| 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 |
| 33.a1 |
33a3 |
33.a |
33a |
$4$ |
$4$ |
\( 3 \cdot 11 \) |
\( 3^{3} \cdot 11^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$6$ |
$-0.012632$ |
$347873904937/395307$ |
$1.00913$ |
$7.60047$ |
$[1, 1, 0, -146, 621]$ |
\(y^2+xy=x^3+x^2-146x+621\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 88.24.0.?, 264.48.0.? |
$[]$ |
| 99.b1 |
99b3 |
99.b |
99b |
$4$ |
$4$ |
\( 3^{2} \cdot 11 \) |
\( 3^{9} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48$ |
$0.536674$ |
$347873904937/395307$ |
$1.00913$ |
$7.21783$ |
$[1, -1, 1, -1319, -18084]$ |
\(y^2+xy+y=x^3-x^2-1319x-18084\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 88.24.0.?, 264.48.0.? |
$[]$ |
| 363.b1 |
363a3 |
363.b |
363a |
$4$ |
$4$ |
\( 3 \cdot 11^{2} \) |
\( 3^{3} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$720$ |
$1.186316$ |
$347873904937/395307$ |
$1.00913$ |
$6.94939$ |
$[1, 1, 1, -17729, -915100]$ |
\(y^2+xy+y=x^3+x^2-17729x-915100\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0.h.1, 24.24.0-12.h.1.6, $\ldots$ |
$[]$ |
| 528.g1 |
528h3 |
528.g |
528h |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \) |
\( 2^{12} \cdot 3^{3} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$0.966388507$ |
$1$ |
|
$7$ |
$384$ |
$0.680515$ |
$347873904937/395307$ |
$1.00913$ |
$5.56585$ |
$[0, 1, 0, -2344, -44428]$ |
\(y^2=x^3+x^2-2344x-44428\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 88.24.0.?, 264.48.0.? |
$[(-28, 6)]$ |
| 825.a1 |
825b3 |
825.a |
825b |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 11 \) |
\( 3^{3} \cdot 5^{6} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$0.213608727$ |
$1$ |
|
$10$ |
$768$ |
$0.792087$ |
$347873904937/395307$ |
$1.00913$ |
$5.39533$ |
$[1, 0, 0, -3663, 84942]$ |
\(y^2+xy=x^3-3663x+84942\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.2, 60.24.0-12.h.1.2, $\ldots$ |
$[(33, 0)]$ |
| 1089.j1 |
1089g3 |
1089.j |
1089g |
$4$ |
$4$ |
\( 3^{2} \cdot 11^{2} \) |
\( 3^{9} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$264$ |
$48$ |
$0$ |
$2.957701004$ |
$1$ |
|
$2$ |
$5760$ |
$1.735622$ |
$347873904937/395307$ |
$1.00913$ |
$6.80024$ |
$[1, -1, 0, -159561, 24548134]$ |
\(y^2+xy=x^3-x^2-159561x+24548134\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0.h.1, 24.24.0-12.h.1.4, $\ldots$ |
$[(-382, 5636)]$ |
| 1584.o1 |
1584q3 |
1584.o |
1584q |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( 2^{12} \cdot 3^{9} \cdot 11^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3072$ |
$1.229822$ |
$347873904937/395307$ |
$1.00913$ |
$5.63059$ |
$[0, 0, 0, -21099, 1178458]$ |
\(y^2=x^3-21099x+1178458\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 88.24.0.?, 264.48.0.? |
$[]$ |
| 1617.j1 |
1617j3 |
1617.j |
1617j |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 11 \) |
\( 3^{3} \cdot 7^{6} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1728$ |
$0.960323$ |
$347873904937/395307$ |
$1.00913$ |
$5.17716$ |
$[1, 0, 1, -7180, -234517]$ |
\(y^2+xy+y=x^3-7180x-234517\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.2, 84.24.0.?, $\ldots$ |
$[]$ |
| 2112.j1 |
2112v3 |
2112.j |
2112v |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{18} \cdot 3^{3} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1.403122864$ |
$1$ |
|
$3$ |
$3072$ |
$1.027088$ |
$347873904937/395307$ |
$1.00913$ |
$5.10121$ |
$[0, -1, 0, -9377, -346047]$ |
\(y^2=x^3-x^2-9377x-346047\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$ |
$[(141, 1056)]$ |
| 2112.bb1 |
