Periods of elliptic curves over real quadratic fields

$D$

label

$\Omega_{E/K}$

5

31.1-a1:

51.508839712536626724604612731543070

comment: LMFDB curve 2.2.5.1-31.1-a1 has conductor ideal $(5*w-2)$, rank $0$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+w{x}$.

5

31.1-a2:

1.6096512410167695851438941478607209

comment: LMFDB curve 2.2.5.1-31.1-a2 has conductor ideal $(5*w-2)$, rank $0$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(133w-141\right){x}+737w-764$.

5

31.1-a3:

6.4386049640670783405755765914428837

comment: LMFDB curve 2.2.5.1-31.1-a3 has conductor ideal $(5*w-2)$, rank $0$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}-{x}^{2}+\left(-12w-21\right){x}+42w+10$.

5

31.1-a4:

1.6096512410167695851438941478607209

comment: LMFDB curve 2.2.5.1-31.1-a4 has conductor ideal $(5*w-2)$, rank $0$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(31w-75\right){x}+141w-303$.

5

31.1-a5:

25.754419856268313362302306365771535

comment: LMFDB curve 2.2.5.1-31.1-a5 has conductor ideal $(5*w-2)$, rank $0$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(w-5\right){x}+3w-5$.

5

31.1-a6:

12.877209928134156681151153182885767

comment: LMFDB curve 2.2.5.1-31.1-a6 has conductor ideal $(5*w-2)$, rank $0$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-18w+15\right){x}+171w-265$.

5

31.2-a1:

1.6096512410167695851438941478607209

comment: LMFDB curve 2.2.5.1-31.2-a1 has conductor ideal $(5*w-3)$, rank $0$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-30w-45\right){x}-111w-117$.

5

31.2-a2:

12.877209928134156681151153182885767

comment: LMFDB curve 2.2.5.1-31.2-a2 has conductor ideal $(5*w-3)$, rank $0$, and equation ${y}^2+w{x}{y}+\left(w+1\right){y}={x}^{3}+{x}^{2}+\left(16w-2\right){x}-172w-94$.

5

31.2-a3:

51.508839712536626724604612731543070

comment: LMFDB curve 2.2.5.1-31.2-a3 has conductor ideal $(5*w-3)$, rank $0$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}$.

5

31.2-a4:

25.754419856268313362302306365771535

comment: LMFDB curve 2.2.5.1-31.2-a4 has conductor ideal $(5*w-3)$, rank $0$, and equation ${y}^2+{x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}-5{x}-3w+3$.

5

31.2-a5:

6.4386049640670783405755765914428837

comment: LMFDB curve 2.2.5.1-31.2-a5 has conductor ideal $(5*w-3)$, rank $0$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(10w-32\right){x}-43w+53$.

5

31.2-a6:

1.6096512410167695851438941478607209

comment: LMFDB curve 2.2.5.1-31.2-a6 has conductor ideal $(5*w-3)$, rank $0$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+\left(-w-1\right){x}^{2}+\left(-135w-7\right){x}-738w-26$.

5

36.1-a1:

44.299621696875096561752925819698961

comment: LMFDB curve 2.2.5.1-36.1-a1 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+w{x}^{2}$.

5

36.1-a2:

1.7719848678750038624701170327879584

comment: LMFDB curve 2.2.5.1-36.1-a2 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+\left(w+1\right){x}{y}+w{y}={x}^{3}+w{x}^{2}+\left(-5w-5\right){x}-51w-37$.

5

36.1-a3:

1.7719848678750038624701170327879584

comment: LMFDB curve 2.2.5.1-36.1-a3 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(165w-331\right){x}+1352w-2408$.

5

36.1-a4:

44.299621696875096561752925819698961

comment: LMFDB curve 2.2.5.1-36.1-a4 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(w-1\right){x}^{2}+\left(10w-21\right){x}-31w+51$.

5

41.1-a1:

46.260878468940992115535235203395846

comment: LMFDB curve 2.2.5.1-41.1-a1 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+w{y}={x}^{3}-w{x}^{2}$.

5

41.1-a2:

0.94409956059063249215378031027338463

comment: LMFDB curve 2.2.5.1-41.1-a2 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+w{y}={x}^{3}-w{x}^{2}+\left(10w-40\right){x}+31w-113$.

5

41.2-a1:

0.94409956059063249215378031027338463

comment: LMFDB curve 2.2.5.1-41.2-a1 has conductor ideal $(w-7)$, rank $0$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(-10w-30\right){x}-32w-82$.

5

41.2-a2:

46.260878468940992115535235203395846

comment: LMFDB curve 2.2.5.1-41.2-a2 has conductor ideal $(w-7)$, rank $0$, and equation ${y}^2+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}-w$.

5

45.1-a1:

0.12260555513695878593710348088219652

comment: LMFDB curve 2.2.5.1-45.1-a1 has conductor ideal $(-6*w+3)$, rank $0$, and equation ${y}^2+w{x}{y}+{y}={x}^{3}+\left(w+1\right){x}^{2}+\left(-4364w-7739\right){x}-255406w-296465$.

5

45.1-a2:

0.49042222054783514374841392352878611

comment: LMFDB curve 2.2.5.1-45.1-a2 has conductor ideal $(-6*w+3)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-110{x}-880$.

5

45.1-a3:

31.387022115061449199898491105842311

comment: LMFDB curve 2.2.5.1-45.1-a3 has conductor ideal $(-6*w+3)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}$.

5

45.1-a4:

1.9616888821913405749936556941151444

comment: LMFDB curve 2.2.5.1-45.1-a4 has conductor ideal $(-6*w+3)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+35{x}-28$.

5

45.1-a5:

7.8467555287653622999746227764605778

comment: LMFDB curve 2.2.5.1-45.1-a5 has conductor ideal $(-6*w+3)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-10{x}-10$.

5

45.1-a6:

31.387022115061449199898491105842311

comment: LMFDB curve 2.2.5.1-45.1-a6 has conductor ideal $(-6*w+3)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-5{x}+2$.

5

45.1-a7:

1.9616888821913405749936556941151444

comment: LMFDB curve 2.2.5.1-45.1-a7 has conductor ideal $(-6*w+3)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-135{x}-660$.

5

45.1-a8:

31.387022115061449199898491105842311

comment: LMFDB curve 2.2.5.1-45.1-a8 has conductor ideal $(-6*w+3)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-80{x}+242$.

5

45.1-a9:

0.49042222054783514374841392352878611

comment: LMFDB curve 2.2.5.1-45.1-a9 has conductor ideal $(-6*w+3)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-2160{x}-39540$.

5

45.1-a10:

0.12260555513695878593710348088219652

comment: LMFDB curve 2.2.5.1-45.1-a10 has conductor ideal $(-6*w+3)$, rank $0$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(w-1\right){x}^{2}+\left(4364w-12105\right){x}+243301w-535402$.

5

49.1-a1:

1.0454481928634487527701685488301141

comment: LMFDB curve 2.2.5.1-49.1-a1 has conductor ideal $(7)$, rank $0$, and equation ${y}^2+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-30w-29\right){x}-102w-84$.

5

49.1-a2:

26.136204821586218819254213720752854

comment: LMFDB curve 2.2.5.1-49.1-a2 has conductor ideal $(7)$, rank $0$, and equation ${y}^2+{y}={x}^{3}+w{x}^{2}+{x}$.

5

55.1-a1:

19.867075744978321874989709057800649

comment: LMFDB curve 2.2.5.1-55.1-a1 has conductor ideal $(w+7)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(9w-25\right){x}-6w+44$.

5

55.1-a2:

2.2074528605531468749988565619778499

comment: LMFDB curve 2.2.5.1-55.1-a2 has conductor ideal $(w+7)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+54w{x}-374w-198$.

5

55.1-a3:

39.734151489956643749979418115601298

comment: LMFDB curve 2.2.5.1-55.1-a3 has conductor ideal $(w+7)$, rank $0$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-w-1\right){x}-w$.

5

55.1-a4:

4.4149057211062937499977131239556998

comment: LMFDB curve 2.2.5.1-55.1-a4 has conductor ideal $(w+7)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-21w-25\right){x}-54w-58$.

5

55.1-a5:

2.2074528605531468749988565619778499

comment: LMFDB curve 2.2.5.1-55.1-a5 has conductor ideal $(w+7)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-16w-210\right){x}+1110w-534$.

5

55.1-a6:

39.734151489956643749979418115601298

comment: LMFDB curve 2.2.5.1-55.1-a6 has conductor ideal $(w+7)$, rank $0$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(4w-11\right){x}-9w+13$.

5

55.1-a7:

4.4149057211062937499977131239556998

comment: LMFDB curve 2.2.5.1-55.1-a7 has conductor ideal $(w+7)$, rank $0$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-6w-1\right){x}+w-17$.

5

55.1-a8:

19.867075744978321874989709057800649

comment: LMFDB curve 2.2.5.1-55.1-a8 has conductor ideal $(w+7)$, rank $0$, and equation ${y}^2+\left(w+1\right){x}{y}+\left(w+1\right){y}={x}^{3}+\left(-6w-26\right){x}+28w+8$.

5

55.2-a1:

39.734151489956643749979418115601298

comment: LMFDB curve 2.2.5.1-55.2-a1 has conductor ideal $(-w+8)$, rank $0$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}-w{x}$.

5

55.2-a2:

4.4149057211062937499977131239556998

comment: LMFDB curve 2.2.5.1-55.2-a2 has conductor ideal $(-w+8)$, rank $0$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(4w-5\right){x}-2w-15$.

5

55.2-a3:

19.867075744978321874989709057800649

comment: LMFDB curve 2.2.5.1-55.2-a3 has conductor ideal $(-w+8)$, rank $0$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(4w-30\right){x}-29w+37$.

5

55.2-a4:

2.2074528605531468749988565619778499

comment: LMFDB curve 2.2.5.1-55.2-a4 has conductor ideal $(-w+8)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(-54w+54\right){x}+374w-572$.

5

55.2-a5:

4.4149057211062937499977131239556998

comment: LMFDB curve 2.2.5.1-55.2-a5 has conductor ideal $(-w+8)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(21w-46\right){x}+54w-112$.

5

55.2-a6:

39.734151489956643749979418115601298

comment: LMFDB curve 2.2.5.1-55.2-a6 has conductor ideal $(-w+8)$, rank $0$, and equation ${y}^2+w{x}{y}+w{y}={x}^{3}+\left(-w+1\right){x}^{2}+\left(-6w-5\right){x}+8w+5$.

5

55.2-a7:

2.2074528605531468749988565619778499

comment: LMFDB curve 2.2.5.1-55.2-a7 has conductor ideal $(-w+8)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(16w-226\right){x}-1110w+576$.

5

55.2-a8:

19.867075744978321874989709057800649

comment: LMFDB curve 2.2.5.1-55.2-a8 has conductor ideal $(-w+8)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+w{x}^{2}+\left(-9w-16\right){x}+6w+38$.

8

9.1-a1:

1.2669233425030481074640018689656843

comment: LMFDB curve 2.2.8.1-9.1-a1 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-40a-60\right){x}-153a-220$.

8

9.1-a2:

31.673083562576202686600046724142108

comment: LMFDB curve 2.2.8.1-9.1-a2 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}$.

8

9.1-a3:

63.346167125152405373200093448284217

comment: LMFDB curve 2.2.8.1-9.1-a3 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-2a-3\right){x}$.

8

9.1-a4:

2.5338466850060962149280037379313687

comment: LMFDB curve 2.2.8.1-9.1-a4 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-162a-243\right){x}-1495a-2130$.

8

17.1-a1:

22.231615521354881834637139197812248

comment: LMFDB curve 2.2.8.1-17.1-a1 has conductor ideal $(-3*w-1)$, rank $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2a+1\right){x}-a$.

8

17.1-a2:

2.4701795023727646482930154664235831

comment: LMFDB curve 2.2.8.1-17.1-a2 has conductor ideal $(-3*w-1)$, rank $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(13a-19\right){x}+47a-69$.

8

17.1-a3:

4.9403590047455292965860309328471662

comment: LMFDB curve 2.2.8.1-17.1-a3 has conductor ideal $(-3*w-1)$, rank $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-34a-53\right){x}-113a-163$.

8

17.1-a4:

44.463231042709763669274278395624496

comment: LMFDB curve 2.2.8.1-17.1-a4 has conductor ideal $(-3*w-1)$, rank $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a-1\right){x}-1$.

8

17.2-a1:

2.4701795023727646482930154664235831

comment: LMFDB curve 2.2.8.1-17.2-a1 has conductor ideal $(3*w-1)$, rank $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-14a-19\right){x}-48a-69$.

8

17.2-a2:

22.231615521354881834637139197812248

comment: LMFDB curve 2.2.8.1-17.2-a2 has conductor ideal $(3*w-1)$, rank $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a+1\right){x}$.

8

17.2-a3:

44.463231042709763669274278395624496

comment: LMFDB curve 2.2.8.1-17.2-a3 has conductor ideal $(3*w-1)$, rank $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2a-1\right){x}-a-1$.

8

17.2-a4:

4.9403590047455292965860309328471662

comment: LMFDB curve 2.2.8.1-17.2-a4 has conductor ideal $(3*w-1)$, rank $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(33a-53\right){x}+112a-163$.

8

28.1-a1:

2.1554410537255203108024547071334435

comment: LMFDB curve 2.2.8.1-28.1-a1 has conductor ideal $(-4*w+2)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-9a-18\right){x}-320a-467$.

8

28.1-a2:

19.398969483529682797222092364200991

comment: LMFDB curve 2.2.8.1-28.1-a2 has conductor ideal $(-4*w+2)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(a+2\right){x}+12a+17$.

8

28.1-a3:

2.1554410537255203108024547071334435

comment: LMFDB curve 2.2.8.1-28.1-a3 has conductor ideal $(-4*w+2)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-19a-148\right){x}+318a-201$.

8

28.1-a4:

19.398969483529682797222092364200991

comment: LMFDB curve 2.2.8.1-28.1-a4 has conductor ideal $(-4*w+2)$, rank $0$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(-2a+3\right){x}$.

8

28.1-a5:

38.797938967059365594444184728401983

comment: LMFDB curve 2.2.8.1-28.1-a5 has conductor ideal $(-4*w+2)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(2a-4\right){x}-a+1$.

8

28.1-a6:

4.3108821074510406216049094142668870

comment: LMFDB curve 2.2.8.1-28.1-a6 has conductor ideal $(-4*w+2)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-34a-53\right){x}-133a-203$.

8

28.1-a7:

19.398969483529682797222092364200991

comment: LMFDB curve 2.2.8.1-28.1-a7 has conductor ideal $(-4*w+2)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(17a-29\right){x}+49a-66$.

8

28.1-a8:

2.1554410537255203108024547071334435

comment: LMFDB curve 2.2.8.1-28.1-a8 has conductor ideal $(-4*w+2)$, rank $0$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(18a-37\right){x}+68a-108$.

