.4-a5 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-7a-12\right){x}-7a-12$.+ 32.4-a6:+ number: '7.7715662015376233346334048145031448'+ comment: LMFDB curve 2.2.17.1-32.4-a6 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(2388a-6147\right){x}-92365a+236610$.+ 32.4-a7:+ number: '7.7715662015376233346334048145031448'+ comment: LMFDB curve 2.2.17.1-32.4-a7 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(148a-387\right){x}-1485a+3778$.+ 32.4-a8:+ number: '23.314698604612870003900214443509434'+ comment: LMFDB curve 2.2.17.1-32.4-a8 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(3a-7\right){x}-a+2$.+ 32.4-a9:+ number: '2.9143373255766087504875268054386793'+ comment: LMFDB curve 2.2.17.1-32.4-a9 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-77a-132\right){x}-619a-988$.+ 32.4-a10:+ number: '3.8857831007688116673167024072515724'+ comment: LMFDB curve 2.2.17.1-32.4-a10 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-402a-632\right){x}-6673a-10420$.+ 32.4-a11:+ number: '23.314698604612870003900214443509434'+ comment: LMFDB curve 2.2.17.1-32.4-a11 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(23a-87\right){x}-129a+354$.+ 32.4-a12:+ number: '0.97144577519220291682917560181289310'+ comment: LMFDB curve 2.2.17.1-32.4-a12 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-6442a-10072\right){x}-410033a-640308$.+ 34.1-a1:+ number: '23.308160723371857179104589981479732'+ comment: LMFDB curve 2.2.17.1-34.1-a1 has conductor ideal $(3*w-10)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}-{x}^{2}-3{x}+85a-219$.+ 34.1-a2:+ number: '2.5897956359302063532338433312755258'+ comment: LMFDB curve 2.2.17.1-34.1-a2 has conductor ideal $(3*w-10)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(45a+71\right){x}+183a+285$.+ 34.2-a1:+ number: '2.5897956359302063532338433312755258'+ comment: LMFDB curve 2.2.17.1-34.2-a1 has conductor ideal $(3*w+7)$, rank $0$,+ and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-43a+117\right){x}-112a+290$.+ 34.2-a2:+ number: '23.308160723371857179104589981479732'+ comment: LMFDB curve 2.2.17.1-34.2-a2 has conductor ideal $(3*w+7)$, rank $0$,+ and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-2a-2\right){x}-86a-134$.+ 36.2-a1:+ number: '7.6987665371845856866470985229441405'+ comment: LMFDB curve 2.2.17.1-36.2-a1 has conductor ideal $(3*w)$, rank $0$,+ and equation ${y}^2+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(2a+3\right){x}+10a+15$.+ 36.1-a1:+ number: '0.32483728598412977601967810433656373'+ comment: LMFDB curve 2.2.17.1-36.1-a1 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(1914a-5087\right){x}+68090a-175221$.+ 36.1-a2:+ number: '8.1209321496032444004919526084140934'+ comment: LMFDB curve 2.2.17.1-36.1-a2 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(4a-7\right){x}+4a-13$.+ 36.1-a3:+ number: '8.1209321496032444004919526084140934'+ comment: LMFDB curve 2.2.17.1-36.1-a3 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-3a-3\right){x}-9a-11$.+ 36.1-a4:+ number: '16.241864299206488800983905216828186'+ comment: LMFDB curve 2.2.17.1-36.1-a4 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-174a-270\right){x}+1819a+2840$.+ 36.1-a5:+ number: '0.64967457196825955203935620867312747'+ comment: LMFDB curve 2.2.17.1-36.1-a5 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-19854a-31020\right){x}-2108519a-3292606$.+ 36.1-a6:+ number: '16.241864299206488800983905216828186'+ comment: LMFDB curve 2.2.17.1-36.1-a6 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-2734a-4270\right){x}+113851a+177784$.+ 36.1-a7:+ number: '0.64967457196825955203935620867312747'+ comment: LMFDB curve 2.2.17.1-36.1-a7 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-19694a-30770\right){x}-2145537a-3350412$.+ 36.1-a8:+ number: '0.32483728598412977601967810433656373'+ comment: LMFDB curve 2.2.17.1-36.1-a8 has conductor ideal $(6)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-1913a-3173\right){x}-70005a-110303$.