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quotient in CITE{formula-BSD} against the square integer $|\operatorname{Sha}(E/K)|$ recorded by ecnf-data for every stored source row.-Numbers: []+Numbers:+- params:+ D: '5'+ conductor: '31.1'+ class: a+ curve: '1'+ number: '51.508839712536626724604612731543070'+ comment: LMFDB curve 2.2.5.1-31.1-a1 has conductor ideal $(5*w-2)$, rank $0$, and+ equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+w{x}$.+- params:+ D: '5'+ conductor: '31.1'+ class: a+ curve: '2'+ number: '1.6096512410167695851438941478607209'+ comment: LMFDB curve 2.2.5.1-31.1-a2 has conductor ideal $(5*w-2)$, rank $0$, and+ equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(133w-141\right){x}+737w-764$.+- params:+ D: '5'+ conductor: '31.1'+ class: a+ curve: '3'+ number: '6.4386049640670783405755765914428837'+ comment: LMFDB curve 2.2.5.1-31.1-a3 has conductor ideal $(5*w-2)$, rank $0$, and+ equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-12w-21\right){x}+42w+10$.+- params:+ D: '5'+ conductor: '31.1'+ class: a+ curve: '4'+ number: '1.6096512410167695851438941478607209'+ comment: LMFDB curve 2.2.5.1-31.1-a4 has conductor ideal $(5*w-2)$, rank $0$, and+ equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(31w-75\right){x}+141w-303$.+- params:+ D: '5'+ conductor: '31.1'+ class: a+ curve: '5'+ number: '25.754419856268313362302306365771535'+ comment: LMFDB curve 2.2.5.1-31.1-a5 has conductor ideal $(5*w-2)$, rank $0$, and+ equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(w-5\right){x}+3w-5$.+- params:+ D: '5'+ conductor: '31.1'+ class: a+ curve: '6'+ number: '12.877209928134156681151153182885767'+ comment: LMFDB curve 2.2.5.1-31.1-a6 has conductor ideal $(5*w-2)$, rank $0$, and+ equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-18w+15\right){x}+171w-265$.+- params:+ D: '5'+ conductor: '31.2'+ class: a+ curve: '1'+ number: '1.6096512410167695851438941478607209'+ comment: LMFDB curve 2.2.5.1-31.2-a1 has conductor ideal $(5*w-3)$, rank $0$, and+ equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-30w-45\right){x}-111w-117$.+- params:+ D: '5'+ conductor: '31.2'+ class: a+ curve: '2'+ number: '12.877209928134156681151153182885767'+ comment: LMFDB curve 2.2.5.1-31.2-a2 has conductor ideal $(5*w-3)$, rank $0$, and+ equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(16w-2\right){x}-172w-94$.+- params:+ D: '5'+ conductor: '31.2'+ class: a+ curve: '3'+ number: '51.508839712536626724604612731543070'+ comment: LMFDB curve 2.2.5.1-31.2-a3 has conductor ideal $(5*w-3)$, rank $0$, and+ equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}$.+- params:+ D: '5'+ conductor: '31.2'+ class: a+ curve: '4'+ number: '25.754419856268313362302306365771535'+ comment: LMFDB curve 2.2.5.1-31.2-a4 has conductor ideal $(5*w-3)$, rank $0$, and+ equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}-5{x}-3w+3$.+- params:+ D: '5'+ conductor: '31.2'+ class: a+ curve: '5'+ number: '6.4386049640670783405755765914428837'+ comment: LMFDB curve 2.2.5.1-31.2-a5 has conductor ideal $(5*w-3)$, rank $0$, and+ equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(10w-32\right){x}-43w+53$.+- params:+ D: '5'+ conductor: '31.2'+ class: a+ curve: '6'+ number: '1.6096512410167695851438941478607209'+ comment: LMFDB curve 2.2.5.1-31.2-a6 has conductor ideal $(5*w-3)$, rank $0$, and+ equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-135w-7\right){x}-738w-26$.+- params:+ D: '5'+ conductor: '36.1'+ class: a+ curve: '1'+ number: '44.299621696875096561752925819698961'+ comment: LMFDB curve 2.2.5.1-36.1-a1 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+w{x}^{2}$.+- params:+ D: '5'+ conductor: '36.1'+ class: a+ curve: '2'+ number: '1.7719848678750038624701170327879584'+ comment: LMFDB curve 2.2.5.1-36.1-a2 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(-5w-5\right){x}-51w-37$.+- params:+ D: '5'+ conductor: '36.1'+ class: a+ curve: '3'+ number: '1.7719848678750038624701170327879584'+ comment: LMFDB curve 2.2.5.1-36.1-a3 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(165w-331\right){x}+1352w-2408$.+- params:+ D: '5'+ conductor: '36.1'+ class: a+ curve: '4'+ number: '44.299621696875096561752925819698961'+ comment: LMFDB curve 2.2.5.1-36.1-a4 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(10w-21\right){x}-31w+51$.+- params:+ D: '5'+ conductor: '41.1'+ class: a+ curve: '1'+ number: '46.260878468940992115535235203395846'+ comment: LMFDB curve 2.2.5.1-41.1-a1 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+w{y}={x}^{3}-w{x}^{2}$.+- params:+ D: '5'+ conductor: '41.1'+ class: a+ curve: '2'+ number: '0.94409956059063249215378031027338463'+ comment: LMFDB curve 2.2.5.1-41.1-a2 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+w{y}={x}^{3}-w{x}^{2}+\left(10w-40\right){x}+31w-113$.+- params:+ D: '5'+ conductor: '41.2'+ class: a+ curve: '1'+ number: '0.94409956059063249215378031027338463'+ comment: LMFDB curve 2.2.5.1-41.2-a1 has conductor ideal $(w-7)$, rank $0$, and+ equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-10w-30\right){x}-32w-82$.+- params:+ D: '5'+ conductor: '41.2'+ class: a+ curve: '2'+ number: '46.260878468940992115535235203395846'+ comment: LMFDB curve 2.2.5.1-41.2-a2 has conductor ideal $(w-7)$, rank $0$, and+ equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}-w$.+- params:+ D: '5'+ conductor: '45.1'+ class: a+ curve: '1'+ number: '0.12260555513695878593710348088219652'+ comment: LMFDB curve 2.2.5.1-45.1-a1 has conductor ideal $(-6*w+3)$, rank $0$, and+ equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-4364w-7739\right){x}-255406w-296465$.+- params:+ D: '5'+ conductor: '45.1'+ class: a+ curve: '2'+ number: '0.49042222054783514374841392352878611'+ comment: LMFDB curve 2.2.5.1-45.1-a2 has conductor ideal $(-6*w+3)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-110{x}-880$.+- params:+ D: '5'+ conductor: '45.1'+ class: a+ curve: '3'+ number: '31.387022115061449199898491105842311'+ comment: LMFDB curve 2.2.5.1-45.1-a3 has conductor ideal $(-6*w+3)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}$.+- params:+ D: '5'+ conductor: '45.1'+ class: a+ curve: '4'+ number: '1.9616888821913405749936556941151444'+ comment: LMFDB curve 2.2.5.1-45.1-a4 has conductor ideal $(-6*w+3)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+35{x}-28$.+- params:+ D: '5'+ conductor: '45.1'+ class: a+ curve: '5'+ number: '7.8467555287653622999746227764605778'+ comment: LMFDB curve 2.2.5.1-45.1-a5 has conductor ideal $(-6*w+3)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-10{x}-10$.+- params:+ D: '5'+ conductor: '45.1'+ class: a+ curve: '6'+ number: '31.387022115061449199898491105842311'+ comment: LMFDB curve 2.2.5.1-45.1-a6 has conductor ideal $(-6*w+3)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-5{x}+2$.+- params:+ D: '5'+ conductor: '45.1'+ class: a+ curve: '7'+ number: '1.9616888821913405749936556941151444'+ comment: LMFDB curve 2.2.5.1-45.1-a7 has conductor ideal $(-6*w+3)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-135{x}-660$.+- params:+ D: '5'+ conductor: '45.1'+ class: a+ curve: '8'+ number: '31.387022115061449199898491105842311'+ comment: LMFDB curve 2.2.5.1-45.1-a8 has conductor ideal $(-6*w+3)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-80{x}+242$.+- params:+ D: '5'+ conductor: '45.1'+ class: a+ curve: '9'+ number: '0.49042222054783514374841392352878611'+ comment: LMFDB curve 2.2.5.1-45.1-a9 has conductor ideal $(-6*w+3)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-2160{x}-39540$.+- params:+ D: '5'+ conductor: '45.1'+ class: a+ curve: '10'+ number: '0.12260555513695878593710348088219652'+ comment: LMFDB curve 2.2.5.1-45.1-a10 has conductor ideal $(-6*w+3)$, rank $0$,+ and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(4364w-12105\right){x}+243301w-535402$.+- params:+ D: '5'+ conductor: '49.1'+ class: a+ curve: '1'+ number: '1.0454481928634487527701685488301141'+ comment: LMFDB curve 2.2.5.1-49.1-a1 has conductor ideal $(7)$, rank $0$, and equation+ ${y}^2+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-30w-29\right){x}-102w-84$.+- params:+ D: '5'+ conductor: '49.1'+ class: a+ curve: '2'+ number: '26.136204821586218819254213720752854'+ comment: LMFDB curve 2.2.5.1-49.1-a2 has conductor ideal $(7)$, rank $0$, and equation+ ${y}^2+{y}={x}^{3}+w{x}^{2}+{x}$.+- params:+ D: '5'+ conductor: '55.1'+ class: a+ curve: '1'+ number: '19.867075744978321874989709057800649'+ comment: LMFDB curve 2.2.5.1-55.1-a1 has conductor ideal $(w+7)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(9w-25\right){x}-6w+44$.+- params:+ D: '5'+ conductor: '55.1'+ class: a+ curve: '2'+ number: '2.2074528605531468749988565619778499'+ comment: LMFDB curve 2.2.5.1-55.1-a2 has conductor ideal $(w+7)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+54w{x}-374w-198$.+- params:+ D: '5'+ conductor: '55.1'+ class: a+ curve: '3'+ number: '39.734151489956643749979418115601298'+ comment: LMFDB curve 2.2.5.1-55.1-a3 has conductor ideal $(w+7)$, rank $0$, and+ equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}-w$.+- params:+ D: '5'+ conductor: '55.1'+ class: a+ curve: '4'+ number: '4.4149057211062937499977131239556998'+ comment: LMFDB curve 2.2.5.1-55.1-a4 has conductor ideal $(w+7)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-21w-25\right){x}-54w-58$.+- params:+ D: '5'+ conductor: '55.1'+ class: a+ curve: '5'+ number: '2.2074528605531468749988565619778499'+ comment: LMFDB curve 2.2.5.1-55.1-a5 has conductor ideal $(w+7)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-16w-210\right){x}+1110w-534$.+- params:+ D: '5'+ conductor: '55.1'+ class: a+ curve: '6'+ number: '39.734151489956643749979418115601298'+ comment: LMFDB curve 2.2.5.1-55.1-a6 has conductor ideal $(w+7)$, rank $0$, and+ equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(4w-11\right){x}-9w+13$.+- params:+ D: '5'+ conductor: '55.1'+ class: a+ curve: '7'+ number: '4.4149057211062937499977131239556998'+ comment: LMFDB curve 2.2.5.1-55.1-a7 has conductor ideal $(w+7)$, rank $0$, and+ equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-6w-1\right){x}+w-17$.+- params:+ D: '5'+ conductor: '55.1'+ class: a+ curve: '8'+ number: '19.867075744978321874989709057800649'+ comment: LMFDB curve 2.2.5.1-55.1-a8 has conductor ideal $(w+7)$, rank $0$, and+ equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-6w-26\right){x}+28w+8$.+- params:+ D: '5'+ conductor: '55.2'+ class: a+ curve: '1'+ number: '39.734151489956643749979418115601298'+ comment: LMFDB curve 2.2.5.1-55.2-a1 has conductor ideal $(-w+8)$, rank $0$, and+ equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}-w{x}$.+- params:+ D: '5'+ conductor: '55.2'+ class: a+ curve: '2'+ number: '4.4149057211062937499977131239556998'+ comment: LMFDB curve 2.2.5.1-55.2-a2 has conductor ideal $(-w+8)$, rank $0$, and+ equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(4w-5\right){x}-2w-15$.+- params:+ D: '5'+ conductor: '55.2'+ class: a+ curve: '3'+ number: '19.867075744978321874989709057800649'+ comment: LMFDB curve 2.2.5.1-55.2-a3 has conductor ideal $(-w+8)$, rank $0$, and+ equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(4w-30\right){x}-29w+37$.+- params:+ D: '5'+ conductor: '55.2'+ class: a+ curve: '4'+ number: '2.2074528605531468749988565619778499'+ comment: LMFDB curve 2.2.5.1-55.2-a4 has conductor ideal $(-w+8)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(-54w+54\right){x}+374w-572$.+- params:+ D: '5'+ conductor: '55.2'+ class: a+ curve: '5'+ number: '4.4149057211062937499977131239556998'+ comment: LMFDB curve 2.2.5.1-55.2-a5 has conductor ideal $(-w+8)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(21w-46\right){x}+54w-112$.+- params:+ D: '5'+ conductor: '55.2'+ class: a+ curve: '6'+ number: '39.734151489956643749979418115601298'+ comment: LMFDB curve 2.2.5.1-55.2-a6 has conductor ideal $(-w+8)$, rank $0$, and+ equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-6w-5\right){x}+8w+5$.+- params:+ D: '5'+ conductor: '55.2'+ class: a+ curve: '7'+ number: '2.2074528605531468749988565619778499'+ comment: LMFDB curve 2.2.5.1-55.2-a7 has conductor ideal $(-w+8)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(16w-226\right){x}-1110w+576$.+- params:+ D: '5'+ conductor: '55.2'+ class: a+ curve: '8'+ number: '19.867075744978321874989709057800649'+ comment: LMFDB curve 2.2.5.1-55.2-a8 has conductor ideal $(-w+8)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(-9w-16\right){x}+6w+38$.+- params:+ D: '8'+ conductor: '9.1'+ class: a+ curve: '1'+ number: '1.2669233425030481074640018689656843'+ comment: LMFDB curve 2.2.8.1-9.1-a1 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-40a-60\right){x}-153a-220$.+- params:+ D: '8'+ conductor: '9.1'+ class: a+ curve: '2'+ number: '31.673083562576202686600046724142108'+ comment: LMFDB curve 2.2.8.1-9.1-a2 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}$.+- params:+ D: '8'+ conductor: '9.1'+ class: a+ curve: '3'+ number: '63.346167125152405373200093448284217'+ comment: LMFDB curve 2.2.8.1-9.1-a3 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-2a-3\right){x}$.+- params:+ D: '8'+ conductor: '9.1'+ class: a+ curve: '4'+ number: '2.5338466850060962149280037379313687'+ comment: LMFDB curve 2.2.8.1-9.1-a4 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-162a-243\right){x}-1495a-2130$.+- params:+ D: '8'+ conductor: '17.1'+ class: a+ curve: '1'+ number: '22.231615521354881834637139197812248'+ comment: LMFDB curve 2.2.8.1-17.1-a1 has conductor ideal $(-3*w-1)$, rank $0$, and+ equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2a+1\right){x}-a$.+- params:+ D: '8'+ conductor: '17.1'+ class: a+ curve: '2'+ number: '2.4701795023727646482930154664235831'+ comment: LMFDB curve 2.2.8.1-17.1-a2 has conductor ideal $(-3*w-1)$, rank $0$, and+ equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(13a-19\right){x}+47a-69$.+- params:+ D: '8'+ conductor: '17.1'+ class: a+ curve: '3'+ number: '4.9403590047455292965860309328471662'+ comment: LMFDB curve 2.2.8.1-17.1-a3 has conductor ideal $(-3*w-1)$, rank $0$, and+ equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-34a-53\right){x}-113a-163$.+- params:+ D: '8'+ conductor: '17.1'+ class: a+ curve: '4'+ number: '44.463231042709763669274278395624496'+ comment: LMFDB curve 2.2.8.1-17.1-a4 has conductor ideal $(-3*w-1)$, rank $0$, and+ equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a-1\right){x}-1$.+- params:+ D: '8'+ conductor: '17.2'+ class: a+ curve: '1'+ number: '2.4701795023727646482930154664235831'+ comment: LMFDB curve 2.2.8.1-17.2-a1 has conductor ideal $(3*w-1)$, rank $0$, and+ equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-14a-19\right){x}-48a-69$.+- params:+ D: '8'+ conductor: '17.2'+ class: a+ curve: '2'+ number: '22.231615521354881834637139197812248'+ comment: LMFDB curve 2.2.8.1-17.2-a2 has conductor ideal $(3*w-1)$, rank $0$, and+ equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a+1\right){x}$.+- params:+ D: '8'+ conductor: '17.2'+ class: a+ curve: '3'+ number: '44.463231042709763669274278395624496'+ comment: LMFDB curve 2.2.8.1-17.2-a3 has conductor ideal $(3*w-1)$, rank $0$, and+ equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2a-1\right){x}-a-1$.+- params:+ D: '8'+ conductor: '17.2'+ class: a+ curve: '4'+ number: '4.9403590047455292965860309328471662'+ comment: LMFDB curve 2.2.8.1-17.2-a4 has conductor ideal $(3*w-1)$, rank $0$, and+ equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(33a-53\right){x}+112a-163$.+- params:+ D: '8'+ conductor: '28.1'+ class: a+ curve: '1'+ number: '2.1554410537255203108024547071334435'+ comment: LMFDB curve 2.2.8.1-28.1-a1 has conductor ideal $(-4*w+2)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-9a-18\right){x}-320a-467$.+- params:+ D: '8'+ conductor: '28.1'+ class: a+ curve: '2'+ number: '19.398969483529682797222092364200991'+ comment: LMFDB curve 2.2.8.1-28.1-a2 has conductor ideal $(-4*w+2)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(a+2\right){x}+12a+17$.+- params:+ D: '8'+ conductor: '28.1'+ class: a+ curve: '3'+ number: '2.1554410537255203108024547071334435'+ comment: LMFDB curve 2.2.8.1-28.1-a3 has conductor ideal $(-4*w+2)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-19a-148\right){x}+318a-201$.+- params:+ D: '8'+ conductor: '28.1'+ class: a+ curve: '4'+ number: '19.398969483529682797222092364200991'+ comment: LMFDB curve 2.2.8.1-28.1-a4 has conductor ideal $(-4*w+2)$, rank $0$, and+ equation ${y}^2={x}^{3}-{x}^{2}+\left(-2a+3\right){x}$.+- params:+ D: '8'+ conductor: '28.1'+ class: a+ curve: '5'+ number: '38.797938967059365594444184728401983'+ comment: LMFDB curve 2.2.8.1-28.1-a5 has conductor ideal $(-4*w+2)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(2a-4\right){x}-a+1$.+- params:+ D: '8'+ conductor: '28.1'+ class: a+ curve: '6'+ number: '4.3108821074510406216049094142668870'+ comment: LMFDB curve 2.2.8.1-28.1-a6 has conductor ideal $(-4*w+2)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-34a-53\right){x}-133a-203$.+- params:+ D: '8'+ conductor: '28.1'+ class: a+ curve: '7'+ number: '19.398969483529682797222092364200991'+ comment: LMFDB curve 2.2.8.1-28.1-a7 has conductor ideal $(-4*w+2)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(17a-29\right){x}+49a-66$.+- params:+ D: '8'+ conductor: '28.1'+ class: a+ curve: '8'+ number: '2.1554410537255203108024547071334435'+ comment: LMFDB curve 2.2.8.1-28.1-a8 has conductor ideal $(-4*w+2)$, rank $0$, and+ equation ${y}^2={x}^{3}-{x}^{2}+\left(18a-37\right){x}+68a-108$.+- params:+ D: '8'+ conductor: '28.2'+ class: a+ curve: '1'+ number: '2.1554410537255203108024547071334435'+ comment: LMFDB curve 2.2.8.1-28.2-a1 has conductor ideal $(4*w+2)$, rank $0$, and+ equation ${y}^2={x}^{3}-{x}^{2}+\left(-18a-37\right){x}-68a-108$.+- params:+ D: '8'+ conductor: '28.2'+ class: a+ curve: '2'+ number: '19.398969483529682797222092364200991'+ comment: LMFDB curve 2.2.8.1-28.2-a2 has conductor ideal $(4*w+2)$, rank $0$, and+ equation ${y}^2={x}^{3}-{x}^{2}+\left(2a+3\right){x}$.+- params:+ D: '8'+ conductor: '28.2'+ class: a+ curve: '3'+ number: '38.797938967059365594444184728401983'+ comment: LMFDB curve 2.2.8.1-28.2-a3 has conductor ideal $(4*w+2)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-2a-4\right){x}+a+1$.