8

28.2-a1:

2.1554410537255203108024547071334435

comment: LMFDB curve 2.2.8.1-28.2-a1 has conductor ideal $(4*w+2)$, rank $0$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(-18a-37\right){x}-68a-108$.

8

28.2-a2:

19.398969483529682797222092364200991

comment: LMFDB curve 2.2.8.1-28.2-a2 has conductor ideal $(4*w+2)$, rank $0$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(2a+3\right){x}$.

8

28.2-a3:

38.797938967059365594444184728401983

comment: LMFDB curve 2.2.8.1-28.2-a3 has conductor ideal $(4*w+2)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-2a-4\right){x}+a+1$.

8

28.2-a4:

2.1554410537255203108024547071334435

comment: LMFDB curve 2.2.8.1-28.2-a4 has conductor ideal $(4*w+2)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(9a-18\right){x}+320a-467$.

8

28.2-a5:

19.398969483529682797222092364200991

comment: LMFDB curve 2.2.8.1-28.2-a5 has conductor ideal $(4*w+2)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-17a-29\right){x}-49a-66$.

8

28.2-a6:

19.398969483529682797222092364200991

comment: LMFDB curve 2.2.8.1-28.2-a6 has conductor ideal $(4*w+2)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-a+2\right){x}-12a+17$.

8

28.2-a7:

4.3108821074510406216049094142668870

comment: LMFDB curve 2.2.8.1-28.2-a7 has conductor ideal $(4*w+2)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(34a-53\right){x}+133a-203$.

8

28.2-a8:

2.1554410537255203108024547071334435

comment: LMFDB curve 2.2.8.1-28.2-a8 has conductor ideal $(4*w+2)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(19a-148\right){x}-318a-201$.

8

31.1-a1:

2.5444544631482462736726367690884578

comment: LMFDB curve 2.2.8.1-31.1-a1 has conductor ideal $(-4*w-1)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-7a-21\right){x}-31a-52$.

8

31.1-a2:

20.355635705185970189381094152707662

comment: LMFDB curve 2.2.8.1-31.1-a2 has conductor ideal $(-4*w-1)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-2a-1\right){x}-a-2$.

8

31.1-a3:

10.177817852592985094690547076353831

comment: LMFDB curve 2.2.8.1-31.1-a3 has conductor ideal $(-4*w-1)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(10a-14\right){x}+21a-30$.

8

31.1-a4:

5.0889089262964925473452735381769157

comment: LMFDB curve 2.2.8.1-31.1-a4 has conductor ideal $(-4*w-1)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(25a-49\right){x}-79a+100$.

8

31.2-a1:

20.355635705185970189381094152707662

comment: LMFDB curve 2.2.8.1-31.2-a1 has conductor ideal $(4*w-1)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}$.

8

31.2-a2:

5.0889089262964925473452735381769157

comment: LMFDB curve 2.2.8.1-31.2-a2 has conductor ideal $(4*w-1)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-25a-49\right){x}+79a+100$.

8

31.2-a3:

10.177817852592985094690547076353831

comment: LMFDB curve 2.2.8.1-31.2-a3 has conductor ideal $(4*w-1)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-10a-14\right){x}-21a-30$.

8

31.2-a4:

2.5444544631482462736726367690884578

comment: LMFDB curve 2.2.8.1-31.2-a4 has conductor ideal $(4*w-1)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(5a-20\right){x}+10a-40$.

8

32.1-a1:

3.4375929090101864137450478899052785

comment: LMFDB curve 2.2.8.1-32.1-a1 has conductor ideal $(4*w)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(15a-22\right){x}+46a-69$.

8

32.1-a2:

27.500743272081491309960383119242228

comment: LMFDB curve 2.2.8.1-32.1-a2 has conductor ideal $(4*w)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(15a-23\right){x}-31a+46$.

8

32.1-a3:

13.750371636040745654980191559621114

comment: LMFDB curve 2.2.8.1-32.1-a3 has conductor ideal $(4*w)$, rank $0$, and equation ${y}^2={x}^{3}+{x}$.

8

32.1-a4:

27.500743272081491309960383119242228

comment: LMFDB curve 2.2.8.1-32.1-a4 has conductor ideal $(4*w)$, rank $0$, and equation ${y}^2={x}^{3}-{x}$.

8

32.1-a5:

13.750371636040745654980191559621114

comment: LMFDB curve 2.2.8.1-32.1-a5 has conductor ideal $(4*w)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+{x}^{2}-2{x}-3$.

8

32.1-a6:

55.001486544162982619920766238484457

comment: LMFDB curve 2.2.8.1-32.1-a6 has conductor ideal $(4*w)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-3{x}$.

8

32.1-a7:

3.4375929090101864137450478899052785

comment: LMFDB curve 2.2.8.1-32.1-a7 has conductor ideal $(4*w)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+{x}^{2}+\left(-15a-22\right){x}-46a-69$.

8

32.1-a8:

27.500743272081491309960383119242228

comment: LMFDB curve 2.2.8.1-32.1-a8 has conductor ideal $(4*w)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-15a-23\right){x}+31a+46$.

8

34.1-a1:

2.7900557341314586069760993720856243

comment: LMFDB curve 2.2.8.1-34.1-a1 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-16a+19\right){x}-25a+31$.

8

34.1-a2:

25.110501607183127462784894348770619

comment: LMFDB curve 2.2.8.1-34.1-a2 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(2a+4\right){x}$.

8

34.1-a3:

25.110501607183127462784894348770619

comment: LMFDB curve 2.2.8.1-34.1-a3 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-8a-16\right){x}-10a-4$.

8

34.1-a4:

2.7900557341314586069760993720856243

comment: LMFDB curve 2.2.8.1-34.1-a4 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(64a-141\right){x}-457a+479$.

8

34.2-a1:

25.110501607183127462784894348770619

comment: LMFDB curve 2.2.8.1-34.2-a1 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-2a+4\right){x}$.

8

34.2-a2:

2.7900557341314586069760993720856243

comment: LMFDB curve 2.2.8.1-34.2-a2 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(15a+20\right){x}+44a+62$.

8

34.2-a3:

2.7900557341314586069760993720856243

comment: LMFDB curve 2.2.8.1-34.2-a3 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-65a-140\right){x}+316a+350$.

8

34.2-a4:

25.110501607183127462784894348770619

comment: LMFDB curve 2.2.8.1-34.2-a4 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(8a-16\right){x}+10a-4$.

8

46.1-a1:

1.5824147965010857401360207618055234

comment: LMFDB curve 2.2.8.1-46.1-a1 has conductor ideal $(-5*w+2)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(15a-24\right){x}+46a-66$.

8

46.1-a2:

14.241733168509771661224186856249711

comment: LMFDB curve 2.2.8.1-46.1-a2 has conductor ideal $(-5*w+2)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+{x}-1$.

8

46.1-b1:

0.22978045425775758037411263811389772

comment: LMFDB curve 2.2.8.1-46.1-b1 has conductor ideal $(-5*w+2)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(-947a-1473\right){x}-20242a-29187$.

8

46.1-b2:

27.803434965188667225267629211781624

comment: LMFDB curve 2.2.8.1-46.1-b2 has conductor ideal $(-5*w+2)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-{x}^{2}+\left(-2a-3\right){x}+2a+3$.

8

46.2-a1:

1.5824147965010857401360207618055234

comment: LMFDB curve 2.2.8.1-46.2-a1 has conductor ideal $(-5*w-2)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-16a-24\right){x}-46a-66$.

8

46.2-a2:

14.241733168509771661224186856249711

comment: LMFDB curve 2.2.8.1-46.2-a2 has conductor ideal $(-5*w-2)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-a+1\right){x}-1$.

8

46.2-b1:

0.22978045425775758037411263811389772

comment: LMFDB curve 2.2.8.1-46.2-b1 has conductor ideal $(-5*w-2)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(946a-1473\right){x}+20242a-29187$.

8

46.2-b2:

27.803434965188667225267629211781624

comment: LMFDB curve 2.2.8.1-46.2-b2 has conductor ideal $(-5*w-2)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(a-3\right){x}-2a+3$.

8

47.1-a1:

4.8753677953431512709097668788005396

comment: LMFDB curve 2.2.8.1-47.1-a1 has conductor ideal $(w+7)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-2{x}-18a-27$.

8

47.1-a2:

9.7507355906863025418195337576010792

comment: LMFDB curve 2.2.8.1-47.1-a2 has conductor ideal $(w+7)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-3\right){x}+a-3$.

8

47.2-a1:

9.7507355906863025418195337576010792

comment: LMFDB curve 2.2.8.1-47.2-a1 has conductor ideal $(w-7)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-2a-3\right){x}-2a-3$.

8

47.2-a2:

4.8753677953431512709097668788005396

comment: LMFDB curve 2.2.8.1-47.2-a2 has conductor ideal $(w-7)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-a-2\right){x}+18a-27$.

8

49.1-a1:

0.41998310952187457226066668680647274

comment: LMFDB curve 2.2.8.1-49.1-a1 has conductor ideal $(7)$, rank $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(389a-919\right){x}+7231a-12956$.

8

49.1-a2:

3.7798479856968711503460001812582546

comment: LMFDB curve 2.2.8.1-49.1-a2 has conductor ideal $(7)$, rank $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(4a-9\right){x}+14a-27$.

8

49.1-a3:

34.018631871271840353114001631324292

comment: LMFDB curve 2.2.8.1-49.1-a3 has conductor ideal $(7)$, rank $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-a+1\right){x}$.

8

49.1-a4:

34.018631871271840353114001631324292

comment: LMFDB curve 2.2.8.1-49.1-a4 has conductor ideal $(7)$, rank $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+{x}$.

8

49.1-a5:

3.7798479856968711503460001812582546

comment: LMFDB curve 2.2.8.1-49.1-a5 has conductor ideal $(7)$, rank $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-5a-9\right){x}-14a-27$.

8

49.1-a6:

0.41998310952187457226066668680647274

comment: LMFDB curve 2.2.8.1-49.1-a6 has conductor ideal $(7)$, rank $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-390a-919\right){x}-7231a-12956$.

8

56.1-a1:

34.035364315245701419198126513139214

comment: LMFDB curve 2.2.8.1-56.1-a1 has conductor ideal $(2*w+8)$, rank $0$, and equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(2a-1\right){x}-a+2$.

8

56.1-a2:

2.1272102697028563386998829070712009

comment: LMFDB curve 2.2.8.1-56.1-a2 has conductor ideal $(2*w+8)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(105a+134\right){x}-86a-139$.

8

56.1-a3:

8.5088410788114253547995316282848036

comment: LMFDB curve 2.2.8.1-56.1-a3 has conductor ideal $(2*w+8)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(10a-17\right){x}+31a-44$.

8

56.1-a4:

34.035364315245701419198126513139214

comment: LMFDB curve 2.2.8.1-56.1-a4 has conductor ideal $(2*w+8)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}-2{x}+a-1$.

8

56.1-a5:

2.1272102697028563386998829070712009

comment: LMFDB curve 2.2.8.1-56.1-a5 has conductor ideal $(2*w+8)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}-27{x}+21a-74$.

8

56.1-a6:

17.017682157622850709599063256569607

comment: LMFDB curve 2.2.8.1-56.1-a6 has conductor ideal $(2*w+8)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-10a-7\right){x}+15a+20$.

8

56.2-a1:

2.1272102697028563386998829070712009

comment: LMFDB curve 2.2.8.1-56.2-a1 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}-27{x}-21a-74$.

8

56.2-a2:

17.017682157622850709599063256569607

comment: LMFDB curve 2.2.8.1-56.2-a2 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(10a-7\right){x}-15a+20$.

8

56.2-a3:

34.035364315245701419198126513139214

comment: LMFDB curve 2.2.8.1-56.2-a3 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}-2{x}-a-1$.

8

56.2-a4:

34.035364315245701419198126513139214

comment: LMFDB curve 2.2.8.1-56.2-a4 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2a-1\right){x}+a+2$.

8

56.2-a5:

8.5088410788114253547995316282848036

comment: LMFDB curve 2.2.8.1-56.2-a5 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-10a-17\right){x}-31a-44$.

8

56.2-a6:

2.1272102697028563386998829070712009

comment: LMFDB curve 2.2.8.1-56.2-a6 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(-105a+134\right){x}+86a-139$.

12

9.1-a1:

3.2834968692197041385283077299089865

comment: LMFDB curve 2.2.12.1-9.1-a1 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(25a-45\right){x}+72a-127$.

12

9.1-a2:

29.551471822977337246754769569180878

comment: LMFDB curve 2.2.12.1-9.1-a2 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(25a-45\right){x}-117a+202$.

12

9.1-a3:

29.551471822977337246754769569180878

comment: LMFDB curve 2.2.12.1-9.1-a3 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}$.

12

9.1-a4:

29.551471822977337246754769569180878

comment: LMFDB curve 2.2.12.1-9.1-a4 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-7a+13\right){x}+6a-10$.

12

9.1-a5:

3.2834968692197041385283077299089865

comment: LMFDB curve 2.2.12.1-9.1-a5 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(88a-152\right){x}+564a-977$.

12

9.1-a6:

29.551471822977337246754769569180878

comment: LMFDB curve 2.2.12.1-9.1-a6 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(88a-152\right){x}-717a+1242$.

12

16.1-a1:

17.695031908454309764234228747255048

comment: LMFDB curve 2.2.12.1-16.1-a1 has conductor ideal $(4)$, rank $0$, and equation ${y}^2={x}^{3}-a{x}^{2}+{x}-3a-5$.

12

16.1-a2:

17.695031908454309764234228747255048

comment: LMFDB curve 2.2.12.1-16.1-a2 has conductor ideal $(4)$, rank $0$, and equation ${y}^2={x}^{3}+a{x}^{2}+{x}+3a+5$.

12

16.1-a3:

8.8475159542271548821171143736275243

comment: LMFDB curve 2.2.12.1-16.1-a3 has conductor ideal $(4)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(4a-13\right){x}+11a-21$.

12

16.1-a4:

35.390063816908619528468457494510097

comment: LMFDB curve 2.2.12.1-16.1-a4 has conductor ideal $(4)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(4a-13\right){x}-12a+19$.

12

16.1-a5:

35.390063816908619528468457494510097

comment: LMFDB curve 2.2.12.1-16.1-a5 has conductor ideal $(4)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-a-3\right){x}-1$.

12

16.1-a6:

35.390063816908619528468457494510097

comment: LMFDB curve 2.2.12.1-16.1-a6 has conductor ideal $(4)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-a-3\right){x}-a-1$.

12

16.1-a7:

8.8475159542271548821171143736275243

comment: LMFDB curve 2.2.12.1-16.1-a7 has conductor ideal $(4)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-6a-13\right){x}-12a-21$.

12

16.1-a8:

35.390063816908619528468457494510097

comment: LMFDB curve 2.2.12.1-16.1-a8 has conductor ideal $(4)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-6a-13\right){x}+11a+19$.

