| 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 |
| 30446.a3 |
30446f2 |
30446.a |
30446f |
$3$ |
$9$ |
\( 2 \cdot 13 \cdot 1171 \) |
\( - 2^{18} \cdot 13^{3} \cdot 1171^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.24.0.1 |
3Cs.1.1 |
$274014$ |
$144$ |
$3$ |
$7.464675856$ |
$1$ |
|
$2$ |
$334368$ |
$2.136539$ |
$1510256987478812234375/924784759817371648$ |
$0.99580$ |
$4.72374$ |
$[1, 0, 1, 239024, -10823394]$ |
\(y^2+xy+y=x^3+239024x-10823394\) |
3.24.0-3.a.1.1, 10539.72.0.?, 30446.2.0.?, 91338.48.1.?, 274014.144.3.? |
$[(19825/21, 852167/21)]$ |
| 243568.s3 |
243568s2 |
243568.s |
243568s |
$3$ |
$9$ |
\( 2^{4} \cdot 13 \cdot 1171 \) |
\( - 2^{30} \cdot 13^{3} \cdot 1171^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$548028$ |
$144$ |
$3$ |
$10.31611283$ |
$1$ |
|
$0$ |
$8024832$ |
$2.829685$ |
$1510256987478812234375/924784759817371648$ |
$0.99580$ |
$4.60241$ |
$[0, -1, 0, 3824392, 692697200]$ |
\(y^2=x^3-x^2+3824392x+692697200\) |
3.12.0.a.1, 12.24.0-3.a.1.1, 10539.36.0.?, 30446.2.0.?, 42156.72.0.?, $\ldots$ |
$[(6267196/75, 33579679744/75)]$ |
| 274014.q3 |
274014q2 |
274014.q |
274014q |
$3$ |
$9$ |
\( 2 \cdot 3^{2} \cdot 13 \cdot 1171 \) |
\( - 2^{18} \cdot 3^{6} \cdot 13^{3} \cdot 1171^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.24.0.1 |
3Cs.1.1 |
$274014$ |
$144$ |
$3$ |
$3.292140071$ |
$1$ |
|
$4$ |
$8024832$ |
$2.685844$ |
$1510256987478812234375/924784759817371648$ |
$0.99580$ |
$4.42125$ |
$[1, -1, 1, 2151220, 292231631]$ |
\(y^2+xy+y=x^3-x^2+2151220x+292231631\) |
3.24.0-3.a.1.1, 10539.72.0.?, 30446.2.0.?, 91338.48.1.?, 274014.144.3.? |
$[(6357, 517237)]$ |
| 395798.o3 |
395798o2 |
395798.o |
395798o |
$3$ |
$9$ |
\( 2 \cdot 13^{2} \cdot 1171 \) |
\( - 2^{18} \cdot 13^{9} \cdot 1171^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$274014$ |
$144$ |
$3$ |
$0.652623198$ |
$1$ |
|
$0$ |
$56173824$ |
$3.419014$ |
$1510256987478812234375/924784759817371648$ |
$0.99580$ |
$4.97773$ |
$[1, 0, 0, 40395137, -23819391207]$ |
\(y^2+xy=x^3+40395137x-23819391207\) |
3.12.0.a.1, 39.24.0-3.a.1.1, 7026.24.0.?, 10539.36.0.?, 21078.72.0.?, $\ldots$ |
$[(273974/5, 163967033/5)]$ |
