| Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
| 74256.a1 |
74256bl1 |
74256.a |
74256bl |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{13} \cdot 3^{13} \cdot 7 \cdot 13 \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$37128$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$763776$ |
$1.847239$ |
$-153509362902771121/1425589419618$ |
$0.93988$ |
$4.27152$ |
$[0, -1, 0, -178480, 29313856]$ |
\(y^2=x^3-x^2-178480x+29313856\) |
37128.2.0.? |
$[]$ |
| 74256.b1 |
74256bw1 |
74256.b |
74256bw |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{12} \cdot 3^{5} \cdot 7 \cdot 13 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$143360$ |
$0.941794$ |
$10418796526321/6390657$ |
$0.87866$ |
$3.41431$ |
$[0, -1, 0, -7280, -236544]$ |
\(y^2=x^3-x^2-7280x-236544\) |
2.3.0.a.1, 68.6.0.b.1, 546.6.0.?, 18564.12.0.? |
$[]$ |
| 74256.b2 |
74256bw2 |
74256.b |
74256bw |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{12} \cdot 3^{10} \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$286720$ |
$1.288368$ |
$-5602762882081/8312741073$ |
$0.89460$ |
$3.47231$ |
$[0, -1, 0, -5920, -329024]$ |
\(y^2=x^3-x^2-5920x-329024\) |
2.3.0.a.1, 68.6.0.a.1, 1092.6.0.?, 18564.12.0.? |
$[]$ |
| 74256.c1 |
74256bt2 |
74256.c |
74256bt |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{45} \cdot 3^{6} \cdot 7^{3} \cdot 13 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$37128$ |
$16$ |
$0$ |
$9.806622866$ |
$1$ |
|
$0$ |
$8895744$ |
$3.250210$ |
$-106237652098524394207033/137183418749137453056$ |
$1.00533$ |
$5.57371$ |
$[0, -1, 0, -15787192, 43406007664]$ |
\(y^2=x^3-x^2-15787192x+43406007664\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 12376.2.0.?, 37128.16.0.? |
$[(-120446/5, 10906758/5)]$ |
| 74256.c2 |
74256bt1 |
74256.c |
74256bt |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{23} \cdot 3^{18} \cdot 7 \cdot 13^{3} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$37128$ |
$16$ |
$0$ |
$3.268874288$ |
$1$ |
|
$0$ |
$2965248$ |
$2.700905$ |
$121394948260111009847/207438591806724096$ |
$0.98583$ |
$4.92477$ |
$[0, -1, 0, 1650488, -1141047824]$ |
\(y^2=x^3-x^2+1650488x-1141047824\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 12376.2.0.?, 37128.16.0.? |
$[(14554/5, 511758/5)]$ |
| 74256.d1 |
74256bs2 |
74256.d |
74256bs |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{3} \cdot 7 \cdot 13^{3} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$18564$ |
$16$ |
$0$ |
$1.221742439$ |
$1$ |
|
$2$ |
$155520$ |
$1.230339$ |
$523234893686948608/2040039729$ |
$0.93453$ |
$3.88501$ |
$[0, -1, 0, -42302, 3362931]$ |
\(y^2=x^3-x^2-42302x+3362931\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 9282.8.0.?, 18564.16.0.? |
$[(117, 39)]$ |
| 74256.d2 |
74256bs1 |
74256.d |
74256bs |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{9} \cdot 7^{3} \cdot 13 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$18564$ |
$16$ |
$0$ |
$3.665227317$ |
$1$ |
|
$2$ |
$51840$ |
$0.681034$ |
$2605053814528/1492030449$ |
$0.91347$ |
$2.79628$ |
$[0, -1, 0, -722, 999]$ |
\(y^2=x^3-x^2-722x+999\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 9282.8.0.?, 18564.16.0.? |
$[(-27, 9)]$ |
| 74256.e1 |
74256f1 |
74256.e |
74256f |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{3} \cdot 7^{5} \cdot 13 \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$53760$ |
$0.564463$ |
$5969949899008/100287369$ |
$0.85024$ |
$2.87022$ |
$[0, -1, 0, -952, -10829]$ |
\(y^2=x^3-x^2-952x-10829\) |
9282.2.0.? |
$[]$ |
| 74256.f1 |
74256h1 |
74256.f |
74256h |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3^{10} \cdot 7^{3} \cdot 13^{3} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$668160$ |
$1.758961$ |
$-472296424683977728/12859810439931$ |
$0.94574$ |
