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 |
123981.n1 |
123981b1 |
123981.n |
123981b |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 3^{5} \cdot 11 \cdot 13^{2} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$36$ |
$2, 3$ |
$1$ |
$5483520$ |
$2.831329$ |
$92174511082678361/451737$ |
$0.95922$ |
$5.50495$ |
$[1, 1, 0, -46235526, -121026635145]$ |
\(y^2+xy=x^3+x^2-46235526x-121026635145\) |
2.3.0.a.1, 68.6.0.b.1, 132.6.0.?, 1122.6.0.?, 2244.12.0.? |
$[ ]$ |
123981.r1 |
123981t1 |
123981.r |
123981t |
$2$ |
$2$ |
\( 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 3^{5} \cdot 11 \cdot 13^{2} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$322560$ |
$1.414722$ |
$92174511082678361/451737$ |
$0.95922$ |
$4.05547$ |
$[1, 0, 1, -159985, -24643369]$ |
\(y^2+xy+y=x^3-159985x-24643369\) |
2.3.0.a.1, 68.6.0.b.1, 132.6.0.?, 1122.6.0.?, 2244.12.0.? |
$[ ]$ |
371943.h1 |
371943h1 |
371943.h |
371943h |
$2$ |
$2$ |
\( 3^{2} \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 3^{11} \cdot 11 \cdot 13^{2} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1.605802247$ |
$1$ |
|
$5$ |
$2580480$ |
$1.964027$ |
$92174511082678361/451737$ |
$0.95922$ |
$4.22202$ |
$[1, -1, 1, -1439861, 665370956]$ |
\(y^2+xy+y=x^3-x^2-1439861x+665370956\) |
2.3.0.a.1, 68.6.0.b.1, 132.6.0.?, 1122.6.0.?, 2244.12.0.? |
$[(702, 58)]$ |
371943.o1 |
371943o1 |
371943.o |
371943o |
$2$ |
$2$ |
\( 3^{2} \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 3^{11} \cdot 11 \cdot 13^{2} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$43868160$ |
$3.380634$ |
$92174511082678361/451737$ |
$0.95922$ |
$5.54735$ |
$[1, -1, 1, -416119739, 3267303029178]$ |
\(y^2+xy+y=x^3-x^2-416119739x+3267303029178\) |
2.3.0.a.1, 68.6.0.b.1, 132.6.0.?, 1122.6.0.?, 2244.12.0.? |
$[ ]$ |