12

22.1-a1:

19.486238585294107332133559156819675

comment: LMFDB curve 2.2.12.1-22.1-a1 has conductor ideal $(w+5)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(14261a-24701\right){x}-1229141a+2128933$.

12

22.1-a2:

2.1651376205882341480148399063132972

comment: LMFDB curve 2.2.12.1-22.1-a2 has conductor ideal $(w+5)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-23694a+41039\right){x}-5992615a+10379512$.

12

22.1-a3:

2.1651376205882341480148399063132972

comment: LMFDB curve 2.2.12.1-22.1-a3 has conductor ideal $(w+5)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(18a-33\right){x}+83a-145$.

12

22.1-a4:

19.486238585294107332133559156819675

comment: LMFDB curve 2.2.12.1-22.1-a4 has conductor ideal $(w+5)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-2a+2\right){x}-a+1$.

12

22.1-b1:

0.59789702229994567176742167092314897

comment: LMFDB curve 2.2.12.1-22.1-b1 has conductor ideal $(w+5)$, rank $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(14261a-24702\right){x}+1229140a-2128935$.

12

22.1-b2:

0.59789702229994567176742167092314897

comment: LMFDB curve 2.2.12.1-22.1-b2 has conductor ideal $(w+5)$, rank $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-23694a+41038\right){x}+5992614a-10379514$.

12

22.1-b3:

14.947425557498641794185541773078724

comment: LMFDB curve 2.2.12.1-22.1-b3 has conductor ideal $(w+5)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(20a-32\right){x}-64a+112$.

12

22.1-b4:

14.947425557498641794185541773078724

comment: LMFDB curve 2.2.12.1-22.1-b4 has conductor ideal $(w+5)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+3{x}+1$.

12

22.2-a1:

19.486238585294107332133559156819675

comment: LMFDB curve 2.2.12.1-22.2-a1 has conductor ideal $(w-5)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(1813a-3142\right){x}-55168a+95554$.

12

22.2-a2:

2.1651376205882341480148399063132972

comment: LMFDB curve 2.2.12.1-22.2-a2 has conductor ideal $(w-5)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-18a-33\right){x}-83a-145$.

12

22.2-a3:

2.1651376205882341480148399063132972

comment: LMFDB curve 2.2.12.1-22.2-a3 has conductor ideal $(w-5)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(1688a-2922\right){x}-63194a+109458$.

12

22.2-a4:

19.486238585294107332133559156819675

comment: LMFDB curve 2.2.12.1-22.2-a4 has conductor ideal $(w-5)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(2a+2\right){x}+a+1$.

12

22.2-b1:

0.59789702229994567176742167092314897

comment: LMFDB curve 2.2.12.1-22.2-b1 has conductor ideal $(w-5)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(1813a-3143\right){x}+55168a-95555$.

12

22.2-b2:

14.947425557498641794185541773078724

comment: LMFDB curve 2.2.12.1-22.2-b2 has conductor ideal $(w-5)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-20a-32\right){x}+64a+112$.

12

22.2-b3:

0.59789702229994567176742167092314897

comment: LMFDB curve 2.2.12.1-22.2-b3 has conductor ideal $(w-5)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(1688a-2923\right){x}+63194a-109459$.

12

22.2-b4:

14.947425557498641794185541773078724

comment: LMFDB curve 2.2.12.1-22.2-b4 has conductor ideal $(w-5)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+3{x}+1$.

12

24.1-a1:

18.602238951643222078128233801763314

comment: LMFDB curve 2.2.12.1-24.1-a1 has conductor ideal $(2*w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(1035a-1791\right){x}-23450a+40617$.

12

24.1-a2:

2.3252798689554027597660292252204142

comment: LMFDB curve 2.2.12.1-24.1-a2 has conductor ideal $(2*w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-15a+29\right){x}+322a-557$.

12

24.1-a3:

18.602238951643222078128233801763314

comment: LMFDB curve 2.2.12.1-24.1-a3 has conductor ideal $(2*w+6)$, rank $0$, and equation ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(-38a+66\right){x}-168a+291$.

12

24.1-a4:

37.204477903286444156256467603526628

comment: LMFDB curve 2.2.12.1-24.1-a4 has conductor ideal $(2*w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(5a-6\right){x}-3a+6$.

12

24.1-a5:

9.3011194758216110390641169008816571

comment: LMFDB curve 2.2.12.1-24.1-a5 has conductor ideal $(2*w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(25a-41\right){x}+92a-159$.

12

24.1-a6:

37.204477903286444156256467603526628

comment: LMFDB curve 2.2.12.1-24.1-a6 has conductor ideal $(2*w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(65a-111\right){x}-348a+603$.

12

24.1-a7:

2.3252798689554027597660292252204142

comment: LMFDB curve 2.2.12.1-24.1-a7 has conductor ideal $(2*w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(385a-671\right){x}+5582a-9681$.

12

24.1-a8:

18.602238951643222078128233801763314

comment: LMFDB curve 2.2.12.1-24.1-a8 has conductor ideal $(2*w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(55a-111\right){x}-406a+717$.

12

24.1-b1:

1.4208771293753967252592869069858584

comment: LMFDB curve 2.2.12.1-24.1-b1 has conductor ideal $(2*w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(1033a-1794\right){x}+24484a-42410$.

12

24.1-b2:

5.6835085175015869010371476279434336

comment: LMFDB curve 2.2.12.1-24.1-b2 has conductor ideal $(2*w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-17a+26\right){x}-338a+584$.

12

24.1-b3:

11.367017035003173802074295255886867

comment: LMFDB curve 2.2.12.1-24.1-b3 has conductor ideal $(2*w+6)$, rank $0$, and equation ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(-38a+66\right){x}+168a-291$.

12

24.1-b4:

22.734034070006347604148590511773734

comment: LMFDB curve 2.2.12.1-24.1-b4 has conductor ideal $(2*w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(3a-9\right){x}+7a-14$.

12

24.1-b5:

22.734034070006347604148590511773734

comment: LMFDB curve 2.2.12.1-24.1-b5 has conductor ideal $(2*w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(23a-44\right){x}-68a+116$.

12

24.1-b6:

5.6835085175015869010371476279434336

comment: LMFDB curve 2.2.12.1-24.1-b6 has conductor ideal $(2*w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(63a-114\right){x}+412a-716$.

12

24.1-b7:

22.734034070006347604148590511773734

comment: LMFDB curve 2.2.12.1-24.1-b7 has conductor ideal $(2*w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(383a-674\right){x}-5198a+9008$.

12

24.1-b8:

1.4208771293753967252592869069858584

comment: LMFDB curve 2.2.12.1-24.1-b8 has conductor ideal $(2*w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(53a-114\right){x}+460a-830$.

12

33.1-d1:

0.72631039230780105735863478135527898

comment: LMFDB curve 2.2.12.1-33.1-d1 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(22985a-39809\right){x}+2481167a-4297507$.

12

33.1-d2:

18.157759807695026433965869533881974

comment: LMFDB curve 2.2.12.1-33.1-d2 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(5a-9\right){x}-6a+10$.

12

33.1-d3:

18.157759807695026433965869533881974

comment: LMFDB curve 2.2.12.1-33.1-d3 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(16a-29\right){x}-80a+138$.

12

33.1-d4:

0.72631039230780105735863478135527898

comment: LMFDB curve 2.2.12.1-33.1-d4 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(57890a-100270\right){x}+25396786a-43988524$.

12

33.1-c1:

1.6635259797396065157331062118609955

comment: LMFDB curve 2.2.12.1-33.1-c1 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-729a+1261\right){x}-20243a+35060$.

12

33.1-c2:

26.616415675833704251729699389775928

comment: LMFDB curve 2.2.12.1-33.1-c2 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}-{x}^{2}+\left(3362a-5824\right){x}-177111a+306765$.

12

33.1-c3:

26.616415675833704251729699389775928

comment: LMFDB curve 2.2.12.1-33.1-c3 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(20a-49\right){x}-100a+184$.

12

33.1-c4:

26.616415675833704251729699389775928

comment: LMFDB curve 2.2.12.1-33.1-c4 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(296a-514\right){x}-3378a+5849$.

12

33.1-c5:

6.6541039189584260629324248474439820

comment: LMFDB curve 2.2.12.1-33.1-c5 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(316a-549\right){x}-2833a+4905$.

12

33.1-c6:

1.6635259797396065157331062118609955

comment: LMFDB curve 2.2.12.1-33.1-c6 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(1681a-2919\right){x}+48497a-84006$.

12

33.1-b1:

3.8640640545192230667498627428722255

comment: LMFDB curve 2.2.12.1-33.1-b1 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-727a+1262\right){x}+19515a-33800$.

12

33.1-b2:

15.456256218076892266999450971488902

comment: LMFDB curve 2.2.12.1-33.1-b2 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(3362a-5824\right){x}+177111a-306766$.

12

33.1-b3:

3.8640640545192230667498627428722255

comment: LMFDB curve 2.2.12.1-33.1-b3 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(20a-49\right){x}+100a-184$.

12

33.1-b4:

15.456256218076892266999450971488902

comment: LMFDB curve 2.2.12.1-33.1-b4 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(298a-513\right){x}+3675a-6364$.

12

33.1-b5:

15.456256218076892266999450971488902

comment: LMFDB curve 2.2.12.1-33.1-b5 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(318a-548\right){x}+3150a-5455$.

12

33.1-b6:

15.456256218076892266999450971488902

comment: LMFDB curve 2.2.12.1-33.1-b6 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(1683a-2918\right){x}-46815a+81086$.

12

33.1-a1:

8.7873802796129571680668697254631015

comment: LMFDB curve 2.2.12.1-33.1-a1 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(22986a-39809\right){x}-2497992a+4326651$.

12

33.1-a2:

8.7873802796129571680668697254631015

comment: LMFDB curve 2.2.12.1-33.1-a2 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(6a-8\right){x}+12a-19$.

12

33.1-a3:

8.7873802796129571680668697254631015

comment: LMFDB curve 2.2.12.1-33.1-a3 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(15a-28\right){x}+96a-167$.

12

33.1-a4:

8.7873802796129571680668697254631015

comment: LMFDB curve 2.2.12.1-33.1-a4 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(57891a-100269\right){x}-25338895a+43888254$.

12

33.2-d1:

18.157759807695026433965869533881974

comment: LMFDB curve 2.2.12.1-33.2-d1 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(5a-7\right){x}+a-1$.

12

33.2-d2:

0.72631039230780105735863478135527898

comment: LMFDB curve 2.2.12.1-33.2-d2 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(460939a-798370\right){x}+224206774a-388337524$.

12

33.2-d3:

0.72631039230780105735863478135527898

comment: LMFDB curve 2.2.12.1-33.2-d3 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(8272a-14332\right){x}+544260a-942688$.

12

33.2-d4:

18.157759807695026433965869533881974

comment: LMFDB curve 2.2.12.1-33.2-d4 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-6a-9\right){x}+6a+10$.

12

33.2-c1:

26.616415675833704251729699389775928

comment: LMFDB curve 2.2.12.1-33.2-c1 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+{x}$.

12

33.2-c2:

1.6635259797396065157331062118609955

comment: LMFDB curve 2.2.12.1-33.2-c2 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(25a-29\right){x}+89a-138$.

12

33.2-c3:

6.6541039189584260629324248474439820

comment: LMFDB curve 2.2.12.1-33.2-c3 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(20a-39\right){x}+84a-138$.

12

33.2-c4:

1.6635259797396065157331062118609955

comment: LMFDB curve 2.2.12.1-33.2-c4 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(335a-609\right){x}+4719a-8214$.

12

33.2-c5:

26.616415675833704251729699389775928

comment: LMFDB curve 2.2.12.1-33.2-c5 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}-4{x}+4a+1$.

12

33.2-c6:

26.616415675833704251729699389775928

comment: LMFDB curve 2.2.12.1-33.2-c6 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-20a-49\right){x}+100a+184$.

12

33.2-b1:

15.456256218076892266999450971488902

comment: LMFDB curve 2.2.12.1-33.2-b1 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+{x}$.

12

33.2-b2:

3.8640640545192230667498627428722255

comment: LMFDB curve 2.2.12.1-33.2-b2 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(25a-29\right){x}-89a+138$.

12

33.2-b3:

15.456256218076892266999450971488902

comment: LMFDB curve 2.2.12.1-33.2-b3 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(20a-39\right){x}-84a+138$.

12

33.2-b4:

15.456256218076892266999450971488902

comment: LMFDB curve 2.2.12.1-33.2-b4 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(335a-609\right){x}-4719a+8214$.

12

33.2-b5:

15.456256218076892266999450971488902

comment: LMFDB curve 2.2.12.1-33.2-b5 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}-4{x}-4a-1$.

12

33.2-b6:

3.8640640545192230667498627428722255

comment: LMFDB curve 2.2.12.1-33.2-b6 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(-20a-49\right){x}-100a-184$.

12

33.2-a1:

8.7873802796129571680668697254631015

comment: LMFDB curve 2.2.12.1-33.2-a1 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(6a-5\right){x}-3a+8$.

12

33.2-a2:

8.7873802796129571680668697254631015

comment: LMFDB curve 2.2.12.1-33.2-a2 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(460938a-798369\right){x}-223745835a+387539154$.

12

33.2-a3:

8.7873802796129571680668697254631015

comment: LMFDB curve 2.2.12.1-33.2-a3 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+{x}^{2}+\left(8273a-14331\right){x}-535987a+928356$.

12

33.2-a4:

8.7873802796129571680668697254631015

comment: LMFDB curve 2.2.12.1-33.2-a4 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-7a-8\right){x}-12a-19$.

12

36.1-a1:

5.8983439694847699214114095824183495

comment: LMFDB curve 2.2.12.1-36.1-a1 has conductor ideal $(6)$, rank $0$, and equation ${y}^2={x}^{3}-1$.

12

36.1-a2:

17.695031908454309764234228747255048

comment: LMFDB curve 2.2.12.1-36.1-a2 has conductor ideal $(6)$, rank $0$, and equation ${y}^2={x}^{3}+1$.

12

36.1-a3:

5.8983439694847699214114095824183495

comment: LMFDB curve 2.2.12.1-36.1-a3 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(239a-416\right){x}+2458a-4259$.

12

36.1-a4:

17.695031908454309764234228747255048

comment: LMFDB curve 2.2.12.1-36.1-a4 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(240a-414\right){x}-2874a+4978$.

12

36.1-a5:

11.796687938969539842822819164836699

comment: LMFDB curve 2.2.12.1-36.1-a5 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(14a-26\right){x}+28a-50$.

12

36.1-a6:

35.390063816908619528468457494510097

comment: LMFDB curve 2.2.12.1-36.1-a6 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(15a-24\right){x}-54a+94$.

12

36.1-a7:

5.8983439694847699214114095824183495

comment: LMFDB curve 2.2.12.1-36.1-a7 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(29a-56\right){x}-92a+151$.

