| 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 |
| 2233.a3 |
2233a2 |
2233.a |
2233a |
$4$ |
$4$ |
\( 7 \cdot 11 \cdot 29 \) |
\( 7^{6} \cdot 11^{4} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$812$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2688$ |
$1.040949$ |
$5249244962308257/1448621666569$ |
$0.97197$ |
$4.69412$ |
$[1, -1, 1, -3621, 61556]$ |
\(y^2+xy+y=x^3-x^2-3621x+61556\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.b.1.1, 116.24.0.?, 812.48.0.? |
$[]$ |
| 15631.a3 |
15631c2 |
15631.a |
15631c |
$4$ |
$4$ |
\( 7^{2} \cdot 11 \cdot 29 \) |
\( 7^{12} \cdot 11^{4} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$812$ |
$48$ |
$0$ |
$12.89938745$ |
$1$ |
|
$2$ |
$129024$ |
$2.013905$ |
$5249244962308257/1448621666569$ |
$0.97197$ |
$4.95726$ |
$[1, -1, 1, -177414, -20758972]$ |
\(y^2+xy+y=x^3-x^2-177414x-20758972\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.b.1.1, 116.24.0.?, 812.48.0.? |
$[(-1140079/88, 1049727765/88)]$ |
| 20097.l3 |
20097h2 |
20097.l |
20097h |
$4$ |
$4$ |
\( 3^{2} \cdot 7 \cdot 11 \cdot 29 \) |
\( 3^{6} \cdot 7^{6} \cdot 11^{4} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2436$ |
$48$ |
$0$ |
$4.836237793$ |
$1$ |
|
$2$ |
$86016$ |
$1.590256$ |
$5249244962308257/1448621666569$ |
$0.97197$ |
$4.31844$ |
$[1, -1, 0, -32586, -1629433]$ |
\(y^2+xy=x^3-x^2-32586x-1629433\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0.b.1, 84.24.0.?, 116.12.0.?, $\ldots$ |
$[(1891/2, 73349/2)]$ |
| 24563.g3 |
24563g2 |
24563.g |
24563g |
$4$ |
$4$ |
\( 7 \cdot 11^{2} \cdot 29 \) |
\( 7^{6} \cdot 11^{10} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$8932$ |
$48$ |
$0$ |
$7.690320464$ |
$1$ |
|
$2$ |
$322560$ |
$2.239895$ |
$5249244962308257/1448621666569$ |
$0.97197$ |
$5.00388$ |
$[1, -1, 0, -438103, -80617080]$ |
\(y^2+xy=x^3-x^2-438103x-80617080\) |
2.6.0.a.1, 28.12.0.b.1, 44.12.0-2.a.1.1, 116.12.0.?, 308.24.0.?, $\ldots$ |
$[(-29815/8, 2532265/8)]$ |
| 35728.m3 |
35728y2 |
35728.m |
35728y |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 11 \cdot 29 \) |
\( 2^{12} \cdot 7^{6} \cdot 11^{4} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$812$ |
$48$ |
$0$ |
$1.401279030$ |
$1$ |
|
$11$ |
$172032$ |
$1.734097$ |
$5249244962308257/1448621666569$ |
$0.97197$ |
$4.24608$ |
$[0, 0, 0, -57931, -3881670]$ |
\(y^2=x^3-57931x-3881670\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.b.1.2, 116.24.0.?, 812.48.0.? |
$[(-137, 1218)]$ |
| 55825.t3 |
55825l2 |
55825.t |
55825l |
$4$ |
$4$ |
\( 5^{2} \cdot 7 \cdot 11 \cdot 29 \) |
\( 5^{6} \cdot 7^{6} \cdot 11^{4} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4060$ |
$48$ |
$0$ |
$2.368749594$ |
$1$ |
|
$4$ |
$344064$ |
$1.845669$ |
$5249244962308257/1448621666569$ |
$0.97197$ |
$4.19520$ |
$[1, -1, 0, -90517, 7604016]$ |
\(y^2+xy=x^3-x^2-90517x+7604016\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0.b.1, 116.12.0.?, 140.24.0.?, $\ldots$ |
$[(644, 14378)]$ |
| 64757.h3 |
64757e2 |
64757.h |
64757e |
$4$ |
$4$ |
\( 7 \cdot 11 \cdot 29^{2} \) |