$4.12719$ |
$[0, -1, 0, -103017, -12988251]$ |
\(y^2=x^3-x^2-103017x-12988251\) |
182.2.0.? |
$[]$ |
| 74256.g1 |
74256ch1 |
74256.g |
74256ch |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{12} \cdot 3^{6} \cdot 7 \cdot 13 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1.013621594$ |
$1$ |
|
$2$ |
$165120$ |
$1.269930$ |
$-2731787761881088/19171971$ |
$0.92571$ |
$3.91087$ |
$[0, -1, 0, -46597, 3887149]$ |
\(y^2=x^3-x^2-46597x+3887149\) |
182.2.0.? |
$[(148, 459)]$ |
| 74256.h1 |
74256r1 |
74256.h |
74256r |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{5} \cdot 7 \cdot 13^{3} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9282$ |
$2$ |
$0$ |
$1.071110444$ |
$1$ |
|
$2$ |
$30720$ |
$0.418029$ |
$111052311808/63530649$ |
$0.88029$ |
$2.51495$ |
$[0, -1, 0, -252, -81]$ |
\(y^2=x^3-x^2-252x-81\) |
9282.2.0.? |
$[(-1, 13)]$ |
| 74256.i1 |
74256ci1 |
74256.i |
74256ci |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{17} \cdot 7^{3} \cdot 13 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9282$ |
$2$ |
$0$ |
$10.03797456$ |
$1$ |
|
$0$ |
$783360$ |
$1.951153$ |
$3226931868649120999168/9789211775889$ |
$0.97606$ |
$4.66314$ |
$[0, -1, 0, -775762, -262731881]$ |
\(y^2=x^3-x^2-775762x-262731881\) |
9282.2.0.? |
$[(-938643/43, 1273867/43)]$ |
| 74256.j1 |
74256g1 |
74256.j |
74256g |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{6} \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$1.118037934$ |
$1$ |
|
$21$ |
$325632$ |
$1.538008$ |
$895270814889482308/102626433$ |
$0.94160$ |
$4.30372$ |
$[0, -1, 0, -202384, 35111440]$ |
\(y^2=x^3-x^2-202384x+35111440\) |
2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.? |
$[(262, 54), (252, 224)]$ |
| 74256.j2 |
74256g2 |
74256.j |
74256g |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{11} \cdot 3^{12} \cdot 7^{4} \cdot 13 \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$4.472151738$ |
$1$ |
|
$13$ |
$651264$ |
$1.884581$ |
$-444193843852925714/4793893832637$ |
$0.94180$ |
$4.30468$ |
$[0, -1, 0, -201864, 35300304]$ |
\(y^2=x^3-x^2-201864x+35300304\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[(314, 1666), (265, 588)]$ |
| 74256.k1 |
74256br4 |
74256.k |
74256br |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{13} \cdot 3^{4} \cdot 7 \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$37128$ |
$48$ |
$0$ |
$1.670959020$ |
$1$ |
|
$5$ |
$258048$ |
$1.498106$ |
$496930471478093017/250614$ |
$0.94559$ |
$4.37484$ |
$[0, -1, 0, -264024, 52305264]$ |
\(y^2=x^3-x^2-264024x+52305264\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0-4.c.1.2, 168.24.0.?, $\ldots$ |
$[(298, 30)]$ |
| 74256.k2 |
74256br3 |
74256.k |
74256br |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{13} \cdot 3 \cdot 7 \cdot 13^{4} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$37128$ |
$48$ |
$0$ |
$1.670959020$ |
$1$ |
|
$7$ |
$258048$ |
$1.498106$ |
$211634149400857/100188617802$ |
$0.92211$ |
$3.68280$ |
$[0, -1, 0, -19864, 466288]$ |
\(y^2=x^3-x^2-19864x+466288\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0-4.c.1.1, 168.24.0.?, $\ldots$ |
$[(18, 338)]$ |
| 74256.k3 |
74256br2 |
74256.k |
74256br |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{14} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$37128$ |
$48$ |
$0$ |
$0.835479510$ |
$1$ |
|
$15$ |
$129024$ |
$1.151531$ |
$121382959848697/86155524$ |
$0.89684$ |
$3.63324$ |
$[0, -1, 0, -16504, 821104]$ |
\(y^2=x^3-x^2-16504x+821104\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 56.12.0-2.a.1.1, 168.24.0.?, 884.12.0.?, $\ldots$ |
$[(34, 546)]$ |
| 74256.k4 |
74256br1 |
74256.k |
74256br |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{16} \cdot 3 \cdot 7^{4} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$37128$ |