+- params:+ D: '8'+ conductor: '28.2'+ class: a+ curve: '4'+ number: '2.1554410537255203108024547071334435'+ comment: LMFDB curve 2.2.8.1-28.2-a4 has conductor ideal $(4*w+2)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(9a-18\right){x}+320a-467$.+- params:+ D: '8'+ conductor: '28.2'+ class: a+ curve: '5'+ number: '19.398969483529682797222092364200991'+ comment: LMFDB curve 2.2.8.1-28.2-a5 has conductor ideal $(4*w+2)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-17a-29\right){x}-49a-66$.+- params:+ D: '8'+ conductor: '28.2'+ class: a+ curve: '6'+ number: '19.398969483529682797222092364200991'+ comment: LMFDB curve 2.2.8.1-28.2-a6 has conductor ideal $(4*w+2)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-a+2\right){x}-12a+17$.+- params:+ D: '8'+ conductor: '28.2'+ class: a+ curve: '7'+ number: '4.3108821074510406216049094142668870'+ comment: LMFDB curve 2.2.8.1-28.2-a7 has conductor ideal $(4*w+2)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(34a-53\right){x}+133a-203$.+- params:+ D: '8'+ conductor: '28.2'+ class: a+ curve: '8'+ number: '2.1554410537255203108024547071334435'+ comment: LMFDB curve 2.2.8.1-28.2-a8 has conductor ideal $(4*w+2)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(19a-148\right){x}-318a-201$.+- params:+ D: '8'+ conductor: '31.1'+ class: a+ curve: '1'+ number: '2.5444544631482462736726367690884578'+ comment: LMFDB curve 2.2.8.1-31.1-a1 has conductor ideal $(-4*w-1)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-7a-21\right){x}-31a-52$.+- params:+ D: '8'+ conductor: '31.1'+ class: a+ curve: '2'+ number: '20.355635705185970189381094152707662'+ comment: LMFDB curve 2.2.8.1-31.1-a2 has conductor ideal $(-4*w-1)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-2a-1\right){x}-a-2$.+- params:+ D: '8'+ conductor: '31.1'+ class: a+ curve: '3'+ number: '10.177817852592985094690547076353831'+ comment: LMFDB curve 2.2.8.1-31.1-a3 has conductor ideal $(-4*w-1)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(10a-14\right){x}+21a-30$.+- params:+ D: '8'+ conductor: '31.1'+ class: a+ curve: '4'+ number: '5.0889089262964925473452735381769157'+ comment: LMFDB curve 2.2.8.1-31.1-a4 has conductor ideal $(-4*w-1)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(25a-49\right){x}-79a+100$.+- params:+ D: '8'+ conductor: '31.2'+ class: a+ curve: '1'+ number: '20.355635705185970189381094152707662'+ comment: LMFDB curve 2.2.8.1-31.2-a1 has conductor ideal $(4*w-1)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}$.+- params:+ D: '8'+ conductor: '31.2'+ class: a+ curve: '2'+ number: '5.0889089262964925473452735381769157'+ comment: LMFDB curve 2.2.8.1-31.2-a2 has conductor ideal $(4*w-1)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-25a-49\right){x}+79a+100$.+- params:+ D: '8'+ conductor: '31.2'+ class: a+ curve: '3'+ number: '10.177817852592985094690547076353831'+ comment: LMFDB curve 2.2.8.1-31.2-a3 has conductor ideal $(4*w-1)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-10a-14\right){x}-21a-30$.+- params:+ D: '8'+ conductor: '31.2'+ class: a+ curve: '4'+ number: '2.5444544631482462736726367690884578'+ comment: LMFDB curve 2.2.8.1-31.2-a4 has conductor ideal $(4*w-1)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(5a-20\right){x}+10a-40$.+- params:+ D: '8'+ conductor: '32.1'+ class: a+ curve: '1'+ number: '3.4375929090101864137450478899052785'+ comment: LMFDB curve 2.2.8.1-32.1-a1 has conductor ideal $(4*w)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(15a-22\right){x}+46a-69$.+- params:+ D: '8'+ conductor: '32.1'+ class: a+ curve: '2'+ number: '27.500743272081491309960383119242228'+ comment: LMFDB curve 2.2.8.1-32.1-a2 has conductor ideal $(4*w)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(15a-23\right){x}-31a+46$.+- params:+ D: '8'+ conductor: '32.1'+ class: a+ curve: '3'+ number: '13.750371636040745654980191559621114'+ comment: LMFDB curve 2.2.8.1-32.1-a3 has conductor ideal $(4*w)$, rank $0$, and+ equation ${y}^2={x}^{3}+{x}$.+- params:+ D: '8'+ conductor: '32.1'+ class: a+ curve: '4'+ number: '27.500743272081491309960383119242228'+ comment: LMFDB curve 2.2.8.1-32.1-a4 has conductor ideal $(4*w)$, rank $0$, and+ equation ${y}^2={x}^{3}-{x}$.+- params:+ D: '8'+ conductor: '32.1'+ class: a+ curve: '5'+ number: '13.750371636040745654980191559621114'+ comment: LMFDB curve 2.2.8.1-32.1-a5 has conductor ideal $(4*w)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+{x}^{2}-2{x}-3$.+- params:+ D: '8'+ conductor: '32.1'+ class: a+ curve: '6'+ number: '55.001486544162982619920766238484457'+ comment: LMFDB curve 2.2.8.1-32.1-a6 has conductor ideal $(4*w)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-3{x}$.+- params:+ D: '8'+ conductor: '32.1'+ class: a+ curve: '7'+ number: '3.4375929090101864137450478899052785'+ comment: LMFDB curve 2.2.8.1-32.1-a7 has conductor ideal $(4*w)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(-15a-22\right){x}-46a-69$.+- params:+ D: '8'+ conductor: '32.1'+ class: a+ curve: '8'+ number: '27.500743272081491309960383119242228'+ comment: LMFDB curve 2.2.8.1-32.1-a8 has conductor ideal $(4*w)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-15a-23\right){x}+31a+46$.+- params:+ D: '8'+ conductor: '34.1'+ class: a+ curve: '1'+ number: '2.7900557341314586069760993720856243'+ comment: LMFDB curve 2.2.8.1-34.1-a1 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-16a+19\right){x}-25a+31$.+- params:+ D: '8'+ conductor: '34.1'+ class: a+ curve: '2'+ number: '25.110501607183127462784894348770619'+ comment: LMFDB curve 2.2.8.1-34.1-a2 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(2a+4\right){x}$.+- params:+ D: '8'+ conductor: '34.1'+ class: a+ curve: '3'+ number: '25.110501607183127462784894348770619'+ comment: LMFDB curve 2.2.8.1-34.1-a3 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-8a-16\right){x}-10a-4$.+- params:+ D: '8'+ conductor: '34.1'+ class: a+ curve: '4'+ number: '2.7900557341314586069760993720856243'+ comment: LMFDB curve 2.2.8.1-34.1-a4 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(64a-141\right){x}-457a+479$.+- params:+ D: '8'+ conductor: '34.2'+ class: a+ curve: '1'+ number: '25.110501607183127462784894348770619'+ comment: LMFDB curve 2.2.8.1-34.2-a1 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-2a+4\right){x}$.+- params:+ D: '8'+ conductor: '34.2'+ class: a+ curve: '2'+ number: '2.7900557341314586069760993720856243'+ comment: LMFDB curve 2.2.8.1-34.2-a2 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(15a+20\right){x}+44a+62$.+- params:+ D: '8'+ conductor: '34.2'+ class: a+ curve: '3'+ number: '2.7900557341314586069760993720856243'+ comment: LMFDB curve 2.2.8.1-34.2-a3 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-65a-140\right){x}+316a+350$.+- params:+ D: '8'+ conductor: '34.2'+ class: a+ curve: '4'+ number: '25.110501607183127462784894348770619'+ comment: LMFDB curve 2.2.8.1-34.2-a4 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(8a-16\right){x}+10a-4$.+- params:+ D: '8'+ conductor: '46.1'+ class: a+ curve: '1'+ number: '1.5824147965010857401360207618055234'+ comment: LMFDB curve 2.2.8.1-46.1-a1 has conductor ideal $(-5*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(15a-24\right){x}+46a-66$.+- params:+ D: '8'+ conductor: '46.1'+ class: a+ curve: '2'+ number: '14.241733168509771661224186856249711'+ comment: LMFDB curve 2.2.8.1-46.1-a2 has conductor ideal $(-5*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+{x}-1$.+- params:+ D: '8'+ conductor: '46.1'+ class: b+ curve: '1'+ number: '0.22978045425775758037411263811389772'+ comment: LMFDB curve 2.2.8.1-46.1-b1 has conductor ideal $(-5*w+2)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(-947a-1473\right){x}-20242a-29187$.+- params:+ D: '8'+ conductor: '46.1'+ class: b+ curve: '2'+ number: '27.803434965188667225267629211781624'+ comment: LMFDB curve 2.2.8.1-46.1-b2 has conductor ideal $(-5*w+2)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(-2a-3\right){x}+2a+3$.+- params:+ D: '8'+ conductor: '46.2'+ class: a+ curve: '1'+ number: '1.5824147965010857401360207618055234'+ comment: LMFDB curve 2.2.8.1-46.2-a1 has conductor ideal $(-5*w-2)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-16a-24\right){x}-46a-66$.+- params:+ D: '8'+ conductor: '46.2'+ class: a+ curve: '2'+ number: '14.241733168509771661224186856249711'+ comment: LMFDB curve 2.2.8.1-46.2-a2 has conductor ideal $(-5*w-2)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-a+1\right){x}-1$.+- params:+ D: '8'+ conductor: '46.2'+ class: b+ curve: '1'+ number: '0.22978045425775758037411263811389772'+ comment: LMFDB curve 2.2.8.1-46.2-b1 has conductor ideal $(-5*w-2)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(946a-1473\right){x}+20242a-29187$.+- params:+ D: '8'+ conductor: '46.2'+ class: b+ curve: '2'+ number: '27.803434965188667225267629211781624'+ comment: LMFDB curve 2.2.8.1-46.2-b2 has conductor ideal $(-5*w-2)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(a-3\right){x}-2a+3$.+- params:+ D: '8'+ conductor: '47.1'+ class: a+ curve: '1'+ number: '4.8753677953431512709097668788005396'+ comment: LMFDB curve 2.2.8.1-47.1-a1 has conductor ideal $(w+7)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-2{x}-18a-27$.+- params:+ D: '8'+ conductor: '47.1'+ class: a+ curve: '2'+ number: '9.7507355906863025418195337576010792'+ comment: LMFDB curve 2.2.8.1-47.1-a2 has conductor ideal $(w+7)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-3\right){x}+a-3$.+- params:+ D: '8'+ conductor: '47.2'+ class: a+ curve: '1'+ number: '9.7507355906863025418195337576010792'+ comment: LMFDB curve 2.2.8.1-47.2-a1 has conductor ideal $(w-7)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-2a-3\right){x}-2a-3$.+- params:+ D: '8'+ conductor: '47.2'+ class: a+ curve: '2'+ number: '4.8753677953431512709097668788005396'+ comment: LMFDB curve 2.2.8.1-47.2-a2 has conductor ideal $(w-7)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-a-2\right){x}+18a-27$.+- params:+ D: '8'+ conductor: '49.1'+ class: a+ curve: '1'+ number: '0.41998310952187457226066668680647274'+ comment: LMFDB curve 2.2.8.1-49.1-a1 has conductor ideal $(7)$, rank $0$, and equation+ ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(389a-919\right){x}+7231a-12956$.+- params:+ D: '8'+ conductor: '49.1'+ class: a+ curve: '2'+ number: '3.7798479856968711503460001812582546'+ comment: LMFDB curve 2.2.8.1-49.1-a2 has conductor ideal $(7)$, rank $0$, and equation+ ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(4a-9\right){x}+14a-27$.+- params:+ D: '8'+ conductor: '49.1'+ class: a+ curve: '3'+ number: '34.018631871271840353114001631324292'+ comment: LMFDB curve 2.2.8.1-49.1-a3 has conductor ideal $(7)$, rank $0$, and equation+ ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-a+1\right){x}$.+- params:+ D: '8'+ conductor: '49.1'+ class: a+ curve: '4'+ number: '34.018631871271840353114001631324292'+ comment: LMFDB curve 2.2.8.1-49.1-a4 has conductor ideal $(7)$, rank $0$, and equation+ ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+{x}$.+- params:+ D: '8'+ conductor: '49.1'+ class: a+ curve: '5'+ number: '3.7798479856968711503460001812582546'+ comment: LMFDB curve 2.2.8.1-49.1-a5 has conductor ideal $(7)$, rank $0$, and equation+ ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-5a-9\right){x}-14a-27$.+- params:+ D: '8'+ conductor: '49.1'+ class: a+ curve: '6'+ number: '0.41998310952187457226066668680647274'+ comment: LMFDB curve 2.2.8.1-49.1-a6 has conductor ideal $(7)$, rank $0$, and equation+ ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-390a-919\right){x}-7231a-12956$.+- params:+ D: '8'+ conductor: '56.1'+ class: a+ curve: '1'+ number: '34.035364315245701419198126513139214'+ comment: LMFDB curve 2.2.8.1-56.1-a1 has conductor ideal $(2*w+8)$, rank $0$, and+ equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(2a-1\right){x}-a+2$.+- params:+ D: '8'+ conductor: '56.1'+ class: a+ curve: '2'+ number: '2.1272102697028563386998829070712009'+ comment: LMFDB curve 2.2.8.1-56.1-a2 has conductor ideal $(2*w+8)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(105a+134\right){x}-86a-139$.+- params:+ D: '8'+ conductor: '56.1'+ class: a+ curve: '3'+ number: '8.5088410788114253547995316282848036'+ comment: LMFDB curve 2.2.8.1-56.1-a3 has conductor ideal $(2*w+8)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(10a-17\right){x}+31a-44$.+- params:+ D: '8'+ conductor: '56.1'+ class: a+ curve: '4'+ number: '34.035364315245701419198126513139214'+ comment: LMFDB curve 2.2.8.1-56.1-a4 has conductor ideal $(2*w+8)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}-2{x}+a-1$.+- params:+ D: '8'+ conductor: '56.1'+ class: a+ curve: '5'+ number: '2.1272102697028563386998829070712009'+ comment: LMFDB curve 2.2.8.1-56.1-a5 has conductor ideal $(2*w+8)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}-27{x}+21a-74$.+- params:+ D: '8'+ conductor: '56.1'+ class: a+ curve: '6'+ number: '17.017682157622850709599063256569607'+ comment: LMFDB curve 2.2.8.1-56.1-a6 has conductor ideal $(2*w+8)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-10a-7\right){x}+15a+20$.+- params:+ D: '8'+ conductor: '56.2'+ class: a+ curve: '1'+ number: '2.1272102697028563386998829070712009'+ comment: LMFDB curve 2.2.8.1-56.2-a1 has conductor ideal $(2*w-8)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}-27{x}-21a-74$.+- params:+ D: '8'+ conductor: '56.2'+ class: a+ curve: '2'+ number: '17.017682157622850709599063256569607'+ comment: LMFDB curve 2.2.8.1-56.2-a2 has conductor ideal $(2*w-8)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(10a-7\right){x}-15a+20$.+- params:+ D: '8'+ conductor: '56.2'+ class: a+ curve: '3'+ number: '34.035364315245701419198126513139214'+ comment: LMFDB curve 2.2.8.1-56.2-a3 has conductor ideal $(2*w-8)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}-2{x}-a-1$.+- params:+ D: '8'+ conductor: '56.2'+ class: a+ curve: '4'+ number: '34.035364315245701419198126513139214'+ comment: LMFDB curve 2.2.8.1-56.2-a4 has conductor ideal $(2*w-8)$, rank $0$, and+ equation ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2a-1\right){x}+a+2$.+- params:+ D: '8'+ conductor: '56.2'+ class: a+ curve: '5'+ number: '8.5088410788114253547995316282848036'+ comment: LMFDB curve 2.2.8.1-56.2-a5 has conductor ideal $(2*w-8)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-10a-17\right){x}-31a-44$.+- params:+ D: '8'+ conductor: '56.2'+ class: a+ curve: '6'+ number: '2.1272102697028563386998829070712009'+ comment: LMFDB curve 2.2.8.1-56.2-a6 has conductor ideal $(2*w-8)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(-105a+134\right){x}+86a-139$.+- params:+ D: '12'+ conductor: '9.1'+ class: a+ curve: '1'+ number: '3.2834968692197041385283077299089865'+ comment: LMFDB curve 2.2.12.1-9.1-a1 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(25a-45\right){x}+72a-127$.+- params:+ D: '12'+ conductor: '9.1'+ class: a+ curve: '2'+ number: '29.551471822977337246754769569180878'+ comment: LMFDB curve 2.2.12.1-9.1-a2 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(25a-45\right){x}-117a+202$.+- params:+ D: '12'+ conductor: '9.1'+ class: a+ curve: '3'+ number: '29.551471822977337246754769569180878'+ comment: LMFDB curve 2.2.12.1-9.1-a3 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}$.+- params:+ D: '12'+ conductor: '9.1'+ class: a+ curve: '4'+ number: '29.551471822977337246754769569180878'+ comment: LMFDB curve 2.2.12.1-9.1-a4 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-7a+13\right){x}+6a-10$.+- params:+ D: '12'+ conductor: '9.1'+ class: a+ curve: '5'+ number: '3.2834968692197041385283077299089865'+ comment: LMFDB curve 2.2.12.1-9.1-a5 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(88a-152\right){x}+564a-977$.+- params:+ D: '12'+ conductor: '9.1'+ class: a+ curve: '6'+ number: '29.551471822977337246754769569180878'+ comment: LMFDB curve 2.2.12.1-9.1-a6 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(88a-152\right){x}-717a+1242$.+- params:+ D: '12'+ conductor: '16.1'+ class: a+ curve: '1'+ number: '17.695031908454309764234228747255048'+ comment: LMFDB curve 2.2.12.1-16.1-a1 has conductor ideal $(4)$, rank $0$, and equation+ ${y}^2={x}^{3}-a{x}^{2}+{x}-3a-5$.+- params:+ D: '12'+ conductor: '16.1'+ class: a+ curve: '2'+ number: '17.695031908454309764234228747255048'+ comment: LMFDB curve 2.2.12.1-16.1-a2 has conductor ideal $(4)$, rank $0$, and equation+ ${y}^2={x}^{3}+a{x}^{2}+{x}+3a+5$.+- params:+ D: '12'+ conductor: '16.1'+ class: a+ curve: '3'+ number: '8.8475159542271548821171143736275243'+ comment: LMFDB curve 2.2.12.1-16.1-a3 has conductor ideal $(4)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(4a-13\right){x}+11a-21$.+- params:+ D: '12'+ conductor: '16.1'+ class: a+ curve: '4'+ number: '35.390063816908619528468457494510097'+ comment: LMFDB curve 2.2.12.1-16.1-a4 has conductor ideal $(4)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(4a-13\right){x}-12a+19$.+- params:+ D: '12'+ conductor: '16.1'+ class: a+ curve: '5'+ number: '35.390063816908619528468457494510097'+ comment: LMFDB curve 2.2.12.1-16.1-a5 has conductor ideal $(4)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-a-3\right){x}-1$.+- params:+ D: '12'+ conductor: '16.1'+ class: a+ curve: '6'+ number: '35.390063816908619528468457494510097'+ comment: LMFDB curve 2.2.12.1-16.1-a6 has conductor ideal $(4)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-a-3\right){x}-a-1$.+- params:+ D: '12'+ conductor: '16.1'+ class: a+ curve: '7'+ number: '8.8475159542271548821171143736275243'+ comment: LMFDB curve 2.2.12.1-16.1-a7 has conductor ideal $(4)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-6a-13\right){x}-12a-21$.+- params:+ D: '12'+ conductor: '16.1'+ class: a+ curve: '8'+ number: '35.390063816908619528468457494510097'+ comment: LMFDB curve 2.2.12.1-16.1-a8 has conductor ideal $(4)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-6a-13\right){x}+11a+19$.+- params:+ D: '12'+ conductor: '22.1'+ class: a+ curve: '1'+ number: '19.486238585294107332133559156819675'+ comment: LMFDB curve 2.2.12.1-22.1-a1 has conductor ideal $(w+5)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(14261a-24701\right){x}-1229141a+2128933$.+- params:+ D: '12'+ conductor: '22.1'+ class: a+ curve: '2'+ number: '2.1651376205882341480148399063132972'+ comment: LMFDB curve 2.2.12.1-22.1-a2 has conductor ideal $(w+5)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-23694a+41039\right){x}-5992615a+10379512$.