+ 36.3-a1:+ number: '7.6987665371845856866470985229441405'+ comment: LMFDB curve 2.2.17.1-36.3-a1 has conductor ideal $(3*w-3)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+4{x}-10a+21$.+ 38.1-a1:+ number: '16.314546895013664966479225056034003'+ comment: LMFDB curve 2.2.17.1-38.1-a1 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(a+3\right){x}+a+1$.+ 38.1-a2:+ number: '1.8127274327792961073865805617815559'+ comment: LMFDB curve 2.2.17.1-38.1-a2 has conductor ideal $(w+6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(21a-47\right){x}+54a-135$.+ 38.2-a1:+ number: '31.073080620971144785282680425768322'+ comment: LMFDB curve 2.2.17.1-38.2-a1 has conductor ideal $(-3*w+2)$, rank $1$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(3a-7\right){x}-2a+5$.+ 38.2-a2:+ number: '31.073080620971144785282680425768322'+ comment: LMFDB curve 2.2.17.1-38.2-a2 has conductor ideal $(-3*w+2)$, rank $1$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-4a-5\right){x}+a+1$.+ 38.2-a3:+ number: '15.536540310485572392641340212884161'+ comment: LMFDB curve 2.2.17.1-38.2-a3 has conductor ideal $(-3*w+2)$, rank $1$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-5\right){x}+a-6$.+ 38.2-a4:+ number: '15.536540310485572392641340212884161'+ comment: LMFDB curve 2.2.17.1-38.2-a4 has conductor ideal $(-3*w+2)$, rank $1$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-49a-75\right){x}+243a+379$.+ 38.3-a1:+ number: '15.536540310485572392641340212884161'+ comment: LMFDB curve 2.2.17.1-38.3-a1 has conductor ideal $(3*w-1)$, rank $1$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(48a-124\right){x}-244a+622$.+ 38.3-a2:+ number: '31.073080620971144785282680425768322'+ comment: LMFDB curve 2.2.17.1-38.3-a2 has conductor ideal $(3*w-1)$, rank $1$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(3a-9\right){x}-2a+2$.+ 38.3-a3:+ number: '31.073080620971144785282680425768322'+ comment: LMFDB curve 2.2.17.1-38.3-a3 has conductor ideal $(3*w-1)$, rank $1$,+ and equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(-3a-4\right){x}+2a+3$.+ 38.3-a4:+ number: '15.536540310485572392641340212884161'+ comment: LMFDB curve 2.2.17.1-38.3-a4 has conductor ideal $(3*w-1)$, rank $1$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-2a-3\right){x}-2a-4$.+ 38.4-a1:+ number: '1.8127274327792961073865805617815559'+ comment: LMFDB curve 2.2.17.1-38.4-a1 has conductor ideal $(w-7)$, rank $0$,+ and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-19a-29\right){x}-103a-163$.+ 38.4-a2:+ number: '16.314546895013664966479225056034003'+ comment: LMFDB curve 2.2.17.1-38.4-a2 has conductor ideal $(w-7)$, rank $0$,+ and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a+1\right){x}$.+ 43.1-a1:+ number: '6.8312904251152027244164700707668431'+ comment: LMFDB curve 2.2.17.1-43.1-a1 has conductor ideal $(-4*w+7)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(8a+12\right){x}-26a-41$.+ 43.1-a2:+ number: '27.325161700460810897665880283067372'+ comment: LMFDB curve 2.2.17.1-43.1-a2 has conductor ideal $(-4*w+7)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-2a-3\right){x}$.+ 43.1-a3:+ number: '54.650323400921621795331760566134745'+ comment: LMFDB curve 2.2.17.1-43.1-a3 has conductor ideal $(-4*w+7)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(3a-7\right){x}-7a+18$.+ 43.1-a4:+ number: '13.662580850230405448832940141533686'+ comment: LMFDB curve 2.2.17.1-43.1-a4 has conductor ideal $(-4*w+7)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-a+7\right){x}-a+4$.+ 43.2-a1:+ number: '13.662580850230405448832940141533686'+ comment: LMFDB curve 2.2.17.1-43.2-a1 has conductor ideal $(4*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(3a+4\right){x}-a-2$.+ 43.2-a2:+ number: '27.325161700460810897665880283067372'+ comment: LMFDB curve 2.2.17.1-43.2-a2 has conductor ideal $(4*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(4a-6\right){x}+3a-6$.