| Label |
Class |
Class size |
Class degree |
Base field |
Field degree |
Field signature |
Conductor |
Conductor norm |
Discriminant norm |
Root analytic conductor |
Bad primes |
Rank |
Torsion |
CM |
CM |
Sato-Tate |
$\Q$-curve |
Base change |
Semistable |
Potentially good |
Nonmax $\ell$ |
mod-$\ell$ images |
$Ш_{\textrm{an}}$ |
Tamagawa |
Regulator |
Period |
Leading coeff |
j-invariant |
Weierstrass coefficients |
Weierstrass equation |
| 50.2-a1 |
50.2-a |
$2$ |
$3$ |
3.3.733.1 |
$3$ |
$[3, 0]$ |
50.2 |
\( 2 \cdot 5^{2} \) |
\( - 2^{9} \cdot 5^{6} \) |
$4.64357$ |
$(a^2-6), (-a+3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$1$ |
\( 3^{2} \) |
$1$ |
$8.977725141$ |
2.984398597 |
\( -\frac{153560745}{512} a^{2} - \frac{233924111}{512} a + \frac{486084887}{512} \) |
\( \bigl[a^{2} + a - 5\) , \( a^{2} + a - 5\) , \( a + 1\) , \( 6 a^{2} + 3 a - 34\) , \( 11 a^{2} + 4 a - 69\bigr] \) |
${y}^2+\left(a^{2}+a-5\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a^{2}+a-5\right){x}^{2}+\left(6a^{2}+3a-34\right){x}+11a^{2}+4a-69$ |
| 50.2-a2 |
50.2-a |
$2$ |
$3$ |
3.3.733.1 |
$3$ |
$[3, 0]$ |
50.2 |
\( 2 \cdot 5^{2} \) |
\( - 2^{3} \cdot 5^{6} \) |
$4.64357$ |
$(a^2-6), (-a+3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$3$ |
3B |
$9$ |
\( 3 \) |
$1$ |
$2.992575047$ |
2.984398597 |
\( -\frac{10660370837109409609}{8} a^{2} - \frac{16184561139235635311}{8} a + \frac{33866655049773828215}{8} \) |
\( \bigl[a^{2} + a - 5\) , \( a^{2} + a - 5\) , \( a + 1\) , \( -44 a^{2} - 7 a + 246\) , \( -83 a^{2} - 111 a + 467\bigr] \) |
${y}^2+\left(a^{2}+a-5\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a^{2}+a-5\right){x}^{2}+\left(-44a^{2}-7a+246\right){x}-83a^{2}-111a+467$ |
| 50.2-b1 |
50.2-b |
$1$ |
$1$ |
3.3.733.1 |
$3$ |
$[3, 0]$ |
50.2 |
\( 2 \cdot 5^{2} \) |
\( 2^{29} \cdot 5^{4} \) |
$4.64357$ |
$(a^2-6), (-a+3)$ |
$1$ |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 3 \cdot 29 \) |
$0.009078818$ |
$43.23147222$ |
3.783710510 |
\( \frac{3748842548801}{536870912} a^{2} - \frac{8163917803081}{536870912} a - \frac{2290187064191}{536870912} \) |
\( \bigl[a^{2} + a - 5\) , \( -a^{2} - a + 6\) , \( a\) , \( 5 a^{2} + 7 a - 19\) , \( a + 1\bigr] \) |
${y}^2+\left(a^{2}+a-5\right){x}{y}+a{y}={x}^{3}+\left(-a^{2}-a+6\right){x}^{2}+\left(5a^{2}+7a-19\right){x}+a+1$ |
| 50.2-c1 |
50.2-c |
$6$ |
$8$ |
3.3.733.1 |
$3$ |
$[3, 0]$ |
50.2 |
\( 2 \cdot 5^{2} \) |
\( 2^{2} \cdot 5^{10} \) |
$4.64357$ |
$(a^2-6), (-a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$89.83913051$ |
1.659141999 |
\( \frac{255581}{2500} a^{2} - \frac{8033}{2500} a + \frac{4266969}{2500} \) |
\( \bigl[a^{2} - 5\) , \( -a\) , \( a^{2} + a - 4\) , \( -244029 a^{2} - 370486 a + 775250\) , \( 63156416 a^{2} + 95883988 a - 200639976\bigr] \) |
${y}^2+\left(a^{2}-5\right){x}{y}+\left(a^{2}+a-4\right){y}={x}^{3}-a{x}^{2}+\left(-244029a^{2}-370486a+775250\right){x}+63156416a^{2}+95883988a-200639976$ |
| 50.2-c2 |
50.2-c |
$6$ |
$8$ |
3.3.733.1 |
$3$ |
$[3, 0]$ |
50.2 |