+- params:+ D: '12'+ conductor: '22.1'+ class: a+ curve: '3'+ number: '2.1651376205882341480148399063132972'+ comment: LMFDB curve 2.2.12.1-22.1-a3 has conductor ideal $(w+5)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(18a-33\right){x}+83a-145$.+- params:+ D: '12'+ conductor: '22.1'+ class: a+ curve: '4'+ number: '19.486238585294107332133559156819675'+ comment: LMFDB curve 2.2.12.1-22.1-a4 has conductor ideal $(w+5)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2a+2\right){x}-a+1$.+- params:+ D: '12'+ conductor: '22.1'+ class: b+ curve: '1'+ number: '0.59789702229994567176742167092314897'+ comment: LMFDB curve 2.2.12.1-22.1-b1 has conductor ideal $(w+5)$, rank $0$, and+ equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(14261a-24702\right){x}+1229140a-2128935$.+- params:+ D: '12'+ conductor: '22.1'+ class: b+ curve: '2'+ number: '0.59789702229994567176742167092314897'+ comment: LMFDB curve 2.2.12.1-22.1-b2 has conductor ideal $(w+5)$, rank $0$, and+ equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-23694a+41038\right){x}+5992614a-10379514$.+- params:+ D: '12'+ conductor: '22.1'+ class: b+ curve: '3'+ number: '14.947425557498641794185541773078724'+ comment: LMFDB curve 2.2.12.1-22.1-b3 has conductor ideal $(w+5)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(20a-32\right){x}-64a+112$.+- params:+ D: '12'+ conductor: '22.1'+ class: b+ curve: '4'+ number: '14.947425557498641794185541773078724'+ comment: LMFDB curve 2.2.12.1-22.1-b4 has conductor ideal $(w+5)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+3{x}+1$.+- params:+ D: '12'+ conductor: '22.2'+ class: a+ curve: '1'+ number: '19.486238585294107332133559156819675'+ comment: LMFDB curve 2.2.12.1-22.2-a1 has conductor ideal $(w-5)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(1813a-3142\right){x}-55168a+95554$.+- params:+ D: '12'+ conductor: '22.2'+ class: a+ curve: '2'+ number: '2.1651376205882341480148399063132972'+ comment: LMFDB curve 2.2.12.1-22.2-a2 has conductor ideal $(w-5)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-18a-33\right){x}-83a-145$.+- params:+ D: '12'+ conductor: '22.2'+ class: a+ curve: '3'+ number: '2.1651376205882341480148399063132972'+ comment: LMFDB curve 2.2.12.1-22.2-a3 has conductor ideal $(w-5)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(1688a-2922\right){x}-63194a+109458$.+- params:+ D: '12'+ conductor: '22.2'+ class: a+ curve: '4'+ number: '19.486238585294107332133559156819675'+ comment: LMFDB curve 2.2.12.1-22.2-a4 has conductor ideal $(w-5)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(2a+2\right){x}+a+1$.+- params:+ D: '12'+ conductor: '22.2'+ class: b+ curve: '1'+ number: '0.59789702229994567176742167092314897'+ comment: LMFDB curve 2.2.12.1-22.2-b1 has conductor ideal $(w-5)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(1813a-3143\right){x}+55168a-95555$.+- params:+ D: '12'+ conductor: '22.2'+ class: b+ curve: '2'+ number: '14.947425557498641794185541773078724'+ comment: LMFDB curve 2.2.12.1-22.2-b2 has conductor ideal $(w-5)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-20a-32\right){x}+64a+112$.+- params:+ D: '12'+ conductor: '22.2'+ class: b+ curve: '3'+ number: '0.59789702229994567176742167092314897'+ comment: LMFDB curve 2.2.12.1-22.2-b3 has conductor ideal $(w-5)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(1688a-2923\right){x}+63194a-109459$.+- params:+ D: '12'+ conductor: '22.2'+ class: b+ curve: '4'+ number: '14.947425557498641794185541773078724'+ comment: LMFDB curve 2.2.12.1-22.2-b4 has conductor ideal $(w-5)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+3{x}+1$.+- params:+ D: '12'+ conductor: '24.1'+ class: a+ curve: '1'+ number: '18.602238951643222078128233801763314'+ comment: LMFDB curve 2.2.12.1-24.1-a1 has conductor ideal $(2*w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(1035a-1791\right){x}-23450a+40617$.+- params:+ D: '12'+ conductor: '24.1'+ class: a+ curve: '2'+ number: '2.3252798689554027597660292252204142'+ comment: LMFDB curve 2.2.12.1-24.1-a2 has conductor ideal $(2*w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-15a+29\right){x}+322a-557$.+- params:+ D: '12'+ conductor: '24.1'+ class: a+ curve: '3'+ number: '18.602238951643222078128233801763314'+ comment: LMFDB curve 2.2.12.1-24.1-a3 has conductor ideal $(2*w+6)$, rank $0$, and+ equation ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-38a+66\right){x}-168a+291$.+- params:+ D: '12'+ conductor: '24.1'+ class: a+ curve: '4'+ number: '37.204477903286444156256467603526628'+ comment: LMFDB curve 2.2.12.1-24.1-a4 has conductor ideal $(2*w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(5a-6\right){x}-3a+6$.+- params:+ D: '12'+ conductor: '24.1'+ class: a+ curve: '5'+ number: '9.3011194758216110390641169008816571'+ comment: LMFDB curve 2.2.12.1-24.1-a5 has conductor ideal $(2*w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(25a-41\right){x}+92a-159$.+- params:+ D: '12'+ conductor: '24.1'+ class: a+ curve: '6'+ number: '37.204477903286444156256467603526628'+ comment: LMFDB curve 2.2.12.1-24.1-a6 has conductor ideal $(2*w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(65a-111\right){x}-348a+603$.+- params:+ D: '12'+ conductor: '24.1'+ class: a+ curve: '7'+ number: '2.3252798689554027597660292252204142'+ comment: LMFDB curve 2.2.12.1-24.1-a7 has conductor ideal $(2*w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(385a-671\right){x}+5582a-9681$.+- params:+ D: '12'+ conductor: '24.1'+ class: a+ curve: '8'+ number: '18.602238951643222078128233801763314'+ comment: LMFDB curve 2.2.12.1-24.1-a8 has conductor ideal $(2*w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(55a-111\right){x}-406a+717$.+- params:+ D: '12'+ conductor: '24.1'+ class: b+ curve: '1'+ number: '1.4208771293753967252592869069858584'+ comment: LMFDB curve 2.2.12.1-24.1-b1 has conductor ideal $(2*w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(1033a-1794\right){x}+24484a-42410$.+- params:+ D: '12'+ conductor: '24.1'+ class: b+ curve: '2'+ number: '5.6835085175015869010371476279434336'+ comment: LMFDB curve 2.2.12.1-24.1-b2 has conductor ideal $(2*w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-17a+26\right){x}-338a+584$.+- params:+ D: '12'+ conductor: '24.1'+ class: b+ curve: '3'+ number: '11.367017035003173802074295255886867'+ comment: LMFDB curve 2.2.12.1-24.1-b3 has conductor ideal $(2*w+6)$, rank $0$, and+ equation ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-38a+66\right){x}+168a-291$.+- params:+ D: '12'+ conductor: '24.1'+ class: b+ curve: '4'+ number: '22.734034070006347604148590511773734'+ comment: LMFDB curve 2.2.12.1-24.1-b4 has conductor ideal $(2*w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(3a-9\right){x}+7a-14$.+- params:+ D: '12'+ conductor: '24.1'+ class: b+ curve: '5'+ number: '22.734034070006347604148590511773734'+ comment: LMFDB curve 2.2.12.1-24.1-b5 has conductor ideal $(2*w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(23a-44\right){x}-68a+116$.+- params:+ D: '12'+ conductor: '24.1'+ class: b+ curve: '6'+ number: '5.6835085175015869010371476279434336'+ comment: LMFDB curve 2.2.12.1-24.1-b6 has conductor ideal $(2*w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(63a-114\right){x}+412a-716$.+- params:+ D: '12'+ conductor: '24.1'+ class: b+ curve: '7'+ number: '22.734034070006347604148590511773734'+ comment: LMFDB curve 2.2.12.1-24.1-b7 has conductor ideal $(2*w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(383a-674\right){x}-5198a+9008$.+- params:+ D: '12'+ conductor: '24.1'+ class: b+ curve: '8'+ number: '1.4208771293753967252592869069858584'+ comment: LMFDB curve 2.2.12.1-24.1-b8 has conductor ideal $(2*w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(53a-114\right){x}+460a-830$.+- params:+ D: '12'+ conductor: '33.1'+ class: d+ curve: '1'+ number: '0.72631039230780105735863478135527898'+ comment: LMFDB curve 2.2.12.1-33.1-d1 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(22985a-39809\right){x}+2481167a-4297507$.+- params:+ D: '12'+ conductor: '33.1'+ class: d+ curve: '2'+ number: '18.157759807695026433965869533881974'+ comment: LMFDB curve 2.2.12.1-33.1-d2 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(5a-9\right){x}-6a+10$.+- params:+ D: '12'+ conductor: '33.1'+ class: d+ curve: '3'+ number: '18.157759807695026433965869533881974'+ comment: LMFDB curve 2.2.12.1-33.1-d3 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(16a-29\right){x}-80a+138$.+- params:+ D: '12'+ conductor: '33.1'+ class: d+ curve: '4'+ number: '0.72631039230780105735863478135527898'+ comment: LMFDB curve 2.2.12.1-33.1-d4 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(57890a-100270\right){x}+25396786a-43988524$.+- params:+ D: '12'+ conductor: '33.1'+ class: c+ curve: '1'+ number: '1.6635259797396065157331062118609955'+ comment: LMFDB curve 2.2.12.1-33.1-c1 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-729a+1261\right){x}-20243a+35060$.+- params:+ D: '12'+ conductor: '33.1'+ class: c+ curve: '2'+ number: '26.616415675833704251729699389775928'+ comment: LMFDB curve 2.2.12.1-33.1-c2 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+a{x}{y}+{y}={x}^{3}-{x}^{2}+\left(3362a-5824\right){x}-177111a+306765$.+- params:+ D: '12'+ conductor: '33.1'+ class: c+ curve: '3'+ number: '26.616415675833704251729699389775928'+ comment: LMFDB curve 2.2.12.1-33.1-c3 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(20a-49\right){x}-100a+184$.+- params:+ D: '12'+ conductor: '33.1'+ class: c+ curve: '4'+ number: '26.616415675833704251729699389775928'+ comment: LMFDB curve 2.2.12.1-33.1-c4 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(296a-514\right){x}-3378a+5849$.+- params:+ D: '12'+ conductor: '33.1'+ class: c+ curve: '5'+ number: '6.6541039189584260629324248474439820'+ comment: LMFDB curve 2.2.12.1-33.1-c5 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(316a-549\right){x}-2833a+4905$.+- params:+ D: '12'+ conductor: '33.1'+ class: c+ curve: '6'+ number: '1.6635259797396065157331062118609955'+ comment: LMFDB curve 2.2.12.1-33.1-c6 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(1681a-2919\right){x}+48497a-84006$.+- params:+ D: '12'+ conductor: '33.1'+ class: b+ curve: '1'+ number: '3.8640640545192230667498627428722255'+ comment: LMFDB curve 2.2.12.1-33.1-b1 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-727a+1262\right){x}+19515a-33800$.+- params:+ D: '12'+ conductor: '33.1'+ class: b+ curve: '2'+ number: '15.456256218076892266999450971488902'+ comment: LMFDB curve 2.2.12.1-33.1-b2 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(3362a-5824\right){x}+177111a-306766$.+- params:+ D: '12'+ conductor: '33.1'+ class: b+ curve: '3'+ number: '3.8640640545192230667498627428722255'+ comment: LMFDB curve 2.2.12.1-33.1-b3 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(20a-49\right){x}+100a-184$.+- params:+ D: '12'+ conductor: '33.1'+ class: b+ curve: '4'+ number: '15.456256218076892266999450971488902'+ comment: LMFDB curve 2.2.12.1-33.1-b4 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(298a-513\right){x}+3675a-6364$.+- params:+ D: '12'+ conductor: '33.1'+ class: b+ curve: '5'+ number: '15.456256218076892266999450971488902'+ comment: LMFDB curve 2.2.12.1-33.1-b5 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(318a-548\right){x}+3150a-5455$.+- params:+ D: '12'+ conductor: '33.1'+ class: b+ curve: '6'+ number: '15.456256218076892266999450971488902'+ comment: LMFDB curve 2.2.12.1-33.1-b6 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(1683a-2918\right){x}-46815a+81086$.+- params:+ D: '12'+ conductor: '33.1'+ class: a+ curve: '1'+ number: '8.7873802796129571680668697254631015'+ comment: LMFDB curve 2.2.12.1-33.1-a1 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(22986a-39809\right){x}-2497992a+4326651$.+- params:+ D: '12'+ conductor: '33.1'+ class: a+ curve: '2'+ number: '8.7873802796129571680668697254631015'+ comment: LMFDB curve 2.2.12.1-33.1-a2 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(6a-8\right){x}+12a-19$.+- params:+ D: '12'+ conductor: '33.1'+ class: a+ curve: '3'+ number: '8.7873802796129571680668697254631015'+ comment: LMFDB curve 2.2.12.1-33.1-a3 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(15a-28\right){x}+96a-167$.+- params:+ D: '12'+ conductor: '33.1'+ class: a+ curve: '4'+ number: '8.7873802796129571680668697254631015'+ comment: LMFDB curve 2.2.12.1-33.1-a4 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(57891a-100269\right){x}-25338895a+43888254$.+- params:+ D: '12'+ conductor: '33.2'+ class: d+ curve: '1'+ number: '18.157759807695026433965869533881974'+ comment: LMFDB curve 2.2.12.1-33.2-d1 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(5a-7\right){x}+a-1$.+- params:+ D: '12'+ conductor: '33.2'+ class: d+ curve: '2'+ number: '0.72631039230780105735863478135527898'+ comment: LMFDB curve 2.2.12.1-33.2-d2 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(460939a-798370\right){x}+224206774a-388337524$.+- params:+ D: '12'+ conductor: '33.2'+ class: d+ curve: '3'+ number: '0.72631039230780105735863478135527898'+ comment: LMFDB curve 2.2.12.1-33.2-d3 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(8272a-14332\right){x}+544260a-942688$.+- params:+ D: '12'+ conductor: '33.2'+ class: d+ curve: '4'+ number: '18.157759807695026433965869533881974'+ comment: LMFDB curve 2.2.12.1-33.2-d4 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-6a-9\right){x}+6a+10$.+- params:+ D: '12'+ conductor: '33.2'+ class: c+ curve: '1'+ number: '26.616415675833704251729699389775928'+ comment: LMFDB curve 2.2.12.1-33.2-c1 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+{x}$.+- params:+ D: '12'+ conductor: '33.2'+ class: c+ curve: '2'+ number: '1.6635259797396065157331062118609955'+ comment: LMFDB curve 2.2.12.1-33.2-c2 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(25a-29\right){x}+89a-138$.+- params:+ D: '12'+ conductor: '33.2'+ class: c+ curve: '3'+ number: '6.6541039189584260629324248474439820'+ comment: LMFDB curve 2.2.12.1-33.2-c3 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(20a-39\right){x}+84a-138$.+- params:+ D: '12'+ conductor: '33.2'+ class: c+ curve: '4'+ number: '1.6635259797396065157331062118609955'+ comment: LMFDB curve 2.2.12.1-33.2-c4 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(335a-609\right){x}+4719a-8214$.+- params:+ D: '12'+ conductor: '33.2'+ class: c+ curve: '5'+ number: '26.616415675833704251729699389775928'+ comment: LMFDB curve 2.2.12.1-33.2-c5 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}-4{x}+4a+1$.+- params:+ D: '12'+ conductor: '33.2'+ class: c+ curve: '6'+ number: '26.616415675833704251729699389775928'+ comment: LMFDB curve 2.2.12.1-33.2-c6 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-20a-49\right){x}+100a+184$.+- params:+ D: '12'+ conductor: '33.2'+ class: b+ curve: '1'+ number: '15.456256218076892266999450971488902'+ comment: LMFDB curve 2.2.12.1-33.2-b1 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+{x}$.+- params:+ D: '12'+ conductor: '33.2'+ class: b+ curve: '2'+ number: '3.8640640545192230667498627428722255'+ comment: LMFDB curve 2.2.12.1-33.2-b2 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(25a-29\right){x}-89a+138$.+- params:+ D: '12'+ conductor: '33.2'+ class: b+ curve: '3'+ number: '15.456256218076892266999450971488902'+ comment: LMFDB curve 2.2.12.1-33.2-b3 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(20a-39\right){x}-84a+138$.+- params:+ D: '12'+ conductor: '33.2'+ class: b+ curve: '4'+ number: '15.456256218076892266999450971488902'+ comment: LMFDB curve 2.2.12.1-33.2-b4 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(335a-609\right){x}-4719a+8214$.+- params:+ D: '12'+ conductor: '33.2'+ class: b+ curve: '5'+ number: '15.456256218076892266999450971488902'+ comment: LMFDB curve 2.2.12.1-33.2-b5 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}-4{x}-4a-1$.+- params:+ D: '12'+ conductor: '33.2'+ class: b+ curve: '6'+ number: '3.8640640545192230667498627428722255'+ comment: LMFDB curve 2.2.12.1-33.2-b6 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(-20a-49\right){x}-100a-184$.+- params:+ D: '12'+ conductor: '33.2'+ class: a+ curve: '1'+ number: '8.7873802796129571680668697254631015'+ comment: LMFDB curve 2.2.12.1-33.2-a1 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(6a-5\right){x}-3a+8$.+- params:+ D: '12'+ conductor: '33.2'+ class: a+ curve: '2'+ number: '8.7873802796129571680668697254631015'+ comment: LMFDB curve 2.2.12.1-33.2-a2 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(460938a-798369\right){x}-223745835a+387539154$.+- params:+ D: '12'+ conductor: '33.2'+ class: a+ curve: '3'+ number: '8.7873802796129571680668697254631015'+ comment: LMFDB curve 2.2.12.1-33.2-a3 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+{x}^{2}+\left(8273a-14331\right){x}-535987a+928356$.+- params:+ D: '12'+ conductor: '33.2'+ class: a+ curve: '4'+ number: '8.7873802796129571680668697254631015'+ comment: LMFDB curve 2.2.12.1-33.2-a4 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-7a-8\right){x}-12a-19$.+- params:+ D: '12'+ conductor: '36.1'+ class: a+ curve: '1'+ number: '5.8983439694847699214114095824183495'+ comment: LMFDB curve 2.2.12.1-36.1-a1 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2={x}^{3}-1$.+- params:+ D: '12'+ conductor: '36.1'+ class: a+ curve: '2'+ number: '17.695031908454309764234228747255048'+ comment: LMFDB curve 2.2.12.1-36.1-a2 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2={x}^{3}+1$.+- params:+ D: '12'+ conductor: '36.1'+ class: a+ curve: '3'+ number: '5.8983439694847699214114095824183495'+ comment: LMFDB curve 2.2.12.1-36.1-a3 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(239a-416\right){x}+2458a-4259$.+- params:+ D: '12'+ conductor: '36.1'+ class: a+ curve: '4'+ number: '17.695031908454309764234228747255048'+ comment: LMFDB curve 2.2.12.1-36.1-a4 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(240a-414\right){x}-2874a+4978$.+- params:+ D: '12'+ conductor: '36.1'+ class: a+ curve: '5'+ number: '11.796687938969539842822819164836699'+ comment: LMFDB curve 2.2.12.1-36.1-a5 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(14a-26\right){x}+28a-50$.+- params:+ D: '12'+ conductor: '36.1'+ class: a+ curve: '6'+ number: '35.390063816908619528468457494510097'+ comment: LMFDB curve 2.2.12.1-36.1-a6 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(15a-24\right){x}-54a+94$.