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 |
62790.bu7 |
62790bt1 |
62790.bu |
62790bt |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{24} \cdot 3^{12} \cdot 5^{6} \cdot 7^{2} \cdot 13^{4} \cdot 23 \) |
$0$ |
$\Z/12\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.7, 3.8.0.1 |
2B, 3B.1.1 |
$7176$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$11$ |
$19021824$ |
$3.555370$ |
$-522923112164227281987660878881/4484275679769919488000000$ |
$1.00536$ |
$6.19539$ |
$[1, 0, 0, -167843570, 843125287812]$ |
\(y^2+xy=x^3-167843570x+843125287812\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.12.0-4.c.1.1, 6.24.0-6.a.1.4, 12.96.0-12.c.1.8, $\ldots$ |
$[]$ |
188370.r7 |
188370cc1 |
188370.r |
188370cc |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{24} \cdot 3^{18} \cdot 5^{6} \cdot 7^{2} \cdot 13^{4} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$7176$ |
$384$ |
$5$ |
$11.75381534$ |
$1$ |
|
$1$ |
$152174592$ |
$4.104675$ |
$-522923112164227281987660878881/4484275679769919488000000$ |
$1.00536$ |
$6.17772$ |
$[1, -1, 0, -1510592130, -22764382770924]$ |
\(y^2+xy=x^3-x^2-1510592130x-22764382770924\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.c.1, 6.24.0-6.a.1.2, 12.96.0-12.c.1.6, $\ldots$ |
$[(4666671/10, 2869680951/10)]$ |
313950.h7 |
313950h1 |
313950.h |
313950h |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{24} \cdot 3^{12} \cdot 5^{12} \cdot 7^{2} \cdot 13^{4} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$35880$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$456523776$ |
$4.360092$ |
$-522923112164227281987660878881/4484275679769919488000000$ |
$1.00536$ |
$6.17055$ |
$[1, 1, 0, -4196089250, 105390660976500]$ |
\(y^2+xy=x^3+x^2-4196089250x+105390660976500\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[]$ |
439530.cy7 |
439530cy1 |
439530.cy |
439530cy |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 2^{24} \cdot 3^{12} \cdot 5^{6} \cdot 7^{8} \cdot 13^{4} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$50232$ |
$384$ |
$5$ |
$12.14016236$ |
$1$ |
|
$1$ |
$913047552$ |
$4.528328$ |
$-522923112164227281987660878881/4484275679769919488000000$ |
$1.00536$ |
$6.16613$ |
$[1, 1, 1, -8224334931, -289200198054447]$ |
\(y^2+xy+y=x^3+x^2-8224334931x-289200198054447\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[(29972499/7, 162067814082/7)]$ |