\( 2 \cdot 5^{2} \) |
\( 2 \cdot 5^{14} \) |
$4.64357$ |
$(a^2-6), (-a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$44.91956525$ |
1.659141999 |
\( \frac{135221999073}{781250} a^{2} + \frac{335585887961}{781250} a - \frac{42363217423}{781250} \) |
\( \bigl[a^{2} - 5\) , \( -a\) , \( a^{2} + a - 4\) , \( -3349884 a^{2} - 5085791 a + 10642160\) , \( 6237926874 a^{2} + 9470412466 a - 19817107762\bigr] \) |
${y}^2+\left(a^{2}-5\right){x}{y}+\left(a^{2}+a-4\right){y}={x}^{3}-a{x}^{2}+\left(-3349884a^{2}-5085791a+10642160\right){x}+6237926874a^{2}+9470412466a-19817107762$ |
| 50.2-c3 |
50.2-c |
$6$ |
$8$ |
3.3.733.1 |
$3$ |
$[3, 0]$ |
50.2 |
\( 2 \cdot 5^{2} \) |
\( - 2 \cdot 5^{8} \) |
$4.64357$ |
$(a^2-6), (-a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{2} \) |
$1$ |
$44.91956525$ |
1.659141999 |
\( -\frac{3657}{50} a^{2} - \frac{49}{50} a + \frac{86007}{50} \) |
\( \bigl[1\) , \( a^{2} + a - 4\) , \( a\) , \( 5 a^{2} - 14 a + 11\) , \( -8 a^{2} + 33 a - 29\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(a^{2}+a-4\right){x}^{2}+\left(5a^{2}-14a+11\right){x}-8a^{2}+33a-29$ |
| 50.2-c4 |
50.2-c |
$6$ |
$8$ |
3.3.733.1 |
$3$ |
$[3, 0]$ |
50.2 |
\( 2 \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{7} \) |
$4.64357$ |
$(a^2-6), (-a+3)$ |
0 |
$\Z/4\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{5} \) |
$1$ |
$22.45978262$ |
1.659141999 |
\( -\frac{3912802297187}{1280} a^{2} - \frac{697237971589}{1280} a + \frac{26568133564637}{1280} \) |
\( \bigl[1\) , \( -a^{2} - a + 4\) , \( a\) , \( 69336684806620174683 a^{2} + 105266864689011245069 a - 220273911904311132151\) , \( -554219055429712096053091077015797 a^{2} - 841414649095262400536171959019288 a + 1760684113062164952069336539993409\bigr] \) |
${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a^{2}-a+4\right){x}^{2}+\left(69336684806620174683a^{2}+105266864689011245069a-220273911904311132151\right){x}-554219055429712096053091077015797a^{2}-841414649095262400536171959019288a+1760684113062164952069336539993409$ |
| 50.2-c5 |
50.2-c |
$6$ |
$8$ |
3.3.733.1 |
$3$ |
$[3, 0]$ |
50.2 |
\( 2 \cdot 5^{2} \) |
\( 2^{4} \cdot 5^{8} \) |
$4.64357$ |
$(a^2-6), (-a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$44.91956525$ |
1.659141999 |
\( \frac{42724081}{400} a^{2} - \frac{180314633}{400} a + \frac{203829169}{400} \) |
\( \bigl[a + 1\) , \( -a^{2} - a + 6\) , \( a^{2} + a - 4\) , \( -78197826161174 a^{2} - 118719837968040 a + 248424641572868\) , \( -691710806524498198688 a^{2} - 1050154446775467734780 a + 2197478083709730946512\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a^{2}+a-4\right){y}={x}^{3}+\left(-a^{2}-a+6\right){x}^{2}+\left(-78197826161174a^{2}-118719837968040a+248424641572868\right){x}-691710806524498198688a^{2}-1050154446775467734780a+2197478083709730946512$ |
| 50.2-c6 |
50.2-c |
$6$ |
$8$ |
3.3.733.1 |
$3$ |
$[3, 0]$ |
50.2 |
\( 2 \cdot 5^{2} \) |
\( - 2^{2} \cdot 5^{7} \) |
$4.64357$ |
$(a^2-6), (-a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{3} \) |