12

36.1-a8:

17.695031908454309764234228747255048

comment: LMFDB curve 2.2.12.1-36.1-a8 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(30a-54\right){x}+36a-62$.

12

47.1-b1:

39.613384721248614874737050673090411

comment: LMFDB curve 2.2.12.1-47.1-b1 has conductor ideal $(-4*w-1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(a-1\right){x}$.

12

47.1-b2:

39.613384721248614874737050673090411

comment: LMFDB curve 2.2.12.1-47.1-b2 has conductor ideal $(-4*w-1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(6a-11\right){x}-14a+24$.

12

47.1-a1:

19.401865748686940384899004026121007

comment: LMFDB curve 2.2.12.1-47.1-a1 has conductor ideal $(-4*w-1)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(a-2\right){x}-1$.

12

47.1-a2:

9.7009328743434701924495020130605035

comment: LMFDB curve 2.2.12.1-47.1-a2 has conductor ideal $(-4*w-1)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(6a-12\right){x}+14a-25$.

12

47.2-b1:

39.613384721248614874737050673090411

comment: LMFDB curve 2.2.12.1-47.2-b1 has conductor ideal $(4*w-1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-a-1\right){x}$.

12

47.2-b2:

39.613384721248614874737050673090411

comment: LMFDB curve 2.2.12.1-47.2-b2 has conductor ideal $(4*w-1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-6a-11\right){x}+14a+24$.

12

47.2-a1:

19.401865748686940384899004026121007

comment: LMFDB curve 2.2.12.1-47.2-a1 has conductor ideal $(4*w-1)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-a-2\right){x}-1$.

12

47.2-a2:

9.7009328743434701924495020130605035

comment: LMFDB curve 2.2.12.1-47.2-a2 has conductor ideal $(4*w-1)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-6a-12\right){x}-14a-25$.

12

52.1-b1:

14.689428095327737600977392493965809

comment: LMFDB curve 2.2.12.1-52.1-b1 has conductor ideal $(2*w+8)$, rank $0$, and equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+2{x}+2a-3$.

12

52.1-b2:

1.6321586772586375112197102771073121

comment: LMFDB curve 2.2.12.1-52.1-b2 has conductor ideal $(2*w+8)$, rank $0$, and equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(60a-98\right){x}+306a-527$.

12

52.1-b3:

3.2643173545172750224394205542146243

comment: LMFDB curve 2.2.12.1-52.1-b3 has conductor ideal $(2*w+8)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(2a-54\right){x}+9a-124$.

12

52.1-b4:

29.378856190655475201954784987931619

comment: LMFDB curve 2.2.12.1-52.1-b4 has conductor ideal $(2*w+8)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-8a-14\right){x}+7a+12$.

12

52.1-a1:

8.3013083378748083425185386129272596

comment: LMFDB curve 2.2.12.1-52.1-a1 has conductor ideal $(2*w+8)$, rank $0$, and equation ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+2{x}-2a+3$.

12

52.1-a2:

8.3013083378748083425185386129272596

comment: LMFDB curve 2.2.12.1-52.1-a2 has conductor ideal $(2*w+8)$, rank $0$, and equation ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(60a-98\right){x}-306a+527$.

12

52.1-a3:

16.602616675749616685037077225854519

comment: LMFDB curve 2.2.12.1-52.1-a3 has conductor ideal $(2*w+8)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(3a-53\right){x}-61a+76$.

12

52.1-a4:

16.602616675749616685037077225854519

comment: LMFDB curve 2.2.12.1-52.1-a4 has conductor ideal $(2*w+8)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-7a-13\right){x}-29a-50$.

12

52.2-b1:

1.6321586772586375112197102771073121

comment: LMFDB curve 2.2.12.1-52.2-b1 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-192a+334\right){x}+730a-1265$.

12

52.2-b2:

14.689428095327737600977392493965809

comment: LMFDB curve 2.2.12.1-52.2-b2 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(28a-46\right){x}-126a+219$.

12

52.2-b3:

29.378856190655475201954784987931619

comment: LMFDB curve 2.2.12.1-52.2-b3 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(9a-12\right){x}-21a+37$.

12

52.2-b4:

3.2643173545172750224394205542146243

comment: LMFDB curve 2.2.12.1-52.2-b4 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(-a-52\right){x}-63a-129$.

12

52.2-a1:

8.3013083378748083425185386129272596

comment: LMFDB curve 2.2.12.1-52.2-a1 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-192a+334\right){x}-730a+1265$.

12

52.2-a2:

8.3013083378748083425185386129272596

comment: LMFDB curve 2.2.12.1-52.2-a2 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(28a-46\right){x}+126a-219$.

12

52.2-a3:

16.602616675749616685037077225854519

comment: LMFDB curve 2.2.12.1-52.2-a3 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(10a-11\right){x}+16a-25$.

12

52.2-a4:

16.602616675749616685037077225854519

comment: LMFDB curve 2.2.12.1-52.2-a4 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a+1\right){x}^{2}-51{x}+8a+71$.

12

54.1-c1:

22.577295667420039317428304549363791

comment: LMFDB curve 2.2.12.1-54.1-c1 has conductor ideal $(3*w+9)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(22a-41\right){x}-218a+377$.

12

54.1-c2:

22.577295667420039317428304549363791

comment: LMFDB curve 2.2.12.1-54.1-c2 has conductor ideal $(3*w+9)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-3a+4\right){x}+7a-14$.

12

54.1-c3:

2.5085884074911154797142560610404213

comment: LMFDB curve 2.2.12.1-54.1-c3 has conductor ideal $(3*w+9)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(127a-221\right){x}+1000a-1734$.

12

54.1-a1:

2.5085884074911154797142560610404213

comment: LMFDB curve 2.2.12.1-54.1-a1 has conductor ideal $(3*w+9)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-128a-221\right){x}-1001a-1734$.

12

54.1-a2:

22.577295667420039317428304549363791

comment: LMFDB curve 2.2.12.1-54.1-a2 has conductor ideal $(3*w+9)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-23a-41\right){x}+217a+377$.

12

54.1-a3:

22.577295667420039317428304549363791

comment: LMFDB curve 2.2.12.1-54.1-a3 has conductor ideal $(3*w+9)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(2a+4\right){x}-8a-14$.

12

54.1-d1:

13.753032318687600866165797696421233

comment: LMFDB curve 2.2.12.1-54.1-d1 has conductor ideal $(3*w+9)$, rank $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-128a-222\right){x}+1000a+1732$.

12

54.1-d2:

1.5281147020764000962406441884912481

comment: LMFDB curve 2.2.12.1-54.1-d2 has conductor ideal $(3*w+9)$, rank $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-23a-42\right){x}-218a-379$.

12

54.1-d3:

13.753032318687600866165797696421233

comment: LMFDB curve 2.2.12.1-54.1-d3 has conductor ideal $(3*w+9)$, rank $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(2a+3\right){x}+7a+12$.

12

54.1-b1:

1.5281147020764000962406441884912481

comment: LMFDB curve 2.2.12.1-54.1-b1 has conductor ideal $(3*w+9)$, rank $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(22a-42\right){x}+217a-379$.

12

54.1-b2:

13.753032318687600866165797696421233

comment: LMFDB curve 2.2.12.1-54.1-b2 has conductor ideal $(3*w+9)$, rank $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-3a+3\right){x}-8a+12$.

12

54.1-b3:

13.753032318687600866165797696421233

comment: LMFDB curve 2.2.12.1-54.1-b3 has conductor ideal $(3*w+9)$, rank $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(127a-222\right){x}-1001a+1732$.

13

4.1-a1:

1.1422605397837213349060975037183867

comment: LMFDB curve 2.2.13.1-4.1-a1 has conductor ideal $(2)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-29a+2\right){x}-52a-106$.

13

4.1-a2:

28.556513494593033372652437592959668

comment: LMFDB curve 2.2.13.1-4.1-a2 has conductor ideal $(2)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-2a-2\right){x}$.

13

4.1-a3:

1.1422605397837213349060975037183867

comment: LMFDB curve 2.2.13.1-4.1-a3 has conductor ideal $(2)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+\left(75a-172\right){x}+507a-1170$.

13

4.1-a4:

28.556513494593033372652437592959668

comment: LMFDB curve 2.2.13.1-4.1-a4 has conductor ideal $(2)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(a-3\right){x}-a+1$.

13

4.1-a5:

28.556513494593033372652437592959668

comment: LMFDB curve 2.2.13.1-4.1-a5 has conductor ideal $(2)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+{x}^{2}+3{x}-a+4$.

13

4.1-a6:

1.1422605397837213349060975037183867

comment: LMFDB curve 2.2.13.1-4.1-a6 has conductor ideal $(2)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(28a-27\right){x}+51a-158$.

13

9.1-a1:

27.399505315356176847653137340330127

comment: LMFDB curve 2.2.13.1-9.1-a1 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+{x}$.

13

9.1-a2:

1.7124690822097610529783210837706329

comment: LMFDB curve 2.2.13.1-9.1-a2 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-5a-40\right){x}-56a-157$.

13

9.1-a3:

1.7124690822097610529783210837706329

comment: LMFDB curve 2.2.13.1-9.1-a3 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(265a-594\right){x}+3141a-7218$.

13

9.1-a4:

27.399505315356176847653137340330127

comment: LMFDB curve 2.2.13.1-9.1-a4 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}$.

13

9.1-a5:

27.399505315356176847653137340330127

comment: LMFDB curve 2.2.13.1-9.1-a5 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}-5{x}-3a-1$.

13

9.1-a6:

6.8498763288390442119132843350825317

comment: LMFDB curve 2.2.13.1-9.1-a6 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(15a-39\right){x}+54a-117$.

13

9.1-a7:

1.7124690822097610529783210837706329

comment: LMFDB curve 2.2.13.1-9.1-a7 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(5a-44\right){x}+51a-168$.

13

9.1-a8:

27.399505315356176847653137340330127

comment: LMFDB curve 2.2.13.1-9.1-a8 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(15a-65\right){x}-69a+182$.

13

9.1-a9:

6.8498763288390442119132843350825317

comment: LMFDB curve 2.2.13.1-9.1-a9 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-15a-25\right){x}-69a-88$.

13

9.1-a10:

27.399505315356176847653137340330127

comment: LMFDB curve 2.2.13.1-9.1-a10 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}-4{x}+3a+1$.

13

9.1-a11:

1.7124690822097610529783210837706329

comment: LMFDB curve 2.2.13.1-9.1-a11 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-265a-330\right){x}-3406a-4407$.

13

9.1-a12:

27.399505315356176847653137340330127

comment: LMFDB curve 2.2.13.1-9.1-a12 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-15a-49\right){x}+84a+163$.

13

17.1-a1:

2.4716230083573547878953366545159211

comment: LMFDB curve 2.2.13.1-17.1-a1 has conductor ideal $(w+4)$, rank $0$, and equation ${y}^2+a{y}={x}^{3}+{x}^{2}+\left(-9a+18\right){x}+12a-32$.

13

17.1-a2:

22.244607075216193091058029890643290

comment: LMFDB curve 2.2.13.1-17.1-a2 has conductor ideal $(w+4)$, rank $0$, and equation ${y}^2+a{y}={x}^{3}+{x}^{2}+\left(a-2\right){x}-a+1$.

13

17.2-a1:

22.244607075216193091058029890643290

comment: LMFDB curve 2.2.13.1-17.2-a1 has conductor ideal $(w-5)$, rank $0$, and equation ${y}^2+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-a-1\right){x}$.

13

17.2-a2:

2.4716230083573547878953366545159211

comment: LMFDB curve 2.2.13.1-17.2-a2 has conductor ideal $(w-5)$, rank $0$, and equation ${y}^2+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(9a+9\right){x}-13a-20$.

13

23.1-a1:

12.992981859615609832173742710546859

comment: LMFDB curve 2.2.13.1-23.1-a1 has conductor ideal $(-3*w-1)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(a+1\right){x}$.

13

23.1-a2:

6.4964909298078049160868713552734299

comment: LMFDB curve 2.2.13.1-23.1-a2 has conductor ideal $(-3*w-1)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-4a-4\right){x}-13a-18$.

13

23.2-a1:

6.4964909298078049160868713552734299

comment: LMFDB curve 2.2.13.1-23.2-a1 has conductor ideal $(3*w-4)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(8a-7\right){x}+10a-14$.

13

23.2-a2:

12.992981859615609832173742710546859

comment: LMFDB curve 2.2.13.1-23.2-a2 has conductor ideal $(3*w-4)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(3a+3\right){x}+2a+2$.

13

27.1-a1:

6.2655390063997633885339133072812800

comment: LMFDB curve 2.2.13.1-27.1-a1 has conductor ideal $(-3*w)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-a+1\right){x}-2$.

13

27.1-a2:

2.3495771273999112707002174902304800

comment: LMFDB curve 2.2.13.1-27.1-a2 has conductor ideal $(-3*w)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-59a-135\right){x}+766a+829$.

13

27.1-a3:

0.78319237579997042356673916341016000

comment: LMFDB curve 2.2.13.1-27.1-a3 has conductor ideal $(-3*w)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(464a-989\right){x}+6420a-15050$.

13

27.1-a4:

18.796617019199290165601739921843840

comment: LMFDB curve 2.2.13.1-27.1-a4 has conductor ideal $(-3*w)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}+a+1$.

13

27.1-a5:

18.796617019199290165601739921843840

comment: LMFDB curve 2.2.13.1-27.1-a5 has conductor ideal $(-3*w)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-4a-15\right){x}+a+10$.

13

27.1-a6:

3.1327695031998816942669566536406400

comment: LMFDB curve 2.2.13.1-27.1-a6 has conductor ideal $(-3*w)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(19a-74\right){x}+70a-224$.

13

27.1-a7:

1.5663847515999408471334783268203200

comment: LMFDB curve 2.2.13.1-27.1-a7 has conductor ideal $(-3*w)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-26a-119\right){x}+340a+10$.

13

27.1-a8:

9.3983085095996450828008699609219201

comment: LMFDB curve 2.2.13.1-27.1-a8 has conductor ideal $(-3*w)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-4a-150\right){x}-404a+118$.

13

27.1-a9:

9.3983085095996450828008699609219201

comment: LMFDB curve 2.2.13.1-27.1-a9 has conductor ideal $(-3*w)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-84a-120\right){x}+546a+718$.

13

27.1-a10:

6.2655390063997633885339133072812800

comment: LMFDB curve 2.2.13.1-27.1-a10 has conductor ideal $(-3*w)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-6a-14\right){x}-20a-26$.

13

27.1-a11:

4.6991542547998225414004349804609600

comment: LMFDB curve 2.2.13.1-27.1-a11 has conductor ideal $(-3*w)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-847a+1914\right){x}-19366a+44646$.

13

27.1-a12:

3.1327695031998816942669566536406400

comment: LMFDB curve 2.2.13.1-27.1-a12 has conductor ideal $(-3*w)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-111a-194\right){x}-1130a-1304$.