+- params:+ D: '12'+ conductor: '36.1'+ class: a+ curve: '7'+ number: '5.8983439694847699214114095824183495'+ comment: LMFDB curve 2.2.12.1-36.1-a7 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(29a-56\right){x}-92a+151$.+- params:+ D: '12'+ conductor: '36.1'+ class: a+ curve: '8'+ number: '17.695031908454309764234228747255048'+ comment: LMFDB curve 2.2.12.1-36.1-a8 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(30a-54\right){x}+36a-62$.+- params:+ D: '12'+ conductor: '47.1'+ class: b+ curve: '1'+ number: '39.613384721248614874737050673090411'+ comment: LMFDB curve 2.2.12.1-47.1-b1 has conductor ideal $(-4*w-1)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(a-1\right){x}$.+- params:+ D: '12'+ conductor: '47.1'+ class: b+ curve: '2'+ number: '39.613384721248614874737050673090411'+ comment: LMFDB curve 2.2.12.1-47.1-b2 has conductor ideal $(-4*w-1)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(6a-11\right){x}-14a+24$.+- params:+ D: '12'+ conductor: '47.1'+ class: a+ curve: '1'+ number: '19.401865748686940384899004026121007'+ comment: LMFDB curve 2.2.12.1-47.1-a1 has conductor ideal $(-4*w-1)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(a-2\right){x}-1$.+- params:+ D: '12'+ conductor: '47.1'+ class: a+ curve: '2'+ number: '9.7009328743434701924495020130605035'+ comment: LMFDB curve 2.2.12.1-47.1-a2 has conductor ideal $(-4*w-1)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(6a-12\right){x}+14a-25$.+- params:+ D: '12'+ conductor: '47.2'+ class: b+ curve: '1'+ number: '39.613384721248614874737050673090411'+ comment: LMFDB curve 2.2.12.1-47.2-b1 has conductor ideal $(4*w-1)$, rank $1$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-a-1\right){x}$.+- params:+ D: '12'+ conductor: '47.2'+ class: b+ curve: '2'+ number: '39.613384721248614874737050673090411'+ comment: LMFDB curve 2.2.12.1-47.2-b2 has conductor ideal $(4*w-1)$, rank $1$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-6a-11\right){x}+14a+24$.+- params:+ D: '12'+ conductor: '47.2'+ class: a+ curve: '1'+ number: '19.401865748686940384899004026121007'+ comment: LMFDB curve 2.2.12.1-47.2-a1 has conductor ideal $(4*w-1)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-a-2\right){x}-1$.+- params:+ D: '12'+ conductor: '47.2'+ class: a+ curve: '2'+ number: '9.7009328743434701924495020130605035'+ comment: LMFDB curve 2.2.12.1-47.2-a2 has conductor ideal $(4*w-1)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-6a-12\right){x}-14a-25$.+- params:+ D: '12'+ conductor: '52.1'+ class: b+ curve: '1'+ number: '14.689428095327737600977392493965809'+ comment: LMFDB curve 2.2.12.1-52.1-b1 has conductor ideal $(2*w+8)$, rank $0$, and+ equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+2{x}+2a-3$.+- params:+ D: '12'+ conductor: '52.1'+ class: b+ curve: '2'+ number: '1.6321586772586375112197102771073121'+ comment: LMFDB curve 2.2.12.1-52.1-b2 has conductor ideal $(2*w+8)$, rank $0$, and+ equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(60a-98\right){x}+306a-527$.+- params:+ D: '12'+ conductor: '52.1'+ class: b+ curve: '3'+ number: '3.2643173545172750224394205542146243'+ comment: LMFDB curve 2.2.12.1-52.1-b3 has conductor ideal $(2*w+8)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(2a-54\right){x}+9a-124$.+- params:+ D: '12'+ conductor: '52.1'+ class: b+ curve: '4'+ number: '29.378856190655475201954784987931619'+ comment: LMFDB curve 2.2.12.1-52.1-b4 has conductor ideal $(2*w+8)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-8a-14\right){x}+7a+12$.+- params:+ D: '12'+ conductor: '52.1'+ class: a+ curve: '1'+ number: '8.3013083378748083425185386129272596'+ comment: LMFDB curve 2.2.12.1-52.1-a1 has conductor ideal $(2*w+8)$, rank $0$, and+ equation ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+2{x}-2a+3$.+- params:+ D: '12'+ conductor: '52.1'+ class: a+ curve: '2'+ number: '8.3013083378748083425185386129272596'+ comment: LMFDB curve 2.2.12.1-52.1-a2 has conductor ideal $(2*w+8)$, rank $0$, and+ equation ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(60a-98\right){x}-306a+527$.+- params:+ D: '12'+ conductor: '52.1'+ class: a+ curve: '3'+ number: '16.602616675749616685037077225854519'+ comment: LMFDB curve 2.2.12.1-52.1-a3 has conductor ideal $(2*w+8)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(3a-53\right){x}-61a+76$.+- params:+ D: '12'+ conductor: '52.1'+ class: a+ curve: '4'+ number: '16.602616675749616685037077225854519'+ comment: LMFDB curve 2.2.12.1-52.1-a4 has conductor ideal $(2*w+8)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-7a-13\right){x}-29a-50$.+- params:+ D: '12'+ conductor: '52.2'+ class: b+ curve: '1'+ number: '1.6321586772586375112197102771073121'+ comment: LMFDB curve 2.2.12.1-52.2-b1 has conductor ideal $(2*w-8)$, rank $0$, and+ equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-192a+334\right){x}+730a-1265$.+- params:+ D: '12'+ conductor: '52.2'+ class: b+ curve: '2'+ number: '14.689428095327737600977392493965809'+ comment: LMFDB curve 2.2.12.1-52.2-b2 has conductor ideal $(2*w-8)$, rank $0$, and+ equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(28a-46\right){x}-126a+219$.+- params:+ D: '12'+ conductor: '52.2'+ class: b+ curve: '3'+ number: '29.378856190655475201954784987931619'+ comment: LMFDB curve 2.2.12.1-52.2-b3 has conductor ideal $(2*w-8)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(9a-12\right){x}-21a+37$.+- params:+ D: '12'+ conductor: '52.2'+ class: b+ curve: '4'+ number: '3.2643173545172750224394205542146243'+ comment: LMFDB curve 2.2.12.1-52.2-b4 has conductor ideal $(2*w-8)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-a-52\right){x}-63a-129$.+- params:+ D: '12'+ conductor: '52.2'+ class: a+ curve: '1'+ number: '8.3013083378748083425185386129272596'+ comment: LMFDB curve 2.2.12.1-52.2-a1 has conductor ideal $(2*w-8)$, rank $0$, and+ equation ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-192a+334\right){x}-730a+1265$.+- params:+ D: '12'+ conductor: '52.2'+ class: a+ curve: '2'+ number: '8.3013083378748083425185386129272596'+ comment: LMFDB curve 2.2.12.1-52.2-a2 has conductor ideal $(2*w-8)$, rank $0$, and+ equation ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(28a-46\right){x}+126a-219$.+- params:+ D: '12'+ conductor: '52.2'+ class: a+ curve: '3'+ number: '16.602616675749616685037077225854519'+ comment: LMFDB curve 2.2.12.1-52.2-a3 has conductor ideal $(2*w-8)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(10a-11\right){x}+16a-25$.+- params:+ D: '12'+ conductor: '52.2'+ class: a+ curve: '4'+ number: '16.602616675749616685037077225854519'+ comment: LMFDB curve 2.2.12.1-52.2-a4 has conductor ideal $(2*w-8)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a+1\right){x}^{2}-51{x}+8a+71$.+- params:+ D: '12'+ conductor: '54.1'+ class: c+ curve: '1'+ number: '22.577295667420039317428304549363791'+ comment: LMFDB curve 2.2.12.1-54.1-c1 has conductor ideal $(3*w+9)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(22a-41\right){x}-218a+377$.+- params:+ D: '12'+ conductor: '54.1'+ class: c+ curve: '2'+ number: '22.577295667420039317428304549363791'+ comment: LMFDB curve 2.2.12.1-54.1-c2 has conductor ideal $(3*w+9)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-3a+4\right){x}+7a-14$.+- params:+ D: '12'+ conductor: '54.1'+ class: c+ curve: '3'+ number: '2.5085884074911154797142560610404213'+ comment: LMFDB curve 2.2.12.1-54.1-c3 has conductor ideal $(3*w+9)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(127a-221\right){x}+1000a-1734$.+- params:+ D: '12'+ conductor: '54.1'+ class: a+ curve: '1'+ number: '2.5085884074911154797142560610404213'+ comment: LMFDB curve 2.2.12.1-54.1-a1 has conductor ideal $(3*w+9)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-128a-221\right){x}-1001a-1734$.+- params:+ D: '12'+ conductor: '54.1'+ class: a+ curve: '2'+ number: '22.577295667420039317428304549363791'+ comment: LMFDB curve 2.2.12.1-54.1-a2 has conductor ideal $(3*w+9)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-23a-41\right){x}+217a+377$.+- params:+ D: '12'+ conductor: '54.1'+ class: a+ curve: '3'+ number: '22.577295667420039317428304549363791'+ comment: LMFDB curve 2.2.12.1-54.1-a3 has conductor ideal $(3*w+9)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(2a+4\right){x}-8a-14$.+- params:+ D: '12'+ conductor: '54.1'+ class: d+ curve: '1'+ number: '13.753032318687600866165797696421233'+ comment: LMFDB curve 2.2.12.1-54.1-d1 has conductor ideal $(3*w+9)$, rank $0$, and+ equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-128a-222\right){x}+1000a+1732$.+- params:+ D: '12'+ conductor: '54.1'+ class: d+ curve: '2'+ number: '1.5281147020764000962406441884912481'+ comment: LMFDB curve 2.2.12.1-54.1-d2 has conductor ideal $(3*w+9)$, rank $0$, and+ equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-23a-42\right){x}-218a-379$.+- params:+ D: '12'+ conductor: '54.1'+ class: d+ curve: '3'+ number: '13.753032318687600866165797696421233'+ comment: LMFDB curve 2.2.12.1-54.1-d3 has conductor ideal $(3*w+9)$, rank $0$, and+ equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(2a+3\right){x}+7a+12$.+- params:+ D: '12'+ conductor: '54.1'+ class: b+ curve: '1'+ number: '1.5281147020764000962406441884912481'+ comment: LMFDB curve 2.2.12.1-54.1-b1 has conductor ideal $(3*w+9)$, rank $0$, and+ equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(22a-42\right){x}+217a-379$.+- params:+ D: '12'+ conductor: '54.1'+ class: b+ curve: '2'+ number: '13.753032318687600866165797696421233'+ comment: LMFDB curve 2.2.12.1-54.1-b2 has conductor ideal $(3*w+9)$, rank $0$, and+ equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-3a+3\right){x}-8a+12$.+- params:+ D: '12'+ conductor: '54.1'+ class: b+ curve: '3'+ number: '13.753032318687600866165797696421233'+ comment: LMFDB curve 2.2.12.1-54.1-b3 has conductor ideal $(3*w+9)$, rank $0$, and+ equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(127a-222\right){x}-1001a+1732$.+- params:+ D: '13'+ conductor: '4.1'+ class: a+ curve: '1'+ number: '1.1422605397837213349060975037183867'+ comment: LMFDB curve 2.2.13.1-4.1-a1 has conductor ideal $(2)$, rank $0$, and equation+ ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-29a+2\right){x}-52a-106$.+- params:+ D: '13'+ conductor: '4.1'+ class: a+ curve: '2'+ number: '28.556513494593033372652437592959668'+ comment: LMFDB curve 2.2.13.1-4.1-a2 has conductor ideal $(2)$, rank $0$, and equation+ ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-2a-2\right){x}$.+- params:+ D: '13'+ conductor: '4.1'+ class: a+ curve: '3'+ number: '1.1422605397837213349060975037183867'+ comment: LMFDB curve 2.2.13.1-4.1-a3 has conductor ideal $(2)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(75a-172\right){x}+507a-1170$.+- params:+ D: '13'+ conductor: '4.1'+ class: a+ curve: '4'+ number: '28.556513494593033372652437592959668'+ comment: LMFDB curve 2.2.13.1-4.1-a4 has conductor ideal $(2)$, rank $0$, and equation+ ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(a-3\right){x}-a+1$.+- params:+ D: '13'+ conductor: '4.1'+ class: a+ curve: '5'+ number: '28.556513494593033372652437592959668'+ comment: LMFDB curve 2.2.13.1-4.1-a5 has conductor ideal $(2)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+3{x}-a+4$.+- params:+ D: '13'+ conductor: '4.1'+ class: a+ curve: '6'+ number: '1.1422605397837213349060975037183867'+ comment: LMFDB curve 2.2.13.1-4.1-a6 has conductor ideal $(2)$, rank $0$, and equation+ ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(28a-27\right){x}+51a-158$.+- params:+ D: '13'+ conductor: '9.1'+ class: a+ curve: '1'+ number: '27.399505315356176847653137340330127'+ comment: LMFDB curve 2.2.13.1-9.1-a1 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+{x}$.+- params:+ D: '13'+ conductor: '9.1'+ class: a+ curve: '2'+ number: '1.7124690822097610529783210837706329'+ comment: LMFDB curve 2.2.13.1-9.1-a2 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-5a-40\right){x}-56a-157$.+- params:+ D: '13'+ conductor: '9.1'+ class: a+ curve: '3'+ number: '1.7124690822097610529783210837706329'+ comment: LMFDB curve 2.2.13.1-9.1-a3 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(265a-594\right){x}+3141a-7218$.+- params:+ D: '13'+ conductor: '9.1'+ class: a+ curve: '4'+ number: '27.399505315356176847653137340330127'+ comment: LMFDB curve 2.2.13.1-9.1-a4 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}$.+- params:+ D: '13'+ conductor: '9.1'+ class: a+ curve: '5'+ number: '27.399505315356176847653137340330127'+ comment: LMFDB curve 2.2.13.1-9.1-a5 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}-5{x}-3a-1$.+- params:+ D: '13'+ conductor: '9.1'+ class: a+ curve: '6'+ number: '6.8498763288390442119132843350825317'+ comment: LMFDB curve 2.2.13.1-9.1-a6 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(15a-39\right){x}+54a-117$.+- params:+ D: '13'+ conductor: '9.1'+ class: a+ curve: '7'+ number: '1.7124690822097610529783210837706329'+ comment: LMFDB curve 2.2.13.1-9.1-a7 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(5a-44\right){x}+51a-168$.+- params:+ D: '13'+ conductor: '9.1'+ class: a+ curve: '8'+ number: '27.399505315356176847653137340330127'+ comment: LMFDB curve 2.2.13.1-9.1-a8 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(15a-65\right){x}-69a+182$.+- params:+ D: '13'+ conductor: '9.1'+ class: a+ curve: '9'+ number: '6.8498763288390442119132843350825317'+ comment: LMFDB curve 2.2.13.1-9.1-a9 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-15a-25\right){x}-69a-88$.+- params:+ D: '13'+ conductor: '9.1'+ class: a+ curve: '10'+ number: '27.399505315356176847653137340330127'+ comment: LMFDB curve 2.2.13.1-9.1-a10 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}-4{x}+3a+1$.+- params:+ D: '13'+ conductor: '9.1'+ class: a+ curve: '11'+ number: '1.7124690822097610529783210837706329'+ comment: LMFDB curve 2.2.13.1-9.1-a11 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-265a-330\right){x}-3406a-4407$.+- params:+ D: '13'+ conductor: '9.1'+ class: a+ curve: '12'+ number: '27.399505315356176847653137340330127'+ comment: LMFDB curve 2.2.13.1-9.1-a12 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-15a-49\right){x}+84a+163$.+- params:+ D: '13'+ conductor: '17.1'+ class: a+ curve: '1'+ number: '2.4716230083573547878953366545159211'+ comment: LMFDB curve 2.2.13.1-17.1-a1 has conductor ideal $(w+4)$, rank $0$, and+ equation ${y}^2+a{y}={x}^{3}+{x}^{2}+\left(-9a+18\right){x}+12a-32$.+- params:+ D: '13'+ conductor: '17.1'+ class: a+ curve: '2'+ number: '22.244607075216193091058029890643290'+ comment: LMFDB curve 2.2.13.1-17.1-a2 has conductor ideal $(w+4)$, rank $0$, and+ equation ${y}^2+a{y}={x}^{3}+{x}^{2}+\left(a-2\right){x}-a+1$.+- params:+ D: '13'+ conductor: '17.2'+ class: a+ curve: '1'+ number: '22.244607075216193091058029890643290'+ comment: LMFDB curve 2.2.13.1-17.2-a1 has conductor ideal $(w-5)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-a-1\right){x}$.+- params:+ D: '13'+ conductor: '17.2'+ class: a+ curve: '2'+ number: '2.4716230083573547878953366545159211'+ comment: LMFDB curve 2.2.13.1-17.2-a2 has conductor ideal $(w-5)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(9a+9\right){x}-13a-20$.+- params:+ D: '13'+ conductor: '23.1'+ class: a+ curve: '1'+ number: '12.992981859615609832173742710546859'+ comment: LMFDB curve 2.2.13.1-23.1-a1 has conductor ideal $(-3*w-1)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(a+1\right){x}$.+- params:+ D: '13'+ conductor: '23.1'+ class: a+ curve: '2'+ number: '6.4964909298078049160868713552734299'+ comment: LMFDB curve 2.2.13.1-23.1-a2 has conductor ideal $(-3*w-1)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-4a-4\right){x}-13a-18$.+- params:+ D: '13'+ conductor: '23.2'+ class: a+ curve: '1'+ number: '6.4964909298078049160868713552734299'+ comment: LMFDB curve 2.2.13.1-23.2-a1 has conductor ideal $(3*w-4)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(8a-7\right){x}+10a-14$.+- params:+ D: '13'+ conductor: '23.2'+ class: a+ curve: '2'+ number: '12.992981859615609832173742710546859'+ comment: LMFDB curve 2.2.13.1-23.2-a2 has conductor ideal $(3*w-4)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(3a+3\right){x}+2a+2$.+- params:+ D: '13'+ conductor: '27.1'+ class: a+ curve: '1'+ number: '6.2655390063997633885339133072812800'+ comment: LMFDB curve 2.2.13.1-27.1-a1 has conductor ideal $(-3*w)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-a+1\right){x}-2$.+- params:+ D: '13'+ conductor: '27.1'+ class: a+ curve: '2'+ number: '2.3495771273999112707002174902304800'+ comment: LMFDB curve 2.2.13.1-27.1-a2 has conductor ideal $(-3*w)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-59a-135\right){x}+766a+829$.+- params:+ D: '13'+ conductor: '27.1'+ class: a+ curve: '3'+ number: '0.78319237579997042356673916341016000'+ comment: LMFDB curve 2.2.13.1-27.1-a3 has conductor ideal $(-3*w)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(464a-989\right){x}+6420a-15050$.+- params:+ D: '13'+ conductor: '27.1'+ class: a+ curve: '4'+ number: '18.796617019199290165601739921843840'+ comment: LMFDB curve 2.2.13.1-27.1-a4 has conductor ideal $(-3*w)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}+a+1$.+- params:+ D: '13'+ conductor: '27.1'+ class: a+ curve: '5'+ number: '18.796617019199290165601739921843840'+ comment: LMFDB curve 2.2.13.1-27.1-a5 has conductor ideal $(-3*w)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-4a-15\right){x}+a+10$.+- params:+ D: '13'+ conductor: '27.1'+ class: a+ curve: '6'+ number: '3.1327695031998816942669566536406400'+ comment: LMFDB curve 2.2.13.1-27.1-a6 has conductor ideal $(-3*w)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(19a-74\right){x}+70a-224$.+- params:+ D: '13'+ conductor: '27.1'+ class: a+ curve: '7'+ number: '1.5663847515999408471334783268203200'+ comment: LMFDB curve 2.2.13.1-27.1-a7 has conductor ideal $(-3*w)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-26a-119\right){x}+340a+10$.+- params:+ D: '13'+ conductor: '27.1'+ class: a+ curve: '8'+ number: '9.3983085095996450828008699609219201'+ comment: LMFDB curve 2.2.13.1-27.1-a8 has conductor ideal $(-3*w)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-4a-150\right){x}-404a+118$.+- params:+ D: '13'+ conductor: '27.1'+ class: a+ curve: '9'+ number: '9.3983085095996450828008699609219201'+ comment: LMFDB curve 2.2.13.1-27.1-a9 has conductor ideal $(-3*w)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-84a-120\right){x}+546a+718$.