+ 43.2-a3:+ number: '6.8312904251152027244164700707668431'+ comment: LMFDB curve 2.2.17.1-43.2-a3 has conductor ideal $(4*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-6a+19\right){x}+19a-48$.+ 43.2-a4:+ number: '54.650323400921621795331760566134745'+ comment: LMFDB curve 2.2.17.1-43.2-a4 has conductor ideal $(4*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(-3a-4\right){x}+7a+11$.+ 47.1-a1:+ number: '28.429745208095118018763580523484026'+ comment: LMFDB curve 2.2.17.1-47.1-a1 has conductor ideal $(-2*w+9)$, rank $1$,+ and equation ${y}^2+{y}={x}^{3}+\left(a-1\right){x}^{2}+{x}$.+ 47.2-a1:+ number: '28.429745208095118018763580523484026'+ comment: LMFDB curve 2.2.17.1-47.2-a1 has conductor ideal $(2*w+7)$, rank $1$,+ and equation ${y}^2+{y}={x}^{3}-a{x}^{2}+{x}$.+ 50.1-b1:+ number: '6.5289654835480120146201397607598891'+ comment: LMFDB curve 2.2.17.1-50.1-b1 has conductor ideal $(-5*w+10)$, rank+ $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+{x}^{2}+\left(6a-14\right){x}+13a-32$.+ 50.1-a1:+ number: '17.459105530408123266719111137755593'+ comment: LMFDB curve 2.2.17.1-50.1-a1 has conductor ideal $(-5*w+10)$, rank+ $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(14a-34\right){x}-24a+57$.+ 50.1-a2:+ number: '1.0911940956505077041699444461097246'+ comment: LMFDB curve 2.2.17.1-50.1-a2 has conductor ideal $(-5*w+10)$, rank+ $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(111a-33\right){x}+97a-1131$.+ 50.1-a3:+ number: '4.3647763826020308166797777844388984'+ comment: LMFDB curve 2.2.17.1-50.1-a3 has conductor ideal $(-5*w+10)$, rank+ $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-14a-33\right){x}-3a-31$.+ 50.1-a4:+ number: '17.459105530408123266719111137755593'+ comment: LMFDB curve 2.2.17.1-50.1-a4 has conductor ideal $(-5*w+10)$, rank+ $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-9a-13\right){x}+27a+41$.+ 50.1-a5:+ number: '1.0911940956505077041699444461097246'+ comment: LMFDB curve 2.2.17.1-50.1-a5 has conductor ideal $(-5*w+10)$, rank+ $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-219a-353\right){x}-2403a-3779$.+ 50.1-a6:+ number: '17.459105530408123266719111137755593'+ comment: LMFDB curve 2.2.17.1-50.1-a6 has conductor ideal $(-5*w+10)$, rank+ $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-a+2\right){x}+7a-21$.+ 50.1-c1:+ number: '1.6377545422960274909199797508891036'+ comment: LMFDB curve 2.2.17.1-50.1-c1 has conductor ideal $(-5*w+10)$, rank+ $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-33a-52\right){x}-250a-391$.+ 50.2-a1:+ number: '1.0911940956505077041699444461097246'+ comment: LMFDB curve 2.2.17.1-50.2-a1 has conductor ideal $(-5*w-5)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(218a-572\right){x}+2402a-6182$.+ 50.2-a2:+ number: '17.459105530408123266719111137755593'+ comment: LMFDB curve 2.2.17.1-50.2-a2 has conductor ideal $(-5*w-5)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+2a{x}-10a-14$.+ 50.2-a3:+ number: '17.459105530408123266719111137755593'+ comment: LMFDB curve 2.2.17.1-50.2-a3 has conductor ideal $(-5*w-5)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-13a-20\right){x}+9a+14$.+ 50.2-a4:+ number: '17.459105530408123266719111137755593'+ comment: LMFDB curve 2.2.17.1-50.2-a4 has conductor ideal $(-5*w-5)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(8a-22\right){x}-28a+68$.+ 50.2-a5:+ number: '4.3647763826020308166797777844388984'+ comment: LMFDB curve 2.2.17.1-50.2-a5 has conductor ideal $(-5*w-5)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(13a-47\right){x}+2a-34$.+ 50.2-a6:+ number: '1.0911940956505077041699444461097246'+ comment: LMFDB curve 2.2.17.1-50.2-a6 has conductor ideal $(-5*w-5)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-112a+78\right){x}-98a-1034$.