\( 7^{6} \cdot 11^{4} \cdot 29^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$812$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$2$ |
$2257920$ |
$2.724598$ |
$5249244962308257/1448621666569$ |
$0.97197$ |
$5.09105$ |
$[1, -1, 0, -3044998, 1479980775]$ |
\(y^2+xy=x^3-x^2-3044998x+1479980775\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.b.1.3, 116.24.0.?, 812.48.0.? |
$[]$ |
| 140679.z3 |
140679y2 |
140679.z |
140679y |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 3^{6} \cdot 7^{12} \cdot 11^{4} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2436$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$4128768$ |
$2.563210$ |
$5249244962308257/1448621666569$ |
$0.97197$ |
$4.59448$ |
$[1, -1, 0, -1596723, 562088960]$ |
\(y^2+xy=x^3-x^2-1596723x+562088960\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0.b.1, 84.24.0.?, 116.12.0.?, $\ldots$ |
$[]$ |
| 142912.bk3 |
142912bz2 |
142912.bk |
142912bz |
$4$ |
$4$ |
\( 2^{6} \cdot 7 \cdot 11 \cdot 29 \) |
\( 2^{18} \cdot 7^{6} \cdot 11^{4} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1624$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1376256$ |
$2.080669$ |
$5249244962308257/1448621666569$ |
$0.97197$ |
$4.10055$ |
$[0, 0, 0, -231724, 31053360]$ |
\(y^2=x^3-231724x+31053360\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0.b.1, 56.24.0-28.b.1.1, 116.12.0.?, $\ldots$ |
$[]$ |
| 142912.bm3 |
142912p2 |
142912.bm |
142912p |
$4$ |
$4$ |
\( 2^{6} \cdot 7 \cdot 11 \cdot 29 \) |
\( 2^{18} \cdot 7^{6} \cdot 11^{4} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1624$ |
$48$ |
$0$ |
$4.534872400$ |
$1$ |
|
$5$ |
$1376256$ |
$2.080669$ |
$5249244962308257/1448621666569$ |
$0.97197$ |
$4.10055$ |
$[0, 0, 0, -231724, -31053360]$ |
\(y^2=x^3-231724x-31053360\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0.b.1, 56.24.0-28.b.1.2, 116.12.0.?, $\ldots$ |
$[(1788, 72600)]$ |
| 171941.q3 |
171941q2 |
171941.q |
171941q |
$4$ |
$4$ |
\( 7^{2} \cdot 11^{2} \cdot 29 \) |
\( 7^{12} \cdot 11^{10} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$8932$ |
$48$ |
$0$ |
$47.93849976$ |
$1$ |
|
$2$ |
$15482880$ |
$3.212852$ |
$5249244962308257/1448621666569$ |
$0.97197$ |
$5.16468$ |
$[1, -1, 0, -21467056, 27694592547]$ |
\(y^2+xy=x^3-x^2-21467056x+27694592547\) |
2.6.0.a.1, 28.12.0.b.1, 44.12.0-2.a.1.1, 116.12.0.?, 308.24.0.?, $\ldots$ |
$[(66079249192743258914619/4058771290, 5093765053351062897977127115802073/4058771290)]$ |
| 221067.l3 |
221067g2 |
221067.l |
221067g |
$4$ |
$4$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 3^{6} \cdot 7^{6} \cdot 11^{10} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$26796$ |
$48$ |
$0$ |
$3.168754100$ |
$1$ |
|
$4$ |
$10321920$ |
$2.789204$ |
$5249244962308257/1448621666569$ |
$0.97197$ |
$4.64610$ |
$[1, -1, 1, -3942929, 2180604088]$ |
\(y^2+xy+y=x^3-x^2-3942929x+2180604088\) |
2.6.0.a.1, 28.12.0.b.1, 116.12.0.?, 132.12.0.?, 812.24.0.?, $\ldots$ |
$[(217, 36431)]$ |
| 250096.bl3 |
250096bl2 |
250096.bl |
250096bl |
$4$ |
$4$ |