+- params:+ D: '13'+ conductor: '27.1'+ class: a+ curve: '10'+ number: '6.2655390063997633885339133072812800'+ comment: LMFDB curve 2.2.13.1-27.1-a10 has conductor ideal $(-3*w)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-6a-14\right){x}-20a-26$.+- params:+ D: '13'+ conductor: '27.1'+ class: a+ curve: '11'+ number: '4.6991542547998225414004349804609600'+ comment: LMFDB curve 2.2.13.1-27.1-a11 has conductor ideal $(-3*w)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-847a+1914\right){x}-19366a+44646$.+- params:+ D: '13'+ conductor: '27.1'+ class: a+ curve: '12'+ number: '3.1327695031998816942669566536406400'+ comment: LMFDB curve 2.2.13.1-27.1-a12 has conductor ideal $(-3*w)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-111a-194\right){x}-1130a-1304$.+- params:+ D: '13'+ conductor: '27.2'+ class: a+ curve: '1'+ number: '18.796617019199290165601739921843840'+ comment: LMFDB curve 2.2.13.1-27.2-a1 has conductor ideal $(-3*w+3)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-3a+1\right){x}-2a+2$.+- params:+ D: '13'+ conductor: '27.2'+ class: a+ curve: '2'+ number: '1.5663847515999408471334783268203200'+ comment: LMFDB curve 2.2.13.1-27.2-a2 has conductor ideal $(-3*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(26a-145\right){x}-340a+350$.+- params:+ D: '13'+ conductor: '27.2'+ class: a+ curve: '3'+ number: '4.6991542547998225414004349804609600'+ comment: LMFDB curve 2.2.13.1-27.2-a3 has conductor ideal $(-3*w+3)$, rank $0$,+ and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(849a+1064\right){x}+21278a+27823$.+- params:+ D: '13'+ conductor: '27.2'+ class: a+ curve: '4'+ number: '6.2655390063997633885339133072812800'+ comment: LMFDB curve 2.2.13.1-27.2-a4 has conductor ideal $(-3*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+a{x}-2$.+- params:+ D: '13'+ conductor: '27.2'+ class: a+ curve: '5'+ number: '6.2655390063997633885339133072812800'+ comment: LMFDB curve 2.2.13.1-27.2-a5 has conductor ideal $(-3*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(6a-20\right){x}+20a-46$.+- params:+ D: '13'+ conductor: '27.2'+ class: a+ curve: '6'+ number: '9.3983085095996450828008699609219201'+ comment: LMFDB curve 2.2.13.1-27.2-a6 has conductor ideal $(-3*w+3)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(82a-204\right){x}-547a+1264$.+- params:+ D: '13'+ conductor: '27.2'+ class: a+ curve: '7'+ number: '2.3495771273999112707002174902304800'+ comment: LMFDB curve 2.2.13.1-27.2-a7 has conductor ideal $(-3*w+3)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(57a-194\right){x}-767a+1595$.+- params:+ D: '13'+ conductor: '27.2'+ class: a+ curve: '8'+ number: '3.1327695031998816942669566536406400'+ comment: LMFDB curve 2.2.13.1-27.2-a8 has conductor ideal $(-3*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(111a-305\right){x}+1130a-2434$.+- params:+ D: '13'+ conductor: '27.2'+ class: a+ curve: '9'+ number: '3.1327695031998816942669566536406400'+ comment: LMFDB curve 2.2.13.1-27.2-a9 has conductor ideal $(-3*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-19a-55\right){x}-70a-154$.+- params:+ D: '13'+ conductor: '27.2'+ class: a+ curve: '10'+ number: '18.796617019199290165601739921843840'+ comment: LMFDB curve 2.2.13.1-27.2-a10 has conductor ideal $(-3*w+3)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(2a-19\right){x}-2a+11$.+- params:+ D: '13'+ conductor: '27.2'+ class: a+ curve: '11'+ number: '0.78319237579997042356673916341016000'+ comment: LMFDB curve 2.2.13.1-27.2-a11 has conductor ideal $(-3*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-464a-525\right){x}-6420a-8630$.+- params:+ D: '13'+ conductor: '27.2'+ class: a+ curve: '12'+ number: '9.3983085095996450828008699609219201'+ comment: LMFDB curve 2.2.13.1-27.2-a12 has conductor ideal $(-3*w+3)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(2a-154\right){x}+403a-286$.+- params:+ D: '13'+ conductor: '36.1'+ class: a+ curve: '1'+ number: '0.30842690239091865138320804079178769'+ comment: LMFDB curve 2.2.13.1-36.1-a1 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(1023a-2390\right){x}+24243a-55924$.+- params:+ D: '13'+ conductor: '36.1'+ class: a+ curve: '2'+ number: '7.7106725597729662845802010197946922'+ comment: LMFDB curve 2.2.13.1-36.1-a2 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-12a+25\right){x}-12a+26$.+- params:+ D: '13'+ conductor: '36.1'+ class: a+ curve: '3'+ number: '7.7106725597729662845802010197946922'+ comment: LMFDB curve 2.2.13.1-36.1-a3 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(48a-115\right){x}-96a+218$.+- params:+ D: '13'+ conductor: '36.1'+ class: a+ curve: '4'+ number: '3.8553362798864831422901005098973461'+ comment: LMFDB curve 2.2.13.1-36.1-a4 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-420a-565\right){x}-6327a-8227$.+- params:+ D: '13'+ conductor: '36.1'+ class: a+ curve: '5'+ number: '3.8553362798864831422901005098973461'+ comment: LMFDB curve 2.2.13.1-36.1-a5 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(418a-985\right){x}+6326a-14554$.+- params:+ D: '13'+ conductor: '36.1'+ class: a+ curve: '6'+ number: '0.15421345119545932569160402039589384'+ comment: LMFDB curve 2.2.13.1-36.1-a6 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-14305a-26645\right){x}-1473236a-2202528$.+- params:+ D: '13'+ conductor: '36.1'+ class: a+ curve: '7'+ number: '0.30842690239091865138320804079178769'+ comment: LMFDB curve 2.2.13.1-36.1-a7 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(16383a-38230\right){x}+1551027a-3576436$.+- params:+ D: '13'+ conductor: '36.1'+ class: a+ curve: '8'+ number: '0.15421345119545932569160402039589384'+ comment: LMFDB curve 2.2.13.1-36.1-a8 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(14303a-40950\right){x}+1473235a-3675764$.+- params:+ D: '13'+ conductor: '36.2'+ class: a+ curve: '1'+ number: '6.8390325828112123176767981499625878'+ comment: LMFDB curve 2.2.13.1-36.2-a1 has conductor ideal $(2*w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-113a-80\right){x}+590a+599$.+- params:+ D: '13'+ conductor: '36.2'+ class: a+ curve: '2'+ number: '3.7994625460062290653759989722014376'+ comment: LMFDB curve 2.2.13.1-36.2-a2 has conductor ideal $(2*w+6)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(3a-8\right){x}+14a-35$.+- params:+ D: '13'+ conductor: '36.2'+ class: a+ curve: '3'+ number: '2.2796775276037374392255993833208626'+ comment: LMFDB curve 2.2.13.1-36.2-a3 has conductor ideal $(2*w+6)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+\left(124a-297\right){x}+1087a-2492$.+- params:+ D: '13'+ conductor: '36.2'+ class: a+ curve: '4'+ number: '34.195162914056061588383990749812939'+ comment: LMFDB curve 2.2.13.1-36.2-a4 has conductor ideal $(2*w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(2a-5\right){x}-5a+11$.+- params:+ D: '13'+ conductor: '36.2'+ class: a+ curve: '5'+ number: '11.398387638018687196127996916604313'+ comment: LMFDB curve 2.2.13.1-36.2-a5 has conductor ideal $(2*w+6)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+\left(-a+3\right){x}-3a+7$.+- params:+ D: '13'+ conductor: '36.2'+ class: a+ curve: '6'+ number: '0.75989250920124581307519979444028753'+ comment: LMFDB curve 2.2.13.1-36.2-a6 has conductor ideal $(2*w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(87a+6\right){x}+358a+111$.+- params:+ D: '13'+ conductor: '36.3'+ class: a+ curve: '1'+ number: '0.75989250920124581307519979444028753'+ comment: LMFDB curve 2.2.13.1-36.3-a1 has conductor ideal $(-2*w+8)$, rank $0$,+ and equation ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-85a+94\right){x}-352a+209$.+- params:+ D: '13'+ conductor: '36.3'+ class: a+ curve: '2'+ number: '34.195162914056061588383990749812939'+ comment: LMFDB curve 2.2.13.1-36.3-a2 has conductor ideal $(-2*w+8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-a-1\right){x}$.+- params:+ D: '13'+ conductor: '36.3'+ class: a+ curve: '3'+ number: '2.2796775276037374392255993833208626'+ comment: LMFDB curve 2.2.13.1-36.3-a3 has conductor ideal $(-2*w+8)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-124a-173\right){x}-1087a-1405$.+- params:+ D: '13'+ conductor: '36.3'+ class: a+ curve: '4'+ number: '3.7994625460062290653759989722014376'+ comment: LMFDB curve 2.2.13.1-36.3-a4 has conductor ideal $(-2*w+8)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-4a-4\right){x}-15a-20$.+- params:+ D: '13'+ conductor: '36.3'+ class: a+ curve: '5'+ number: '11.398387638018687196127996916604313'+ comment: LMFDB curve 2.2.13.1-36.3-a5 has conductor ideal $(-2*w+8)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(a+2\right){x}+3a+4$.+- params:+ D: '13'+ conductor: '36.3'+ class: a+ curve: '6'+ number: '6.8390325828112123176767981499625878'+ comment: LMFDB curve 2.2.13.1-36.3-a6 has conductor ideal $(-2*w+8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(114a-191\right){x}-670a+1528$.+- params:+ D: '13'+ conductor: '39.1'+ class: a+ curve: '1'+ number: '6.9368848051699819797242226660889801'+ comment: LMFDB curve 2.2.13.1-39.1-a1 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+a{x}{y}+{y}={x}^{3}-{x}^{2}+\left(34a+43\right){x}+323a+422$.+- params:+ D: '13'+ conductor: '39.1'+ class: a+ curve: '2'+ number: '13.873769610339963959448445332177960'+ comment: LMFDB curve 2.2.13.1-39.1-a2 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(16a-27\right){x}+29a-60$.+- params:+ D: '13'+ conductor: '39.1'+ class: a+ curve: '3'+ number: '13.873769610339963959448445332177960'+ comment: LMFDB curve 2.2.13.1-39.1-a3 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a+8\right){x}+5a-4$.+- params:+ D: '13'+ conductor: '39.1'+ class: a+ curve: '4'+ number: '6.9368848051699819797242226660889801'+ comment: LMFDB curve 2.2.13.1-39.1-a4 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(201a-462\right){x}+2061a-4746$.+- params:+ D: '13'+ conductor: '39.2'+ class: a+ curve: '1'+ number: '13.873769610339963959448445332177960'+ comment: LMFDB curve 2.2.13.1-39.2-a1 has conductor ideal $(w-7)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(3a+4\right){x}$.+- params:+ D: '13'+ conductor: '39.2'+ class: a+ curve: '2'+ number: '13.873769610339963959448445332177960'+ comment: LMFDB curve 2.2.13.1-39.2-a2 has conductor ideal $(w-7)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-12a-16\right){x}-44a-57$.+- params:+ D: '13'+ conductor: '39.2'+ class: a+ curve: '3'+ number: '6.9368848051699819797242226660889801'+ comment: LMFDB curve 2.2.13.1-39.2-a3 has conductor ideal $(w-7)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-35a+77\right){x}-323a+745$.+- params:+ D: '13'+ conductor: '39.2'+ class: a+ curve: '4'+ number: '6.9368848051699819797242226660889801'+ comment: LMFDB curve 2.2.13.1-39.2-a4 has conductor ideal $(w-7)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-197a-266\right){x}-2326a-3016$.+- params:+ D: '13'+ conductor: '48.1'+ class: a+ curve: '1'+ number: '15.918596250845300167331995114219963'+ comment: LMFDB curve 2.2.13.1-48.1-a1 has conductor ideal $(-4*w)$, rank $0$, and+ equation ${y}^2={x}^{3}-{x}^{2}+\left(-3a-4\right){x}-4a-5$.+- params:+ D: '13'+ conductor: '48.1'+ class: a+ curve: '2'+ number: '15.918596250845300167331995114219963'+ comment: LMFDB curve 2.2.13.1-48.1-a2 has conductor ideal $(-4*w)$, rank $0$, and+ equation ${y}^2={x}^{3}-{x}^{2}+\left(a+1\right){x}$.+- params:+ D: '13'+ conductor: '48.1'+ class: a+ curve: '3'+ number: '7.9592981254226500836659975571099817'+ comment: LMFDB curve 2.2.13.1-48.1-a3 has conductor ideal $(-4*w)$, rank $0$, and+ equation ${y}^2={x}^{3}-{x}^{2}+\left(-4a-4\right){x}+4a+4$.+- params:+ D: '13'+ conductor: '48.1'+ class: a+ curve: '4'+ number: '7.9592981254226500836659975571099817'+ comment: LMFDB curve 2.2.13.1-48.1-a4 has conductor ideal $(-4*w)$, rank $0$, and+ equation ${y}^2={x}^{3}-{x}^{2}+\left(9a-22\right){x}-67a+154$.+- params:+ D: '13'+ conductor: '48.2'+ class: a+ curve: '1'+ number: '7.9592981254226500836659975571099817'+ comment: LMFDB curve 2.2.13.1-48.2-a1 has conductor ideal $(-4*w+4)$, rank $0$,+ and equation ${y}^2={x}^{3}-{x}^{2}+\left(-9a-13\right){x}+67a+87$.+- params:+ D: '13'+ conductor: '48.2'+ class: a+ curve: '2'+ number: '7.9592981254226500836659975571099817'+ comment: LMFDB curve 2.2.13.1-48.2-a2 has conductor ideal $(-4*w+4)$, rank $0$,+ and equation ${y}^2={x}^{3}-{x}^{2}+\left(4a-8\right){x}-4a+8$.+- params:+ D: '13'+ conductor: '48.2'+ class: a+ curve: '3'+ number: '15.918596250845300167331995114219963'+ comment: LMFDB curve 2.2.13.1-48.2-a3 has conductor ideal $(-4*w+4)$, rank $0$,+ and equation ${y}^2={x}^{3}-{x}^{2}+\left(-a+2\right){x}$.+- params:+ D: '13'+ conductor: '48.2'+ class: a+ curve: '4'+ number: '15.918596250845300167331995114219963'+ comment: LMFDB curve 2.2.13.1-48.2-a4 has conductor ideal $(-4*w+4)$, rank $0$,+ and equation ${y}^2={x}^{3}-{x}^{2}+\left(3a-7\right){x}+4a-9$.+- params:+ D: '13'+ conductor: '51.1'+ class: c+ curve: '1'+ number: '2.8105078829221956664009800712850398'+ comment: LMFDB curve 2.2.13.1-51.1-c1 has conductor ideal $(-4*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-6a+6\right){x}-3a$.+- params:+ D: '13'+ conductor: '51.1'+ class: c+ curve: '2'+ number: '2.8105078829221956664009800712850398'+ comment: LMFDB curve 2.2.13.1-51.1-c2 has conductor ideal $(-4*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-16a-69\right){x}-78a-198$.+- params:+ D: '13'+ conductor: '51.1'+ class: a+ curve: '1'+ number: '8.6079279605119778207763964738049273'+ comment: LMFDB curve 2.2.13.1-51.1-a1 has conductor ideal $(-4*w+3)$, rank $0$,+ and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-2a-2\right){x}+11a+14$.+- params:+ D: '13'+ conductor: '51.1'+ class: a+ curve: '2'+ number: '8.6079279605119778207763964738049273'+ comment: LMFDB curve 2.2.13.1-51.1-a2 has conductor ideal $(-4*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(-a+3\right){x}$.+- params:+ D: '13'+ conductor: '51.1'+ class: a+ curve: '3'+ number: '8.6079279605119778207763964738049273'+ comment: LMFDB curve 2.2.13.1-51.1-a3 has conductor ideal $(-4*w+3)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(4a-12\right){x}+5a-15$.+- params:+ D: '13'+ conductor: '51.1'+ class: a+ curve: '4'+ number: '8.6079279605119778207763964738049273'+ comment: LMFDB curve 2.2.13.1-51.1-a4 has conductor ideal $(-4*w+3)$, rank $0$,+ and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-57a-77\right){x}+359a+464$.+- params:+ D: '13'+ conductor: '51.1'+ class: b+ curve: '1'+ number: '17.138870473011498495788438886580485'+ comment: LMFDB curve 2.2.13.1-51.1-b1 has conductor ideal $(-4*w+3)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(a-4\right){x}-a+2$.+- params:+ D: '13'+ conductor: '51.1'+ class: b+ curve: '2'+ number: '17.138870473011498495788438886580485'+ comment: LMFDB curve 2.2.13.1-51.1-b2 has conductor ideal $(-4*w+3)$, rank $0$,+ and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-107a-152\right){x}-323a-403$.+- params:+ D: '13'+ conductor: '51.1'+ class: b+ curve: '3'+ number: '17.138870473011498495788438886580485'+ comment: LMFDB curve 2.2.13.1-51.1-b3 has conductor ideal $(-4*w+3)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(26a-64\right){x}-93a+212$.+- params:+ D: '13'+ conductor: '51.1'+ class: b+ curve: '4'+ number: '4.2847176182528746239471097216451212'+ comment: LMFDB curve 2.2.13.1-51.1-b4 has conductor ideal $(-4*w+3)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(16a-79\right){x}-117a+164$.+- params:+ D: '13'+ conductor: '51.2'+ class: a+ curve: '1'+ number: '20.340856799190928919265985041546446'+ comment: LMFDB curve 2.2.13.1-51.2-a1 has conductor ideal $(-2*w+9)$, rank $1$,+ and equation ${y}^2+a{y}={x}^{3}-{x}^{2}+\left(-2a+4\right){x}+a-3$.+- params:+ D: '13'+ conductor: '51.2'+ class: a+ curve: '2'+ number: '20.340856799190928919265985041546446'+ comment: LMFDB curve 2.2.13.1-51.2-a2 has conductor ideal $(-2*w+9)$, rank $1$,+ and equation ${y}^2+a{y}={x}^{3}-{x}^{2}+\left(a-1\right){x}-a+1$.+- params:+ D: '13'+ conductor: '51.3'+ class: a+ curve: '1'+ number: '20.340856799190928919265985041546446'+ comment: LMFDB curve 2.2.13.1-51.3-a1 has conductor ideal $(2*w+7)$, rank $1$, and+ equation ${y}^2+\left(a+1\right){y}={x}^{3}-{x}^{2}-a{x}$.+- params:+ D: '13'+ conductor: '51.3'+ class: a+ curve: '2'+ number: '20.340856799190928919265985041546446'+ comment: LMFDB curve 2.2.13.1-51.3-a2 has conductor ideal $(2*w+7)$, rank $1$, and+ equation ${y}^2+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(2a+2\right){x}-2a-2$.+- params:+ D: '13'+ conductor: '51.4'+ class: c+ curve: '1'+ number: '2.8105078829221956664009800712850398'+ comment: LMFDB curve 2.2.13.1-51.4-c1 has conductor ideal $(4*w-1)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(5a+1\right){x}+2a-2$.+- params:+ D: '13'+ conductor: '51.4'+ class: c+ curve: '2'+ number: '2.8105078829221956664009800712850398'+ comment: LMFDB curve 2.2.13.1-51.4-c2 has conductor ideal $(4*w-1)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(15a-84\right){x}+77a-275$.+- params:+ D: '13'+ conductor: '51.4'+ class: b+ curve: '1'+ number: '17.138870473011498495788438886580485'+ comment: LMFDB curve 2.2.13.1-51.4-b1 has conductor ideal $(4*w-1)$, rank $0$, and+ equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-2a-2\right){x}+a+1$.+- params:+ D: '13'+ conductor: '51.4'+ class: b+ curve: '2'+ number: '4.2847176182528746239471097216451212'+ comment: LMFDB curve 2.2.13.1-51.4-b2 has conductor ideal $(4*w-1)$, rank $0$, and+ equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-17a-62\right){x}+117a+47$.+- params:+ D: '13'+ conductor: '51.4'+ class: b+ curve: '3'+ number: '17.138870473011498495788438886580485'+ comment: LMFDB curve 2.2.13.1-51.4-b3 has conductor ideal $(4*w-1)$, rank $0$, and+ equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-27a-37\right){x}+93a+119$.+- params:+ D: '13'+ conductor: '51.4'+ class: b+ curve: '4'+ number: '17.138870473011498495788438886580485'+ comment: LMFDB curve 2.2.13.1-51.4-b4 has conductor ideal $(4*w-1)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(108a-262\right){x}+61a-140$.+- params:+ D: '13'+ conductor: '51.4'+ class: a+ curve: '1'+ number: '8.6079279605119778207763964738049273'+ comment: LMFDB curve 2.2.13.1-51.4-a1 has conductor ideal $(4*w-1)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+{x}^{2}+\left(2a-4\right){x}-9a+21$.