| 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.a4 |
33a4 |
33.a |
33a |
$4$ |
$4$ |
\( 3 \cdot 11 \) |
\( - 3^{12} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$-0.012632$ |
$9090072503/5845851$ |
$1.03763$ |
$6.55810$ |
$[1, 1, 0, 44, 55]$ |
\(y^2+xy=x^3+x^2+44x+55\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 22.6.0.a.1, 24.24.0-24.ba.1.16, 44.24.0-44.g.1.1, $\ldots$ |
$[]$ |
| 99.b4 |
99b4 |
99.b |
99b |
$4$ |
$4$ |
\( 3^{2} \cdot 11 \) |
\( - 3^{18} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48$ |
$0.536674$ |
$9090072503/5845851$ |
$1.03763$ |
$6.42467$ |
$[1, -1, 1, 391, -1092]$ |
\(y^2+xy+y=x^3-x^2+391x-1092\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 22.6.0.a.1, $\ldots$ |
$[]$ |
| 363.b4 |
363a4 |
363.b |
363a |
$4$ |
$4$ |
\( 3 \cdot 11^{2} \) |
\( - 3^{12} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$720$ |
$1.186316$ |
$9090072503/5845851$ |
$1.03763$ |
$6.33106$ |
$[1, 1, 1, 5261, -46804]$ |
\(y^2+xy+y=x^3+x^2+5261x-46804\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 22.6.0.a.1, 24.24.0-24.ba.1.1, 44.24.0-44.g.1.1, $\ldots$ |
$[]$ |
| 528.g4 |
528h4 |
528.g |
528h |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \) |
\( - 2^{12} \cdot 3^{12} \cdot 11 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$0.966388507$ |
$1$ |
|
$13$ |
$384$ |
$0.680515$ |
$9090072503/5845851$ |
$1.03763$ |
$4.98448$ |
$[0, 1, 0, 696, -2124]$ |
\(y^2=x^3+x^2+696x-2124\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 22.6.0.a.1, 24.24.0-24.ba.1.8, 44.24.0-44.g.1.2, $\ldots$ |
$[(6, 48)]$ |
| 825.a4 |
825b4 |
825.a |
825b |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 11 \) |
\( - 3^{12} \cdot 5^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$0.213608727$ |
$1$ |
|
$12$ |
$768$ |
$0.792087$ |
$9090072503/5845851$ |
$1.03763$ |
$4.85260$ |
$[1, 0, 0, 1087, 4692]$ |
\(y^2+xy=x^3+1087x+4692\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 22.6.0.a.1, 24.12.0.ba.1, $\ldots$ |
$[(7, 109)]$ |
| 1089.j4 |
1089g4 |
1089.j |
1089g |
$4$ |
$4$ |
\( 3^{2} \cdot 11^{2} \) |
\( - 3^{18} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$264$ |
$48$ |
$0$ |
$2.957701004$ |
$1$ |
|
$0$ |
$5760$ |
$1.735622$ |
$9090072503/5845851$ |
$1.03763$ |
$6.27905$ |
$[1, -1, 0, 47349, 1311052]$ |
\(y^2+xy=x^3-x^2+47349x+1311052\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.1, 22.6.0.a.1, $\ldots$ |
$[(419/2, 21361/2)]$ |
| 1584.o4 |
1584q4 |
1584.o |
1584q |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \) |
\( - 2^{12} \cdot 3^{18} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$1.229822$ |
$9090072503/5845851$ |
$1.03763$ |
$5.13591$ |
$[0, 0, 0, 6261, 63610]$ |
\(y^2=x^3+6261x+63610\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 22.6.0.a.1, $\ldots$ |
$[]$ |
| 1617.j4 |
1617j4 |
1617.j |
1617j |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 11 \) |
\( - 3^{12} \cdot 7^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1728$ |
$0.960323$ |
$9090072503/5845851$ |
$1.03763$ |
$4.68386$ |
$[1, 0, 1, 2130, -12449]$ |
\(y^2+xy+y=x^3+2130x-12449\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 28.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 2112.j4 |
2112v4 |
2112.j |
2112v |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( - 2^{18} \cdot 3^{12} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$5.612491456$ |
$1$ |
|
$1$ |
$3072$ |
$1.027088$ |
$9090072503/5845851$ |
$1.03763$ |
$4.62512$ |
