| 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 |
Manin constant |
| 82110.bs8 |
82110bt5 |
82110.bs |
82110bt |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \cdot 23 \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17^{16} \cdot 23^{2} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.25 |
2B |
$1313760$ |
$768$ |
$13$ |
$8.139460968$ |
$1$ |
|
$4$ |
$58720256$ |
$3.994099$ |
$4837987390362436347081585367679/4540848316592979232425603600$ |
$1.01688$ |
$6.24383$ |
$[1, 0, 0, 352354920, -2007529902000]$ |
\(y^2+xy=x^3+352354920x-2007529902000\) |
2.3.0.a.1, 4.24.0-4.d.1.1, 8.48.0-8.q.1.2, 16.96.0-16.j.1.2, 120.96.0.?, $\ldots$ |
$[(7350, 985950)]$ |
$1$ |
| 246330.j8 |
246330j6 |
246330.j |
246330j |
$8$ |
$16$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \cdot 23 \) |
\( - 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 17^{16} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.60 |
2B |
$1313760$ |
$768$ |
$13$ |
$20.10339399$ |
$1$ |
|
$0$ |
$469762048$ |
$4.543404$ |
$4837987390362436347081585367679/4540848316592979232425603600$ |
$1.01688$ |
$6.22225$ |
$[1, -1, 0, 3171194280, 54203307354000]$ |
\(y^2+xy=x^3-x^2+3171194280x+54203307354000\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.q.1, 12.24.0-4.d.1.1, 16.48.0.j.1, $\ldots$ |
$[(3950807331/286, 417950321978019/286)]$ |
$1$ |
| 410550.u8 |
410550u5 |
410550.u |
410550u |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \cdot 23 \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 17^{16} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.60 |
2B |
$1313760$ |
$768$ |
$13$ |
$13.76671617$ |
$1$ |
|
$0$ |
$1409286144$ |
$4.798820$ |
$4837987390362436347081585367679/4540848316592979232425603600$ |
$1.01688$ |
$6.21347$ |
$[1, 1, 0, 8808873000, -250941237750000]$ |
\(y^2+xy=x^3+x^2+8808873000x-250941237750000\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.q.1, 16.48.0.j.1, 20.24.0-4.d.1.1, $\ldots$ |
$[(6827689/9, 24042898529/9)]$ |
$1$ |