13

27.2-a1:

18.796617019199290165601739921843840

comment: LMFDB curve 2.2.13.1-27.2-a1 has conductor ideal $(-3*w+3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-3a+1\right){x}-2a+2$.

13

27.2-a2:

1.5663847515999408471334783268203200

comment: LMFDB curve 2.2.13.1-27.2-a2 has conductor ideal $(-3*w+3)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(26a-145\right){x}-340a+350$.

13

27.2-a3:

4.6991542547998225414004349804609600

comment: LMFDB curve 2.2.13.1-27.2-a3 has conductor ideal $(-3*w+3)$, rank $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(849a+1064\right){x}+21278a+27823$.

13

27.2-a4:

6.2655390063997633885339133072812800

comment: LMFDB curve 2.2.13.1-27.2-a4 has conductor ideal $(-3*w+3)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+a{x}-2$.

13

27.2-a5:

6.2655390063997633885339133072812800

comment: LMFDB curve 2.2.13.1-27.2-a5 has conductor ideal $(-3*w+3)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(6a-20\right){x}+20a-46$.

13

27.2-a6:

9.3983085095996450828008699609219201

comment: LMFDB curve 2.2.13.1-27.2-a6 has conductor ideal $(-3*w+3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(82a-204\right){x}-547a+1264$.

13

27.2-a7:

2.3495771273999112707002174902304800

comment: LMFDB curve 2.2.13.1-27.2-a7 has conductor ideal $(-3*w+3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(57a-194\right){x}-767a+1595$.

13

27.2-a8:

3.1327695031998816942669566536406400

comment: LMFDB curve 2.2.13.1-27.2-a8 has conductor ideal $(-3*w+3)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(111a-305\right){x}+1130a-2434$.

13

27.2-a9:

3.1327695031998816942669566536406400

comment: LMFDB curve 2.2.13.1-27.2-a9 has conductor ideal $(-3*w+3)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-19a-55\right){x}-70a-154$.

13

27.2-a10:

18.796617019199290165601739921843840

comment: LMFDB curve 2.2.13.1-27.2-a10 has conductor ideal $(-3*w+3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(2a-19\right){x}-2a+11$.

13

27.2-a11:

0.78319237579997042356673916341016000

comment: LMFDB curve 2.2.13.1-27.2-a11 has conductor ideal $(-3*w+3)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-464a-525\right){x}-6420a-8630$.

13

27.2-a12:

9.3983085095996450828008699609219201

comment: LMFDB curve 2.2.13.1-27.2-a12 has conductor ideal $(-3*w+3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(2a-154\right){x}+403a-286$.

13

36.1-a1:

0.30842690239091865138320804079178769

comment: LMFDB curve 2.2.13.1-36.1-a1 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(1023a-2390\right){x}+24243a-55924$.

13

36.1-a2:

7.7106725597729662845802010197946922

comment: LMFDB curve 2.2.13.1-36.1-a2 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-12a+25\right){x}-12a+26$.

13

36.1-a3:

7.7106725597729662845802010197946922

comment: LMFDB curve 2.2.13.1-36.1-a3 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(48a-115\right){x}-96a+218$.

13

36.1-a4:

3.8553362798864831422901005098973461

comment: LMFDB curve 2.2.13.1-36.1-a4 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-420a-565\right){x}-6327a-8227$.

13

36.1-a5:

3.8553362798864831422901005098973461

comment: LMFDB curve 2.2.13.1-36.1-a5 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(418a-985\right){x}+6326a-14554$.

13

36.1-a6:

0.15421345119545932569160402039589384

comment: LMFDB curve 2.2.13.1-36.1-a6 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-14305a-26645\right){x}-1473236a-2202528$.

13

36.1-a7:

0.30842690239091865138320804079178769

comment: LMFDB curve 2.2.13.1-36.1-a7 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(16383a-38230\right){x}+1551027a-3576436$.

13

36.1-a8:

0.15421345119545932569160402039589384

comment: LMFDB curve 2.2.13.1-36.1-a8 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(14303a-40950\right){x}+1473235a-3675764$.

13

36.2-a1:

6.8390325828112123176767981499625878

comment: LMFDB curve 2.2.13.1-36.2-a1 has conductor ideal $(2*w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-113a-80\right){x}+590a+599$.

13

36.2-a2:

3.7994625460062290653759989722014376

comment: LMFDB curve 2.2.13.1-36.2-a2 has conductor ideal $(2*w+6)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(3a-8\right){x}+14a-35$.

13

36.2-a3:

2.2796775276037374392255993833208626

comment: LMFDB curve 2.2.13.1-36.2-a3 has conductor ideal $(2*w+6)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(124a-297\right){x}+1087a-2492$.

13

36.2-a4:

34.195162914056061588383990749812939

comment: LMFDB curve 2.2.13.1-36.2-a4 has conductor ideal $(2*w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(2a-5\right){x}-5a+11$.

13

36.2-a5:

11.398387638018687196127996916604313

comment: LMFDB curve 2.2.13.1-36.2-a5 has conductor ideal $(2*w+6)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(-a+3\right){x}-3a+7$.

13

36.2-a6:

0.75989250920124581307519979444028753

comment: LMFDB curve 2.2.13.1-36.2-a6 has conductor ideal $(2*w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(87a+6\right){x}+358a+111$.

13

36.3-a1:

0.75989250920124581307519979444028753

comment: LMFDB curve 2.2.13.1-36.3-a1 has conductor ideal $(-2*w+8)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-85a+94\right){x}-352a+209$.

13

36.3-a2:

34.195162914056061588383990749812939

comment: LMFDB curve 2.2.13.1-36.3-a2 has conductor ideal $(-2*w+8)$, rank $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-a-1\right){x}$.

13

36.3-a3:

2.2796775276037374392255993833208626

comment: LMFDB curve 2.2.13.1-36.3-a3 has conductor ideal $(-2*w+8)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-124a-173\right){x}-1087a-1405$.

13

36.3-a4:

3.7994625460062290653759989722014376

comment: LMFDB curve 2.2.13.1-36.3-a4 has conductor ideal $(-2*w+8)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-4a-4\right){x}-15a-20$.

13

36.3-a5:

11.398387638018687196127996916604313

comment: LMFDB curve 2.2.13.1-36.3-a5 has conductor ideal $(-2*w+8)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(a+2\right){x}+3a+4$.

13

36.3-a6:

6.8390325828112123176767981499625878

comment: LMFDB curve 2.2.13.1-36.3-a6 has conductor ideal $(-2*w+8)$, rank $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(114a-191\right){x}-670a+1528$.

13

39.1-a1:

6.9368848051699819797242226660889801

comment: LMFDB curve 2.2.13.1-39.1-a1 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}-{x}^{2}+\left(34a+43\right){x}+323a+422$.

13

39.1-a2:

13.873769610339963959448445332177960

comment: LMFDB curve 2.2.13.1-39.1-a2 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(16a-27\right){x}+29a-60$.

13

39.1-a3:

13.873769610339963959448445332177960

comment: LMFDB curve 2.2.13.1-39.1-a3 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a+8\right){x}+5a-4$.

13

39.1-a4:

6.9368848051699819797242226660889801

comment: LMFDB curve 2.2.13.1-39.1-a4 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(201a-462\right){x}+2061a-4746$.

13

39.2-a1:

13.873769610339963959448445332177960

comment: LMFDB curve 2.2.13.1-39.2-a1 has conductor ideal $(w-7)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(3a+4\right){x}$.

13

39.2-a2:

13.873769610339963959448445332177960

comment: LMFDB curve 2.2.13.1-39.2-a2 has conductor ideal $(w-7)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-12a-16\right){x}-44a-57$.

13

39.2-a3:

6.9368848051699819797242226660889801

comment: LMFDB curve 2.2.13.1-39.2-a3 has conductor ideal $(w-7)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-35a+77\right){x}-323a+745$.

13

39.2-a4:

6.9368848051699819797242226660889801

comment: LMFDB curve 2.2.13.1-39.2-a4 has conductor ideal $(w-7)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-197a-266\right){x}-2326a-3016$.

13

48.1-a1:

15.918596250845300167331995114219963

comment: LMFDB curve 2.2.13.1-48.1-a1 has conductor ideal $(-4*w)$, rank $0$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(-3a-4\right){x}-4a-5$.

13

48.1-a2:

15.918596250845300167331995114219963

comment: LMFDB curve 2.2.13.1-48.1-a2 has conductor ideal $(-4*w)$, rank $0$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(a+1\right){x}$.

13

48.1-a3:

7.9592981254226500836659975571099817

comment: LMFDB curve 2.2.13.1-48.1-a3 has conductor ideal $(-4*w)$, rank $0$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(-4a-4\right){x}+4a+4$.

13

48.1-a4:

7.9592981254226500836659975571099817

comment: LMFDB curve 2.2.13.1-48.1-a4 has conductor ideal $(-4*w)$, rank $0$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(9a-22\right){x}-67a+154$.

13

48.2-a1:

7.9592981254226500836659975571099817

comment: LMFDB curve 2.2.13.1-48.2-a1 has conductor ideal $(-4*w+4)$, rank $0$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(-9a-13\right){x}+67a+87$.

13

48.2-a2:

7.9592981254226500836659975571099817

comment: LMFDB curve 2.2.13.1-48.2-a2 has conductor ideal $(-4*w+4)$, rank $0$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(4a-8\right){x}-4a+8$.

13

48.2-a3:

15.918596250845300167331995114219963

comment: LMFDB curve 2.2.13.1-48.2-a3 has conductor ideal $(-4*w+4)$, rank $0$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(-a+2\right){x}$.

13

48.2-a4:

15.918596250845300167331995114219963

comment: LMFDB curve 2.2.13.1-48.2-a4 has conductor ideal $(-4*w+4)$, rank $0$, and equation ${y}^2={x}^{3}-{x}^{2}+\left(3a-7\right){x}+4a-9$.

13

51.1-c1:

2.8105078829221956664009800712850398

comment: LMFDB curve 2.2.13.1-51.1-c1 has conductor ideal $(-4*w+3)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-6a+6\right){x}-3a$.

13

51.1-c2:

2.8105078829221956664009800712850398

comment: LMFDB curve 2.2.13.1-51.1-c2 has conductor ideal $(-4*w+3)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-16a-69\right){x}-78a-198$.

13

51.1-a1:

8.6079279605119778207763964738049273

comment: LMFDB curve 2.2.13.1-51.1-a1 has conductor ideal $(-4*w+3)$, rank $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-2a-2\right){x}+11a+14$.

13

51.1-a2:

8.6079279605119778207763964738049273

comment: LMFDB curve 2.2.13.1-51.1-a2 has conductor ideal $(-4*w+3)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(-a+3\right){x}$.

13

51.1-a3:

8.6079279605119778207763964738049273

comment: LMFDB curve 2.2.13.1-51.1-a3 has conductor ideal $(-4*w+3)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(4a-12\right){x}+5a-15$.

13

51.1-a4:

8.6079279605119778207763964738049273

comment: LMFDB curve 2.2.13.1-51.1-a4 has conductor ideal $(-4*w+3)$, rank $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-57a-77\right){x}+359a+464$.

13

51.1-b1:

17.138870473011498495788438886580485

comment: LMFDB curve 2.2.13.1-51.1-b1 has conductor ideal $(-4*w+3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(a-4\right){x}-a+2$.

13

51.1-b2:

17.138870473011498495788438886580485

comment: LMFDB curve 2.2.13.1-51.1-b2 has conductor ideal $(-4*w+3)$, rank $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-107a-152\right){x}-323a-403$.

13

51.1-b3:

17.138870473011498495788438886580485

comment: LMFDB curve 2.2.13.1-51.1-b3 has conductor ideal $(-4*w+3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(26a-64\right){x}-93a+212$.

13

51.1-b4:

4.2847176182528746239471097216451212

comment: LMFDB curve 2.2.13.1-51.1-b4 has conductor ideal $(-4*w+3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-a{x}^{2}+\left(16a-79\right){x}-117a+164$.

13

51.2-a1:

20.340856799190928919265985041546446

comment: LMFDB curve 2.2.13.1-51.2-a1 has conductor ideal $(-2*w+9)$, rank $1$, and equation ${y}^2+a{y}={x}^{3}-{x}^{2}+\left(-2a+4\right){x}+a-3$.

13

51.2-a2:

20.340856799190928919265985041546446

comment: LMFDB curve 2.2.13.1-51.2-a2 has conductor ideal $(-2*w+9)$, rank $1$, and equation ${y}^2+a{y}={x}^{3}-{x}^{2}+\left(a-1\right){x}-a+1$.

13

51.3-a1:

20.340856799190928919265985041546446

comment: LMFDB curve 2.2.13.1-51.3-a1 has conductor ideal $(2*w+7)$, rank $1$, and equation ${y}^2+\left(a+1\right){y}={x}^{3}-{x}^{2}-a{x}$.

13

51.3-a2:

20.340856799190928919265985041546446

comment: LMFDB curve 2.2.13.1-51.3-a2 has conductor ideal $(2*w+7)$, rank $1$, and equation ${y}^2+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(2a+2\right){x}-2a-2$.

13

51.4-c1:

2.8105078829221956664009800712850398

comment: LMFDB curve 2.2.13.1-51.4-c1 has conductor ideal $(4*w-1)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(5a+1\right){x}+2a-2$.

13

51.4-c2:

2.8105078829221956664009800712850398

comment: LMFDB curve 2.2.13.1-51.4-c2 has conductor ideal $(4*w-1)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(15a-84\right){x}+77a-275$.

13

51.4-b1:

17.138870473011498495788438886580485

comment: LMFDB curve 2.2.13.1-51.4-b1 has conductor ideal $(4*w-1)$, rank $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-2a-2\right){x}+a+1$.

13

51.4-b2:

4.2847176182528746239471097216451212

comment: LMFDB curve 2.2.13.1-51.4-b2 has conductor ideal $(4*w-1)$, rank $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-17a-62\right){x}+117a+47$.

13

51.4-b3:

17.138870473011498495788438886580485

comment: LMFDB curve 2.2.13.1-51.4-b3 has conductor ideal $(4*w-1)$, rank $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-27a-37\right){x}+93a+119$.

13

51.4-b4:

17.138870473011498495788438886580485

comment: LMFDB curve 2.2.13.1-51.4-b4 has conductor ideal $(4*w-1)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(108a-262\right){x}+61a-140$.

13

51.4-a1:

8.6079279605119778207763964738049273

comment: LMFDB curve 2.2.13.1-51.4-a1 has conductor ideal $(4*w-1)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+{x}^{2}+\left(2a-4\right){x}-9a+21$.

13

51.4-a2:

8.6079279605119778207763964738049273

comment: LMFDB curve 2.2.13.1-51.4-a2 has conductor ideal $(4*w-1)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(a+2\right){x}$.

13

51.4-a3:

8.6079279605119778207763964738049273

comment: LMFDB curve 2.2.13.1-51.4-a3 has conductor ideal $(4*w-1)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+{x}^{2}+\left(-4a-8\right){x}-5a-10$.