$48$ |
$0$ |
$1.670959020$ |
$1$ |
|
$5$ |
$64512$ |
$0.804958$ |
$-15124197817/25469808$ |
$0.84506$ |
$2.95319$ |
$[0, -1, 0, -824, 18288]$ |
\(y^2=x^3-x^2-824x+18288\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0-4.c.1.4, 168.24.0.?, $\ldots$ |
$[(13, 98)]$ |
| 74256.l1 |
74256k4 |
74256.l |
74256k |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3 \cdot 7^{4} \cdot 13^{12} \cdot 17 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$5304$ |
$48$ |
$0$ |
$10.53345180$ |
$1$ |
|
$3$ |
$3833856$ |
$2.820194$ |
$8123422741085742408868/2852873821332920931$ |
$0.99007$ |
$5.11628$ |
$[0, -1, 0, -4221224, 2094460704]$ |
\(y^2=x^3-x^2-4221224x+2094460704\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 104.24.0.?, 204.24.0.?, 5304.48.0.? |
$[(30001/4, 1774015/4)]$ |
| 74256.l2 |
74256k2 |
74256.l |
74256k |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{8} \cdot 13^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2652$ |
$48$ |
$0$ |
$5.266725901$ |
$1$ |
|
$7$ |
$1916928$ |
$2.473621$ |
$2404501925826853734352/72374368303373409$ |
$1.02272$ |
$4.88413$ |
$[0, -1, 0, -1772204, -883547616]$ |
\(y^2=x^3-x^2-1772204x-883547616\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.2, 204.24.0.?, 2652.48.0.? |
$[(-676, 2256)]$ |
| 74256.l3 |
74256k1 |
74256.l |
74256k |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{4} \cdot 7^{4} \cdot 13^{3} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$5304$ |
$48$ |
$0$ |
$2.633362950$ |
$1$ |
|
$3$ |
$958464$ |
$2.127048$ |
$37631270816324805425152/35686414979397$ |
$1.05255$ |
$4.88216$ |
$[0, -1, 0, -1759199, -897504582]$ |
\(y^2=x^3-x^2-1759199x-897504582\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 26.6.0.b.1, 52.24.0-52.g.1.1, 408.24.0.?, $\ldots$ |
$[(1682, 29988)]$ |
| 74256.l4 |
74256k3 |
74256.l |
74256k |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{10} \cdot 3 \cdot 7^{16} \cdot 13^{3} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$5304$ |
$48$ |
$0$ |
$10.53345180$ |
$1$ |
|
$3$ |
$3833856$ |
$2.820194$ |
$11122636847607806972/3723650171532083247$ |
$1.02355$ |
$5.09535$ |
$[0, -1, 0, 468736, -2968518192]$ |
\(y^2=x^3-x^2+468736x-2968518192\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 52.12.0-4.c.1.2, 104.24.0.?, $\ldots$ |
$[(36673, 7023868)]$ |
| 74256.m1 |
74256bq1 |
74256.m |
74256bq |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{26} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \cdot 17^{5} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$11.85240343$ |
$1$ |
|
$1$ |
$8386560$ |
$3.215195$ |
$245467607504992533120574297/1733763438231552$ |
$1.06926$ |
$6.15972$ |
$[0, -1, 0, -208710104, -1160479007760]$ |
\(y^2=x^3-x^2-208710104x-1160479007760\) |
2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.? |
$[(1306173/2, 1491309183/2)]$ |
| 74256.m2 |
74256bq2 |
74256.m |
74256bq |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{19} \cdot 3^{4} \cdot 7^{4} \cdot 13 \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$23.70480687$ |
$1$ |
|
$1$ |
$16773120$ |
$3.561768$ |
$-244998212735457942818233177/652408656229361356416$ |
$1.01662$ |
$6.15996$ |
$[0, -1, 0, -208576984, -1162033423376]$ |
\(y^2=x^3-x^2-208576984x-1162033423376\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[(134589339325/642, 49326794348019391/642)]$ |
| 74256.n1 |
74256by2 |
74256.n |
74256by |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{5} \cdot 7^{4} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$4.610325362$ |
$1$ |
|
$1$ |
$168960$ |
$1.202036$ |
$4754905936877392/1676231739$ |
$0.90296$ |
$3.71307$ |
$[0, -1, 0, -22244, -1269156]$ |
\(y^2=x^3-x^2-22244x-1269156\) |
2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 2652.12.0.? |
