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 |
112710.cf2 |
112710cg1 |
112710.cf |
112710cg |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13260$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$557056$ |
$1.577490$ |
$16974593/9360$ |
$0.84382$ |
$3.62311$ |
$[1, 1, 1, -26305, 345647]$ |
\(y^2+xy+y=x^3+x^2-26305x+345647\) |
2.3.0.a.1, 204.6.0.?, 780.6.0.?, 2210.6.0.?, 13260.12.0.? |
$[]$ |
112710.cp2 |
112710cq1 |
112710.cp |
112710cq |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13260$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$32768$ |
$0.160884$ |
$16974593/9360$ |
$0.84382$ |
$2.16176$ |
$[1, 0, 0, -91, 65]$ |
\(y^2+xy=x^3-91x+65\) |
2.3.0.a.1, 204.6.0.?, 780.6.0.?, 2210.6.0.?, 13260.12.0.? |
$[]$ |
338130.s2 |
338130s1 |
338130.s |
338130s |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5 \cdot 13 \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13260$ |
$12$ |
$0$ |
$6.633445319$ |
$1$ |
|
$3$ |
$4456448$ |
$2.126797$ |
$16974593/9360$ |
$0.84382$ |
$3.82822$ |
$[1, -1, 0, -236745, -9569219]$ |
\(y^2+xy=x^3-x^2-236745x-9569219\) |
2.3.0.a.1, 204.6.0.?, 780.6.0.?, 2210.6.0.?, 13260.12.0.? |
$[(1290, 42139)]$ |
338130.bj2 |
338130bj1 |
338130.bj |
338130bj |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5 \cdot 13 \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13260$ |
$12$ |
$0$ |
$3.149894115$ |
$1$ |
|
$11$ |
$262144$ |
$0.710190$ |
$16974593/9360$ |
$0.84382$ |
$2.49298$ |
$[1, -1, 0, -819, -1755]$ |
\(y^2+xy=x^3-x^2-819x-1755\) |
2.3.0.a.1, 204.6.0.?, 780.6.0.?, 2210.6.0.?, 13260.12.0.? |
$[(-6, 57), (34, 77)]$ |