| 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 |
| 104222.a1 |
104222b2 |
104222.a |
104222b |
$2$ |
$2$ |
\( 2 \cdot 31 \cdot 41^{2} \) |
\( 2^{11} \cdot 31^{2} \cdot 41^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$248$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8279040$ |
$3.059258$ |
$105272390671409233/5561459345408$ |
$1.04070$ |
$5.32069$ |
$[1, 0, 0, -16536032, -24673584128]$ |
\(y^2+xy=x^3-16536032x-24673584128\) |
2.3.0.a.1, 8.6.0.b.1, 124.6.0.?, 248.12.0.? |
$[ ]$ |
| 104222.a2 |
104222b1 |
104222.a |
104222b |
$2$ |
$2$ |
\( 2 \cdot 31 \cdot 41^{2} \) |
\( - 2^{22} \cdot 31 \cdot 41^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$248$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4139520$ |
$2.712685$ |
$7237215346607/218569375744$ |
$1.04191$ |
$4.83173$ |
$[1, 0, 0, 677408, -1535278080]$ |
\(y^2+xy=x^3+677408x-1535278080\) |
2.3.0.a.1, 8.6.0.c.1, 62.6.0.b.1, 248.12.0.? |
$[ ]$ |
| 104222.b1 |
104222a4 |
104222.b |
104222a |
$4$ |
$4$ |
\( 2 \cdot 31 \cdot 41^{2} \) |
\( 2 \cdot 31 \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$10168$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$552960$ |
$1.748709$ |
$3999236143617/62$ |
$1.07559$ |
$4.43979$ |
$[1, -1, 1, -555886, 159663087]$ |
\(y^2+xy+y=x^3-x^2-555886x+159663087\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 248.24.0.?, 328.24.0.?, $\ldots$ |
$[ ]$ |
| 104222.b2 |
104222a3 |
104222.b |
104222a |
$4$ |
$4$ |
\( 2 \cdot 31 \cdot 41^{2} \) |
\( 2 \cdot 31^{4} \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$10168$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$552960$ |
$1.748709$ |
$3196010817/1847042$ |
$1.17908$ |
$3.82253$ |
$[1, -1, 1, -51586, -152945]$ |
\(y^2+xy+y=x^3-x^2-51586x-152945\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 164.12.0.?, 248.24.0.?, $\ldots$ |
$[ ]$ |
| 104222.b3 |
104222a2 |
104222.b |
104222a |
$4$ |
$4$ |
\( 2 \cdot 31 \cdot 41^{2} \) |
\( 2^{2} \cdot 31^{2} \cdot 41^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$10168$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$276480$ |
$1.402134$ |
$979146657/3844$ |
$1.02504$ |
$3.72015$ |
$[1, -1, 1, -34776, 2496311]$ |
\(y^2+xy+y=x^3-x^2-34776x+2496311\) |
2.6.0.a.1, 8.12.0.a.1, 124.12.0.?, 164.12.0.?, 248.24.0.?, $\ldots$ |
$[ ]$ |
| 104222.b4 |
104222a1 |
104222.b |
104222a |
$4$ |
$4$ |
\( 2 \cdot 31 \cdot 41^{2} \) |
\( - 2^{4} \cdot 31 \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$10168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$138240$ |
$1.055561$ |
$-35937/496$ |
$0.93090$ |
$3.11433$ |
$[1, -1, 1, -1156, 75671]$ |
\(y^2+xy+y=x^3-x^2-1156x+75671\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 62.6.0.b.1, 124.12.0.?, $\ldots$ |
$[ ]$ |
