| 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 |
| 360789.j1 |
360789j2 |
360789.j |
360789j |
$2$ |
$3$ |
\( 3 \cdot 11 \cdot 13 \cdot 29^{2} \) |
\( - 3 \cdot 11^{12} \cdot 13^{6} \cdot 29^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$6$ |
$16$ |
$0$ |
$1$ |
$729$ |
$3$ |
$0$ |
$44487429120$ |
$6.619720$ |
$-17032812843524919638015362135588864000/45445783003836939867$ |
$1.09930$ |
$8.80479$ |
$[0, 1, 1, -425515660683913, -3378480795322981367837]$ |
\(y^2+y=x^3+x^2-425515660683913x-3378480795322981367837\) |
3.8.0-3.a.1.1, 6.16.0-6.b.1.1 |
$[]$ |
| 441285.e1 |
441285e2 |
441285.e |
441285e |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \cdot 73 \) |
\( 3^{26} \cdot 5^{2} \cdot 13 \cdot 31^{10} \cdot 73^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$1765140$ |
$12$ |
$0$ |
$1$ |
$729$ |
$3$ |
$0$ |
$197294522880$ |
$7.240723$ |
$50628209433841696674589519926357042645437807970241/7480195401503760862683905688240337640026725$ |
$1.07736$ |
$8.80547$ |
$[1, 1, 1, -770707559189660, -8234308084519323900088]$ |
\(y^2+xy+y=x^3+x^2-770707559189660x-8234308084519323900088\) |
2.3.0.a.1, 1860.6.0.?, 1898.6.0.?, 1765140.12.0.? |
$[]$ |
| 441285.e2 |
441285e1 |
441285.e |
441285e |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \cdot 73 \) |
\( 3^{13} \cdot 5 \cdot 13^{2} \cdot 31^{5} \cdot 73^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$1765140$ |
$12$ |
$0$ |
$1$ |
$729$ |
$3$ |
$1$ |
$98647261440$ |
$6.894150$ |
$16119108678509693487345438704837657398693471921/4707187861892782399639844371432388230672665$ |
$1.04307$ |
$8.18594$ |
$[1, 1, 1, -52626655448355, -103425160702012025040]$ |
\(y^2+xy+y=x^3+x^2-52626655448355x-103425160702012025040\) |
2.3.0.a.1, 930.6.0.?, 3796.6.0.?, 1765140.12.0.? |
$[]$ |
| 484080.p1 |
484080p1 |
484080.p |
484080p |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 2017 \) |
\( - 2^{8} \cdot 3 \cdot 5^{14} \cdot 2017 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12102$ |
$2$ |
$0$ |
$1$ |
$729$ |
$3$ |
$0$ |
$2837439360$ |
$5.263657$ |
$-37563497290981250394537599332422290243584/36932373046875$ |
$1.10193$ |
$7.56089$ |
$[0, 1, 0, -4430241737941, -3589131981694598641]$ |
\(y^2=x^3+x^2-4430241737941x-3589131981694598641\) |
12102.2.0.? |
$[]$ |
| 195064651.a1 |
- |
195064651.a |
- |
$1$ |
$1$ |
\( 195064651 \) |
\( -195064651 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$390129302$ |
$2$ |
$0$ |
$1$ |
$729$ |
$3$ |
$0$ |
|
$3.740551$ |
$-104275274404707206442806409818800128/195064651$ |
$0.94494$ |
$4.22406$ |
$[0, 0, 1, -9805864244, -373746322608950]$ |
\(y^2+y=x^3-9805864244x-373746322608950\) |
390129302.2.0.? |
$[]$ |