+ 50.2-b1:+ number: '6.5289654835480120146201397607598891'+ comment: LMFDB curve 2.2.17.1-50.2-b1 has conductor ideal $(-5*w-5)$, rank $0$,+ and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-6a-8\right){x}-7a-11$.+ 50.2-c1:+ number: '1.6377545422960274909199797508891036'+ comment: LMFDB curve 2.2.17.1-50.2-c1 has conductor ideal $(-5*w-5)$, rank $0$,+ and equation ${y}^2+a{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(37a-91\right){x}+160a-409$.+ 52.3-b1:+ number: '45.060840259265797091824272258690125'+ comment: LMFDB curve 2.2.17.1-52.3-b1 has conductor ideal $(w+7)$, rank $1$,+ and equation ${y}^2+\left(a+1\right){y}={x}^{3}+\left(-16a-25\right){x}+50a+78$.+ 52.3-a1:+ number: '1.2873560106115534530068741674792615'+ comment: LMFDB curve 2.2.17.1-52.3-a1 has conductor ideal $(w+7)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(301a-771\right){x}+4140a-10608$.+ 52.3-a2:+ number: '11.586204095503981077061867507313353'+ comment: LMFDB curve 2.2.17.1-52.3-a2 has conductor ideal $(w+7)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-2a-3\right){x}-7a-11$.+ 52.1-b1:+ number: '1.6661844116218305808085330193543682'+ comment: LMFDB curve 2.2.17.1-52.1-b1 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(532a-1365\right){x}-3584a+9177$.+ 52.1-b2:+ number: '14.995659704596475227276797174189314'+ comment: LMFDB curve 2.2.17.1-52.1-b2 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(167a+263\right){x}+2745a+4287$.+ 52.1-b3:+ number: '3.3323688232436611616170660387087365'+ comment: LMFDB curve 2.2.17.1-52.1-b3 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(22a-81\right){x}+113a-312$.+ 52.1-b4:+ number: '29.991319409192950454553594348378628'+ comment: LMFDB curve 2.2.17.1-52.1-b4 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(27a-70\right){x}-99a+252$.+ 52.1-b5:+ number: '14.995659704596475227276797174189314'+ comment: LMFDB curve 2.2.17.1-52.1-b5 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-2a-3\right){x}-5a-8$.+ 52.1-b6:+ number: '3.3323688232436611616170660387087365'+ comment: LMFDB curve 2.2.17.1-52.1-b6 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(282a-725\right){x}+3796a-9727$.+ 52.1-b7:+ number: '29.991319409192950454553594348378628'+ comment: LMFDB curve 2.2.17.1-52.1-b7 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-3a-6\right){x}+3a+4$.+ 52.1-b8:+ number: '1.6661844116218305808085330193543682'+ comment: LMFDB curve 2.2.17.1-52.1-b8 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-197a-308\right){x}-2355a-3682$.+ 52.1-a1:+ number: '1.7329007617614521261225325639478986'+ comment: LMFDB curve 2.2.17.1-52.1-a1 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(31a-81\right){x}+1377a-3529$.+ 52.1-a2:+ number: '15.596106855853069135102793075531087'+ comment: LMFDB curve 2.2.17.1-52.1-a2 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-4a+9\right){x}-51a+129$.+ 52.1-a3:+ number: '31.192213711706138270205586151062175'+ comment: LMFDB curve 2.2.17.1-52.1-a3 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}-2{x}-a-1$.+ 52.1-a4:+ number: '3.4658015235229042522450651278957972'+ comment: LMFDB curve 2.2.17.1-52.1-a4 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-5a-42\right){x}-20a-125$.+ 52.1-c1:+ number: '0.18650235464297657510790896969240795'+ comment: LMFDB curve 2.2.17.1-52.1-c1 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(5998a-15400\right){x}+359411a-920755$.+ 52.1-c2:+ number: '9.1386153775058521802875395149279896'+ comment: LMFDB curve 2.2.17.1-52.1-c2 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-12a+30\right){x}-153a+389$.+ 52.1-c3:+ number: '18.277230755011704360575079029855979'+ comment: LMFDB curve 2.2.17.1-52.1-c3 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-5a-13\right){x}+19a+33$.+ 52.1-c4:+ number: '0.37300470928595315021581793938481590'+ comment: LMFDB curve 2.2.17.1-52.1-c4 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-775a-3673\right){x}-26663a-89359$.