| 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 |
| 396.a1 |
396b2 |
396.a |
396b |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{7} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$0.155820845$ |
$1$ |
|
$15$ |
$96$ |
$0.198013$ |
$810448/363$ |
$0.86847$ |
$4.30370$ |
$[0, 0, 0, -111, 214]$ |
\(y^2=x^3-111x+214\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[(-1, 18)]$ |
| 396.a2 |
396b1 |
396.a |
396b |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{8} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$0.311641691$ |
$1$ |
|
$11$ |
$48$ |
$-0.148561$ |
$131072/99$ |
$1.36072$ |
$3.53558$ |
$[0, 0, 0, 24, 25]$ |
\(y^2=x^3+24x+25\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[(2, 9)]$ |
| 396.b1 |
396a2 |
396.b |
396a |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11 \) |
\( 2^{8} \cdot 3^{11} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$480$ |
$0.964669$ |
$932410994128/29403$ |
$0.99766$ |
$6.63687$ |
$[0, 0, 0, -11631, -482794]$ |
\(y^2=x^3-11631x-482794\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[]$ |
| 396.b2 |
396a1 |
396.b |
396a |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{16} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$240$ |
$0.618095$ |
$-3196715008/649539$ |
$1.08791$ |
$5.27477$ |
$[0, 0, 0, -696, -8215]$ |
\(y^2=x^3-696x-8215\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[]$ |
| 396.c1 |
396c2 |
396.c |
396c |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{6} \cdot 11^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$66$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$180$ |
$0.446319$ |
$-199794688/1331$ |
$0.99506$ |
$5.22637$ |
$[0, 0, 0, -696, 7108]$ |
\(y^2=x^3-696x+7108\) |
3.8.0-3.a.1.2, 22.2.0.a.1, 66.16.0-66.a.1.4 |
$[]$ |
| 396.c2 |
396c1 |
396.c |
396c |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 11 \) |
\( - 2^{8} \cdot 3^{6} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$66$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$60$ |
$-0.102988$ |
$8192/11$ |
$0.84294$ |
$3.58203$ |
$[0, 0, 0, 24, 52]$ |
\(y^2=x^3+24x+52\) |
3.8.0-3.a.1.1, 22.2.0.a.1, 66.16.0-66.a.1.1 |
$[]$ |