$[0, -1, 0, 2783, -19775]$ |
\(y^2=x^3-x^2+2783x-19775\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 22.6.0.a.1, 24.24.0-24.ba.1.14, $\ldots$ |
$[(163/3, 5140/3)]$ |
| 2112.bb4 |
2112l4 |
2112.bb |
2112l |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( - 2^{18} \cdot 3^{12} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$1.027088$ |
$9090072503/5845851$ |
$1.03763$ |
$4.62512$ |
$[0, 1, 0, 2783, 19775]$ |
\(y^2=x^3+x^2+2783x+19775\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 22.6.0.a.1, 24.24.0-24.ba.1.6, $\ldots$ |
$[]$ |
| 2475.g4 |
2475g4 |
2475.g |
2475g |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 11 \) |
\( - 3^{18} \cdot 5^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6144$ |
$1.341393$ |
$9090072503/5845851$ |
$1.03763$ |
$5.01392$ |
$[1, -1, 0, 9783, -126684]$ |
\(y^2+xy=x^3-x^2+9783x-126684\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 40.12.0-4.c.1.5, $\ldots$ |
$[]$ |
| 4851.b4 |
4851j4 |
4851.b |
4851j |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 3^{18} \cdot 7^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$3.039211695$ |
$1$ |
|
$4$ |
$13824$ |
$1.509628$ |
$9090072503/5845851$ |
$1.03763$ |
$4.85423$ |
$[1, -1, 1, 19174, 336116]$ |
\(y^2+xy+y=x^3-x^2+19174x+336116\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[(-5, 492)]$ |
| 5577.a4 |
5577d4 |
5577.a |
5577d |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 13^{2} \) |
\( - 3^{12} \cdot 11 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$4.738005818$ |
$1$ |
|
$0$ |
$13824$ |
$1.269842$ |
$9090072503/5845851$ |
$1.03763$ |
$4.44219$ |
$[1, 1, 1, 7348, 83936]$ |
\(y^2+xy+y=x^3+x^2+7348x+83936\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[(955/3, 37424/3)]$ |
| 5808.t4 |
5808bg4 |
5808.t |
5808bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{12} \cdot 11^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$46080$ |
$1.879463$ |
$9090072503/5845851$ |
$1.03763$ |
$5.26545$ |
$[0, 1, 0, 84176, 3163796]$ |
\(y^2=x^3+x^2+84176x+3163796\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 22.6.0.a.1, 24.24.0-24.ba.1.9, 44.24.0-44.g.1.2, $\ldots$ |
$[]$ |
| 6336.n4 |
6336cc4 |
6336.n |
6336cc |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( - 2^{18} \cdot 3^{18} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$264$ |
$48$ |
$0$ |
$4.965802205$ |
$1$ |
|
$3$ |
$24576$ |
$1.576395$ |
$9090072503/5845851$ |
$1.03763$ |
$4.79766$ |
$[0, 0, 0, 25044, 508880]$ |
\(y^2=x^3+25044x+508880\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 22.6.0.a.1, 24.24.0-24.ba.1.10, $\ldots$ |
$[(176, 3220)]$ |
| 6336.x4 |
6336bd4 |
6336.x |
6336bd |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
\( - 2^{18} \cdot 3^{18} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$264$ |
$48$ |
$0$ |
$7.387036831$ |
$1$ |
|
$3$ |
$24576$ |
$1.576395$ |
$9090072503/5845851$ |
$1.03763$ |
$4.79766$ |
$[0, 0, 0, 25044, -508880]$ |
\(y^2=x^3+25044x-508880\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 22.6.0.a.1, 24.24.0-24.ba.1.2, $\ldots$ |
$[(3156, 177520)]$ |
| 9075.q4 |
9075k4 |
9075.q |
9075k |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{12} \cdot 5^{6} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1.536762106$ |
$1$ |
|
$4$ |
$92160$ |
$1.991035$ |
$9090072503/5845851$ |
$1.03763$ |
$5.15451$ |
$[1, 0, 1, 131524, -6113527]$ |
\(y^2+xy+y=x^3+131524x-6113527\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 22.6.0.a.1, 24.12.0.ba.1, $\ldots$ |