13

51.4-a4:

8.6079279605119778207763964738049273

comment: LMFDB curve 2.2.13.1-51.4-a4 has conductor ideal $(4*w-1)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+{x}^{2}+\left(57a-134\right){x}-302a+689$.

13

52.1-b1:

0.38559796534058063989835256461682483

comment: LMFDB curve 2.2.13.1-52.1-b1 has conductor ideal $(-4*w+2)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-213{x}-1257$.

13

52.1-b2:

18.894300301688451355019275666224417

comment: LMFDB curve 2.2.13.1-52.1-b2 has conductor ideal $(-4*w+2)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-3{x}+3$.

13

52.1-a1:

0.26581928334230888972474875261420999

comment: LMFDB curve 2.2.13.1-52.1-a1 has conductor ideal $(-4*w+2)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-460{x}-3830$.

13

52.1-a2:

2.3923735500807800075227387735278899

comment: LMFDB curve 2.2.13.1-52.1-a2 has conductor ideal $(-4*w+2)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-5{x}-8$.

13

52.1-a3:

21.531361950727020067704648961751009

comment: LMFDB curve 2.2.13.1-52.1-a3 has conductor ideal $(-4*w+2)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}$.

13

53.1-a1:

28.368431245533379276463780701368752

comment: LMFDB curve 2.2.13.1-53.1-a1 has conductor ideal $(w+7)$, rank $1$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-a+1\right){x}$.

13

53.2-a1:

28.368431245533379276463780701368752

comment: LMFDB curve 2.2.13.1-53.2-a1 has conductor ideal $(w-8)$, rank $1$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}-{x}^{2}$.

17

4.1-a1:

2.5512619868368420218277732147808144

comment: LMFDB curve 2.2.17.1-4.1-a1 has conductor ideal $(2)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-9a+22\right){x}+106a-272$.

17

4.1-a2:

22.961357881531578196449958933027329

comment: LMFDB curve 2.2.17.1-4.1-a2 has conductor ideal $(2)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-2\right){x}+4a+6$.

17

4.1-a3:

2.5512619868368420218277732147808144

comment: LMFDB curve 2.2.17.1-4.1-a3 has conductor ideal $(2)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(9a+13\right){x}-106a-166$.

17

4.1-a4:

22.961357881531578196449958933027329

comment: LMFDB curve 2.2.17.1-4.1-a4 has conductor ideal $(2)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-3\right){x}-4a+10$.

17

4.1-a5:

45.922715763063156392899917866054659

comment: LMFDB curve 2.2.17.1-4.1-a5 has conductor ideal $(2)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}-2a{x}$.

17

4.1-a6:

2.5512619868368420218277732147808144

comment: LMFDB curve 2.2.17.1-4.1-a6 has conductor ideal $(2)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(981a-2517\right){x}+23628a-60528$.

17

4.1-a7:

5.1025239736736840436555464295616288

comment: LMFDB curve 2.2.17.1-4.1-a7 has conductor ideal $(2)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(61a-157\right){x}+348a-896$.

17

4.1-a8:

45.922715763063156392899917866054659

comment: LMFDB curve 2.2.17.1-4.1-a8 has conductor ideal $(2)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(a-2\right){x}-a$.

17

4.1-a9:

22.961357881531578196449958933027329

comment: LMFDB curve 2.2.17.1-4.1-a9 has conductor ideal $(2)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-12a-20\right){x}-28a-44$.

17

4.1-a10:

5.1025239736736840436555464295616288

comment: LMFDB curve 2.2.17.1-4.1-a10 has conductor ideal $(2)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-62a-95\right){x}-349a-547$.

17

4.1-a11:

22.961357881531578196449958933027329

comment: LMFDB curve 2.2.17.1-4.1-a11 has conductor ideal $(2)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(11a-32\right){x}+27a-72$.

17

4.1-a12:

2.5512619868368420218277732147808144

comment: LMFDB curve 2.2.17.1-4.1-a12 has conductor ideal $(2)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-982a-1535\right){x}-23629a-36899$.

17

8.3-a1:

12.690574342122364819155786846722745

comment: LMFDB curve 2.2.17.1-8.3-a1 has conductor ideal $(-w-3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(4a+7\right){x}-34a-53$.

17

8.3-a2:

6.3452871710611824095778934233613728

comment: LMFDB curve 2.2.17.1-8.3-a2 has conductor ideal $(-w-3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(80a+125\right){x}+1186a+1852$.

17

8.3-a3:

25.381148684244729638311573693445491

comment: LMFDB curve 2.2.17.1-8.3-a3 has conductor ideal $(-w-3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(12a-37\right){x}+46a-121$.

17

8.3-a4:

25.381148684244729638311573693445491

comment: LMFDB curve 2.2.17.1-8.3-a4 has conductor ideal $(-w-3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(a+3\right){x}$.

17

8.3-a5:

25.381148684244729638311573693445491

comment: LMFDB curve 2.2.17.1-8.3-a5 has conductor ideal $(-w-3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-5a-8\right){x}+2a+3$.

17

8.3-a6:

12.690574342122364819155786846722745

comment: LMFDB curve 2.2.17.1-8.3-a6 has conductor ideal $(-w-3)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-4a-12\right){x}-29a-31$.

17

8.4-a1:

25.381148684244729638311573693445491

comment: LMFDB curve 2.2.17.1-8.4-a1 has conductor ideal $(w-4)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(3a-11\right){x}-3a+6$.

17

8.4-a2:

12.690574342122364819155786846722745

comment: LMFDB curve 2.2.17.1-8.4-a2 has conductor ideal $(w-4)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-6a+13\right){x}+33a-86$.

17

8.4-a3:

25.381148684244729638311573693445491

comment: LMFDB curve 2.2.17.1-8.4-a3 has conductor ideal $(w-4)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+2a{x}+a$.

17

8.4-a4:

25.381148684244729638311573693445491

comment: LMFDB curve 2.2.17.1-8.4-a4 has conductor ideal $(w-4)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(-14a-23\right){x}-47a-74$.

17

8.4-a5:

12.690574342122364819155786846722745

comment: LMFDB curve 2.2.17.1-8.4-a5 has conductor ideal $(w-4)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(7a-20\right){x}+15a-40$.

17

8.4-a6:

6.3452871710611824095778934233613728

comment: LMFDB curve 2.2.17.1-8.4-a6 has conductor ideal $(w-4)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}-a{x}^{2}+\left(-80a+205\right){x}-1186a+3038$.

17

9.1-b1:

0.80854775674369725141866352864990439

comment: LMFDB curve 2.2.17.1-9.1-b1 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+{y}={x}^{3}-a{x}^{2}+\left(795a-2035\right){x}+17928a-45924$.

17

9.1-b2:

20.213693918592431285466588216247609

comment: LMFDB curve 2.2.17.1-9.1-b2 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+{y}={x}^{3}-a{x}^{2}+\left(-5a+15\right){x}+2a-6$.

17

9.1-a1:

15.988921889123692524258642767346565

comment: LMFDB curve 2.2.17.1-9.1-a1 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(48a-123\right){x}+291a-749$.

17

9.1-a2:

15.988921889123692524258642767346565

comment: LMFDB curve 2.2.17.1-9.1-a2 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(32a-79\right){x}-131a+330$.

17

9.1-a3:

7.9944609445618462621293213836732827

comment: LMFDB curve 2.2.17.1-9.1-a3 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(58a+92\right){x}+322a+503$.

17

9.1-a4:

31.977843778247385048517285534693131

comment: LMFDB curve 2.2.17.1-9.1-a4 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-22a-33\right){x}+71a+111$.

17

9.1-a5:

31.977843778247385048517285534693131

comment: LMFDB curve 2.2.17.1-9.1-a5 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(2a-4\right){x}-2a+3$.

17

9.1-a6:

31.977843778247385048517285534693131

comment: LMFDB curve 2.2.17.1-9.1-a6 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-a-2\right){x}-1$.

17

9.1-a7:

15.988921889123692524258642767346565

comment: LMFDB curve 2.2.17.1-9.1-a7 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-49a-74\right){x}-292a-457$.

17

9.1-a8:

15.988921889123692524258642767346565

comment: LMFDB curve 2.2.17.1-9.1-a8 has conductor ideal $(3)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-31a-47\right){x}+99a+152$.

17

16.1-a1:

1.5183209502654180195762491193956925

comment: LMFDB curve 2.2.17.1-16.1-a1 has conductor ideal $(4)$, rank $0$, and equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-38a-77\right){x}-268a-444$.

17

16.1-a2:

13.664888552388762176186242074561232

comment: LMFDB curve 2.2.17.1-16.1-a2 has conductor ideal $(4)$, rank $0$, and equation ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(2a+3\right){x}$.

17

16.1-a3:

13.664888552388762176186242074561232

comment: LMFDB curve 2.2.17.1-16.1-a3 has conductor ideal $(4)$, rank $0$, and equation ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+4{x}+a-4$.

17

16.1-a4:

1.5183209502654180195762491193956925

comment: LMFDB curve 2.2.17.1-16.1-a4 has conductor ideal $(4)$, rank $0$, and equation ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(40a-116\right){x}+229a-596$.

17

16.4-a1:

9.2352306551808894159070003676336332

comment: LMFDB curve 2.2.17.1-16.4-a1 has conductor ideal $(w+4)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-a-3\right){x}-6a-10$.

17

16.4-a2:

18.470461310361778831814000735267266

comment: LMFDB curve 2.2.17.1-16.4-a2 has conductor ideal $(w+4)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}$.

17

16.4-a3:

36.940922620723557663628001470534532

comment: LMFDB curve 2.2.17.1-16.4-a3 has conductor ideal $(w+4)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-9a-15\right){x}-6a-10$.

17

16.4-a4:

18.470461310361778831814000735267266

comment: LMFDB curve 2.2.17.1-16.4-a4 has conductor ideal $(w+4)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+a{x}$.

17

16.4-a5:

36.940922620723557663628001470534532

comment: LMFDB curve 2.2.17.1-16.4-a5 has conductor ideal $(w+4)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-124a-195\right){x}+916a+1430$.

17

16.4-a6:

4.6176153275904447079535001838168166

comment: LMFDB curve 2.2.17.1-16.4-a6 has conductor ideal $(w+4)$, rank $0$, and equation ${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}-4a{x}-5a-20$.

17

16.5-a1:

18.470461310361778831814000735267266

comment: LMFDB curve 2.2.17.1-16.5-a1 has conductor ideal $(-w+5)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}-2a{x}-a$.

17

16.5-a2:

4.6176153275904447079535001838168166

comment: LMFDB curve 2.2.17.1-16.5-a2 has conductor ideal $(-w+5)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(7a-2\right){x}+5a-5$.

17

16.5-a3:

18.470461310361778831814000735267266

comment: LMFDB curve 2.2.17.1-16.5-a3 has conductor ideal $(-w+5)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}={x}^{3}+a{x}^{2}+\left(2a+3\right){x}$.

17

16.5-a4:

36.940922620723557663628001470534532

comment: LMFDB curve 2.2.17.1-16.5-a4 has conductor ideal $(-w+5)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(12a-22\right){x}-7a+26$.

17

16.5-a5:

9.2352306551808894159070003676336332

comment: LMFDB curve 2.2.17.1-16.5-a5 has conductor ideal $(-w+5)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-a-4\right){x}+5a-16$.

17

16.5-a6:

36.940922620723557663628001470534532

comment: LMFDB curve 2.2.17.1-16.5-a6 has conductor ideal $(-w+5)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(127a-317\right){x}-1109a+2848$.

17

17.1-a1:

0.59836394096194868304712971345340286

comment: LMFDB curve 2.2.17.1-17.1-a1 has conductor ideal $(-2*w+1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(330a-936\right){x}+4996a-13110$.

17

17.1-a2:

2.3934557638477947321885188538136114

comment: LMFDB curve 2.2.17.1-17.1-a2 has conductor ideal $(-2*w+1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-{x}-14$.

17

17.1-a3:

38.295292221564715715016301661017783

comment: LMFDB curve 2.2.17.1-17.1-a3 has conductor ideal $(-2*w+1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(6a+9\right){x}+4a+6$.

17

17.1-a4:

38.295292221564715715016301661017783

comment: LMFDB curve 2.2.17.1-17.1-a4 has conductor ideal $(-2*w+1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-{x}$.

17

17.1-a5:

9.5738230553911789287540754152544457

comment: LMFDB curve 2.2.17.1-17.1-a5 has conductor ideal $(-2*w+1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-6{x}-4$.

17

17.1-a6:

38.295292221564715715016301661017783

comment: LMFDB curve 2.2.17.1-17.1-a6 has conductor ideal $(-2*w+1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-6a+15\right){x}-4a+10$.

17

17.1-a7:

2.3934557638477947321885188538136114

comment: LMFDB curve 2.2.17.1-17.1-a7 has conductor ideal $(-2*w+1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-91{x}-310$.

17

17.1-a8:

0.59836394096194868304712971345340286

comment: LMFDB curve 2.2.17.1-17.1-a8 has conductor ideal $(-2*w+1)$, rank $1$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-330a-606\right){x}-4996a-8114$.

17

18.1-a1:

1.6806398324074782732863300944642873

comment: LMFDB curve 2.2.17.1-18.1-a1 has conductor ideal $(-3*w+6)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(304a-779\right){x}+4017a-10293$.

17

18.1-a2:

26.890237318519652372581281511428598

comment: LMFDB curve 2.2.17.1-18.1-a2 has conductor ideal $(-3*w+6)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}-2a-3$.

17

18.1-a3:

26.890237318519652372581281511428598

comment: LMFDB curve 2.2.17.1-18.1-a3 has conductor ideal $(-3*w+6)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}-2a{x}+1$.

17

18.1-a4:

26.890237318519652372581281511428598

comment: LMFDB curve 2.2.17.1-18.1-a4 has conductor ideal $(-3*w+6)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(4a-9\right){x}-7a+17$.

17

18.1-a5:

6.7225593296299130931453203778571495

comment: LMFDB curve 2.2.17.1-18.1-a5 has conductor ideal $(-3*w+6)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(19a-49\right){x}+53a-139$.

17

18.1-a6:

1.6806398324074782732863300944642873

comment: LMFDB curve 2.2.17.1-18.1-a6 has conductor ideal $(-3*w+6)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-26a+41\right){x}+269a-769$.

17

18.2-a1:

1.6806398324074782732863300944642873

comment: LMFDB curve 2.2.17.1-18.2-a1 has conductor ideal $(-3*w-3)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(25a+15\right){x}-270a-500$.

17

18.2-a2:

26.890237318519652372581281511428598

comment: LMFDB curve 2.2.17.1-18.2-a2 has conductor ideal $(-3*w-3)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(a-1\right){x}-a+2$.

17

18.2-a3:

26.890237318519652372581281511428598

comment: LMFDB curve 2.2.17.1-18.2-a3 has conductor ideal $(-3*w-3)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-5a-5\right){x}+6a+10$.

