| 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 |
| 51870.j1 |
51870j4 |
51870.j |
51870j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 7^{3} \cdot 13^{4} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$13832$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2359296$ |
$2.510372$ |
$297214339265273649756432169/488484917902800$ |
$0.98869$ |
$5.61475$ |
$[1, 1, 0, -13903218, -19959387228]$ |
\(y^2+xy=x^3+x^2-13903218x-19959387228\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 104.24.0.?, 266.6.0.?, 532.24.0.?, $\ldots$ |
$[]$ |
| 155610.eu1 |
155610a3 |
155610.eu |
155610a |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{14} \cdot 5^{2} \cdot 7^{3} \cdot 13^{4} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$41496$ |
$48$ |
$0$ |
$0.640513338$ |
$1$ |
|
$8$ |
$18874368$ |
$3.059677$ |
$297214339265273649756432169/488484917902800$ |
$0.98869$ |
$5.65015$ |
$[1, -1, 1, -125128967, 538778326191]$ |
\(y^2+xy+y=x^3-x^2-125128967x+538778326191\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 104.12.0.?, 266.6.0.?, $\ldots$ |
$[(6501, 2664)]$ |
| 259350.fy1 |
259350fy4 |
259350.fy |
259350fy |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 7^{3} \cdot 13^{4} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$69160$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$56623104$ |
$3.315090$ |
$297214339265273649756432169/488484917902800$ |
$0.98869$ |
$5.66449$ |
$[1, 0, 0, -347580463, -2494228242583]$ |
\(y^2+xy=x^3-347580463x-2494228242583\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 104.12.0.?, 266.6.0.?, $\ldots$ |
$[]$ |
| 363090.dy1 |
363090dy3 |
363090.dy |
363090dy |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 7^{9} \cdot 13^{4} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$13832$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$113246208$ |
$3.483326$ |
$297214339265273649756432169/488484917902800$ |
$0.98869$ |
$5.67331$ |
$[1, 0, 1, -681257708, 6844026046106]$ |
\(y^2+xy+y=x^3-681257708x+6844026046106\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 76.12.0.?, 104.12.0.?, $\ldots$ |
$[]$ |
| 414960.ei1 |
414960ei3 |
414960.ei |
414960ei |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{2} \cdot 7^{3} \cdot 13^{4} \cdot 19 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$13832$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$56623104$ |
$3.203518$ |
$297214339265273649756432169/488484917902800$ |
$0.98869$ |
$5.35518$ |
$[0, 1, 0, -222451496, 1276955879604]$ |
\(y^2=x^3+x^2-222451496x+1276955879604\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 104.24.0.?, 266.6.0.?, 532.24.0.?, $\ldots$ |
$[]$ |
