| 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.d3 |
51870a2 |
51870.d |
51870a |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13^{4} \cdot 19^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.6.0.1 |
2Cs |
$15960$ |
$48$ |
$0$ |
$1.043950259$ |
$1$ |
|
$32$ |
$122880$ |
$1.186756$ |
$40061018056412809/7275103617600$ |
$0.89896$ |
$3.52132$ |
$[1, 1, 0, -7128, 188928]$ |
\(y^2+xy=x^3+x^2-7128x+188928\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 120.24.0.?, 532.12.0.?, $\ldots$ |
$[(8, 360), (-57, 672)]$ |
| 155610.ek3 |
155610x2 |
155610.ek |
155610x |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 13^{4} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$15960$ |
$48$ |
$0$ |
$0.879412637$ |
$1$ |
|
$14$ |
$983040$ |
$1.736063$ |
$40061018056412809/7275103617600$ |
$0.89896$ |
$3.74910$ |
$[1, -1, 1, -64157, -5165211]$ |
\(y^2+xy+y=x^3-x^2-64157x-5165211\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 120.24.0.?, 1596.24.0.?, 5320.24.0.?, $\ldots$ |
$[(339, 3288)]$ |
| 259350.gs3 |
259350gs2 |
259350.gs |
259350gs |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 13^{4} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$15960$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2949120$ |
$1.991476$ |
$40061018056412809/7275103617600$ |
$0.89896$ |
$3.84133$ |
$[1, 0, 0, -178213, 23972417]$ |
\(y^2+xy=x^3-178213x+23972417\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, 1596.12.0.?, $\ldots$ |
$[]$ |
| 363090.dt3 |
363090dt2 |
363090.dt |
363090dt |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7^{8} \cdot 13^{4} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$15960$ |
$48$ |
$0$ |
$5.036847678$ |
$1$ |
|
$4$ |
$5898240$ |
$2.159710$ |
$40061018056412809/7275103617600$ |
$0.89896$ |
$3.89807$ |
$[1, 0, 1, -349298, -65850172]$ |
\(y^2+xy+y=x^3-349298x-65850172\) |
2.6.0.a.1, 76.12.0.?, 84.12.0.?, 120.12.0.?, 280.12.0.?, $\ldots$ |
$[(30909, 5417665)]$ |
| 414960.fn3 |
414960fn2 |
414960.fn |
414960fn |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 19 \) |
\( 2^{18} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 13^{4} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$15960$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2949120$ |
$1.879904$ |
$40061018056412809/7275103617600$ |
$0.89896$ |
$3.59827$ |
$[0, 1, 0, -114056, -12319500]$ |
\(y^2=x^3+x^2-114056x-12319500\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 120.24.0.?, 532.12.0.?, $\ldots$ |
$[]$ |