+- params:+ D: '13'+ conductor: '51.4'+ class: a+ curve: '2'+ number: '8.6079279605119778207763964738049273'+ comment: LMFDB curve 2.2.13.1-51.4-a2 has conductor ideal $(4*w-1)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(a+2\right){x}$.+- params:+ D: '13'+ conductor: '51.4'+ class: a+ curve: '3'+ number: '8.6079279605119778207763964738049273'+ comment: LMFDB curve 2.2.13.1-51.4-a3 has conductor ideal $(4*w-1)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(-4a-8\right){x}-5a-10$.+- params:+ D: '13'+ conductor: '51.4'+ class: a+ curve: '4'+ number: '8.6079279605119778207763964738049273'+ comment: LMFDB curve 2.2.13.1-51.4-a4 has conductor ideal $(4*w-1)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+{x}^{2}+\left(57a-134\right){x}-302a+689$.+- params:+ D: '13'+ conductor: '52.1'+ class: b+ curve: '1'+ number: '0.38559796534058063989835256461682483'+ comment: LMFDB curve 2.2.13.1-52.1-b1 has conductor ideal $(-4*w+2)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-213{x}-1257$.+- params:+ D: '13'+ conductor: '52.1'+ class: b+ curve: '2'+ number: '18.894300301688451355019275666224417'+ comment: LMFDB curve 2.2.13.1-52.1-b2 has conductor ideal $(-4*w+2)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-3{x}+3$.+- params:+ D: '13'+ conductor: '52.1'+ class: a+ curve: '1'+ number: '0.26581928334230888972474875261420999'+ comment: LMFDB curve 2.2.13.1-52.1-a1 has conductor ideal $(-4*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-460{x}-3830$.+- params:+ D: '13'+ conductor: '52.1'+ class: a+ curve: '2'+ number: '2.3923735500807800075227387735278899'+ comment: LMFDB curve 2.2.13.1-52.1-a2 has conductor ideal $(-4*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-5{x}-8$.+- params:+ D: '13'+ conductor: '52.1'+ class: a+ curve: '3'+ number: '21.531361950727020067704648961751009'+ comment: LMFDB curve 2.2.13.1-52.1-a3 has conductor ideal $(-4*w+2)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}$.+- params:+ D: '13'+ conductor: '53.1'+ class: a+ curve: '1'+ number: '28.368431245533379276463780701368752'+ comment: LMFDB curve 2.2.13.1-53.1-a1 has conductor ideal $(w+7)$, rank $1$, and+ equation ${y}^2+a{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-a+1\right){x}$.+- params:+ D: '13'+ conductor: '53.2'+ class: a+ curve: '1'+ number: '28.368431245533379276463780701368752'+ comment: LMFDB curve 2.2.13.1-53.2-a1 has conductor ideal $(w-8)$, rank $1$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-{x}^{2}$.+- params:+ D: '17'+ conductor: '4.1'+ class: a+ curve: '1'+ number: '2.5512619868368420218277732147808144'+ comment: LMFDB curve 2.2.17.1-4.1-a1 has conductor ideal $(2)$, rank $0$, and equation+ ${y}^2+{x}{y}+{y}={x}^{3}+\left(-9a+22\right){x}+106a-272$.+- params:+ D: '17'+ conductor: '4.1'+ class: a+ curve: '2'+ number: '22.961357881531578196449958933027329'+ comment: LMFDB curve 2.2.17.1-4.1-a2 has conductor ideal $(2)$, rank $0$, and equation+ ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-2\right){x}+4a+6$.+- params:+ D: '17'+ conductor: '4.1'+ class: a+ curve: '3'+ number: '2.5512619868368420218277732147808144'+ comment: LMFDB curve 2.2.17.1-4.1-a3 has conductor ideal $(2)$, rank $0$, and equation+ ${y}^2+{x}{y}+{y}={x}^{3}+\left(9a+13\right){x}-106a-166$.+- params:+ D: '17'+ conductor: '4.1'+ class: a+ curve: '4'+ number: '22.961357881531578196449958933027329'+ comment: LMFDB curve 2.2.17.1-4.1-a4 has conductor ideal $(2)$, rank $0$, and equation+ ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-3\right){x}-4a+10$.+- params:+ D: '17'+ conductor: '4.1'+ class: a+ curve: '5'+ number: '45.922715763063156392899917866054659'+ comment: LMFDB curve 2.2.17.1-4.1-a5 has conductor ideal $(2)$, rank $0$, and equation+ ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}-2a{x}$.+- params:+ D: '17'+ conductor: '4.1'+ class: a+ curve: '6'+ number: '2.5512619868368420218277732147808144'+ comment: LMFDB curve 2.2.17.1-4.1-a6 has conductor ideal $(2)$, rank $0$, and equation+ ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(981a-2517\right){x}+23628a-60528$.+- params:+ D: '17'+ conductor: '4.1'+ class: a+ curve: '7'+ number: '5.1025239736736840436555464295616288'+ comment: LMFDB curve 2.2.17.1-4.1-a7 has conductor ideal $(2)$, rank $0$, and equation+ ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(61a-157\right){x}+348a-896$.+- params:+ D: '17'+ conductor: '4.1'+ class: a+ curve: '8'+ number: '45.922715763063156392899917866054659'+ comment: LMFDB curve 2.2.17.1-4.1-a8 has conductor ideal $(2)$, rank $0$, and equation+ ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(a-2\right){x}-a$.+- params:+ D: '17'+ conductor: '4.1'+ class: a+ curve: '9'+ number: '22.961357881531578196449958933027329'+ comment: LMFDB curve 2.2.17.1-4.1-a9 has conductor ideal $(2)$, rank $0$, and equation+ ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-12a-20\right){x}-28a-44$.+- params:+ D: '17'+ conductor: '4.1'+ class: a+ curve: '10'+ number: '5.1025239736736840436555464295616288'+ comment: LMFDB curve 2.2.17.1-4.1-a10 has conductor ideal $(2)$, rank $0$, and equation+ ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-62a-95\right){x}-349a-547$.+- params:+ D: '17'+ conductor: '4.1'+ class: a+ curve: '11'+ number: '22.961357881531578196449958933027329'+ comment: LMFDB curve 2.2.17.1-4.1-a11 has conductor ideal $(2)$, rank $0$, and equation+ ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(11a-32\right){x}+27a-72$.+- params:+ D: '17'+ conductor: '4.1'+ class: a+ curve: '12'+ number: '2.5512619868368420218277732147808144'+ comment: LMFDB curve 2.2.17.1-4.1-a12 has conductor ideal $(2)$, rank $0$, and equation+ ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-982a-1535\right){x}-23629a-36899$.+- params:+ D: '17'+ conductor: '8.3'+ class: a+ curve: '1'+ number: '12.690574342122364819155786846722745'+ comment: LMFDB curve 2.2.17.1-8.3-a1 has conductor ideal $(-w-3)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(4a+7\right){x}-34a-53$.+- params:+ D: '17'+ conductor: '8.3'+ class: a+ curve: '2'+ number: '6.3452871710611824095778934233613728'+ comment: LMFDB curve 2.2.17.1-8.3-a2 has conductor ideal $(-w-3)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(80a+125\right){x}+1186a+1852$.+- params:+ D: '17'+ conductor: '8.3'+ class: a+ curve: '3'+ number: '25.381148684244729638311573693445491'+ comment: LMFDB curve 2.2.17.1-8.3-a3 has conductor ideal $(-w-3)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(12a-37\right){x}+46a-121$.+- params:+ D: '17'+ conductor: '8.3'+ class: a+ curve: '4'+ number: '25.381148684244729638311573693445491'+ comment: LMFDB curve 2.2.17.1-8.3-a4 has conductor ideal $(-w-3)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(a+3\right){x}$.+- params:+ D: '17'+ conductor: '8.3'+ class: a+ curve: '5'+ number: '25.381148684244729638311573693445491'+ comment: LMFDB curve 2.2.17.1-8.3-a5 has conductor ideal $(-w-3)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-5a-8\right){x}+2a+3$.+- params:+ D: '17'+ conductor: '8.3'+ class: a+ curve: '6'+ number: '12.690574342122364819155786846722745'+ comment: LMFDB curve 2.2.17.1-8.3-a6 has conductor ideal $(-w-3)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-4a-12\right){x}-29a-31$.+- params:+ D: '17'+ conductor: '8.4'+ class: a+ curve: '1'+ number: '25.381148684244729638311573693445491'+ comment: LMFDB curve 2.2.17.1-8.4-a1 has conductor ideal $(w-4)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(3a-11\right){x}-3a+6$.+- params:+ D: '17'+ conductor: '8.4'+ class: a+ curve: '2'+ number: '12.690574342122364819155786846722745'+ comment: LMFDB curve 2.2.17.1-8.4-a2 has conductor ideal $(w-4)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-6a+13\right){x}+33a-86$.+- params:+ D: '17'+ conductor: '8.4'+ class: a+ curve: '3'+ number: '25.381148684244729638311573693445491'+ comment: LMFDB curve 2.2.17.1-8.4-a3 has conductor ideal $(w-4)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+2a{x}+a$.+- params:+ D: '17'+ conductor: '8.4'+ class: a+ curve: '4'+ number: '25.381148684244729638311573693445491'+ comment: LMFDB curve 2.2.17.1-8.4-a4 has conductor ideal $(w-4)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-14a-23\right){x}-47a-74$.+- params:+ D: '17'+ conductor: '8.4'+ class: a+ curve: '5'+ number: '12.690574342122364819155786846722745'+ comment: LMFDB curve 2.2.17.1-8.4-a5 has conductor ideal $(w-4)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(7a-20\right){x}+15a-40$.+- params:+ D: '17'+ conductor: '8.4'+ class: a+ curve: '6'+ number: '6.3452871710611824095778934233613728'+ comment: LMFDB curve 2.2.17.1-8.4-a6 has conductor ideal $(w-4)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(-80a+205\right){x}-1186a+3038$.+- params:+ D: '17'+ conductor: '9.1'+ class: b+ curve: '1'+ number: '0.80854775674369725141866352864990439'+ comment: LMFDB curve 2.2.17.1-9.1-b1 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+{y}={x}^{3}-a{x}^{2}+\left(795a-2035\right){x}+17928a-45924$.+- params:+ D: '17'+ conductor: '9.1'+ class: b+ curve: '2'+ number: '20.213693918592431285466588216247609'+ comment: LMFDB curve 2.2.17.1-9.1-b2 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+{y}={x}^{3}-a{x}^{2}+\left(-5a+15\right){x}+2a-6$.+- params:+ D: '17'+ conductor: '9.1'+ class: a+ curve: '1'+ number: '15.988921889123692524258642767346565'+ comment: LMFDB curve 2.2.17.1-9.1-a1 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(48a-123\right){x}+291a-749$.+- params:+ D: '17'+ conductor: '9.1'+ class: a+ curve: '2'+ number: '15.988921889123692524258642767346565'+ comment: LMFDB curve 2.2.17.1-9.1-a2 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(32a-79\right){x}-131a+330$.+- params:+ D: '17'+ conductor: '9.1'+ class: a+ curve: '3'+ number: '7.9944609445618462621293213836732827'+ comment: LMFDB curve 2.2.17.1-9.1-a3 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(58a+92\right){x}+322a+503$.+- params:+ D: '17'+ conductor: '9.1'+ class: a+ curve: '4'+ number: '31.977843778247385048517285534693131'+ comment: LMFDB curve 2.2.17.1-9.1-a4 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-22a-33\right){x}+71a+111$.+- params:+ D: '17'+ conductor: '9.1'+ class: a+ curve: '5'+ number: '31.977843778247385048517285534693131'+ comment: LMFDB curve 2.2.17.1-9.1-a5 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(2a-4\right){x}-2a+3$.+- params:+ D: '17'+ conductor: '9.1'+ class: a+ curve: '6'+ number: '31.977843778247385048517285534693131'+ comment: LMFDB curve 2.2.17.1-9.1-a6 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-a-2\right){x}-1$.+- params:+ D: '17'+ conductor: '9.1'+ class: a+ curve: '7'+ number: '15.988921889123692524258642767346565'+ comment: LMFDB curve 2.2.17.1-9.1-a7 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-49a-74\right){x}-292a-457$.+- params:+ D: '17'+ conductor: '9.1'+ class: a+ curve: '8'+ number: '15.988921889123692524258642767346565'+ comment: LMFDB curve 2.2.17.1-9.1-a8 has conductor ideal $(3)$, rank $0$, and equation+ ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-31a-47\right){x}+99a+152$.+- params:+ D: '17'+ conductor: '16.1'+ class: a+ curve: '1'+ number: '1.5183209502654180195762491193956925'+ comment: LMFDB curve 2.2.17.1-16.1-a1 has conductor ideal $(4)$, rank $0$, and equation+ ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-38a-77\right){x}-268a-444$.+- params:+ D: '17'+ conductor: '16.1'+ class: a+ curve: '2'+ number: '13.664888552388762176186242074561232'+ comment: LMFDB curve 2.2.17.1-16.1-a2 has conductor ideal $(4)$, rank $0$, and equation+ ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(2a+3\right){x}$.+- params:+ D: '17'+ conductor: '16.1'+ class: a+ curve: '3'+ number: '13.664888552388762176186242074561232'+ comment: LMFDB curve 2.2.17.1-16.1-a3 has conductor ideal $(4)$, rank $0$, and equation+ ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+4{x}+a-4$.+- params:+ D: '17'+ conductor: '16.1'+ class: a+ curve: '4'+ number: '1.5183209502654180195762491193956925'+ comment: LMFDB curve 2.2.17.1-16.1-a4 has conductor ideal $(4)$, rank $0$, and equation+ ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(40a-116\right){x}+229a-596$.+- params:+ D: '17'+ conductor: '16.4'+ class: a+ curve: '1'+ number: '9.2352306551808894159070003676336332'+ comment: LMFDB curve 2.2.17.1-16.4-a1 has conductor ideal $(w+4)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-a-3\right){x}-6a-10$.+- params:+ D: '17'+ conductor: '16.4'+ class: a+ curve: '2'+ number: '18.470461310361778831814000735267266'+ comment: LMFDB curve 2.2.17.1-16.4-a2 has conductor ideal $(w+4)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}$.+- params:+ D: '17'+ conductor: '16.4'+ class: a+ curve: '3'+ number: '36.940922620723557663628001470534532'+ comment: LMFDB curve 2.2.17.1-16.4-a3 has conductor ideal $(w+4)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-9a-15\right){x}-6a-10$.+- params:+ D: '17'+ conductor: '16.4'+ class: a+ curve: '4'+ number: '18.470461310361778831814000735267266'+ comment: LMFDB curve 2.2.17.1-16.4-a4 has conductor ideal $(w+4)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+a{x}$.+- params:+ D: '17'+ conductor: '16.4'+ class: a+ curve: '5'+ number: '36.940922620723557663628001470534532'+ comment: LMFDB curve 2.2.17.1-16.4-a5 has conductor ideal $(w+4)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-124a-195\right){x}+916a+1430$.+- params:+ D: '17'+ conductor: '16.4'+ class: a+ curve: '6'+ number: '4.6176153275904447079535001838168166'+ comment: LMFDB curve 2.2.17.1-16.4-a6 has conductor ideal $(w+4)$, rank $0$, and+ equation ${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}-4a{x}-5a-20$.+- params:+ D: '17'+ conductor: '16.5'+ class: a+ curve: '1'+ number: '18.470461310361778831814000735267266'+ comment: LMFDB curve 2.2.17.1-16.5-a1 has conductor ideal $(-w+5)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}-2a{x}-a$.+- params:+ D: '17'+ conductor: '16.5'+ class: a+ curve: '2'+ number: '4.6176153275904447079535001838168166'+ comment: LMFDB curve 2.2.17.1-16.5-a2 has conductor ideal $(-w+5)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(7a-2\right){x}+5a-5$.+- params:+ D: '17'+ conductor: '16.5'+ class: a+ curve: '3'+ number: '18.470461310361778831814000735267266'+ comment: LMFDB curve 2.2.17.1-16.5-a3 has conductor ideal $(-w+5)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(2a+3\right){x}$.+- params:+ D: '17'+ conductor: '16.5'+ class: a+ curve: '4'+ number: '36.940922620723557663628001470534532'+ comment: LMFDB curve 2.2.17.1-16.5-a4 has conductor ideal $(-w+5)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(12a-22\right){x}-7a+26$.+- params:+ D: '17'+ conductor: '16.5'+ class: a+ curve: '5'+ number: '9.2352306551808894159070003676336332'+ comment: LMFDB curve 2.2.17.1-16.5-a5 has conductor ideal $(-w+5)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-a-4\right){x}+5a-16$.+- params:+ D: '17'+ conductor: '16.5'+ class: a+ curve: '6'+ number: '36.940922620723557663628001470534532'+ comment: LMFDB curve 2.2.17.1-16.5-a6 has conductor ideal $(-w+5)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(127a-317\right){x}-1109a+2848$.+- params:+ D: '17'+ conductor: '17.1'+ class: a+ curve: '1'+ number: '0.59836394096194868304712971345340286'+ comment: LMFDB curve 2.2.17.1-17.1-a1 has conductor ideal $(-2*w+1)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(330a-936\right){x}+4996a-13110$.+- params:+ D: '17'+ conductor: '17.1'+ class: a+ curve: '2'+ number: '2.3934557638477947321885188538136114'+ comment: LMFDB curve 2.2.17.1-17.1-a2 has conductor ideal $(-2*w+1)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-{x}-14$.+- params:+ D: '17'+ conductor: '17.1'+ class: a+ curve: '3'+ number: '38.295292221564715715016301661017783'+ comment: LMFDB curve 2.2.17.1-17.1-a3 has conductor ideal $(-2*w+1)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(6a+9\right){x}+4a+6$.+- params:+ D: '17'+ conductor: '17.1'+ class: a+ curve: '4'+ number: '38.295292221564715715016301661017783'+ comment: LMFDB curve 2.2.17.1-17.1-a4 has conductor ideal $(-2*w+1)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-{x}$.+- params:+ D: '17'+ conductor: '17.1'+ class: a+ curve: '5'+ number: '9.5738230553911789287540754152544457'+ comment: LMFDB curve 2.2.17.1-17.1-a5 has conductor ideal $(-2*w+1)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-6{x}-4$.+- params:+ D: '17'+ conductor: '17.1'+ class: a+ curve: '6'+ number: '38.295292221564715715016301661017783'+ comment: LMFDB curve 2.2.17.1-17.1-a6 has conductor ideal $(-2*w+1)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-6a+15\right){x}-4a+10$.+- params:+ D: '17'+ conductor: '17.1'+ class: a+ curve: '7'+ number: '2.3934557638477947321885188538136114'+ comment: LMFDB curve 2.2.17.1-17.1-a7 has conductor ideal $(-2*w+1)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-91{x}-310$.+- params:+ D: '17'+ conductor: '17.1'+ class: a+ curve: '8'+ number: '0.59836394096194868304712971345340286'+ comment: LMFDB curve 2.2.17.1-17.1-a8 has conductor ideal $(-2*w+1)$, rank $1$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-330a-606\right){x}-4996a-8114$.+- params:+ D: '17'+ conductor: '18.1'+ class: a+ curve: '1'+ number: '1.6806398324074782732863300944642873'+ comment: LMFDB curve 2.2.17.1-18.1-a1 has conductor ideal $(-3*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(304a-779\right){x}+4017a-10293$.+- params:+ D: '17'+ conductor: '18.1'+ class: a+ curve: '2'+ number: '26.890237318519652372581281511428598'+ comment: LMFDB curve 2.2.17.1-18.1-a2 has conductor ideal $(-3*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}-2a-3$.+- params:+ D: '17'+ conductor: '18.1'+ class: a+ curve: '3'+ number: '26.890237318519652372581281511428598'+ comment: LMFDB curve 2.2.17.1-18.1-a3 has conductor ideal $(-3*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}-2a{x}+1$.+- params:+ D: '17'+ conductor: '18.1'+ class: a+ curve: '4'+ number: '26.890237318519652372581281511428598'+ comment: LMFDB curve 2.2.17.1-18.1-a4 has conductor ideal $(-3*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(4a-9\right){x}-7a+17$.+- params:+ D: '17'+ conductor: '18.1'+ class: a+ curve: '5'+ number: '6.7225593296299130931453203778571495'+ comment: LMFDB curve 2.2.17.1-18.1-a5 has conductor ideal $(-3*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(19a-49\right){x}+53a-139$.