$[(147, 3976)]$ |
| 9537.m4 |
9537j4 |
9537.m |
9537j |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 17^{2} \) |
\( - 3^{12} \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30720$ |
$1.403975$ |
$9090072503/5845851$ |
$1.03763$ |
$4.35774$ |
$[1, 0, 1, 12565, 181901]$ |
\(y^2+xy+y=x^3+12565x+181901\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[]$ |
| 11913.d4 |
11913i4 |
11913.d |
11913i |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 19^{2} \) |
\( - 3^{12} \cdot 11 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5016$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$43200$ |
$1.459587$ |
$9090072503/5845851$ |
$1.03763$ |
$4.32556$ |
$[1, 0, 0, 15696, -251181]$ |
\(y^2+xy=x^3+15696x-251181\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[]$ |
| 13200.bi4 |
13200bm4 |
13200.bi |
13200bm |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{12} \cdot 3^{12} \cdot 5^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.485233$ |
$9090072503/5845851$ |
$1.03763$ |
$4.31123$ |
$[0, -1, 0, 17392, -300288]$ |
\(y^2=x^3-x^2+17392x-300288\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 22.6.0.a.1, 24.12.0.ba.1, $\ldots$ |
$[]$ |
| 16731.k4 |
16731k4 |
16731.k |
16731k |
$4$ |
$4$ |
\( 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{18} \cdot 11 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$8.432941188$ |
$1$ |
|
$0$ |
$110592$ |
$1.819149$ |
$9090072503/5845851$ |
$1.03763$ |
$4.61817$ |
$[1, -1, 0, 66132, -2200145]$ |
\(y^2+xy=x^3-x^2+66132x-2200145\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[(50937/8, 11848487/8)]$ |
| 17424.by4 |
17424bw4 |
17424.by |
17424bw |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{18} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$368640$ |
$2.428768$ |
$9090072503/5845851$ |
$1.03763$ |
$5.34808$ |
$[0, 0, 0, 757581, -84664910]$ |
\(y^2=x^3+757581x-84664910\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.2, 22.6.0.a.1, $\ldots$ |
$[]$ |
| 17457.c4 |
17457a4 |
17457.c |
17457a |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 23^{2} \) |
\( - 3^{12} \cdot 11 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6072$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$67584$ |
$1.555115$ |
$9090072503/5845851$ |
$1.03763$ |
$4.27371$ |
$[1, 1, 0, 23001, -438300]$ |
\(y^2+xy=x^3+x^2+23001x-438300\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[]$ |
| 17787.o4 |
17787u4 |
17787.o |
17787u |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{12} \cdot 7^{6} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$207360$ |
$2.159271$ |
$9090072503/5845851$ |
$1.03763$ |
$5.00635$ |
$[1, 0, 0, 257788, 16827075]$ |
\(y^2+xy=x^3+257788x+16827075\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 28.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 23232.bs4 |
23232db3 |
23232.bs |
23232db |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \) |
\( - 2^{18} \cdot 3^{12} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$18.69408198$ |
$1$ |
|
$1$ |
$368640$ |
$2.226036$ |
$9090072503/5845851$ |
$1.03763$ |
$4.95305$ |
$[0, -1, 0, 336703, 24973665]$ |
\(y^2=x^3-x^2+336703x+24973665\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 22.6.0.a.1, 24.24.0-24.ba.1.3, $\ldots$ |
$[(220825123/357, 3467198979980/357)]$ |
| 23232.dj4 |
23232ca3 |
23232.dj |
23232ca |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \) |
\( - 2^{18} \cdot 3^{12} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1.818439634$ |