\( 2^{4} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 2^{12} \cdot 7^{12} \cdot 11^{4} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$812$ |
$48$ |
$0$ |
$5.245874643$ |
$1$ |
|
$5$ |
$8257536$ |
$2.707050$ |
$5249244962308257/1448621666569$ |
$0.97197$ |
$4.52067$ |
$[0, 0, 0, -2838619, 1331412810]$ |
\(y^2=x^3-2838619x+1331412810\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.b.1.2, 116.24.0.?, 812.48.0.? |
$[(4893, 323400)]$ |
| 321552.er3 |
321552er2 |
321552.er |
321552er |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \cdot 29 \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{6} \cdot 11^{4} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2436$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$5505024$ |
$2.283401$ |
$5249244962308257/1448621666569$ |
$0.97197$ |
$4.03017$ |
$[0, 0, 0, -521379, 104805090]$ |
\(y^2=x^3-521379x+104805090\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0.b.1, 84.24.0.?, 116.12.0.?, $\ldots$ |
$[]$ |
| 377377.j3 |
377377j2 |
377377.j |
377377j |
$4$ |
$4$ |
\( 7 \cdot 11 \cdot 13^{2} \cdot 29 \) |
\( 7^{6} \cdot 11^{4} \cdot 13^{6} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$10556$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$5160960$ |
$2.323425$ |
$5249244962308257/1448621666569$ |
$0.97197$ |
$4.01733$ |
$[1, -1, 0, -611896, 133403427]$ |
\(y^2+xy=x^3-x^2-611896x+133403427\) |
2.6.0.a.1, 28.12.0.b.1, 52.12.0-2.a.1.1, 116.12.0.?, 364.24.0.?, $\ldots$ |
$[]$ |
| 390775.bm3 |
390775bm2 |
390775.bm |
390775bm |
$4$ |
$4$ |
\( 5^{2} \cdot 7^{2} \cdot 11 \cdot 29 \) |
\( 5^{6} \cdot 7^{12} \cdot 11^{4} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4060$ |
$48$ |
$0$ |
$23.51682153$ |
$1$ |
|
$2$ |
$16515072$ |
$2.818623$ |
$5249244962308257/1448621666569$ |
$0.97197$ |
$4.46796$ |
$[1, -1, 0, -4435342, -2599306809]$ |
\(y^2+xy=x^3-x^2-4435342x-2599306809\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0.b.1, 116.12.0.?, 140.24.0.?, $\ldots$ |
$[(918651622885/6532, 873140496820828573/6532)]$ |
| 393008.ba3 |
393008ba2 |
393008.ba |
393008ba |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( 2^{12} \cdot 7^{6} \cdot 11^{10} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$8932$ |
$48$ |
$0$ |
$4.691925629$ |
$1$ |
|
$7$ |
$20643840$ |
$2.933044$ |
$5249244962308257/1448621666569$ |
$0.97197$ |
$4.57257$ |
$[0, 0, 0, -7009651, 5166502770]$ |
\(y^2=x^3-7009651x+5166502770\) |
2.6.0.a.1, 28.12.0.b.1, 44.12.0-2.a.1.1, 116.12.0.?, 308.24.0.?, $\ldots$ |
$[(-2273, 96726)]$ |
| 453299.q3 |
453299q2 |
453299.q |
453299q |
$4$ |
$4$ |
\( 7^{2} \cdot 11 \cdot 29^{2} \) |
\( 7^{12} \cdot 11^{4} \cdot 29^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$812$ |
$48$ |
$0$ |
$31.12285328$ |
$1$ |
|
$2$ |
$108380160$ |
$3.697552$ |
$5249244962308257/1448621666569$ |
$0.97197$ |
$5.22685$ |
$[1, -1, 0, -149204911, -507334996008]$ |
\(y^2+xy=x^3-x^2-149204911x-507334996008\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 28.24.0-28.b.1.4, 116.24.0.?, 812.48.0.? |
$[(3640804203195864/474695, 121081308245691586652172/474695)]$ |