+- params:+ D: '17'+ conductor: '18.1'+ class: a+ curve: '6'+ number: '1.6806398324074782732863300944642873'+ comment: LMFDB curve 2.2.17.1-18.1-a6 has conductor ideal $(-3*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-26a+41\right){x}+269a-769$.+- params:+ D: '17'+ conductor: '18.2'+ class: a+ curve: '1'+ number: '1.6806398324074782732863300944642873'+ comment: LMFDB curve 2.2.17.1-18.2-a1 has conductor ideal $(-3*w-3)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(25a+15\right){x}-270a-500$.+- params:+ D: '17'+ conductor: '18.2'+ class: a+ curve: '2'+ number: '26.890237318519652372581281511428598'+ comment: LMFDB curve 2.2.17.1-18.2-a2 has conductor ideal $(-3*w-3)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(a-1\right){x}-a+2$.+- params:+ D: '17'+ conductor: '18.2'+ class: a+ curve: '3'+ number: '26.890237318519652372581281511428598'+ comment: LMFDB curve 2.2.17.1-18.2-a3 has conductor ideal $(-3*w-3)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-5a-5\right){x}+6a+10$.+- params:+ D: '17'+ conductor: '18.2'+ class: a+ curve: '4'+ number: '6.7225593296299130931453203778571495'+ comment: LMFDB curve 2.2.17.1-18.2-a4 has conductor ideal $(-3*w-3)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-20a-30\right){x}-54a-86$.+- params:+ D: '17'+ conductor: '18.2'+ class: a+ curve: '5'+ number: '26.890237318519652372581281511428598'+ comment: LMFDB curve 2.2.17.1-18.2-a5 has conductor ideal $(-3*w-3)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(-a+2\right){x}+2a-5$.+- params:+ D: '17'+ conductor: '18.2'+ class: a+ curve: '6'+ number: '1.6806398324074782732863300944642873'+ comment: LMFDB curve 2.2.17.1-18.2-a6 has conductor ideal $(-3*w-3)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-305a-475\right){x}-4018a-6276$.+- params:+ D: '17'+ conductor: '26.1'+ class: a+ curve: '1'+ number: '26.233554248044369284068449972730033'+ comment: LMFDB curve 2.2.17.1-26.1-a1 has conductor ideal $(w+5)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(13a-32\right){x}-28a+71$.+- params:+ D: '17'+ conductor: '26.1'+ class: a+ curve: '2'+ number: '26.233554248044369284068449972730033'+ comment: LMFDB curve 2.2.17.1-26.1-a2 has conductor ideal $(w+5)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a+1\right){x}$.+- params:+ D: '17'+ conductor: '26.1'+ class: a+ curve: '3'+ number: '26.233554248044369284068449972730033'+ comment: LMFDB curve 2.2.17.1-26.1-a3 has conductor ideal $(w+5)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-17a-26\right){x}+66a+103$.+- params:+ D: '17'+ conductor: '26.1'+ class: a+ curve: '4'+ number: '6.5583885620110923210171124931825083'+ comment: LMFDB curve 2.2.17.1-26.1-a4 has conductor ideal $(w+5)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-4a-4\right){x}-13a-21$.+- params:+ D: '17'+ conductor: '26.2'+ class: a+ curve: '1'+ number: '14.766082388518213365984631171010280'+ comment: LMFDB curve 2.2.17.1-26.2-a1 has conductor ideal $(-3*w+5)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(139a-356\right){x}-1316a+3371$.+- params:+ D: '17'+ conductor: '26.2'+ class: a+ curve: '2'+ number: '7.3830411942591066829923155855051404'+ comment: LMFDB curve 2.2.17.1-26.2-a2 has conductor ideal $(-3*w+5)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(a-2\right){x}+2a-5$.+- params:+ D: '17'+ conductor: '26.2'+ class: a+ curve: '3'+ number: '3.6915205971295533414961577927525702'+ comment: LMFDB curve 2.2.17.1-26.2-a3 has conductor ideal $(-3*w+5)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-20a+52\right){x}+15a-39$.+- params:+ D: '17'+ conductor: '26.2'+ class: a+ curve: '4'+ number: '14.766082388518213365984631171010280'+ comment: LMFDB curve 2.2.17.1-26.2-a4 has conductor ideal $(-3*w+5)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(5a-13\right){x}$.+- params:+ D: '17'+ conductor: '26.2'+ class: a+ curve: '5'+ number: '14.766082388518213365984631171010280'+ comment: LMFDB curve 2.2.17.1-26.2-a5 has conductor ideal $(-3*w+5)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-10a-16\right){x}+25a+39$.+- params:+ D: '17'+ conductor: '26.2'+ class: a+ curve: '6'+ number: '14.766082388518213365984631171010280'+ comment: LMFDB curve 2.2.17.1-26.2-a6 has conductor ideal $(-3*w+5)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-14a-23\right){x}-39a-60$.+- params:+ D: '17'+ conductor: '26.2'+ class: a+ curve: '7'+ number: '7.3830411942591066829923155855051404'+ comment: LMFDB curve 2.2.17.1-26.2-a7 has conductor ideal $(-3*w+5)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-155a-251\right){x}+1582a+2462$.+- params:+ D: '17'+ conductor: '26.2'+ class: a+ curve: '8'+ number: '3.6915205971295533414961577927525702'+ comment: LMFDB curve 2.2.17.1-26.2-a8 has conductor ideal $(-3*w+5)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-229a-358\right){x}-2654a-4143$.+- params:+ D: '17'+ conductor: '26.3'+ class: a+ curve: '1'+ number: '7.3830411942591066829923155855051404'+ comment: LMFDB curve 2.2.17.1-26.3-a1 has conductor ideal $(3*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-a-1\right){x}-2a-3$.+- params:+ D: '17'+ conductor: '26.3'+ class: a+ curve: '2'+ number: '3.6915205971295533414961577927525702'+ comment: LMFDB curve 2.2.17.1-26.3-a2 has conductor ideal $(3*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(229a-587\right){x}+2654a-6797$.+- params:+ D: '17'+ conductor: '26.3'+ class: a+ curve: '3'+ number: '3.6915205971295533414961577927525702'+ comment: LMFDB curve 2.2.17.1-26.3-a3 has conductor ideal $(3*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(20a+32\right){x}-15a-24$.+- params:+ D: '17'+ conductor: '26.3'+ class: a+ curve: '4'+ number: '14.766082388518213365984631171010280'+ comment: LMFDB curve 2.2.17.1-26.3-a4 has conductor ideal $(3*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-5a-8\right){x}$.+- params:+ D: '17'+ conductor: '26.3'+ class: a+ curve: '5'+ number: '14.766082388518213365984631171010280'+ comment: LMFDB curve 2.2.17.1-26.3-a5 has conductor ideal $(3*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(14a-37\right){x}+39a-99$.+- params:+ D: '17'+ conductor: '26.3'+ class: a+ curve: '6'+ number: '14.766082388518213365984631171010280'+ comment: LMFDB curve 2.2.17.1-26.3-a6 has conductor ideal $(3*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(10a-26\right){x}-25a+64$.+- params:+ D: '17'+ conductor: '26.3'+ class: a+ curve: '7'+ number: '14.766082388518213365984631171010280'+ comment: LMFDB curve 2.2.17.1-26.3-a7 has conductor ideal $(3*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-139a-217\right){x}+1316a+2055$.+- params:+ D: '17'+ conductor: '26.3'+ class: a+ curve: '8'+ number: '7.3830411942591066829923155855051404'+ comment: LMFDB curve 2.2.17.1-26.3-a8 has conductor ideal $(3*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(155a-406\right){x}-1582a+4044$.+- params:+ D: '17'+ conductor: '26.4'+ class: a+ curve: '1'+ number: '6.5583885620110923210171124931825083'+ comment: LMFDB curve 2.2.17.1-26.4-a1 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(6a-10\right){x}+8a-25$.+- params:+ D: '17'+ conductor: '26.4'+ class: a+ curve: '2'+ number: '26.233554248044369284068449972730033'+ comment: LMFDB curve 2.2.17.1-26.4-a2 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+a{x}-1$.+- params:+ D: '17'+ conductor: '26.4'+ class: a+ curve: '3'+ number: '26.233554248044369284068449972730033'+ comment: LMFDB curve 2.2.17.1-26.4-a3 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-13a-19\right){x}+28a+43$.+- params:+ D: '17'+ conductor: '26.4'+ class: a+ curve: '4'+ number: '26.233554248044369284068449972730033'+ comment: LMFDB curve 2.2.17.1-26.4-a4 has conductor ideal $(w-6)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(17a-43\right){x}-66a+169$.+- params:+ D: '17'+ conductor: '32.3'+ class: a+ curve: '1'+ number: '3.8857831007688116673167024072515724'+ comment: LMFDB curve 2.2.17.1-32.3-a1 has conductor ideal $(-2*w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-60a+146\right){x}+1782a-4567$.+- params:+ D: '17'+ conductor: '32.3'+ class: a+ curve: '2'+ number: '5.8286746511532175009750536108773586'+ comment: LMFDB curve 2.2.17.1-32.3-a2 has conductor ideal $(-2*w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-4a-6\right){x}-16a-25$.+- params:+ D: '17'+ conductor: '32.3'+ class: a+ curve: '3'+ number: '1.9428915503844058336583512036257862'+ comment: LMFDB curve 2.2.17.1-32.3-a3 has conductor ideal $(-2*w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(21a+29\right){x}+404a+627$.+- params:+ D: '17'+ conductor: '32.3'+ class: a+ curve: '4'+ number: '11.657349302306435001950107221754717'+ comment: LMFDB curve 2.2.17.1-32.3-a4 has conductor ideal $(-2*w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(5a-19\right){x}-68a+171$.+- params:+ D: '17'+ conductor: '32.3'+ class: a+ curve: '5'+ number: '23.314698604612870003900214443509434'+ comment: LMFDB curve 2.2.17.1-32.3-a5 has conductor ideal $(-2*w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}-2{x}-4a-5$.+- params:+ D: '17'+ conductor: '32.3'+ class: a+ curve: '6'+ number: '0.97144577519220291682917560181289310'+ comment: LMFDB curve 2.2.17.1-32.3-a6 has conductor ideal $(-2*w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(6440a-16514\right){x}+410032a-1050341$.+- params:+ D: '17'+ conductor: '32.3'+ class: a+ curve: '7'+ number: '3.8857831007688116673167024072515724'+ comment: LMFDB curve 2.2.17.1-32.3-a7 has conductor ideal $(-2*w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(400a-1034\right){x}+6672a-17093$.+- params:+ D: '17'+ conductor: '32.3'+ class: a+ curve: '8'+ number: '11.657349302306435001950107221754717'+ comment: LMFDB curve 2.2.17.1-32.3-a8 has conductor ideal $(-2*w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(5a-19\right){x}+6a-19$.+- params:+ D: '17'+ conductor: '32.3'+ class: a+ curve: '9'+ number: '23.314698604612870003900214443509434'+ comment: LMFDB curve 2.2.17.1-32.3-a9 has conductor ideal $(-2*w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-20a-62\right){x}+44a+139$.+- params:+ D: '17'+ conductor: '32.3'+ class: a+ curve: '10'+ number: '7.7715662015376233346334048145031448'+ comment: LMFDB curve 2.2.17.1-32.3-a10 has conductor ideal $(-2*w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-145a-237\right){x}+1100a+1707$.+- params:+ D: '17'+ conductor: '32.3'+ class: a+ curve: '11'+ number: '2.9143373255766087504875268054386793'+ comment: LMFDB curve 2.2.17.1-32.3-a11 has conductor ideal $(-2*w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(75a-209\right){x}+618a-1607$.+- params:+ D: '17'+ conductor: '32.3'+ class: a+ curve: '12'+ number: '7.7715662015376233346334048145031448'+ comment: LMFDB curve 2.2.17.1-32.3-a12 has conductor ideal $(-2*w-6)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-2385a-3757\right){x}+86220a+134699$.+- params:+ D: '17'+ conductor: '32.4'+ class: a+ curve: '1'+ number: '1.9428915503844058336583512036257862'+ comment: LMFDB curve 2.2.17.1-32.4-a1 has conductor ideal $(2*w-8)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-23a+52\right){x}-405a+1032$.+- params:+ D: '17'+ conductor: '32.4'+ class: a+ curve: '2'+ number: '11.657349302306435001950107221754717'+ comment: LMFDB curve 2.2.17.1-32.4-a2 has conductor ideal $(2*w-8)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-7a-12\right){x}+67a+104$.+- params:+ D: '17'+ conductor: '32.4'+ class: a+ curve: '3'+ number: '3.8857831007688116673167024072515724'+ comment: LMFDB curve 2.2.17.1-32.4-a3 has conductor ideal $(2*w-8)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(58a+88\right){x}-1783a-2784$.+- params:+ D: '17'+ conductor: '32.4'+ class: a+ curve: '4'+ number: '5.8286746511532175009750536108773586'+ comment: LMFDB curve 2.2.17.1-32.4-a4 has conductor ideal $(2*w-8)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(2a-8\right){x}+15a-40$.+- params:+ D: '17'+ conductor: '32.4'+ class: a+ curve: '5'+ number: '11.657349302306435001950107221754717'+ comment: LMFDB curve 2.2.17.1-32.4-a5 has conductor ideal $(2*w-8)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-7a-12\right){x}-7a-12$.+- params:+ D: '17'+ conductor: '32.4'+ class: a+ curve: '6'+ number: '7.7715662015376233346334048145031448'+ comment: LMFDB curve 2.2.17.1-32.4-a6 has conductor ideal $(2*w-8)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(2388a-6147\right){x}-92365a+236610$.+- params:+ D: '17'+ conductor: '32.4'+ class: a+ curve: '7'+ number: '7.7715662015376233346334048145031448'+ comment: LMFDB curve 2.2.17.1-32.4-a7 has conductor ideal $(2*w-8)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(148a-387\right){x}-1485a+3778$.+- params:+ D: '17'+ conductor: '32.4'+ class: a+ curve: '8'+ number: '23.314698604612870003900214443509434'+ comment: LMFDB curve 2.2.17.1-32.4-a8 has conductor ideal $(2*w-8)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(3a-7\right){x}-a+2$.+- params:+ D: '17'+ conductor: '32.4'+ class: a+ curve: '9'+ number: '2.9143373255766087504875268054386793'+ comment: LMFDB curve 2.2.17.1-32.4-a9 has conductor ideal $(2*w-8)$, rank $0$, and+ equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-77a-132\right){x}-619a-988$.+- params:+ D: '17'+ conductor: '32.4'+ class: a+ curve: '10'+ number: '3.8857831007688116673167024072515724'+ comment: LMFDB curve 2.2.17.1-32.4-a10 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-402a-632\right){x}-6673a-10420$.+- params:+ D: '17'+ conductor: '32.4'+ class: a+ curve: '11'+ number: '23.314698604612870003900214443509434'+ comment: LMFDB curve 2.2.17.1-32.4-a11 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(23a-87\right){x}-129a+354$.+- params:+ D: '17'+ conductor: '32.4'+ class: a+ curve: '12'+ number: '0.97144577519220291682917560181289310'+ comment: LMFDB curve 2.2.17.1-32.4-a12 has conductor ideal $(2*w-8)$, rank $0$,+ and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-6442a-10072\right){x}-410033a-640308$.+- params:+ D: '17'+ conductor: '34.1'+ class: a+ curve: '1'+ number: '23.308160723371857179104589981479732'+ comment: LMFDB curve 2.2.17.1-34.1-a1 has conductor ideal $(3*w-10)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}-{x}^{2}-3{x}+85a-219$.+- params:+ D: '17'+ conductor: '34.1'+ class: a+ curve: '2'+ number: '2.5897956359302063532338433312755258'+ comment: LMFDB curve 2.2.17.1-34.1-a2 has conductor ideal $(3*w-10)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(45a+71\right){x}+183a+285$.+- params:+ D: '17'+ conductor: '34.2'+ class: a+ curve: '1'+ number: '2.5897956359302063532338433312755258'+ comment: LMFDB curve 2.2.17.1-34.2-a1 has conductor ideal $(3*w+7)$, rank $0$, and+ equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-43a+117\right){x}-112a+290$.+- params:+ D: '17'+ conductor: '34.2'+ class: a+ curve: '2'+ number: '23.308160723371857179104589981479732'+ comment: LMFDB curve 2.2.17.1-34.2-a2 has conductor ideal $(3*w+7)$, rank $0$, and+ equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-2a-2\right){x}-86a-134$.+- params:+ D: '17'+ conductor: '36.2'+ class: a+ curve: '1'+ number: '7.6987665371845856866470985229441405'+ comment: LMFDB curve 2.2.17.1-36.2-a1 has conductor ideal $(3*w)$, rank $0$, and+ equation ${y}^2+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(2a+3\right){x}+10a+15$.+- params:+ D: '17'+ conductor: '36.1'+ class: a+ curve: '1'+ number: '0.32483728598412977601967810433656373'+ comment: LMFDB curve 2.2.17.1-36.1-a1 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(1914a-5087\right){x}+68090a-175221$.+- params:+ D: '17'+ conductor: '36.1'+ class: a+ curve: '2'+ number: '8.1209321496032444004919526084140934'+ comment: LMFDB curve 2.2.17.1-36.1-a2 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(4a-7\right){x}+4a-13$.+- params:+ D: '17'+ conductor: '36.1'+ class: a+ curve: '3'+ number: '8.1209321496032444004919526084140934'+ comment: LMFDB curve 2.2.17.1-36.1-a3 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-3a-3\right){x}-9a-11$.+- params:+ D: '17'+ conductor: '36.1'+ class: a+ curve: '4'+ number: '16.241864299206488800983905216828186'+ comment: LMFDB curve 2.2.17.1-36.1-a4 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-174a-270\right){x}+1819a+2840$.+- params:+ D: '17'+ conductor: '36.1'+ class: a+ curve: '5'+ number: '0.64967457196825955203935620867312747'+ comment: LMFDB curve 2.2.17.1-36.1-a5 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-19854a-31020\right){x}-2108519a-3292606$.+- params:+ D: '17'+ conductor: '36.1'+ class: a+ curve: '6'+ number: '16.241864299206488800983905216828186'+ comment: LMFDB curve 2.2.17.1-36.1-a6 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-2734a-4270\right){x}+113851a+177784$.+- params:+ D: '17'+ conductor: '36.1'+ class: a+ curve: '7'+ number: '0.64967457196825955203935620867312747'+ comment: LMFDB curve 2.2.17.1-36.1-a7 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-19694a-30770\right){x}-2145537a-3350412$.+- params:+ D: '17'+ conductor: '36.1'+ class: a+ curve: '8'+ number: '0.32483728598412977601967810433656373'+ comment: LMFDB curve 2.2.17.1-36.1-a8 has conductor ideal $(6)$, rank $0$, and equation+ ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-1913a-3173\right){x}-70005a-110303$.+- params:+ D: '17'+ conductor: '36.3'+ class: a+ curve: '1'+ number: '7.6987665371845856866470985229441405'+ comment: LMFDB curve 2.2.17.1-36.3-a1 has conductor ideal $(3*w-3)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+4{x}-10a+21$.+- params:+ D: '17'+ conductor: '38.1'+ class: a+ curve: '1'+ number: '16.314546895013664966479225056034003'+ comment: LMFDB curve 2.2.17.1-38.1-a1 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(a+3\right){x}+a+1$.+- params:+ D: '17'+ conductor: '38.1'+ class: a+ curve: '2'+ number: '1.8127274327792961073865805617815559'+ comment: LMFDB curve 2.2.17.1-38.1-a2 has conductor ideal $(w+6)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(21a-47\right){x}+54a-135$.+- params:+ D: '17'+ conductor: '38.2'+ class: a+ curve: '1'+ number: '31.073080620971144785282680425768322'+ comment: LMFDB curve 2.2.17.1-38.2-a1 has conductor ideal $(-3*w+2)$, rank $1$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(3a-7\right){x}-2a+5$.+- params:+ D: '17'+ conductor: '38.2'+ class: a+ curve: '2'+ number: '31.073080620971144785282680425768322'+ comment: LMFDB curve 2.2.17.1-38.2-a2 has conductor ideal $(-3*w+2)$, rank $1$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-4a-5\right){x}+a+1$.