$[(-339/2, 87/2)]$ |
| 74256.n2 |
74256by1 |
74256.n |
74256by |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{10} \cdot 7^{2} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$2.305162681$ |
$1$ |
|
$3$ |
$84480$ |
$0.855462$ |
$27749087444992/10870507557$ |
$0.99343$ |
$3.00722$ |
$[0, -1, 0, -1589, -13332]$ |
\(y^2=x^3-x^2-1589x-13332\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[(-24, 102)]$ |
| 74256.o1 |
74256cc4 |
74256.o |
74256cc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{13} \cdot 3^{2} \cdot 7^{4} \cdot 13^{2} \cdot 17^{4} \) |
$2$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.49 |
2B |
$952$ |
$48$ |
$0$ |
$1.147765694$ |
$1$ |
|
$35$ |
$540672$ |
$1.864500$ |
$498513145416992497/610024187682$ |
$1.00135$ |
$4.37512$ |
$[0, -1, 0, -264304, 52333120]$ |
\(y^2=x^3-x^2-264304x+52333120\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.k.1.2, 952.48.0.? |
$[(16, 6936), (288, 136)]$ |
| 74256.o2 |
74256cc3 |
74256.o |
74256cc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{13} \cdot 3^{2} \cdot 7 \cdot 13^{8} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.101 |
2B |
$952$ |
$48$ |
$0$ |
$18.36425111$ |
$1$ |
|
$7$ |
$540672$ |
$1.864500$ |
$192013151632280497/1747295204382$ |
$0.94100$ |
$4.29005$ |
$[0, -1, 0, -192304, -32138432]$ |
\(y^2=x^3-x^2-192304x-32138432\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.5, 476.12.0.?, 952.48.0.? |
$[(-246, 470), (-262, 438)]$ |
| 74256.o3 |
74256cc2 |
74256.o |
74256cc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{14} \cdot 3^{4} \cdot 7^{2} \cdot 13^{4} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.2 |
2Cs |
$952$ |
$48$ |
$0$ |
$4.591062777$ |
$1$ |
|
$21$ |
$270336$ |
$1.517925$ |
$248063797363537/131042552004$ |
$0.97694$ |
$3.69696$ |
$[0, -1, 0, -20944, 351424]$ |
\(y^2=x^3-x^2-20944x+351424\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.1, 476.24.0.?, 952.48.0.? |
$[(-8, 720), (10, 378)]$ |
| 74256.o4 |
74256cc1 |
74256.o |
74256cc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{16} \cdot 3^{8} \cdot 7 \cdot 13^{2} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.60 |
2B |
$952$ |
$48$ |
$0$ |
$4.591062777$ |
$1$ |
|
$11$ |
$135168$ |
$1.171352$ |
$3325964415983/2111172336$ |
$0.95191$ |
$3.31250$ |
$[0, -1, 0, 4976, 40384]$ |
\(y^2=x^3-x^2+4976x+40384\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.3, 238.6.0.?, 476.24.0.?, $\ldots$ |
$[(24, 416), (570, 13702)]$ |
| 74256.p1 |
74256cb4 |
74256.p |
74256cb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{13} \cdot 3^{12} \cdot 7^{4} \cdot 13 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$37128$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$1.668510$ |
$3299497626614617/563987509722$ |
$0.92242$ |
$3.92771$ |
$[0, -1, 0, -49624, 3588208]$ |
\(y^2=x^3-x^2-49624x+3588208\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 168.24.0.?, 884.12.0.?, $\ldots$ |
$[]$ |
| 74256.p2 |
74256cb2 |
74256.p |
74256cb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{14} \cdot 3^{6} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$37128$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$184320$ |
$1.321938$ |
$78364289651257/6978597444$ |
$0.89583$ |
$3.59422$ |
$[0, -1, 0, -14264, -598416]$ |
\(y^2=x^3-x^2-14264x-598416\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 84.12.0.?, 168.24.0.?, 884.12.0.?, $\ldots$ |
$[]$ |
| 74256.p3 |
74256cb1 |
74256.p |
74256cb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{16} \cdot 3^{3} \cdot 7 \cdot 13 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$37128$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$92160$ |
$0.975364$ |
$73207745356537/668304$ |
$0.89325$ |
$3.58815$ |
$[0, -1, 0, -13944, -629136]$ |