2112l3 |
2112.bb |
2112l |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{18} \cdot 3^{3} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$1.027088$ |
$347873904937/395307$ |
$1.00913$ |
$5.10121$ |
$[0, 1, 0, -9377, 346047]$ |
\(y^2=x^3+x^2-9377x+346047\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0.h.1, 24.24.0-12.h.1.1, $\ldots$ |
$[]$ |
| 2475.g1 |
2475g3 |
2475.g |
2475g |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 3^{9} \cdot 5^{6} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6144$ |
$1.341393$ |
$347873904937/395307$ |
$1.00913$ |
$5.48035$ |
$[1, -1, 0, -32967, -2293434]$ |
\(y^2+xy=x^3-x^2-32967x-2293434\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.1, 60.24.0-12.h.1.1, $\ldots$ |
$[]$ |
| 4851.b1 |
4851j3 |
4851.b |
4851j |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{9} \cdot 7^{6} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$0.759802923$ |
$1$ |
|
$8$ |
$13824$ |
$1.509628$ |
$347873904937/395307$ |
$1.00913$ |
$5.28368$ |
$[1, -1, 1, -64616, 6331952]$ |
\(y^2+xy+y=x^3-x^2-64616x+6331952\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.1, 84.24.0.?, $\ldots$ |
$[(60, 1603)]$ |
| 5577.a1 |
5577d3 |
5577.a |
5577d |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 13^{2} \) |
\( 3^{3} \cdot 11^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$1.184501454$ |
$1$ |
|
$6$ |
$13824$ |
$1.269842$ |
$347873904937/395307$ |
$1.00913$ |
$4.86469$ |
$[1, 1, 1, -24762, 1487988]$ |
\(y^2+xy+y=x^3+x^2-24762x+1487988\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 52.12.0-4.c.1.2, 88.12.0.?, $\ldots$ |
$[(96, 36)]$ |
| 5808.t1 |
5808bg3 |
5808.t |
5808bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$1.879463$ |
$347873904937/395307$ |
$1.00913$ |
$5.68597$ |
$[0, 1, 0, -283664, 57999060]$ |
\(y^2=x^3+x^2-283664x+57999060\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0.h.1, 24.24.0-12.h.1.6, $\ldots$ |
$[]$ |
| 6336.n1 |
6336cc3 |
6336.n |
6336cc |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{18} \cdot 3^{9} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1.241450551$ |
$1$ |
|
$7$ |
$24576$ |
$1.576395$ |
$347873904937/395307$ |
$1.00913$ |
$5.21401$ |
$[0, 0, 0, -84396, 9427664]$ |
\(y^2=x^3-84396x+9427664\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0.h.1, 24.24.0-12.h.1.1, $\ldots$ |
$[(154, 288)]$ |
| 6336.x1 |
6336bd3 |
6336.x |
6336bd |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( 2^{18} \cdot 3^{9} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1.846759207$ |
$1$ |
|
$3$ |
$24576$ |
$1.576395$ |
$347873904937/395307$ |
$1.00913$ |
$5.21401$ |
$[0, 0, 0, -84396, -9427664]$ |
\(y^2=x^3-84396x-9427664\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$ |
$[(356, 2376)]$ |
| 9075.q1 |
9075k3 |
9075.q |
9075k |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{3} \cdot 5^{6} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$6.147048426$ |
$1$ |
|
$0$ |
$92160$ |
$1.991035$ |
$347873904937/395307$ |
$1.00913$ |
$5.55443$ |
$[1, 0, 1, -443226, -113501027]$ |
\(y^2+xy+y=x^3-443226x-113501027\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.5, 88.12.0.?, $\ldots$ |
$[(3323/2, 73323/2)]$ |
| 9537.m1 |
9537j3 |
9537.m |
9537j |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 17^{2} \) |
\( 3^{3} \cdot 11^{4} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30720$ |
$1.403975$ |
$347873904937/395307$ |
$1.00913$ |
$4.75551$ |
$[1, 0, 1, -42345, 3347029]$ |
\(y^2+xy+y=x^3-42345x+3347029\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 68.12.0-4.c.1.2, 88.12.0.?, $\ldots$ |
