| 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 |
| 363.a1 |
363c1 |
363.a |
363c |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \) |
\( - 3^{3} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$396$ |
$0.562537$ |
$45056/27$ |
$1.13667$ |
$5.07241$ |
$[0, -1, 1, 444, -826]$ |
\(y^2+y=x^3-x^2+444x-826\) |
6.2.0.a.1 |
$[]$ |
| 363.b1 |
363a3 |
363.b |
363a |
$4$ |
$4$ |
\( 3 \cdot 11^{2} \) |
\( 3^{3} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$720$ |
$1.186316$ |
$347873904937/395307$ |
$1.00913$ |
$6.94939$ |
$[1, 1, 1, -17729, -915100]$ |
\(y^2+xy+y=x^3+x^2-17729x-915100\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0.h.1, 24.24.0-12.h.1.6, $\ldots$ |
$[]$ |
| 363.b2 |
363a2 |
363.b |
363a |
$4$ |
$4$ |
\( 3 \cdot 11^{2} \) |
\( 3^{6} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$132$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$360$ |
$0.839742$ |
$169112377/88209$ |
$1.00669$ |
$5.65510$ |
$[1, 1, 1, -1394, -6874]$ |
\(y^2+xy+y=x^3+x^2-1394x-6874\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.3, 44.24.0-44.b.1.2, 132.48.0.? |
$[]$ |
| 363.b3 |
363a1 |
363.b |
363a |
$4$ |
$4$ |
\( 3 \cdot 11^{2} \) |
\( 3^{3} \cdot 11^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$180$ |
$0.493168$ |
$30664297/297$ |
$1.09706$ |
$5.36543$ |
$[1, 1, 1, -789, 8130]$ |
\(y^2+xy+y=x^3+x^2-789x+8130\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.9, 66.6.0.a.1, 88.24.0.?, $\ldots$ |
$[]$ |
| 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, $\ldots$ |
$[]$ |
| 363.c1 |
363b1 |
363.c |
363b |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \) |
\( - 3^{3} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36$ |
$-0.636411$ |
$45056/27$ |
$1.13667$ |
$2.63156$ |
$[0, -1, 1, 4, -1]$ |
\(y^2+y=x^3-x^2+4x-1\) |
6.2.0.a.1 |
$[]$ |