$1$ |
$5.614945657$ |
1.659141999 |
\( \frac{6198636053943}{20} a^{2} - \frac{22873813810939}{20} a + \frac{18345209369907}{20} \) |
\( \bigl[a + 1\) , \( -a^{2} - a + 6\) , \( a^{2} + a - 4\) , \( -1245300959518589 a^{2} - 1890614297010965 a + 3956164252969328\) , \( -44711861079832636698762 a^{2} - 67881489335861974539686 a + 142043949404925919778996\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a^{2}+a-4\right){y}={x}^{3}+\left(-a^{2}-a+6\right){x}^{2}+\left(-1245300959518589a^{2}-1890614297010965a+3956164252969328\right){x}-44711861079832636698762a^{2}-67881489335861974539686a+142043949404925919778996$ |
| 50.2-d1 |
50.2-d |
$1$ |
$1$ |
3.3.733.1 |
$3$ |
$[3, 0]$ |
50.2 |
\( 2 \cdot 5^{2} \) |
\( 2^{29} \cdot 5^{10} \) |
$4.64357$ |
$(a^2-6), (-a+3)$ |
0 |
$\mathsf{trivial}$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
|
$1$ |
\( 29 \) |
$1$ |
$3.536828603$ |
3.788436609 |
\( \frac{3748842548801}{536870912} a^{2} - \frac{8163917803081}{536870912} a - \frac{2290187064191}{536870912} \) |
\( \bigl[a^{2} + a - 5\) , \( -a^{2} - a + 5\) , \( a^{2} - 5\) , \( 877 a^{2} + 1330 a - 2790\) , \( -1693 a^{2} - 2574 a + 5367\bigr] \) |
${y}^2+\left(a^{2}+a-5\right){x}{y}+\left(a^{2}-5\right){y}={x}^{3}+\left(-a^{2}-a+5\right){x}^{2}+\left(877a^{2}+1330a-2790\right){x}-1693a^{2}-2574a+5367$ |
| 50.2-e1 |
50.2-e |
$4$ |
$6$ |
3.3.733.1 |
$3$ |
$[3, 0]$ |
50.2 |
\( 2 \cdot 5^{2} \) |
\( - 2^{18} \cdot 5^{6} \) |
$4.64357$ |
$(a^2-6), (-a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$0.665824085$ |
$31.39097744$ |
2.315973615 |
\( -\frac{1308241604941929}{262144} a^{2} - \frac{233087636858447}{262144} a + \frac{8883119257726807}{262144} \) |
\( \bigl[a^{2} - 5\) , \( a^{2} + a - 4\) , \( a + 1\) , \( 183 a^{2} + 45 a - 1267\) , \( -2063 a^{2} - 544 a + 14454\bigr] \) |
${y}^2+\left(a^{2}-5\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a^{2}+a-4\right){x}^{2}+\left(183a^{2}+45a-1267\right){x}-2063a^{2}-544a+14454$ |
| 50.2-e2 |
50.2-e |
$4$ |
$6$ |
3.3.733.1 |
$3$ |
$[3, 0]$ |
50.2 |
\( 2 \cdot 5^{2} \) |
\( - 2^{6} \cdot 5^{6} \) |
$4.64357$ |
$(a^2-6), (-a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$0.221941361$ |
$94.17293232$ |
2.315973615 |
\( \frac{23863}{64} a^{2} + \frac{97489}{64} a + \frac{93431}{64} \) |
\( \bigl[a^{2} - 5\) , \( a^{2} + a - 4\) , \( a + 1\) , \( 3 a^{2} - 12\) , \( -2 a^{2} + 6 a\bigr] \) |
${y}^2+\left(a^{2}-5\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a^{2}+a-4\right){x}^{2}+\left(3a^{2}-12\right){x}-2a^{2}+6a$ |
| 50.2-e3 |
50.2-e |
$4$ |
$6$ |
3.3.733.1 |
$3$ |
$[3, 0]$ |
50.2 |
\( 2 \cdot 5^{2} \) |
\( 2^{12} \cdot 5^{6} \) |
$4.64357$ |
$(a^2-6), (-a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$0.443882723$ |
$47.08646616$ |
2.315973615 |