17

18.2-a4:

6.7225593296299130931453203778571495

comment: LMFDB curve 2.2.17.1-18.2-a4 has conductor ideal $(-3*w-3)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-20a-30\right){x}-54a-86$.

17

18.2-a5:

26.890237318519652372581281511428598

comment: LMFDB curve 2.2.17.1-18.2-a5 has conductor ideal $(-3*w-3)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-a+2\right){x}+2a-5$.

17

18.2-a6:

1.6806398324074782732863300944642873

comment: LMFDB curve 2.2.17.1-18.2-a6 has conductor ideal $(-3*w-3)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-305a-475\right){x}-4018a-6276$.

17

26.1-a1:

26.233554248044369284068449972730033

comment: LMFDB curve 2.2.17.1-26.1-a1 has conductor ideal $(w+5)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(13a-32\right){x}-28a+71$.

17

26.1-a2:

26.233554248044369284068449972730033

comment: LMFDB curve 2.2.17.1-26.1-a2 has conductor ideal $(w+5)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a+1\right){x}$.

17

26.1-a3:

26.233554248044369284068449972730033

comment: LMFDB curve 2.2.17.1-26.1-a3 has conductor ideal $(w+5)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}-a{x}^{2}+\left(-17a-26\right){x}+66a+103$.

17

26.1-a4:

6.5583885620110923210171124931825083

comment: LMFDB curve 2.2.17.1-26.1-a4 has conductor ideal $(w+5)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-4a-4\right){x}-13a-21$.

17

26.2-a1:

14.766082388518213365984631171010280

comment: LMFDB curve 2.2.17.1-26.2-a1 has conductor ideal $(-3*w+5)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(139a-356\right){x}-1316a+3371$.

17

26.2-a2:

7.3830411942591066829923155855051404

comment: LMFDB curve 2.2.17.1-26.2-a2 has conductor ideal $(-3*w+5)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(a-2\right){x}+2a-5$.

17

26.2-a3:

3.6915205971295533414961577927525702

comment: LMFDB curve 2.2.17.1-26.2-a3 has conductor ideal $(-3*w+5)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-20a+52\right){x}+15a-39$.

17

26.2-a4:

14.766082388518213365984631171010280

comment: LMFDB curve 2.2.17.1-26.2-a4 has conductor ideal $(-3*w+5)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(5a-13\right){x}$.

17

26.2-a5:

14.766082388518213365984631171010280

comment: LMFDB curve 2.2.17.1-26.2-a5 has conductor ideal $(-3*w+5)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-10a-16\right){x}+25a+39$.

17

26.2-a6:

14.766082388518213365984631171010280

comment: LMFDB curve 2.2.17.1-26.2-a6 has conductor ideal $(-3*w+5)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-14a-23\right){x}-39a-60$.

17

26.2-a7:

7.3830411942591066829923155855051404

comment: LMFDB curve 2.2.17.1-26.2-a7 has conductor ideal $(-3*w+5)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-155a-251\right){x}+1582a+2462$.

17

26.2-a8:

3.6915205971295533414961577927525702

comment: LMFDB curve 2.2.17.1-26.2-a8 has conductor ideal $(-3*w+5)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-229a-358\right){x}-2654a-4143$.

17

26.3-a1:

7.3830411942591066829923155855051404

comment: LMFDB curve 2.2.17.1-26.3-a1 has conductor ideal $(3*w+2)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-a-1\right){x}-2a-3$.

17

26.3-a2:

3.6915205971295533414961577927525702

comment: LMFDB curve 2.2.17.1-26.3-a2 has conductor ideal $(3*w+2)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(229a-587\right){x}+2654a-6797$.

17

26.3-a3:

3.6915205971295533414961577927525702

comment: LMFDB curve 2.2.17.1-26.3-a3 has conductor ideal $(3*w+2)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(20a+32\right){x}-15a-24$.

17

26.3-a4:

14.766082388518213365984631171010280

comment: LMFDB curve 2.2.17.1-26.3-a4 has conductor ideal $(3*w+2)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-5a-8\right){x}$.

17

26.3-a5:

14.766082388518213365984631171010280

comment: LMFDB curve 2.2.17.1-26.3-a5 has conductor ideal $(3*w+2)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(14a-37\right){x}+39a-99$.

17

26.3-a6:

14.766082388518213365984631171010280

comment: LMFDB curve 2.2.17.1-26.3-a6 has conductor ideal $(3*w+2)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(10a-26\right){x}-25a+64$.

17

26.3-a7:

14.766082388518213365984631171010280

comment: LMFDB curve 2.2.17.1-26.3-a7 has conductor ideal $(3*w+2)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(-139a-217\right){x}+1316a+2055$.

17

26.3-a8:

7.3830411942591066829923155855051404

comment: LMFDB curve 2.2.17.1-26.3-a8 has conductor ideal $(3*w+2)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(155a-406\right){x}-1582a+4044$.

17

26.4-a1:

6.5583885620110923210171124931825083

comment: LMFDB curve 2.2.17.1-26.4-a1 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(6a-10\right){x}+8a-25$.

17

26.4-a2:

26.233554248044369284068449972730033

comment: LMFDB curve 2.2.17.1-26.4-a2 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+a{x}-1$.

17

26.4-a3:

26.233554248044369284068449972730033

comment: LMFDB curve 2.2.17.1-26.4-a3 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-13a-19\right){x}+28a+43$.

17

26.4-a4:

26.233554248044369284068449972730033

comment: LMFDB curve 2.2.17.1-26.4-a4 has conductor ideal $(w-6)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(17a-43\right){x}-66a+169$.

17

32.3-a1:

3.8857831007688116673167024072515724

comment: LMFDB curve 2.2.17.1-32.3-a1 has conductor ideal $(-2*w-6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-60a+146\right){x}+1782a-4567$.

17

32.3-a2:

5.8286746511532175009750536108773586

comment: LMFDB curve 2.2.17.1-32.3-a2 has conductor ideal $(-2*w-6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-4a-6\right){x}-16a-25$.

17

32.3-a3:

1.9428915503844058336583512036257862

comment: LMFDB curve 2.2.17.1-32.3-a3 has conductor ideal $(-2*w-6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(21a+29\right){x}+404a+627$.

17

32.3-a4:

11.657349302306435001950107221754717

comment: LMFDB curve 2.2.17.1-32.3-a4 has conductor ideal $(-2*w-6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(5a-19\right){x}-68a+171$.

17

32.3-a5:

23.314698604612870003900214443509434

comment: LMFDB curve 2.2.17.1-32.3-a5 has conductor ideal $(-2*w-6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}-2{x}-4a-5$.

17

32.3-a6:

0.97144577519220291682917560181289310

comment: LMFDB curve 2.2.17.1-32.3-a6 has conductor ideal $(-2*w-6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(6440a-16514\right){x}+410032a-1050341$.

17

32.3-a7:

3.8857831007688116673167024072515724

comment: LMFDB curve 2.2.17.1-32.3-a7 has conductor ideal $(-2*w-6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(400a-1034\right){x}+6672a-17093$.

17

32.3-a8:

11.657349302306435001950107221754717

comment: LMFDB curve 2.2.17.1-32.3-a8 has conductor ideal $(-2*w-6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(5a-19\right){x}+6a-19$.

17

32.3-a9:

23.314698604612870003900214443509434

comment: LMFDB curve 2.2.17.1-32.3-a9 has conductor ideal $(-2*w-6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-20a-62\right){x}+44a+139$.

17

32.3-a10:

7.7715662015376233346334048145031448

comment: LMFDB curve 2.2.17.1-32.3-a10 has conductor ideal $(-2*w-6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-145a-237\right){x}+1100a+1707$.

17

32.3-a11:

2.9143373255766087504875268054386793

comment: LMFDB curve 2.2.17.1-32.3-a11 has conductor ideal $(-2*w-6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(75a-209\right){x}+618a-1607$.

17

32.3-a12:

7.7715662015376233346334048145031448

comment: LMFDB curve 2.2.17.1-32.3-a12 has conductor ideal $(-2*w-6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-2385a-3757\right){x}+86220a+134699$.

17

32.4-a1:

1.9428915503844058336583512036257862

comment: LMFDB curve 2.2.17.1-32.4-a1 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-23a+52\right){x}-405a+1032$.

17

32.4-a2:

11.657349302306435001950107221754717

comment: LMFDB curve 2.2.17.1-32.4-a2 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-7a-12\right){x}+67a+104$.

17

32.4-a3:

3.8857831007688116673167024072515724

comment: LMFDB curve 2.2.17.1-32.4-a3 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(58a+88\right){x}-1783a-2784$.

17

32.4-a4:

5.8286746511532175009750536108773586

comment: LMFDB curve 2.2.17.1-32.4-a4 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(2a-8\right){x}+15a-40$.

17

32.4-a5:

11.657349302306435001950107221754717

comment: LMFDB curve 2.2.17.1-32.4-a5 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-7a-12\right){x}-7a-12$.

17

32.4-a6:

7.7715662015376233346334048145031448

comment: LMFDB curve 2.2.17.1-32.4-a6 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(2388a-6147\right){x}-92365a+236610$.

17

32.4-a7:

7.7715662015376233346334048145031448

comment: LMFDB curve 2.2.17.1-32.4-a7 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(148a-387\right){x}-1485a+3778$.

17

32.4-a8:

23.314698604612870003900214443509434

comment: LMFDB curve 2.2.17.1-32.4-a8 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(3a-7\right){x}-a+2$.

17

32.4-a9:

2.9143373255766087504875268054386793

comment: LMFDB curve 2.2.17.1-32.4-a9 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-77a-132\right){x}-619a-988$.

17

32.4-a10:

3.8857831007688116673167024072515724

comment: LMFDB curve 2.2.17.1-32.4-a10 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-402a-632\right){x}-6673a-10420$.

17

32.4-a11:

23.314698604612870003900214443509434

comment: LMFDB curve 2.2.17.1-32.4-a11 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(23a-87\right){x}-129a+354$.

17

32.4-a12:

0.97144577519220291682917560181289310

comment: LMFDB curve 2.2.17.1-32.4-a12 has conductor ideal $(2*w-8)$, rank $0$, and equation ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-6442a-10072\right){x}-410033a-640308$.

17

34.1-a1:

23.308160723371857179104589981479732

comment: LMFDB curve 2.2.17.1-34.1-a1 has conductor ideal $(3*w-10)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}-{x}^{2}-3{x}+85a-219$.

17

34.1-a2:

2.5897956359302063532338433312755258

comment: LMFDB curve 2.2.17.1-34.1-a2 has conductor ideal $(3*w-10)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(45a+71\right){x}+183a+285$.

17

34.2-a1:

2.5897956359302063532338433312755258

comment: LMFDB curve 2.2.17.1-34.2-a1 has conductor ideal $(3*w+7)$, rank $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-43a+117\right){x}-112a+290$.

17

34.2-a2:

23.308160723371857179104589981479732

comment: LMFDB curve 2.2.17.1-34.2-a2 has conductor ideal $(3*w+7)$, rank $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(-2a-2\right){x}-86a-134$.

17

36.2-a1:

7.6987665371845856866470985229441405

comment: LMFDB curve 2.2.17.1-36.2-a1 has conductor ideal $(3*w)$, rank $0$, and equation ${y}^2+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(2a+3\right){x}+10a+15$.

17

36.1-a1:

0.32483728598412977601967810433656373

comment: LMFDB curve 2.2.17.1-36.1-a1 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(1914a-5087\right){x}+68090a-175221$.

17

36.1-a2:

8.1209321496032444004919526084140934

comment: LMFDB curve 2.2.17.1-36.1-a2 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(4a-7\right){x}+4a-13$.

17

36.1-a3:

8.1209321496032444004919526084140934

comment: LMFDB curve 2.2.17.1-36.1-a3 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-3a-3\right){x}-9a-11$.

17

36.1-a4:

16.241864299206488800983905216828186

comment: LMFDB curve 2.2.17.1-36.1-a4 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-174a-270\right){x}+1819a+2840$.

17

36.1-a5:

0.64967457196825955203935620867312747

comment: LMFDB curve 2.2.17.1-36.1-a5 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-19854a-31020\right){x}-2108519a-3292606$.

17

36.1-a6:

16.241864299206488800983905216828186

comment: LMFDB curve 2.2.17.1-36.1-a6 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-2734a-4270\right){x}+113851a+177784$.

17

36.1-a7:

0.64967457196825955203935620867312747

comment: LMFDB curve 2.2.17.1-36.1-a7 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-19694a-30770\right){x}-2145537a-3350412$.

17

36.1-a8:

0.32483728598412977601967810433656373

comment: LMFDB curve 2.2.17.1-36.1-a8 has conductor ideal $(6)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-1913a-3173\right){x}-70005a-110303$.

17

36.3-a1:

7.6987665371845856866470985229441405

comment: LMFDB curve 2.2.17.1-36.3-a1 has conductor ideal $(3*w-3)$, rank $0$, and equation ${y}^2+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+4{x}-10a+21$.

17

38.1-a1:

16.314546895013664966479225056034003

comment: LMFDB curve 2.2.17.1-38.1-a1 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(a+3\right){x}+a+1$.

17

38.1-a2:

1.8127274327792961073865805617815559

comment: LMFDB curve 2.2.17.1-38.1-a2 has conductor ideal $(w+6)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(21a-47\right){x}+54a-135$.

17

38.2-a1:

31.073080620971144785282680425768322

comment: LMFDB curve 2.2.17.1-38.2-a1 has conductor ideal $(-3*w+2)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(3a-7\right){x}-2a+5$.

17

38.2-a2:

31.073080620971144785282680425768322

comment: LMFDB curve 2.2.17.1-38.2-a2 has conductor ideal $(-3*w+2)$, rank $1$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-4a-5\right){x}+a+1$.

17

38.2-a3:

15.536540310485572392641340212884161

comment: LMFDB curve 2.2.17.1-38.2-a3 has conductor ideal $(-3*w+2)$, rank $1$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-5\right){x}+a-6$.

17

38.2-a4:

15.536540310485572392641340212884161

comment: LMFDB curve 2.2.17.1-38.2-a4 has conductor ideal $(-3*w+2)$, rank $1$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-49a-75\right){x}+243a+379$.

17

38.3-a1:

15.536540310485572392641340212884161

comment: LMFDB curve 2.2.17.1-38.3-a1 has conductor ideal $(3*w-1)$, rank $1$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(48a-124\right){x}-244a+622$.

17

38.3-a2:

31.073080620971144785282680425768322

comment: LMFDB curve 2.2.17.1-38.3-a2 has conductor ideal $(3*w-1)$, rank $1$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(3a-9\right){x}-2a+2$.

17

38.3-a3:

31.073080620971144785282680425768322

comment: LMFDB curve 2.2.17.1-38.3-a3 has conductor ideal $(3*w-1)$, rank $1$, and equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(-3a-4\right){x}+2a+3$.