\(y^2=x^3-x^2-13944x-629136\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[]$ |
| 74256.p4 |
74256cb3 |
74256.p |
74256cb |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{13} \cdot 3^{3} \cdot 7 \cdot 13^{4} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$37128$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$1.668510$ |
$110088190986983/901697560218$ |
$0.93616$ |
$3.85428$ |
$[0, -1, 0, 15976, -2824080]$ |
\(y^2=x^3-x^2+15976x-2824080\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[]$ |
| 74256.q1 |
74256q4 |
74256.q |
74256q |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{11} \cdot 3 \cdot 7 \cdot 13 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$37128$ |
$48$ |
$0$ |
$2.137405162$ |
$4$ |
$2$ |
$5$ |
$94208$ |
$1.032303$ |
$87473975988674/22801233$ |
$0.88953$ |
$3.54222$ |
$[0, -1, 0, -11744, -485856]$ |
\(y^2=x^3-x^2-11744x-485856\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.1, 136.12.0.?, 156.12.0.?, $\ldots$ |
$[(-62, 10)]$ |
| 74256.q2 |
74256q3 |
74256.q |
74256q |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{11} \cdot 3^{4} \cdot 7 \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$37128$ |
$48$ |
$0$ |
$0.534351290$ |
$1$ |
|
$9$ |
$94208$ |
$1.032303$ |
$9403894779554/275299479$ |
$0.87295$ |
$3.34337$ |
$[0, -1, 0, -5584, 158368]$ |
\(y^2=x^3-x^2-5584x+158368\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.2, 68.12.0-4.c.1.2, 312.12.0.?, $\ldots$ |
$[(36, 52)]$ |
| 74256.q3 |
74256q2 |
74256.q |
74256q |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$37128$ |
$48$ |
$0$ |
$1.068702581$ |
$1$ |
|
$13$ |
$47104$ |
$0.685729$ |
$60496791268/21538881$ |
$0.83145$ |
$2.83161$ |
$[0, -1, 0, -824, -5376]$ |
\(y^2=x^3-x^2-824x-5376\) |
2.6.0.a.1, 56.12.0-2.a.1.1, 68.12.0-2.a.1.1, 156.12.0.?, 952.24.0.?, $\ldots$ |
$[(-20, 52)]$ |
| 74256.q4 |
74256q1 |
74256.q |
74256q |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{8} \cdot 3 \cdot 7^{4} \cdot 13 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$37128$ |
$48$ |
$0$ |
$2.137405162$ |
$1$ |
|
$5$ |
$23552$ |
$0.339155$ |
$1629561008/1591863$ |
$0.77988$ |
$2.38574$ |
$[0, -1, 0, 156, -672]$ |
\(y^2=x^3-x^2+156x-672\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.4, 68.12.0-4.c.1.1, 156.12.0.?, $\ldots$ |
$[(8, 32)]$ |
| 74256.r1 |
74256t4 |
74256.r |
74256t |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{11} \cdot 3^{24} \cdot 7^{2} \cdot 13 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1768$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1179648$ |
$2.320671$ |
$14101721225455342754/3058429450552749$ |
$0.96299$ |
$4.61134$ |
$[0, -1, 0, -639184, 155740000]$ |
\(y^2=x^3-x^2-639184x+155740000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 68.12.0-4.c.1.2, 104.24.0.?, $\ldots$ |
$[]$ |
| 74256.r2 |
74256t2 |
74256.r |
74256t |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{10} \cdot 3^{12} \cdot 7^{4} \cdot 13^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1768$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$589824$ |
$1.974098$ |
$944450732945420068/62320619824281$ |
$1.06440$ |
$4.30849$ |
$[0, -1, 0, -206024, -33810816]$ |
\(y^2=x^3-x^2-206024x-33810816\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 68.24.0-68.b.1.2, 104.24.0.?, 1768.48.0.? |
$[]$ |
| 74256.r3 |
74256t1 |
74256.r |
74256t |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 13^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1768$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.627523$ |
$3594902683578163792/17343867177$ |
$0.94162$ |
$4.30406$ |
$[0, -1, 0, -202644, -35043840]$ |
\(y^2=x^3-x^2-202644x-35043840\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 34.6.0.a.1, 68.24.0-68.g.1.1, 104.24.0.?, $\ldots$ |