\( \frac{2615577}{4096} a^{2} - \frac{11083745}{4096} a + \frac{12352857}{4096} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a^{2} - 4\) , \( 117805 a^{2} + 178851 a - 374248\) , \( 99784955 a^{2} + 151493389 a - 317004232\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a^{2}-4\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(117805a^{2}+178851a-374248\right){x}+99784955a^{2}+151493389a-317004232$ |
| 50.2-e4 |
50.2-e |
$4$ |
$6$ |
3.3.733.1 |
$3$ |
$[3, 0]$ |
50.2 |
\( 2 \cdot 5^{2} \) |
\( 2^{36} \cdot 5^{6} \) |
$4.64357$ |
$(a^2-6), (-a+3)$ |
$1$ |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2, 3$ |
2B, 3B |
$1$ |
\( 2^{2} \) |
$1.331648171$ |
$15.69548872$ |
2.315973615 |
\( \frac{2936145822907481}{68719476736} a^{2} - \frac{2650603679005985}{68719476736} a - \frac{11963566012280679}{68719476736} \) |
\( \bigl[a + 1\) , \( -a - 1\) , \( a^{2} - 4\) , \( -1085990 a^{2} - 1648749 a + 3450057\) , \( -3082214757 a^{2} - 4679414435 a + 9791807953\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a^{2}-4\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-1085990a^{2}-1648749a+3450057\right){x}-3082214757a^{2}-4679414435a+9791807953$ |
| 50.2-f1 |
50.2-f |
$6$ |
$8$ |
3.3.733.1 |
$3$ |
$[3, 0]$ |
50.2 |
\( 2 \cdot 5^{2} \) |
\( 2 \cdot 5^{6} \) |
$4.64357$ |
$(a^2-6), (-a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2 \) |
$1$ |
$210.8740687$ |
3.894405722 |
\( \frac{49479}{2} a^{2} - \frac{194047}{2} a + \frac{159977}{2} \) |
\( \bigl[a^{2} - 5\) , \( a^{2} - 5\) , \( a^{2} + a - 5\) , \( -258 a^{2} - 394 a + 818\) , \( 4548 a^{2} + 6904 a - 14449\bigr] \) |
${y}^2+\left(a^{2}-5\right){x}{y}+\left(a^{2}+a-5\right){y}={x}^{3}+\left(a^{2}-5\right){x}^{2}+\left(-258a^{2}-394a+818\right){x}+4548a^{2}+6904a-14449$ |
| 50.2-f2 |
50.2-f |
$6$ |
$8$ |
3.3.733.1 |
$3$ |
$[3, 0]$ |
50.2 |
\( 2 \cdot 5^{2} \) |
\( 2^{8} \cdot 5^{6} \) |
$4.64357$ |
$(a^2-6), (-a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$1$ |
\( 2^{4} \) |
$1$ |
$26.35925859$ |
3.894405722 |
\( \frac{333491649913}{256} a^{2} - \frac{1232712023873}{256} a + \frac{989435030713}{256} \) |
\( \bigl[a^{2} - 5\) , \( -a - 1\) , \( a^{2} - 5\) , \( 441628835114726406296924186 a^{2} + 670480323056184908477304336 a - 1402999168359094830977240970\) , \( 26810950416757885742210274767040315545450 a^{2} + 40704350050424852441195462385810090507104 a - 85175011563401238687317491316234299358871\bigr] \) |
${y}^2+\left(a^{2}-5\right){x}{y}+\left(a^{2}-5\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(441628835114726406296924186a^{2}+670480323056184908477304336a-1402999168359094830977240970\right){x}+26810950416757885742210274767040315545450a^{2}+40704350050424852441195462385810090507104a-85175011563401238687317491316234299358871$ |
| 50.2-f3 |
50.2-f |
$6$ |
$8$ |
3.3.733.1 |
$3$ |
$[3, 0]$ |
50.2 |
\( 2 \cdot 5^{2} \) |
\( 2^{4} \cdot 5^{6} \) |
$4.64357$ |
$(a^2-6), (-a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{4} \) |
$1$ |
$105.4370343$ |
3.894405722 |
\( -\frac{1494139287}{16} a^{2} - \frac{266719409}{16} a + \frac{10146617913}{16} \) |