$[]$ |
| 11913.d1 |
11913i3 |
11913.d |
11913i |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 19^{2} \) |
\( 3^{3} \cdot 11^{4} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5016$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$43200$ |
$1.459587$ |
$347873904937/395307$ |
$1.00913$ |
$4.71390$ |
$[1, 0, 0, -52894, -4682095]$ |
\(y^2+xy=x^3-52894x-4682095\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 76.12.0.?, 88.12.0.?, $\ldots$ |
$[]$ |
| 13200.bi1 |
13200bm3 |
13200.bi |
13200bm |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{6} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$49152$ |
$1.485233$ |
$347873904937/395307$ |
$1.00913$ |
$4.69537$ |
$[0, -1, 0, -58608, -5436288]$ |
\(y^2=x^3-x^2-58608x-5436288\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.1, 60.24.0-12.h.1.1, $\ldots$ |
$[]$ |
| 16731.k1 |
16731k3 |
16731.k |
16731k |
$4$ |
$4$ |
\( 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 3^{9} \cdot 11^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$2.108235297$ |
$1$ |
|
$4$ |
$110592$ |
$1.819149$ |
$347873904937/395307$ |
$1.00913$ |
$4.99294$ |
$[1, -1, 0, -222858, -40398539]$ |
\(y^2+xy=x^3-x^2-222858x-40398539\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 52.12.0-4.c.1.1, 88.12.0.?, $\ldots$ |
$[(-276, 307)]$ |
| 17424.by1 |
17424bw3 |
17424.by |
17424bw |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{9} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$368640$ |
$2.428768$ |
$347873904937/395307$ |
$1.00913$ |
$5.72130$ |
$[0, 0, 0, -2552979, -1568527598]$ |
\(y^2=x^3-2552979x-1568527598\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0.h.1, 24.24.0-12.h.1.4, $\ldots$ |
$[]$ |
| 17457.c1 |
17457a3 |
17457.c |
17457a |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 23^{2} \) |
\( 3^{3} \cdot 11^{4} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6072$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$67584$ |
$1.555115$ |
$347873904937/395307$ |
$1.00913$ |
$4.64685$ |
$[1, 1, 0, -77509, -8329922]$ |
\(y^2+xy=x^3+x^2-77509x-8329922\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 92.12.0.?, $\ldots$ |
$[]$ |
| 17787.o1 |
17787u3 |
17787.o |
17787u |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{3} \cdot 7^{6} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$207360$ |
$2.159271$ |
$347873904937/395307$ |
$1.00913$ |
$5.37878$ |
$[1, 0, 0, -868722, 311273073]$ |
\(y^2+xy=x^3-868722x+311273073\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 56.12.0-4.c.1.5, 88.12.0.?, $\ldots$ |
$[]$ |
| 23232.bs1 |
23232db4 |
23232.bs |
23232db |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \) |
\( 2^{18} \cdot 3^{3} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$264$ |
$48$ |
$0$ |
$4.673520496$ |
$1$ |
|
$3$ |
$368640$ |
$2.226036$ |
$347873904937/395307$ |
$1.00913$ |
$5.31559$ |
$[0, -1, 0, -1134657, 465127137]$ |
\(y^2=x^3-x^2-1134657x+465127137\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0.h.1, 24.24.0-12.h.1.3, $\ldots$ |
$[(53, 20128)]$ |
| 23232.dj1 |
23232ca4 |
23232.dj |
23232ca |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \) |
\( 2^{18} \cdot 3^{3} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$264$ |
$48$ |
$0$ |
$7.273758536$ |
$1$ |
|
$1$ |
$368640$ |
$2.226036$ |
$347873904937/395307$ |
$1.00913$ |
$5.31559$ |
$[0, 1, 0, -1134657, -465127137]$ |
\(y^2=x^3+x^2-1134657x-465127137\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0.h.1, 24.24.0-12.h.1.3, $\ldots$ |