+- params:+ D: '17'+ conductor: '38.2'+ class: a+ curve: '3'+ number: '15.536540310485572392641340212884161'+ comment: LMFDB curve 2.2.17.1-38.2-a3 has conductor ideal $(-3*w+2)$, rank $1$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-5\right){x}+a-6$.+- params:+ D: '17'+ conductor: '38.2'+ class: a+ curve: '4'+ number: '15.536540310485572392641340212884161'+ comment: LMFDB curve 2.2.17.1-38.2-a4 has conductor ideal $(-3*w+2)$, rank $1$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-49a-75\right){x}+243a+379$.+- params:+ D: '17'+ conductor: '38.3'+ class: a+ curve: '1'+ number: '15.536540310485572392641340212884161'+ comment: LMFDB curve 2.2.17.1-38.3-a1 has conductor ideal $(3*w-1)$, rank $1$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(48a-124\right){x}-244a+622$.+- params:+ D: '17'+ conductor: '38.3'+ class: a+ curve: '2'+ number: '31.073080620971144785282680425768322'+ comment: LMFDB curve 2.2.17.1-38.3-a2 has conductor ideal $(3*w-1)$, rank $1$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(3a-9\right){x}-2a+2$.+- params:+ D: '17'+ conductor: '38.3'+ class: a+ curve: '3'+ number: '31.073080620971144785282680425768322'+ comment: LMFDB curve 2.2.17.1-38.3-a3 has conductor ideal $(3*w-1)$, rank $1$, and+ equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(-3a-4\right){x}+2a+3$.+- params:+ D: '17'+ conductor: '38.3'+ class: a+ curve: '4'+ number: '15.536540310485572392641340212884161'+ comment: LMFDB curve 2.2.17.1-38.3-a4 has conductor ideal $(3*w-1)$, rank $1$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-2a-3\right){x}-2a-4$.+- params:+ D: '17'+ conductor: '38.4'+ class: a+ curve: '1'+ number: '1.8127274327792961073865805617815559'+ comment: LMFDB curve 2.2.17.1-38.4-a1 has conductor ideal $(w-7)$, rank $0$, and+ equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-19a-29\right){x}-103a-163$.+- params:+ D: '17'+ conductor: '38.4'+ class: a+ curve: '2'+ number: '16.314546895013664966479225056034003'+ comment: LMFDB curve 2.2.17.1-38.4-a2 has conductor ideal $(w-7)$, rank $0$, and+ equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a+1\right){x}$.+- params:+ D: '17'+ conductor: '43.1'+ class: a+ curve: '1'+ number: '6.8312904251152027244164700707668431'+ comment: LMFDB curve 2.2.17.1-43.1-a1 has conductor ideal $(-4*w+7)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(8a+12\right){x}-26a-41$.+- params:+ D: '17'+ conductor: '43.1'+ class: a+ curve: '2'+ number: '27.325161700460810897665880283067372'+ comment: LMFDB curve 2.2.17.1-43.1-a2 has conductor ideal $(-4*w+7)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-2a-3\right){x}$.+- params:+ D: '17'+ conductor: '43.1'+ class: a+ curve: '3'+ number: '54.650323400921621795331760566134745'+ comment: LMFDB curve 2.2.17.1-43.1-a3 has conductor ideal $(-4*w+7)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(3a-7\right){x}-7a+18$.+- params:+ D: '17'+ conductor: '43.1'+ class: a+ curve: '4'+ number: '13.662580850230405448832940141533686'+ comment: LMFDB curve 2.2.17.1-43.1-a4 has conductor ideal $(-4*w+7)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-a+7\right){x}-a+4$.+- params:+ D: '17'+ conductor: '43.2'+ class: a+ curve: '1'+ number: '13.662580850230405448832940141533686'+ comment: LMFDB curve 2.2.17.1-43.2-a1 has conductor ideal $(4*w+3)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(3a+4\right){x}-a-2$.+- params:+ D: '17'+ conductor: '43.2'+ class: a+ curve: '2'+ number: '27.325161700460810897665880283067372'+ comment: LMFDB curve 2.2.17.1-43.2-a2 has conductor ideal $(4*w+3)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(4a-6\right){x}+3a-6$.+- params:+ D: '17'+ conductor: '43.2'+ class: a+ curve: '3'+ number: '6.8312904251152027244164700707668431'+ comment: LMFDB curve 2.2.17.1-43.2-a3 has conductor ideal $(4*w+3)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-6a+19\right){x}+19a-48$.+- params:+ D: '17'+ conductor: '43.2'+ class: a+ curve: '4'+ number: '54.650323400921621795331760566134745'+ comment: LMFDB curve 2.2.17.1-43.2-a4 has conductor ideal $(4*w+3)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(-3a-4\right){x}+7a+11$.+- params:+ D: '17'+ conductor: '47.1'+ class: a+ curve: '1'+ number: '28.429745208095118018763580523484026'+ comment: LMFDB curve 2.2.17.1-47.1-a1 has conductor ideal $(-2*w+9)$, rank $1$,+ and equation ${y}^2+{y}={x}^{3}+\left(a-1\right){x}^{2}+{x}$.+- params:+ D: '17'+ conductor: '47.2'+ class: a+ curve: '1'+ number: '28.429745208095118018763580523484026'+ comment: LMFDB curve 2.2.17.1-47.2-a1 has conductor ideal $(2*w+7)$, rank $1$, and+ equation ${y}^2+{y}={x}^{3}-a{x}^{2}+{x}$.+- params:+ D: '17'+ conductor: '50.1'+ class: b+ curve: '1'+ number: '6.5289654835480120146201397607598891'+ comment: LMFDB curve 2.2.17.1-50.1-b1 has conductor ideal $(-5*w+10)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+{x}^{2}+\left(6a-14\right){x}+13a-32$.+- params:+ D: '17'+ conductor: '50.1'+ class: a+ curve: '1'+ number: '17.459105530408123266719111137755593'+ comment: LMFDB curve 2.2.17.1-50.1-a1 has conductor ideal $(-5*w+10)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(14a-34\right){x}-24a+57$.+- params:+ D: '17'+ conductor: '50.1'+ class: a+ curve: '2'+ number: '1.0911940956505077041699444461097246'+ comment: LMFDB curve 2.2.17.1-50.1-a2 has conductor ideal $(-5*w+10)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(111a-33\right){x}+97a-1131$.+- params:+ D: '17'+ conductor: '50.1'+ class: a+ curve: '3'+ number: '4.3647763826020308166797777844388984'+ comment: LMFDB curve 2.2.17.1-50.1-a3 has conductor ideal $(-5*w+10)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-14a-33\right){x}-3a-31$.+- params:+ D: '17'+ conductor: '50.1'+ class: a+ curve: '4'+ number: '17.459105530408123266719111137755593'+ comment: LMFDB curve 2.2.17.1-50.1-a4 has conductor ideal $(-5*w+10)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-9a-13\right){x}+27a+41$.+- params:+ D: '17'+ conductor: '50.1'+ class: a+ curve: '5'+ number: '1.0911940956505077041699444461097246'+ comment: LMFDB curve 2.2.17.1-50.1-a5 has conductor ideal $(-5*w+10)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-219a-353\right){x}-2403a-3779$.+- params:+ D: '17'+ conductor: '50.1'+ class: a+ curve: '6'+ number: '17.459105530408123266719111137755593'+ comment: LMFDB curve 2.2.17.1-50.1-a6 has conductor ideal $(-5*w+10)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-a+2\right){x}+7a-21$.+- params:+ D: '17'+ conductor: '50.1'+ class: c+ curve: '1'+ number: '1.6377545422960274909199797508891036'+ comment: LMFDB curve 2.2.17.1-50.1-c1 has conductor ideal $(-5*w+10)$, rank $0$,+ and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-33a-52\right){x}-250a-391$.+- params:+ D: '17'+ conductor: '50.2'+ class: a+ curve: '1'+ number: '1.0911940956505077041699444461097246'+ comment: LMFDB curve 2.2.17.1-50.2-a1 has conductor ideal $(-5*w-5)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(218a-572\right){x}+2402a-6182$.+- params:+ D: '17'+ conductor: '50.2'+ class: a+ curve: '2'+ number: '17.459105530408123266719111137755593'+ comment: LMFDB curve 2.2.17.1-50.2-a2 has conductor ideal $(-5*w-5)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+2a{x}-10a-14$.+- params:+ D: '17'+ conductor: '50.2'+ class: a+ curve: '3'+ number: '17.459105530408123266719111137755593'+ comment: LMFDB curve 2.2.17.1-50.2-a3 has conductor ideal $(-5*w-5)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-13a-20\right){x}+9a+14$.+- params:+ D: '17'+ conductor: '50.2'+ class: a+ curve: '4'+ number: '17.459105530408123266719111137755593'+ comment: LMFDB curve 2.2.17.1-50.2-a4 has conductor ideal $(-5*w-5)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(8a-22\right){x}-28a+68$.+- params:+ D: '17'+ conductor: '50.2'+ class: a+ curve: '5'+ number: '4.3647763826020308166797777844388984'+ comment: LMFDB curve 2.2.17.1-50.2-a5 has conductor ideal $(-5*w-5)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(13a-47\right){x}+2a-34$.+- params:+ D: '17'+ conductor: '50.2'+ class: a+ curve: '6'+ number: '1.0911940956505077041699444461097246'+ comment: LMFDB curve 2.2.17.1-50.2-a6 has conductor ideal $(-5*w-5)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-112a+78\right){x}-98a-1034$.+- params:+ D: '17'+ conductor: '50.2'+ class: b+ curve: '1'+ number: '6.5289654835480120146201397607598891'+ comment: LMFDB curve 2.2.17.1-50.2-b1 has conductor ideal $(-5*w-5)$, rank $0$,+ and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-6a-8\right){x}-7a-11$.+- params:+ D: '17'+ conductor: '50.2'+ class: c+ curve: '1'+ number: '1.6377545422960274909199797508891036'+ comment: LMFDB curve 2.2.17.1-50.2-c1 has conductor ideal $(-5*w-5)$, rank $0$,+ and equation ${y}^2+a{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(37a-91\right){x}+160a-409$.+- params:+ D: '17'+ conductor: '52.3'+ class: b+ curve: '1'+ number: '45.060840259265797091824272258690125'+ comment: LMFDB curve 2.2.17.1-52.3-b1 has conductor ideal $(w+7)$, rank $1$, and+ equation ${y}^2+\left(a+1\right){y}={x}^{3}+\left(-16a-25\right){x}+50a+78$.+- params:+ D: '17'+ conductor: '52.3'+ class: a+ curve: '1'+ number: '1.2873560106115534530068741674792615'+ comment: LMFDB curve 2.2.17.1-52.3-a1 has conductor ideal $(w+7)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(301a-771\right){x}+4140a-10608$.+- params:+ D: '17'+ conductor: '52.3'+ class: a+ curve: '2'+ number: '11.586204095503981077061867507313353'+ comment: LMFDB curve 2.2.17.1-52.3-a2 has conductor ideal $(w+7)$, rank $0$, and+ equation ${y}^2+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-2a-3\right){x}-7a-11$.+- params:+ D: '17'+ conductor: '52.1'+ class: b+ curve: '1'+ number: '1.6661844116218305808085330193543682'+ comment: LMFDB curve 2.2.17.1-52.1-b1 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(532a-1365\right){x}-3584a+9177$.+- params:+ D: '17'+ conductor: '52.1'+ class: b+ curve: '2'+ number: '14.995659704596475227276797174189314'+ comment: LMFDB curve 2.2.17.1-52.1-b2 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(167a+263\right){x}+2745a+4287$.+- params:+ D: '17'+ conductor: '52.1'+ class: b+ curve: '3'+ number: '3.3323688232436611616170660387087365'+ comment: LMFDB curve 2.2.17.1-52.1-b3 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(22a-81\right){x}+113a-312$.+- params:+ D: '17'+ conductor: '52.1'+ class: b+ curve: '4'+ number: '29.991319409192950454553594348378628'+ comment: LMFDB curve 2.2.17.1-52.1-b4 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(27a-70\right){x}-99a+252$.+- params:+ D: '17'+ conductor: '52.1'+ class: b+ curve: '5'+ number: '14.995659704596475227276797174189314'+ comment: LMFDB curve 2.2.17.1-52.1-b5 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-2a-3\right){x}-5a-8$.+- params:+ D: '17'+ conductor: '52.1'+ class: b+ curve: '6'+ number: '3.3323688232436611616170660387087365'+ comment: LMFDB curve 2.2.17.1-52.1-b6 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(282a-725\right){x}+3796a-9727$.+- params:+ D: '17'+ conductor: '52.1'+ class: b+ curve: '7'+ number: '29.991319409192950454553594348378628'+ comment: LMFDB curve 2.2.17.1-52.1-b7 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-3a-6\right){x}+3a+4$.+- params:+ D: '17'+ conductor: '52.1'+ class: b+ curve: '8'+ number: '1.6661844116218305808085330193543682'+ comment: LMFDB curve 2.2.17.1-52.1-b8 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-197a-308\right){x}-2355a-3682$.+- params:+ D: '17'+ conductor: '52.1'+ class: a+ curve: '1'+ number: '1.7329007617614521261225325639478986'+ comment: LMFDB curve 2.2.17.1-52.1-a1 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(31a-81\right){x}+1377a-3529$.+- params:+ D: '17'+ conductor: '52.1'+ class: a+ curve: '2'+ number: '15.596106855853069135102793075531087'+ comment: LMFDB curve 2.2.17.1-52.1-a2 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-4a+9\right){x}-51a+129$.+- params:+ D: '17'+ conductor: '52.1'+ class: a+ curve: '3'+ number: '31.192213711706138270205586151062175'+ comment: LMFDB curve 2.2.17.1-52.1-a3 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}-2{x}-a-1$.+- params:+ D: '17'+ conductor: '52.1'+ class: a+ curve: '4'+ number: '3.4658015235229042522450651278957972'+ comment: LMFDB curve 2.2.17.1-52.1-a4 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-5a-42\right){x}-20a-125$.+- params:+ D: '17'+ conductor: '52.1'+ class: c+ curve: '1'+ number: '0.18650235464297657510790896969240795'+ comment: LMFDB curve 2.2.17.1-52.1-c1 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(5998a-15400\right){x}+359411a-920755$.+- params:+ D: '17'+ conductor: '52.1'+ class: c+ curve: '2'+ number: '9.1386153775058521802875395149279896'+ comment: LMFDB curve 2.2.17.1-52.1-c2 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-12a+30\right){x}-153a+389$.+- params:+ D: '17'+ conductor: '52.1'+ class: c+ curve: '3'+ number: '18.277230755011704360575079029855979'+ comment: LMFDB curve 2.2.17.1-52.1-c3 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-5a-13\right){x}+19a+33$.+- params:+ D: '17'+ conductor: '52.1'+ class: c+ curve: '4'+ number: '0.37300470928595315021581793938481590'+ comment: LMFDB curve 2.2.17.1-52.1-c4 has conductor ideal $(-4*w+6)$, rank $0$,+ and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-775a-3673\right){x}-26663a-89359$.+- params:+ D: '17'+ conductor: '52.2'+ class: a+ curve: '1'+ number: '1.7329007617614521261225325639478986'+ comment: LMFDB curve 2.2.17.1-52.2-a1 has conductor ideal $(4*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-32a-50\right){x}-1378a-2152$.+- params:+ D: '17'+ conductor: '52.2'+ class: a+ curve: '2'+ number: '15.596106855853069135102793075531087'+ comment: LMFDB curve 2.2.17.1-52.2-a2 has conductor ideal $(4*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(3a+5\right){x}+50a+78$.+- params:+ D: '17'+ conductor: '52.2'+ class: a+ curve: '3'+ number: '31.192213711706138270205586151062175'+ comment: LMFDB curve 2.2.17.1-52.2-a3 has conductor ideal $(4*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-a-1\right){x}-1$.+- params:+ D: '17'+ conductor: '52.2'+ class: a+ curve: '4'+ number: '3.4658015235229042522450651278957972'+ comment: LMFDB curve 2.2.17.1-52.2-a4 has conductor ideal $(4*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(4a-46\right){x}+19a-144$.+- params:+ D: '17'+ conductor: '52.2'+ class: b+ curve: '1'+ number: '1.6661844116218305808085330193543682'+ comment: LMFDB curve 2.2.17.1-52.2-b1 has conductor ideal $(4*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(197a-505\right){x}+2355a-6037$.+- params:+ D: '17'+ conductor: '52.2'+ class: b+ curve: '2'+ number: '14.995659704596475227276797174189314'+ comment: LMFDB curve 2.2.17.1-52.2-b2 has conductor ideal $(4*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(2a-5\right){x}+5a-13$.+- params:+ D: '17'+ conductor: '52.2'+ class: b+ curve: '3'+ number: '1.6661844116218305808085330193543682'+ comment: LMFDB curve 2.2.17.1-52.2-b3 has conductor ideal $(4*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-533a-833\right){x}+3583a+5593$.+- params:+ D: '17'+ conductor: '52.2'+ class: b+ curve: '4'+ number: '29.991319409192950454553594348378628'+ comment: LMFDB curve 2.2.17.1-52.2-b4 has conductor ideal $(4*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(2a-8\right){x}-4a+8$.+- params:+ D: '17'+ conductor: '52.2'+ class: b+ curve: '5'+ number: '29.991319409192950454553594348378628'+ comment: LMFDB curve 2.2.17.1-52.2-b5 has conductor ideal $(4*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-28a-43\right){x}+98a+153$.+- params:+ D: '17'+ conductor: '52.2'+ class: b+ curve: '6'+ number: '3.3323688232436611616170660387087365'+ comment: LMFDB curve 2.2.17.1-52.2-b6 has conductor ideal $(4*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-283a-443\right){x}-3797a-5931$.+- params:+ D: '17'+ conductor: '52.2'+ class: b+ curve: '7'+ number: '14.995659704596475227276797174189314'+ comment: LMFDB curve 2.2.17.1-52.2-b7 has conductor ideal $(4*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(-167a+430\right){x}-2745a+7032$.+- params:+ D: '17'+ conductor: '52.2'+ class: b+ curve: '8'+ number: '3.3323688232436611616170660387087365'+ comment: LMFDB curve 2.2.17.1-52.2-b8 has conductor ideal $(4*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-23a-58\right){x}-114a-198$.+- params:+ D: '17'+ conductor: '52.2'+ class: c+ curve: '1'+ number: '0.18650235464297657510790896969240795'+ comment: LMFDB curve 2.2.17.1-52.2-c1 has conductor ideal $(4*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-5999a-9401\right){x}-359412a-561343$.+- params:+ D: '17'+ conductor: '52.2'+ class: c+ curve: '2'+ number: '9.1386153775058521802875395149279896'+ comment: LMFDB curve 2.2.17.1-52.2-c2 has conductor ideal $(4*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(11a+19\right){x}+152a+237$.+- params:+ D: '17'+ conductor: '52.2'+ class: c+ curve: '3'+ number: '18.277230755011704360575079029855979'+ comment: LMFDB curve 2.2.17.1-52.2-c3 has conductor ideal $(4*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(6a-18\right){x}-15a+35$.+- params:+ D: '17'+ conductor: '52.2'+ class: c+ curve: '4'+ number: '0.37300470928595315021581793938481590'+ comment: LMFDB curve 2.2.17.1-52.2-c4 has conductor ideal $(4*w+2)$, rank $0$, and+ equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(776a-4448\right){x}+27437a-120469$.+- params:+ D: '17'+ conductor: '52.6'+ class: b+ curve: '1'+ number: '45.060840259265797091824272258690125'+ comment: LMFDB curve 2.2.17.1-52.6-b1 has conductor ideal $(w-8)$, rank $1$, and+ equation ${y}^2+a{y}={x}^{3}+\left(16a-41\right){x}-51a+129$.+- params:+ D: '17'+ conductor: '52.6'+ class: a+ curve: '1'+ number: '1.2873560106115534530068741674792615'+ comment: LMFDB curve 2.2.17.1-52.6-a1 has conductor ideal $(w-8)$, rank $0$, and+ equation ${y}^2+a{y}={x}^{3}-{x}^{2}+\left(-301a-470\right){x}-4141a-6467$.+- params:+ D: '17'+ conductor: '52.6'+ class: a+ curve: '2'+ number: '11.586204095503981077061867507313353'+ comment: LMFDB curve 2.2.17.1-52.6-a2 has conductor ideal $(w-8)$, rank $0$, and+ equation ${y}^2+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(4a-6\right){x}+9a-23$.
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