17

38.3-a4:

15.536540310485572392641340212884161

comment: LMFDB curve 2.2.17.1-38.3-a4 has conductor ideal $(3*w-1)$, rank $1$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-2a-3\right){x}-2a-4$.

17

38.4-a1:

1.8127274327792961073865805617815559

comment: LMFDB curve 2.2.17.1-38.4-a1 has conductor ideal $(w-7)$, rank $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-19a-29\right){x}-103a-163$.

17

38.4-a2:

16.314546895013664966479225056034003

comment: LMFDB curve 2.2.17.1-38.4-a2 has conductor ideal $(w-7)$, rank $0$, and equation ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(a+1\right){x}$.

17

43.1-a1:

6.8312904251152027244164700707668431

comment: LMFDB curve 2.2.17.1-43.1-a1 has conductor ideal $(-4*w+7)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(8a+12\right){x}-26a-41$.

17

43.1-a2:

27.325161700460810897665880283067372

comment: LMFDB curve 2.2.17.1-43.1-a2 has conductor ideal $(-4*w+7)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-2a-3\right){x}$.

17

43.1-a3:

54.650323400921621795331760566134745

comment: LMFDB curve 2.2.17.1-43.1-a3 has conductor ideal $(-4*w+7)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(3a-7\right){x}-7a+18$.

17

43.1-a4:

13.662580850230405448832940141533686

comment: LMFDB curve 2.2.17.1-43.1-a4 has conductor ideal $(-4*w+7)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-a+7\right){x}-a+4$.

17

43.2-a1:

13.662580850230405448832940141533686

comment: LMFDB curve 2.2.17.1-43.2-a1 has conductor ideal $(4*w+3)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(3a+4\right){x}-a-2$.

17

43.2-a2:

27.325161700460810897665880283067372

comment: LMFDB curve 2.2.17.1-43.2-a2 has conductor ideal $(4*w+3)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(4a-6\right){x}+3a-6$.

17

43.2-a3:

6.8312904251152027244164700707668431

comment: LMFDB curve 2.2.17.1-43.2-a3 has conductor ideal $(4*w+3)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-6a+19\right){x}+19a-48$.

17

43.2-a4:

54.650323400921621795331760566134745

comment: LMFDB curve 2.2.17.1-43.2-a4 has conductor ideal $(4*w+3)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(-3a-4\right){x}+7a+11$.

17

47.1-a1:

28.429745208095118018763580523484026

comment: LMFDB curve 2.2.17.1-47.1-a1 has conductor ideal $(-2*w+9)$, rank $1$, and equation ${y}^2+{y}={x}^{3}+\left(a-1\right){x}^{2}+{x}$.

17

47.2-a1:

28.429745208095118018763580523484026

comment: LMFDB curve 2.2.17.1-47.2-a1 has conductor ideal $(2*w+7)$, rank $1$, and equation ${y}^2+{y}={x}^{3}-a{x}^{2}+{x}$.

17

50.1-b1:

6.5289654835480120146201397607598891

comment: LMFDB curve 2.2.17.1-50.1-b1 has conductor ideal $(-5*w+10)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+{x}^{2}+\left(6a-14\right){x}+13a-32$.

17

50.1-a1:

17.459105530408123266719111137755593

comment: LMFDB curve 2.2.17.1-50.1-a1 has conductor ideal $(-5*w+10)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(14a-34\right){x}-24a+57$.

17

50.1-a2:

1.0911940956505077041699444461097246

comment: LMFDB curve 2.2.17.1-50.1-a2 has conductor ideal $(-5*w+10)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(111a-33\right){x}+97a-1131$.

17

50.1-a3:

4.3647763826020308166797777844388984

comment: LMFDB curve 2.2.17.1-50.1-a3 has conductor ideal $(-5*w+10)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-14a-33\right){x}-3a-31$.

17

50.1-a4:

17.459105530408123266719111137755593

comment: LMFDB curve 2.2.17.1-50.1-a4 has conductor ideal $(-5*w+10)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-9a-13\right){x}+27a+41$.

17

50.1-a5:

1.0911940956505077041699444461097246

comment: LMFDB curve 2.2.17.1-50.1-a5 has conductor ideal $(-5*w+10)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-219a-353\right){x}-2403a-3779$.

17

50.1-a6:

17.459105530408123266719111137755593

comment: LMFDB curve 2.2.17.1-50.1-a6 has conductor ideal $(-5*w+10)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-a+2\right){x}+7a-21$.

17

50.1-c1:

1.6377545422960274909199797508891036

comment: LMFDB curve 2.2.17.1-50.1-c1 has conductor ideal $(-5*w+10)$, rank $0$, and equation ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-33a-52\right){x}-250a-391$.

17

50.2-a1:

1.0911940956505077041699444461097246

comment: LMFDB curve 2.2.17.1-50.2-a1 has conductor ideal $(-5*w-5)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(218a-572\right){x}+2402a-6182$.

17

50.2-a2:

17.459105530408123266719111137755593

comment: LMFDB curve 2.2.17.1-50.2-a2 has conductor ideal $(-5*w-5)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+2a{x}-10a-14$.

17

50.2-a3:

17.459105530408123266719111137755593

comment: LMFDB curve 2.2.17.1-50.2-a3 has conductor ideal $(-5*w-5)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-13a-20\right){x}+9a+14$.

17

50.2-a4:

17.459105530408123266719111137755593

comment: LMFDB curve 2.2.17.1-50.2-a4 has conductor ideal $(-5*w-5)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(8a-22\right){x}-28a+68$.

17

50.2-a5:

4.3647763826020308166797777844388984

comment: LMFDB curve 2.2.17.1-50.2-a5 has conductor ideal $(-5*w-5)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(13a-47\right){x}+2a-34$.

17

50.2-a6:

1.0911940956505077041699444461097246

comment: LMFDB curve 2.2.17.1-50.2-a6 has conductor ideal $(-5*w-5)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-112a+78\right){x}-98a-1034$.

17

50.2-b1:

6.5289654835480120146201397607598891

comment: LMFDB curve 2.2.17.1-50.2-b1 has conductor ideal $(-5*w-5)$, rank $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-6a-8\right){x}-7a-11$.

17

50.2-c1:

1.6377545422960274909199797508891036

comment: LMFDB curve 2.2.17.1-50.2-c1 has conductor ideal $(-5*w-5)$, rank $0$, and equation ${y}^2+a{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(37a-91\right){x}+160a-409$.

17

52.3-b1:

45.060840259265797091824272258690125

comment: LMFDB curve 2.2.17.1-52.3-b1 has conductor ideal $(w+7)$, rank $1$, and equation ${y}^2+\left(a+1\right){y}={x}^{3}+\left(-16a-25\right){x}+50a+78$.

17

52.3-a1:

1.2873560106115534530068741674792615

comment: LMFDB curve 2.2.17.1-52.3-a1 has conductor ideal $(w+7)$, rank $0$, and equation ${y}^2+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(301a-771\right){x}+4140a-10608$.

17

52.3-a2:

11.586204095503981077061867507313353

comment: LMFDB curve 2.2.17.1-52.3-a2 has conductor ideal $(w+7)$, rank $0$, and equation ${y}^2+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-2a-3\right){x}-7a-11$.

17

52.1-b1:

1.6661844116218305808085330193543682

comment: LMFDB curve 2.2.17.1-52.1-b1 has conductor ideal $(-4*w+6)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(532a-1365\right){x}-3584a+9177$.

17

52.1-b2:

14.995659704596475227276797174189314

comment: LMFDB curve 2.2.17.1-52.1-b2 has conductor ideal $(-4*w+6)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(167a+263\right){x}+2745a+4287$.

17

52.1-b3:

3.3323688232436611616170660387087365

comment: LMFDB curve 2.2.17.1-52.1-b3 has conductor ideal $(-4*w+6)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(22a-81\right){x}+113a-312$.

17

52.1-b4:

29.991319409192950454553594348378628

comment: LMFDB curve 2.2.17.1-52.1-b4 has conductor ideal $(-4*w+6)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(27a-70\right){x}-99a+252$.

17

52.1-b5:

14.995659704596475227276797174189314

comment: LMFDB curve 2.2.17.1-52.1-b5 has conductor ideal $(-4*w+6)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-2a-3\right){x}-5a-8$.

17

52.1-b6:

3.3323688232436611616170660387087365

comment: LMFDB curve 2.2.17.1-52.1-b6 has conductor ideal $(-4*w+6)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(282a-725\right){x}+3796a-9727$.

17

52.1-b7:

29.991319409192950454553594348378628

comment: LMFDB curve 2.2.17.1-52.1-b7 has conductor ideal $(-4*w+6)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-3a-6\right){x}+3a+4$.

17

52.1-b8:

1.6661844116218305808085330193543682

comment: LMFDB curve 2.2.17.1-52.1-b8 has conductor ideal $(-4*w+6)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-197a-308\right){x}-2355a-3682$.

17

52.1-a1:

1.7329007617614521261225325639478986

comment: LMFDB curve 2.2.17.1-52.1-a1 has conductor ideal $(-4*w+6)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(31a-81\right){x}+1377a-3529$.

17

52.1-a2:

15.596106855853069135102793075531087

comment: LMFDB curve 2.2.17.1-52.1-a2 has conductor ideal $(-4*w+6)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-4a+9\right){x}-51a+129$.

17

52.1-a3:

31.192213711706138270205586151062175

comment: LMFDB curve 2.2.17.1-52.1-a3 has conductor ideal $(-4*w+6)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}-2{x}-a-1$.

17

52.1-a4:

3.4658015235229042522450651278957972

comment: LMFDB curve 2.2.17.1-52.1-a4 has conductor ideal $(-4*w+6)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-5a-42\right){x}-20a-125$.

17

52.1-c1:

0.18650235464297657510790896969240795

comment: LMFDB curve 2.2.17.1-52.1-c1 has conductor ideal $(-4*w+6)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(5998a-15400\right){x}+359411a-920755$.

17

52.1-c2:

9.1386153775058521802875395149279896

comment: LMFDB curve 2.2.17.1-52.1-c2 has conductor ideal $(-4*w+6)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-12a+30\right){x}-153a+389$.

17

52.1-c3:

18.277230755011704360575079029855979

comment: LMFDB curve 2.2.17.1-52.1-c3 has conductor ideal $(-4*w+6)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-5a-13\right){x}+19a+33$.

17

52.1-c4:

0.37300470928595315021581793938481590

comment: LMFDB curve 2.2.17.1-52.1-c4 has conductor ideal $(-4*w+6)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-775a-3673\right){x}-26663a-89359$.

17

52.2-a1:

1.7329007617614521261225325639478986

comment: LMFDB curve 2.2.17.1-52.2-a1 has conductor ideal $(4*w+2)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-32a-50\right){x}-1378a-2152$.

17

52.2-a2:

15.596106855853069135102793075531087

comment: LMFDB curve 2.2.17.1-52.2-a2 has conductor ideal $(4*w+2)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(3a+5\right){x}+50a+78$.

17

52.2-a3:

31.192213711706138270205586151062175

comment: LMFDB curve 2.2.17.1-52.2-a3 has conductor ideal $(4*w+2)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-a-1\right){x}-1$.

17

52.2-a4:

3.4658015235229042522450651278957972

comment: LMFDB curve 2.2.17.1-52.2-a4 has conductor ideal $(4*w+2)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(4a-46\right){x}+19a-144$.

17

52.2-b1:

1.6661844116218305808085330193543682

comment: LMFDB curve 2.2.17.1-52.2-b1 has conductor ideal $(4*w+2)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(197a-505\right){x}+2355a-6037$.

17

52.2-b2:

14.995659704596475227276797174189314

comment: LMFDB curve 2.2.17.1-52.2-b2 has conductor ideal $(4*w+2)$, rank $0$, and equation ${y}^2+{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(2a-5\right){x}+5a-13$.

17

52.2-b3:

1.6661844116218305808085330193543682

comment: LMFDB curve 2.2.17.1-52.2-b3 has conductor ideal $(4*w+2)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-533a-833\right){x}+3583a+5593$.

17

52.2-b4:

29.991319409192950454553594348378628

comment: LMFDB curve 2.2.17.1-52.2-b4 has conductor ideal $(4*w+2)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(2a-8\right){x}-4a+8$.

17

52.2-b5:

29.991319409192950454553594348378628

comment: LMFDB curve 2.2.17.1-52.2-b5 has conductor ideal $(4*w+2)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-28a-43\right){x}+98a+153$.

17

52.2-b6:

3.3323688232436611616170660387087365

comment: LMFDB curve 2.2.17.1-52.2-b6 has conductor ideal $(4*w+2)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-283a-443\right){x}-3797a-5931$.

17

52.2-b7:

14.995659704596475227276797174189314

comment: LMFDB curve 2.2.17.1-52.2-b7 has conductor ideal $(4*w+2)$, rank $0$, and equation ${y}^2+{x}{y}={x}^{3}+a{x}^{2}+\left(-167a+430\right){x}-2745a+7032$.

17

52.2-b8:

3.3323688232436611616170660387087365

comment: LMFDB curve 2.2.17.1-52.2-b8 has conductor ideal $(4*w+2)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-23a-58\right){x}-114a-198$.

17

52.2-c1:

0.18650235464297657510790896969240795

comment: LMFDB curve 2.2.17.1-52.2-c1 has conductor ideal $(4*w+2)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-5999a-9401\right){x}-359412a-561343$.

17

52.2-c2:

9.1386153775058521802875395149279896

comment: LMFDB curve 2.2.17.1-52.2-c2 has conductor ideal $(4*w+2)$, rank $0$, and equation ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(11a+19\right){x}+152a+237$.

17

52.2-c3:

18.277230755011704360575079029855979

comment: LMFDB curve 2.2.17.1-52.2-c3 has conductor ideal $(4*w+2)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(6a-18\right){x}-15a+35$.

17

52.2-c4:

0.37300470928595315021581793938481590

comment: LMFDB curve 2.2.17.1-52.2-c4 has conductor ideal $(4*w+2)$, rank $0$, and equation ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(776a-4448\right){x}+27437a-120469$.

17

52.6-b1:

45.060840259265797091824272258690125

comment: LMFDB curve 2.2.17.1-52.6-b1 has conductor ideal $(w-8)$, rank $1$, and equation ${y}^2+a{y}={x}^{3}+\left(16a-41\right){x}-51a+129$.

17

52.6-a1:

1.2873560106115534530068741674792615

comment: LMFDB curve 2.2.17.1-52.6-a1 has conductor ideal $(w-8)$, rank $0$, and equation ${y}^2+a{y}={x}^{3}-{x}^{2}+\left(-301a-470\right){x}-4141a-6467$.

17

52.6-a2:

11.586204095503981077061867507313353

comment: LMFDB curve 2.2.17.1-52.6-a2 has conductor ideal $(w-8)$, rank $0$, and equation ${y}^2+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(4a-6\right){x}+9a-23$.