| 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 |
| 46410.n4 |
46410s1 |
46410.n |
46410s |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{12} \cdot 3 \cdot 5 \cdot 7^{3} \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$185640$ |
$48$ |
$0$ |
$0.978535019$ |
$1$ |
|
$7$ |
$110592$ |
$1.185848$ |
$17681870665400761/10232167895040$ |
$1.01546$ |
$3.48165$ |
$[1, 1, 0, -5427, -3219]$ |
\(y^2+xy=x^3+x^2-5427x-3219\) |
2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 140.12.0.?, 204.12.0.?, $\ldots$ |
$[(95, 544)]$ |
| 139230.dl4 |
139230bh1 |
139230.dl |
139230bh |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{12} \cdot 3^{7} \cdot 5 \cdot 7^{3} \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$185640$ |
$48$ |
$0$ |
$0.471186835$ |
$1$ |
|
$9$ |
$884736$ |
$1.735153$ |
$17681870665400761/10232167895040$ |
$1.01546$ |
$3.71525$ |
$[1, -1, 1, -48848, 38067]$ |
\(y^2+xy+y=x^3-x^2-48848x+38067\) |
2.3.0.a.1, 4.6.0.c.1, 68.12.0-4.c.1.2, 312.12.0.?, 420.12.0.?, $\ldots$ |
$[(-13, 825)]$ |
| 232050.fv4 |
232050fv1 |
232050.fv |
232050fv |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{12} \cdot 3 \cdot 5^{7} \cdot 7^{3} \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$185640$ |
$48$ |
$0$ |
$3.770347443$ |
$1$ |
|
$3$ |
$2654208$ |
$1.990566$ |
$17681870665400761/10232167895040$ |
$1.01546$ |
$3.80972$ |
$[1, 0, 0, -135688, -131008]$ |
\(y^2+xy=x^3-135688x-131008\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 520.12.0.?, 1020.12.0.?, $\ldots$ |
$[(532, 8584)]$ |
| 324870.bn4 |
324870bn1 |
324870.bn |
324870bn |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \) |
\( 2^{12} \cdot 3 \cdot 5 \cdot 7^{9} \cdot 13^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$185640$ |
$48$ |
$0$ |
$11.44133586$ |
$1$ |
|
$1$ |
$5308416$ |
$2.158802$ |
$17681870665400761/10232167895040$ |
$1.01546$ |
$3.86779$ |
$[1, 0, 1, -265949, 306296]$ |
\(y^2+xy+y=x^3-265949x+306296\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 728.12.0.?, 1428.12.0.?, $\ldots$ |
$[(636689/8, 504808347/8)]$ |
| 371280.fv4 |
371280fv1 |
371280.fv |
371280fv |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{24} \cdot 3 \cdot 5 \cdot 7^{3} \cdot 13^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$185640$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2654208$ |
$1.878994$ |
$17681870665400761/10232167895040$ |
$1.01546$ |
$3.56570$ |
$[0, 1, 0, -86840, 32340]$ |
\(y^2=x^3+x^2-86840x+32340\) |
2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 140.12.0.?, 204.12.0.?, $\ldots$ |
$[]$ |