$[(-14991/5, 10248/5)]$ |
| 25872.be1 |
25872bk4 |
25872.be |
25872bk |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2^{12} \cdot 3^{3} \cdot 7^{6} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$4.597348744$ |
$1$ |
|
$3$ |
$110592$ |
$1.653471$ |
$347873904937/395307$ |
$1.00913$ |
$4.58308$ |
$[0, -1, 0, -114872, 15009072]$ |
\(y^2=x^3-x^2-114872x+15009072\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.1, 84.24.0.?, $\ldots$ |
$[(1426, 52430)]$ |
| 27225.r1 |
27225bo4 |
27225.r |
27225bo |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 3^{9} \cdot 5^{6} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$2.146444646$ |
$1$ |
|
$6$ |
$737280$ |
$2.540340$ |
$347873904937/395307$ |
$1.00913$ |
$5.60237$ |
$[1, -1, 1, -3989030, 3064527722]$ |
\(y^2+xy+y=x^3-x^2-3989030x+3064527722\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.3, 88.12.0.?, $\ldots$ |
$[(1114, 955)]$ |
| 27753.c1 |
27753d4 |
27753.c |
27753d |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 29^{2} \) |
\( 3^{3} \cdot 11^{4} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7656$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$145152$ |
$1.671017$ |
$347873904937/395307$ |
$1.00913$ |
$4.57222$ |
$[1, 0, 0, -123224, 16622493]$ |
\(y^2+xy=x^3-123224x+16622493\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 116.12.0.?, $\ldots$ |
$[]$ |
| 28611.g1 |
28611u4 |
28611.g |
28611u |
$4$ |
$4$ |
\( 3^{2} \cdot 11 \cdot 17^{2} \) |
\( 3^{9} \cdot 11^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$1.218588753$ |
$1$ |
|
$4$ |
$245760$ |
$1.953281$ |
$347873904937/395307$ |
$1.00913$ |
$4.88874$ |
$[1, -1, 1, -381101, -90369790]$ |
\(y^2+xy+y=x^3-x^2-381101x-90369790\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 68.12.0-4.c.1.1, 88.12.0.?, $\ldots$ |
$[(-357, 475)]$ |
| 31713.h1 |
31713e4 |
31713.h |
31713e |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 31^{2} \) |
\( 3^{3} \cdot 11^{4} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8184$ |
$48$ |
$0$ |
$10.81398996$ |
$1$ |
|
$0$ |
$172800$ |
$1.704361$ |
$347873904937/395307$ |
$1.00913$ |
$4.55199$ |
$[1, 0, 1, -140807, -20328541]$ |
\(y^2+xy+y=x^3-140807x-20328541\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 124.12.0.?, $\ldots$ |
$[(2143779/70, 392493793/70)]$ |
| 35739.t1 |
35739q4 |
35739.t |
35739q |
$4$ |
$4$ |
\( 3^{2} \cdot 11 \cdot 19^{2} \) |
\( 3^{9} \cdot 11^{4} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5016$ |
$48$ |
$0$ |
$5.785071594$ |
$1$ |
|
$0$ |
$345600$ |
$2.008892$ |
$347873904937/395307$ |
$1.00913$ |
$4.84867$ |
$[1, -1, 0, -476046, 126416565]$ |
\(y^2+xy=x^3-x^2-476046x+126416565\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 76.12.0.?, 88.12.0.?, $\ldots$ |
$[(4692/7, 3083961/7)]$ |
| 39600.fb1 |
39600ed4 |
39600.fb |
39600ed |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( 2^{12} \cdot 3^{9} \cdot 5^{6} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$2.034542$ |
$347873904937/395307$ |
$1.00913$ |
$4.83075$ |
$[0, 0, 0, -527475, 147307250]$ |
\(y^2=x^3-527475x+147307250\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.2, 60.24.0-12.h.1.2, $\ldots$ |
$[]$ |
| 40425.p1 |
40425y4 |
40425.p |
40425y |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( 3^{3} \cdot 5^{6} \cdot 7^{6} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$2.612691916$ |
$1$ |
|
$4$ |
$221184$ |
$1.765041$ |
$347873904937/395307$ |
$1.00913$ |
$4.51648$ |
$[1, 1, 1, -179488, -29314594]$ |
