| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 39780.i2 |
39780e1 |
39780.i |
39780e |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13260$ |
$12$ |
$0$ |
$0.536223317$ |
$1$ |
|
$9$ |
$7680$ |
$0.125330$ |
$-28311552/71825$ |
$1.01699$ |
$2.35203$ |
$1$ |
$[0, 0, 0, -48, 297]$ |
\(y^2=x^3-48x+297\) |
2.3.0.a.1, 102.6.0.?, 780.6.0.?, 4420.6.0.?, 13260.12.0.? |
$[(6, 15)]$ |
$1$ |
| 39780.w2 |
39780j1 |
39780.w |
39780j |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13260$ |
$12$ |
$0$ |
$6.991856057$ |
$1$ |
|
$1$ |
$23040$ |
$0.674636$ |
$-28311552/71825$ |
$1.01699$ |
$2.97441$ |
$1$ |
$[0, 0, 0, -432, -8019]$ |
\(y^2=x^3-432x-8019\) |
2.3.0.a.1, 102.6.0.?, 780.6.0.?, 4420.6.0.?, 13260.12.0.? |
$[(3865/2, 240227/2)]$ |
$1$ |
| 159120.q2 |
159120cr1 |
159120.q |
159120cr |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13260$ |
$12$ |
$0$ |
$2.946995718$ |
$1$ |
|
$3$ |
$30720$ |
$0.125330$ |
$-28311552/71825$ |
$1.01699$ |
$2.07980$ |
$1$ |
$[0, 0, 0, -48, -297]$ |
\(y^2=x^3-48x-297\) |
2.3.0.a.1, 102.6.0.?, 780.6.0.?, 4420.6.0.?, 13260.12.0.? |
$[(69, 570)]$ |
$1$ |
| 159120.df2 |
159120ck1 |
159120.df |
159120ck |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13260$ |
$12$ |
$0$ |
$3.806919574$ |
$1$ |
|
$3$ |
$92160$ |
$0.674636$ |
$-28311552/71825$ |
$1.01699$ |
$2.63014$ |
$1$ |
$[0, 0, 0, -432, 8019]$ |
\(y^2=x^3-432x+8019\) |
2.3.0.a.1, 102.6.0.?, 780.6.0.?, 4420.6.0.?, 13260.12.0.? |
$[(513, 11610)]$ |
$1$ |
| 198900.q2 |
198900ck1 |
198900.q |
198900ck |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{8} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13260$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$552960$ |
$1.479355$ |
$-28311552/71825$ |
$1.01699$ |
$3.37353$ |
$1$ |
$[0, 0, 0, -10800, -1002375]$ |
\(y^2=x^3-10800x-1002375\) |
2.3.0.a.1, 102.6.0.?, 780.6.0.?, 4420.6.0.?, 13260.12.0.? |
$[ ]$ |
$1$ |
| 198900.r2 |
198900ch1 |
198900.r |
198900ch |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{8} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13260$ |
$12$ |
$0$ |
$1.726798162$ |
$1$ |
|
$3$ |
$184320$ |
$0.930049$ |
$-28311552/71825$ |
$1.01699$ |
$2.83325$ |
$1$ |
$[0, 0, 0, -1200, 37125]$ |
\(y^2=x^3-1200x+37125\) |
2.3.0.a.1, 102.6.0.?, 780.6.0.?, 4420.6.0.?, 13260.12.0.? |
$[(15, 150)]$ |
$1$ |