$1$ |
|
$5$ |
$368640$ |
$2.226036$ |
$9090072503/5845851$ |
$1.03763$ |
$4.95305$ |
$[0, 1, 0, 336703, -24973665]$ |
\(y^2=x^3+x^2+336703x-24973665\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 22.6.0.a.1, 24.24.0-24.ba.1.11, $\ldots$ |
$[(205, 7260)]$ |
| 25872.be4 |
25872bk3 |
25872.be |
25872bk |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 3^{12} \cdot 7^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$4.597348744$ |
$1$ |
|
$3$ |
$110592$ |
$1.653471$ |
$9090072503/5845851$ |
$1.03763$ |
$4.22439$ |
$[0, -1, 0, 34088, 796720]$ |
\(y^2=x^3-x^2+34088x+796720\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 28.12.0-4.c.1.2, $\ldots$ |
$[(2, 930)]$ |
| 27225.r4 |
27225bo3 |
27225.r |
27225bo |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 3^{18} \cdot 5^{6} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$2.146444646$ |
$1$ |
|
$2$ |
$737280$ |
$2.540340$ |
$9090072503/5845851$ |
$1.03763$ |
$5.24547$ |
$[1, -1, 1, 1183720, 165065222]$ |
\(y^2+xy+y=x^3-x^2+1183720x+165065222\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 40.12.0-4.c.1.3, $\ldots$ |
$[(1884, 94345)]$ |
| 27753.c4 |
27753d3 |
27753.c |
27753d |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 29^{2} \) |
\( - 3^{12} \cdot 11 \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7656$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$145152$ |
$1.671017$ |
$9090072503/5845851$ |
$1.03763$ |
$4.21599$ |
$[1, 0, 0, 36566, 900839]$ |
\(y^2+xy=x^3+36566x+900839\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[]$ |
| 28611.g4 |
28611u3 |
28611.g |
28611u |
$4$ |
$4$ |
\( 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 3^{18} \cdot 11 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$4.874355014$ |
$1$ |
|
$0$ |
$245760$ |
$1.953281$ |
$9090072503/5845851$ |
$1.03763$ |
$4.53357$ |
$[1, -1, 1, 113089, -4911334]$ |
\(y^2+xy+y=x^3-x^2+113089x-4911334\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[(1327/2, 65139/2)]$ |
| 31713.h4 |
31713e3 |
31713.h |
31713e |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 31^{2} \) |
\( - 3^{12} \cdot 11 \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8184$ |
$48$ |
$0$ |
$2.703497492$ |
$1$ |
|
$2$ |
$172800$ |
$1.704361$ |
$9090072503/5845851$ |
$1.03763$ |
$4.20034$ |
$[1, 0, 1, 41783, -1093165]$ |
\(y^2+xy+y=x^3+41783x-1093165\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[(1165, 39779)]$ |
| 35739.t4 |
35739q3 |
35739.t |
35739q |
$4$ |
$4$ |
\( 3^{2} \cdot 11 \cdot 19^{2} \) |
\( - 3^{18} \cdot 11 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5016$ |
$48$ |
$0$ |
$23.14028637$ |
$1$ |
|
$0$ |
$345600$ |
$2.008892$ |
$9090072503/5845851$ |
$1.03763$ |
$4.50103$ |
$[1, -1, 0, 141264, 6781887]$ |
\(y^2+xy=x^3-x^2+141264x+6781887\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[(16028394571/22630, 38660870745204491/22630)]$ |
| 39600.fb4 |
39600ed3 |
39600.fb |
39600ed |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( - 2^{12} \cdot 3^{18} \cdot 5^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$2.034542$ |
$9090072503/5845851$ |
$1.03763$ |
$4.48648$ |
$[0, 0, 0, 156525, 7951250]$ |
\(y^2=x^3+156525x+7951250\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 40.12.0-4.c.1.5, $\ldots$ |
$[]$ |
| 40425.p4 |
40425y3 |
40425.p |
40425y |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 11 \) |
\( - 3^{12} \cdot 5^{6} \cdot 7^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$2.612691916$ |