\(y^2+xy+y=x^3+x^2-179488x-29314594\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 140.12.0.?, $\ldots$ |
$[(-239, 70)]$ |
| 45177.c1 |
45177a4 |
45177.c |
45177a |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 37^{2} \) |
\( 3^{3} \cdot 11^{4} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9768$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$304128$ |
$1.792828$ |
$347873904937/395307$ |
$1.00913$ |
$4.50075$ |
$[1, 1, 1, -200587, 34460654]$ |
\(y^2+xy+y=x^3+x^2-200587x+34460654\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 148.12.0.?, $\ldots$ |
$[]$ |
| 52371.a1 |
52371e4 |
52371.a |
52371e |
$4$ |
$4$ |
\( 3^{2} \cdot 11 \cdot 23^{2} \) |
\( 3^{9} \cdot 11^{4} \cdot 23^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6072$ |
$48$ |
$0$ |
$1.654527173$ |
$1$ |
|
$18$ |
$540672$ |
$2.104420$ |
$347873904937/395307$ |
$1.00913$ |
$4.78366$ |
$[1, -1, 1, -697586, 224210310]$ |
\(y^2+xy+y=x^3-x^2-697586x+224210310\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 92.12.0.?, $\ldots$ |
$[(558, 2630), (29, 14268)]$ |
| 52800.d1 |
52800v4 |
52800.d |
52800v |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{6} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$3.448149579$ |
$1$ |
|
$5$ |
$393216$ |
$1.831808$ |
$347873904937/395307$ |
$1.00913$ |
$4.47923$ |
$[0, -1, 0, -234433, 43724737]$ |
\(y^2=x^3-x^2-234433x+43724737\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.2, 88.12.0.?, $\ldots$ |
$[(312, 925)]$ |
| 52800.hs1 |
52800hf4 |
52800.hs |
52800hf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{6} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$1.831808$ |
$347873904937/395307$ |
$1.00913$ |
$4.47923$ |
$[0, 1, 0, -234433, -43724737]$ |
\(y^2=x^3+x^2-234433x-43724737\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.1, 88.12.0.?, $\ldots$ |
$[]$ |
| 53361.bm1 |
53361bj4 |
53361.bm |
53361bj |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{9} \cdot 7^{6} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1658880$ |
$2.708576$ |
$347873904937/395307$ |
$1.00913$ |
$5.44148$ |
$[1, -1, 0, -7818498, -8404372971]$ |
\(y^2+xy=x^3-x^2-7818498x-8404372971\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 56.12.0-4.c.1.3, 88.12.0.?, $\ldots$ |
$[]$ |
| 55473.n1 |
55473l4 |
55473.n |
55473l |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( 3^{3} \cdot 11^{4} \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10824$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$422400$ |
$1.844154$ |
$347873904937/395307$ |
$1.00913$ |
$4.47255$ |
$[1, 0, 1, -246302, 46982081]$ |
\(y^2+xy+y=x^3-246302x+46982081\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 164.12.0.?, $\ldots$ |
$[]$ |
| 61017.a1 |
61017a4 |
61017.a |
61017a |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 43^{2} \) |
\( 3^{3} \cdot 11^{4} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$11352$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$487872$ |
$1.867968$ |
$347873904937/395307$ |
$1.00913$ |
$4.45982$ |
$[1, 0, 0, -270917, -54244602]$ |
\(y^2+xy=x^3-270917x-54244602\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 172.12.0.?, $\ldots$ |
$[]$ |
| 61347.w1 |
61347j4 |
61347.w |
61347j |
$4$ |
$4$ |
\( 3 \cdot 11^{2} \cdot 13^{2} \) |
\( 3^{3} \cdot 11^{10} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1658880$ |
$2.468792$ |
$347873904937/395307$ |
$1.00913$ |
$5.11163$ |
$[1, 1, 0, -2996204, -1995493287]$ |
\(y^2+xy=x^3+x^2-2996204x-1995493287\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 104.12.0.?, $\ldots$ |
$[]$ |
| 69696.bd1 |