\( \bigl[1\) , \( -a + 1\) , \( 1\) , \( -7740429869163610016 a^{2} - 11751510559590955497 a + 24590370477863559860\) , \( 19680578595356447217577587270 a^{2} + 29879028825459992749221495373 a - 62522718642087515259755834219\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-7740429869163610016a^{2}-11751510559590955497a+24590370477863559860\right){x}+19680578595356447217577587270a^{2}+29879028825459992749221495373a-62522718642087515259755834219$ |
| 50.2-f4 |
50.2-f |
$6$ |
$8$ |
3.3.733.1 |
$3$ |
$[3, 0]$ |
50.2 |
\( 2 \cdot 5^{2} \) |
\( - 2^{2} \cdot 5^{6} \) |
$4.64357$ |
$(a^2-6), (-a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2^{2} \) |
$1$ |
$26.35925859$ |
3.894405722 |
\( -\frac{181142138460569645}{4} a^{2} - \frac{32278456715968139}{4} a + \frac{1229964682609035911}{4} \) |
\( \bigl[1\) , \( -a + 1\) , \( 1\) , \( -29536239227733795051 a^{2} - 44841879978537109382 a + 93832910756836507680\) , \( -142309740288908754264404174212 a^{2} - 216054462608090711628571981567 a + 452100115299015591863821852949\bigr] \) |
${y}^2+{x}{y}+{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-29536239227733795051a^{2}-44841879978537109382a+93832910756836507680\right){x}-142309740288908754264404174212a^{2}-216054462608090711628571981567a+452100115299015591863821852949$ |
| 50.2-f5 |
50.2-f |
$6$ |
$8$ |
3.3.733.1 |
$3$ |
$[3, 0]$ |
50.2 |
\( 2 \cdot 5^{2} \) |
\( 2^{2} \cdot 5^{6} \) |
$4.64357$ |
$(a^2-6), (-a+3)$ |
0 |
$\Z/2\Z\oplus\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2Cs |
$1$ |
\( 2^{3} \) |
$1$ |
$210.8740687$ |
3.894405722 |
\( \frac{38239925}{4} a^{2} + \frac{58077475}{4} a - \frac{121417863}{4} \) |
\( \bigl[a + 1\) , \( a^{2} - 6\) , \( a^{2} + a - 4\) , \( -179117827763 a^{2} - 271936453135 a + 569034771759\) , \( 77128139875864374 a^{2} + 117095841640997417 a - 245026383014167679\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a^{2}+a-4\right){y}={x}^{3}+\left(a^{2}-6\right){x}^{2}+\left(-179117827763a^{2}-271936453135a+569034771759\right){x}+77128139875864374a^{2}+117095841640997417a-245026383014167679$ |
| 50.2-f6 |
50.2-f |
$6$ |
$8$ |
3.3.733.1 |
$3$ |
$[3, 0]$ |
50.2 |
\( 2 \cdot 5^{2} \) |
\( - 2 \cdot 5^{6} \) |
$4.64357$ |
$(a^2-6), (-a+3)$ |
0 |
$\Z/2\Z$ |
$\textsf{no}$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
$2$ |
2B |
$4$ |
\( 2 \) |
$1$ |
$52.71851719$ |
3.894405722 |
\( \frac{1278354816368585}{2} a^{2} + \frac{1940796619489295}{2} a - \frac{4061172191721673}{2} \) |
\( \bigl[a + 1\) , \( a^{2} - 6\) , \( a^{2} + a - 4\) , \( -2865874952308 a^{2} - 4350967625025 a + 9104523652009\) , \( 4936248025201452696 a^{2} + 7494205331413066679 a - 15681838058361251233\bigr] \) |
${y}^2+\left(a+1\right){x}{y}+\left(a^{2}+a-4\right){y}={x}^{3}+\left(a^{2}-6\right){x}^{2}+\left(-2865874952308a^{2}-4350967625025a+9104523652009\right){x}+4936248025201452696a^{2}+7494205331413066679a-15681838058361251233$ |
*The rank, regulator and analytic order of Ш are
not known for all curves in the database; curves for which these are
unknown will not appear in searches specifying one of these
quantities.
