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 |
116886.a1 |
116886i1 |
116886.a |
116886i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{2} \cdot 7^{8} \cdot 11^{2} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$6072$ |
$4$ |
$0$ |
$0.183177996$ |
$1$ |
|
$24$ |
$417792$ |
$1.312885$ |
$-1719624451633/439139480976$ |
$0.97913$ |
$3.34742$ |
$[1, 1, 0, -1234, 350596]$ |
\(y^2+xy=x^3+x^2-1234x+350596\) |
4.2.0.a.1, 6072.4.0.? |
$[(88, 922), (249, 3820)]$ |
116886.z1 |
116886bd1 |
116886.z |
116886bd |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{2} \cdot 7^{8} \cdot 11^{8} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$552$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4595712$ |
$2.511833$ |
$-1719624451633/439139480976$ |
$0.97913$ |
$4.58038$ |
$[1, 1, 1, -149377, -467390065]$ |
\(y^2+xy+y=x^3+x^2-149377x-467390065\) |
4.2.0.a.1, 552.4.0.? |
$[]$ |
350658.cc1 |
350658cc1 |
350658.cc |
350658cc |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{8} \cdot 7^{8} \cdot 11^{8} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$184$ |
$4$ |
$0$ |
$2.059163043$ |
$1$ |
|
$4$ |
$36765696$ |
$3.061138$ |
$-1719624451633/439139480976$ |
$0.97913$ |
$4.70253$ |
$[1, -1, 0, -1344393, 12618187357]$ |
\(y^2+xy=x^3-x^2-1344393x+12618187357\) |
4.2.0.a.1, 184.4.0.? |
$[(342, 110275)]$ |
350658.en1 |
350658en1 |
350658.en |
350658en |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \cdot 23 \) |
\( - 2^{4} \cdot 3^{8} \cdot 7^{8} \cdot 11^{2} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$2024$ |
$4$ |
$0$ |
$0.801068525$ |
$1$ |
|
$4$ |
$3342336$ |
$1.862192$ |
$-1719624451633/439139480976$ |
$0.97913$ |
$3.57566$ |
$[1, -1, 1, -11111, -9477201]$ |
\(y^2+xy+y=x^3-x^2-11111x-9477201\) |
4.2.0.a.1, 2024.4.0.? |
$[(281, 2946)]$ |