69696cw4 |
69696.bd |
69696cw |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{18} \cdot 3^{9} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$264$ |
$48$ |
$0$ |
$1.876111155$ |
$1$ |
|
$5$ |
$2949120$ |
$2.775341$ |
$347873904937/395307$ |
$1.00913$ |
$5.38301$ |
$[0, 0, 0, -10211916, 12548220784]$ |
\(y^2=x^3-10211916x+12548220784\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0.h.1, 24.24.0-12.h.1.5, $\ldots$ |
$[(2024, 13068)]$ |
| 69696.cb1 |
69696gp4 |
69696.cb |
69696gp |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{18} \cdot 3^{9} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2949120$ |
$2.775341$ |
$347873904937/395307$ |
$1.00913$ |
$5.38301$ |
$[0, 0, 0, -10211916, -12548220784]$ |
\(y^2=x^3-10211916x-12548220784\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0.h.1, 24.24.0-12.h.1.5, $\ldots$ |
$[]$ |
| 72897.a1 |
72897a4 |
72897.a |
72897a |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 47^{2} \) |
\( 3^{3} \cdot 11^{4} \cdot 47^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$12408$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$618240$ |
$1.912441$ |
$347873904937/395307$ |
$1.00913$ |
$4.43662$ |
$[1, 1, 0, -323664, -70939863]$ |
\(y^2+xy=x^3+x^2-323664x-70939863\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 188.12.0.?, $\ldots$ |
$[]$ |
| 77616.bz1 |
77616gn4 |
77616.bz |
77616gn |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{12} \cdot 3^{9} \cdot 7^{6} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$4.742179490$ |
$1$ |
|
$3$ |
$884736$ |
$2.202778$ |
$347873904937/395307$ |
$1.00913$ |
$4.72133$ |
$[0, 0, 0, -1033851, -404211094]$ |
\(y^2=x^3-1033851x-404211094\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 28.12.0-4.c.1.2, 84.24.0.?, $\ldots$ |
$[(-577, 470)]$ |
| 83259.m1 |
83259l4 |
83259.m |
83259l |
$4$ |
$4$ |
\( 3^{2} \cdot 11 \cdot 29^{2} \) |
\( 3^{9} \cdot 11^{4} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7656$ |
$48$ |
$0$ |
$8.801226149$ |
$1$ |
|
$0$ |
$1161216$ |
$2.220322$ |
$347873904937/395307$ |
$1.00913$ |
$4.71067$ |
$[1, -1, 0, -1109016, -448807311]$ |
\(y^2+xy=x^3-x^2-1109016x-448807311\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 116.12.0.?, $\ldots$ |
$[(-686685/34, -748083/34)]$ |
| 89232.cs1 |
89232co4 |
89232.cs |
89232co |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 11^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$884736$ |
$1.962990$ |
$347873904937/395307$ |
$1.00913$ |
$4.41114$ |
$[0, 1, 0, -396192, -96023628]$ |
\(y^2=x^3+x^2-396192x-96023628\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 52.12.0-4.c.1.1, 88.12.0.?, $\ldots$ |
$[]$ |
| 92697.c1 |
92697e4 |
92697.c |
92697e |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 53^{2} \) |
\( 3^{3} \cdot 11^{4} \cdot 53^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$13992$ |
$48$ |
$0$ |
$2.893418538$ |
$1$ |
|
$2$ |
$898560$ |
$1.972513$ |
$347873904937/395307$ |
$1.00913$ |
$4.40644$ |
$[1, 0, 0, -411577, 101496542]$ |
\(y^2+xy=x^3-411577x+101496542\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 212.12.0.?, $\ldots$ |
$[(311, 1742)]$ |
| 95139.c1 |
95139j4 |
95139.c |
95139j |
$4$ |
$4$ |
\( 3^{2} \cdot 11 \cdot 31^{2} \) |
\( 3^{9} \cdot 11^{4} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1382400$ |
$2.253666$ |
$347873904937/395307$ |
$1.00913$ |
$4.69077$ |
$[1, -1, 1, -1267259, 548870600]$ |
\(y^2+xy+y=x^3-x^2-1267259x+548870600\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 124.12.0.?, $\ldots$ |
$[]$ |