+ 52.2-a1:+ number: '1.7329007617614521261225325639478986'+ comment: LMFDB curve 2.2.17.1-52.2-a1 has conductor ideal $(4*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-32a-50\right){x}-1378a-2152$.+ 52.2-a2:+ number: '15.596106855853069135102793075531087'+ comment: LMFDB curve 2.2.17.1-52.2-a2 has conductor ideal $(4*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(3a+5\right){x}+50a+78$.+ 52.2-a3:+ number: '31.192213711706138270205586151062175'+ comment: LMFDB curve 2.2.17.1-52.2-a3 has conductor ideal $(4*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-a-1\right){x}-1$.+ 52.2-a4:+ number: '3.4658015235229042522450651278957972'+ comment: LMFDB curve 2.2.17.1-52.2-a4 has conductor ideal $(4*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(4a-46\right){x}+19a-144$.+ 52.2-b1:+ number: '1.6661844116218305808085330193543682'+ comment: LMFDB curve 2.2.17.1-52.2-b1 has conductor ideal $(4*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(197a-505\right){x}+2355a-6037$.+ 52.2-b2:+ number: '14.995659704596475227276797174189314'+ comment: LMFDB curve 2.2.17.1-52.2-b2 has conductor ideal $(4*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(2a-5\right){x}+5a-13$.+ 52.2-b3:+ number: '1.6661844116218305808085330193543682'+ comment: LMFDB curve 2.2.17.1-52.2-b3 has conductor ideal $(4*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-533a-833\right){x}+3583a+5593$.+ 52.2-b4:+ number: '29.991319409192950454553594348378628'+ comment: LMFDB curve 2.2.17.1-52.2-b4 has conductor ideal $(4*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(2a-8\right){x}-4a+8$.+ 52.2-b5:+ number: '29.991319409192950454553594348378628'+ comment: LMFDB curve 2.2.17.1-52.2-b5 has conductor ideal $(4*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-28a-43\right){x}+98a+153$.+ 52.2-b6:+ number: '3.3323688232436611616170660387087365'+ comment: LMFDB curve 2.2.17.1-52.2-b6 has conductor ideal $(4*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-283a-443\right){x}-3797a-5931$.+ 52.2-b7:+ number: '14.995659704596475227276797174189314'+ comment: LMFDB curve 2.2.17.1-52.2-b7 has conductor ideal $(4*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(-167a+430\right){x}-2745a+7032$.+ 52.2-b8:+ number: '3.3323688232436611616170660387087365'+ comment: LMFDB curve 2.2.17.1-52.2-b8 has conductor ideal $(4*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-23a-58\right){x}-114a-198$.+ 52.2-c1:+ number: '0.18650235464297657510790896969240795'+ comment: LMFDB curve 2.2.17.1-52.2-c1 has conductor ideal $(4*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-5999a-9401\right){x}-359412a-561343$.+ 52.2-c2:+ number: '9.1386153775058521802875395149279896'+ comment: LMFDB curve 2.2.17.1-52.2-c2 has conductor ideal $(4*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(11a+19\right){x}+152a+237$.+ 52.2-c3:+ number: '18.277230755011704360575079029855979'+ comment: LMFDB curve 2.2.17.1-52.2-c3 has conductor ideal $(4*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(6a-18\right){x}-15a+35$.+ 52.2-c4:+ number: '0.37300470928595315021581793938481590'+ comment: LMFDB curve 2.2.17.1-52.2-c4 has conductor ideal $(4*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(776a-4448\right){x}+27437a-120469$.+ 52.6-b1:+ number: '45.060840259265797091824272258690125'+ comment: LMFDB curve 2.2.17.1-52.6-b1 has conductor ideal $(w-8)$, rank $1$,+ and equation ${y}^2+a{y}={x}^{3}+\left(16a-41\right){x}-51a+129$.+ 52.6-a1:+ number: '1.2873560106115534530068741674792615'+ comment: LMFDB curve 2.2.17.1-52.6-a1 has conductor ideal $(w-8)$, rank $0$,+ and equation ${y}^2+a{y}={x}^{3}-{x}^{2}+\left(-301a-470\right){x}-4141a-6467$.+ 52.6-a2:+ number: '11.586204095503981077061867507313353'+ comment: LMFDB curve 2.2.17.1-52.6-a2 has conductor ideal $(w-8)$, rank $0$,+ and equation ${y}^2+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(4a-6\right){x}+9a-23$.
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