| 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 |
| 50008.i1 |
50008e2 |
50008.i |
50008e |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 19 \cdot 47 \) |
\( 2^{8} \cdot 7 \cdot 19^{2} \cdot 47^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$25004$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$584064$ |
$2.105553$ |
$25156640481643577374288/262360721$ |
$0.95317$ |
$5.27957$ |
$[0, -1, 0, -3876052, 2938485540]$ |
\(y^2=x^3-x^2-3876052x+2938485540\) |
2.3.0.a.1, 76.6.0.?, 658.6.0.?, 25004.12.0.? |
$[]$ |
| 100016.b1 |
100016e2 |
100016.b |
100016e |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 19 \cdot 47 \) |
\( 2^{8} \cdot 7 \cdot 19^{2} \cdot 47^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$25004$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1168128$ |
$2.105553$ |
$25156640481643577374288/262360721$ |
$0.95317$ |
$4.96171$ |
$[0, 1, 0, -3876052, -2938485540]$ |
\(y^2=x^3+x^2-3876052x-2938485540\) |
2.3.0.a.1, 76.6.0.?, 658.6.0.?, 25004.12.0.? |
$[]$ |
| 350056.b1 |
350056b2 |
350056.b |
350056b |
$2$ |
$2$ |
\( 2^{3} \cdot 7^{2} \cdot 19 \cdot 47 \) |
\( 2^{8} \cdot 7^{7} \cdot 19^{2} \cdot 47^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$25004$ |
$12$ |
$0$ |
$9.851326166$ |
$1$ |
|
$3$ |
$28035072$ |
$3.078506$ |
$25156640481643577374288/262360721$ |
$0.95317$ |
$5.38938$ |
$[0, 1, 0, -189926564, -1007520687104]$ |
\(y^2=x^3+x^2-189926564x-1007520687104\) |
2.3.0.a.1, 76.6.0.?, 658.6.0.?, 25004.12.0.? |
$[(506130, 359940574)]$ |
| 400064.d1 |
400064d2 |
400064.d |
400064d |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 19 \cdot 47 \) |
\( 2^{14} \cdot 7 \cdot 19^{2} \cdot 47^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$25004$ |
$12$ |
$0$ |
$4.066627575$ |
$1$ |
|
$7$ |
$9345024$ |
$2.452126$ |
$25156640481643577374288/262360721$ |
$0.95317$ |
$4.75088$ |
$[0, 1, 0, -15504209, 23492380111]$ |
\(y^2=x^3+x^2-15504209x+23492380111\) |
2.3.0.a.1, 76.6.0.?, 658.6.0.?, 25004.12.0.? |
$[(2435, 13536), (1589, 53580)]$ |
| 400064.br1 |
400064br2 |
400064.br |
400064br |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 19 \cdot 47 \) |
\( 2^{14} \cdot 7 \cdot 19^{2} \cdot 47^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$25004$ |
$12$ |
$0$ |
$1$ |
$25$ |
$5$ |
$1$ |
$9345024$ |
$2.452126$ |
$25156640481643577374288/262360721$ |
$0.95317$ |
$4.75088$ |
$[0, -1, 0, -15504209, -23492380111]$ |
\(y^2=x^3-x^2-15504209x-23492380111\) |
2.3.0.a.1, 76.6.0.?, 658.6.0.?, 25004.12.0.? |
$[]$ |
| 450072.d1 |
450072d2 |
450072.d |
450072d |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 19 \cdot 47 \) |
\( 2^{8} \cdot 3^{6} \cdot 7 \cdot 19^{2} \cdot 47^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$25004$ |
$12$ |
$0$ |
$45.51162859$ |
$1$ |
|
$1$ |
$14017536$ |
$2.654858$ |
$25156640481643577374288/262360721$ |
$0.95317$ |
$4.89479$ |
$[0, 0, 0, -34884471, -79304225110]$ |
\(y^2=x^3-34884471x-79304225110\) |
2.3.0.a.1, 76.6.0.?, 658.6.0.?, 25004.12.0.? |
$[(115541111445599655479/17124671, 1241811639659295227572386062560/17124671)]$ |