$1$ |
|
$4$ |
$221184$ |
$1.765041$ |
$9090072503/5845851$ |
$1.03763$ |
$4.17288$ |
$[1, 1, 1, 53262, -1556094]$ |
\(y^2+xy+y=x^3+x^2+53262x-1556094\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[(211, 4268)]$ |
| 45177.c4 |
45177a3 |
45177.c |
45177a |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 37^{2} \) |
\( - 3^{12} \cdot 11 \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9768$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$304128$ |
$1.792828$ |
$9090072503/5845851$ |
$1.03763$ |
$4.16071$ |
$[1, 1, 1, 59523, 1889406]$ |
\(y^2+xy+y=x^3+x^2+59523x+1889406\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[]$ |
| 52371.a4 |
52371e3 |
52371.a |
52371e |
$4$ |
$4$ |
\( 3^{2} \cdot 11 \cdot 23^{2} \) |
\( - 3^{18} \cdot 11 \cdot 23^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6072$ |
$48$ |
$0$ |
$6.618108692$ |
$1$ |
|
$8$ |
$540672$ |
$2.104420$ |
$9090072503/5845851$ |
$1.03763$ |
$4.44824$ |
$[1, -1, 1, 207004, 12041106]$ |
\(y^2+xy+y=x^3-x^2+207004x+12041106\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[(374, 11715), (75, 5252)]$ |
| 52800.d4 |
52800v3 |
52800.d |
52800v |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{18} \cdot 3^{12} \cdot 5^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$3.448149579$ |
$1$ |
|
$5$ |
$393216$ |
$1.831808$ |
$9090072503/5845851$ |
$1.03763$ |
$4.14407$ |
$[0, -1, 0, 69567, 2332737]$ |
\(y^2=x^3-x^2+69567x+2332737\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 40.12.0-4.c.1.1, $\ldots$ |
$[(67, 2700)]$ |
| 52800.hs4 |
52800hf3 |
52800.hs |
52800hf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{18} \cdot 3^{12} \cdot 5^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$1.831808$ |
$9090072503/5845851$ |
$1.03763$ |
$4.14407$ |
$[0, 1, 0, 69567, -2332737]$ |
\(y^2=x^3+x^2+69567x-2332737\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 40.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 53361.bm4 |
53361bj3 |
53361.bm |
53361bj |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{18} \cdot 7^{6} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1658880$ |
$2.708576$ |
$9090072503/5845851$ |
$1.03763$ |
$5.10664$ |
$[1, -1, 0, 2320092, -454331025]$ |
\(y^2+xy=x^3-x^2+2320092x-454331025\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[]$ |
| 55473.n4 |
55473l3 |
55473.n |
55473l |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 41^{2} \) |
\( - 3^{12} \cdot 11 \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10824$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$422400$ |
$1.844154$ |
$9090072503/5845851$ |
$1.03763$ |
$4.13890$ |
$[1, 0, 1, 73088, 2543165]$ |
\(y^2+xy+y=x^3+73088x+2543165\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[]$ |
| 61017.a4 |
61017a3 |
61017.a |
61017a |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 43^{2} \) |
\( - 3^{12} \cdot 11 \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$11352$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$487872$ |
$1.867968$ |
$9090072503/5845851$ |
$1.03763$ |
$4.12905$ |
$[1, 0, 0, 80393, -2920060]$ |
\(y^2+xy=x^3+80393x-2920060\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[]$ |
| 61347.w4 |
61347j3 |
61347.w |
61347j |
$4$ |
$4$ |
\( 3 \cdot 11^{2} \cdot 13^{2} \) |
\( - 3^{12} \cdot 11^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1658880$ |
$2.468792$ |
$9090072503/5845851$ |
$1.03763$ |
$4.78103$ |
$[1, 1, 0, 889106, -107273525]$ |