$[]$ |
| 74256.r4 |
74256t3 |
74256.r |
74256t |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{11} \cdot 3^{6} \cdot 7^{8} \cdot 13 \cdot 17^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1768$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1179648$ |
$2.320671$ |
$279866704577660926/4563004386330117$ |
$1.10190$ |
$4.55628$ |
$[0, -1, 0, 173056, -144502176]$ |
\(y^2=x^3-x^2+173056x-144502176\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 104.24.0.?, 136.24.0.?, 1768.48.0.? |
$[]$ |
| 74256.s1 |
74256bm1 |
74256.s |
74256bm |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{7} \cdot 7 \cdot 13 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9282$ |
$2$ |
$0$ |
$1.305098200$ |
$1$ |
|
$2$ |
$48384$ |
$0.691122$ |
$9359695554304/977770521$ |
$0.85701$ |
$2.91032$ |
$[0, -1, 0, -1106, -12453]$ |
\(y^2=x^3-x^2-1106x-12453\) |
9282.2.0.? |
$[(-23, 17)]$ |
| 74256.t1 |
74256bh1 |
74256.t |
74256bh |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{13} \cdot 3^{6} \cdot 7 \cdot 13^{3} \cdot 17^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12376$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1002240$ |
$2.112984$ |
$-4069400507818743889/31836860010774$ |
$0.95569$ |
$4.56353$ |
$[0, -1, 0, -532176, -150257088]$ |
\(y^2=x^3-x^2-532176x-150257088\) |
12376.2.0.? |
$[]$ |
| 74256.u1 |
74256c1 |
74256.u |
74256c |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3^{3} \cdot 7^{3} \cdot 13^{11} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9282$ |
$2$ |
$0$ |
$25.96845671$ |
$1$ |
|
$0$ |
$3497472$ |
$2.748943$ |
$196666942442792369200384/81542030871284915841$ |
$1.00411$ |
$5.02960$ |
$[0, -1, 0, -3052876, 1094260459]$ |
\(y^2=x^3-x^2-3052876x+1094260459\) |
9282.2.0.? |
$[(-73391767653/9053, 41371459874325689/9053)]$ |
| 74256.v1 |
74256bu1 |
74256.v |
74256bu |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3 \cdot 7^{13} \cdot 13 \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9282$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$504192$ |
$1.765337$ |
$30358311007079398144/64237413899841$ |
$0.95566$ |
$4.24708$ |
$[0, -1, 0, -163766, 25516419]$ |
\(y^2=x^3-x^2-163766x+25516419\) |
9282.2.0.? |
$[]$ |
| 74256.w1 |
74256o1 |
74256.w |
74256o |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{3} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9282$ |
$2$ |
$0$ |
$1.202408436$ |
$1$ |
|
$2$ |
$43776$ |
$0.539328$ |
$747027606784/226671081$ |
$0.83929$ |
$2.68491$ |
$[0, -1, 0, -476, -2601]$ |
\(y^2=x^3-x^2-476x-2601\) |
9282.2.0.? |
$[(-17, 17)]$ |
| 74256.x1 |
74256b1 |
74256.x |
74256b |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{7} \cdot 7 \cdot 13 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$8.314286473$ |
$1$ |
|
$1$ |
$322560$ |
$1.652878$ |
$92327927767234000/4803786569673$ |
$0.92271$ |
$3.97755$ |
$[0, -1, 0, -59788, 5387968]$ |
\(y^2=x^3-x^2-59788x+5387968\) |
2.3.0.a.1, 68.6.0.b.1, 546.6.0.?, 18564.12.0.? |
$[(4421/5, 70044/5)]$ |
| 74256.x2 |
74256b2 |
74256.x |
74256b |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( - 2^{10} \cdot 3^{14} \cdot 7^{2} \cdot 13^{2} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$4.157143236$ |
$1$ |
|
$3$ |
$645120$ |
$1.999451$ |
$6149598456393500/194592955777857$ |
$0.96777$ |
$4.21476$ |
$[0, -1, 0, 38472, 21266784]$ |
\(y^2=x^3-x^2+38472x+21266784\) |
2.3.0.a.1, 68.6.0.a.1, 1092.6.0.?, 18564.12.0.? |
$[(94, 5070)]$ |
| 74256.y1 |
74256a2 |
74256.y |
74256a |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.721793791$ |
$1$ |
|
$5$ |
$61440$ |
$0.896892$ |
$12973779250000/478825893$ |
$0.90367$ |
$3.18665$ |
$[0, -1, 0, -3108, -63504]$ |
\(y^2=x^3-x^2-3108x-63504\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[(-28, 28)]$ |