\(y^2+xy=x^3+x^2+889106x-107273525\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[]$ |
| 69696.bd4 |
69696cw3 |
69696.bd |
69696cw |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{18} \cdot 3^{18} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$264$ |
$48$ |
$0$ |
$7.504444621$ |
$1$ |
|
$3$ |
$2949120$ |
$2.775341$ |
$9090072503/5845851$ |
$1.03763$ |
$5.05619$ |
$[0, 0, 0, 3030324, 677319280]$ |
\(y^2=x^3+3030324x+677319280\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 22.6.0.a.1, 24.24.0-24.ba.1.15, $\ldots$ |
$[(2484, 153400)]$ |
| 69696.cb4 |
69696gp3 |
69696.cb |
69696gp |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{18} \cdot 3^{18} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2949120$ |
$2.775341$ |
$9090072503/5845851$ |
$1.03763$ |
$5.05619$ |
$[0, 0, 0, 3030324, -677319280]$ |
\(y^2=x^3+3030324x-677319280\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 22.6.0.a.1, 24.24.0-24.ba.1.7, $\ldots$ |
$[]$ |
| 72897.a4 |
72897a3 |
72897.a |
72897a |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 47^{2} \) |
\( - 3^{12} \cdot 11 \cdot 47^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$12408$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$618240$ |
$1.912441$ |
$9090072503/5845851$ |
$1.03763$ |
$4.11111$ |
$[1, 1, 0, 96046, -3781845]$ |
\(y^2+xy=x^3+x^2+96046x-3781845\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[]$ |
| 77616.bz4 |
77616gn3 |
77616.bz |
77616gn |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 3^{18} \cdot 7^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$4.742179490$ |
$1$ |
|
$3$ |
$884736$ |
$2.202778$ |
$9090072503/5845851$ |
$1.03763$ |
$4.39764$ |
$[0, 0, 0, 306789, -21818230]$ |
\(y^2=x^3+306789x-21818230\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[(1295, 50470)]$ |
| 83259.m4 |
83259l3 |
83259.m |
83259l |
$4$ |
$4$ |
\( 3^{2} \cdot 11 \cdot 29^{2} \) |
\( - 3^{18} \cdot 11 \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7656$ |
$48$ |
$0$ |
$35.20490459$ |
$1$ |
|
$0$ |
$1161216$ |
$2.220322$ |
$9090072503/5845851$ |
$1.03763$ |
$4.38898$ |
$[1, -1, 0, 329094, -24322653]$ |
\(y^2+xy=x^3-x^2+329094x-24322653\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[(54426284225127571/2731630, 12661174953393166585144491/2731630)]$ |
| 89232.cs4 |
89232co3 |
89232.cs |
89232co |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{12} \cdot 11 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$884736$ |
$1.962990$ |
$9090072503/5845851$ |
$1.03763$ |
$4.09141$ |
$[0, 1, 0, 117568, -5136780]$ |
\(y^2=x^3+x^2+117568x-5136780\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[]$ |
| 92697.c4 |
92697e3 |
92697.c |
92697e |
$4$ |
$4$ |
\( 3 \cdot 11 \cdot 53^{2} \) |
\( - 3^{12} \cdot 11 \cdot 53^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$13992$ |
$48$ |
$0$ |
$2.893418538$ |
$1$ |
|
$2$ |
$898560$ |
$1.972513$ |
$9090072503/5845851$ |
$1.03763$ |
$4.08777$ |
$[1, 0, 0, 122133, 5490540]$ |
\(y^2+xy=x^3+122133x+5490540\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[(5799, 439518)]$ |
| 95139.c4 |
95139j3 |
95139.c |
95139j |
$4$ |
$4$ |
\( 3^{2} \cdot 11 \cdot 31^{2} \) |
\( - 3^{18} \cdot 11 \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8184$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1382400$ |
$2.253666$ |
$9090072503/5845851$ |
$1.03763$ |
$4.37282$ |
$[1, -1, 1, 376051, 29515448]$ |
\(y^2+xy+y=x^3-x^2+376051x+29515448\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[]$ |
