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.br1 |
112710bv1 |
112710.br |
112710bv |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{20} \cdot 3^{2} \cdot 5 \cdot 13^{3} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$260$ |
$2$ |
$0$ |
$1.238616443$ |
$1$ |
|
$2$ |
$8225280$ |
$2.792286$ |
$-4806353270849329/103667466240$ |
$0.95210$ |
$5.05572$ |
$[1, 1, 1, -6717811, -6828321487]$ |
\(y^2+xy+y=x^3+x^2-6717811x-6828321487\) |
260.2.0.? |
$[(3299, 81582)]$ |
112710.dd1 |
112710da1 |
112710.dd |
112710da |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{20} \cdot 3^{2} \cdot 5 \cdot 13^{3} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$260$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$483840$ |
$1.375677$ |
$-4806353270849329/103667466240$ |
$0.95210$ |
$3.59437$ |
$[1, 0, 0, -23245, -1391215]$ |
\(y^2+xy=x^3-23245x-1391215\) |
260.2.0.? |
$[]$ |
338130.ba1 |
338130ba1 |
338130.ba |
338130ba |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{20} \cdot 3^{8} \cdot 5 \cdot 13^{3} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$260$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3870720$ |
$1.924984$ |
$-4806353270849329/103667466240$ |
$0.95210$ |
$3.80196$ |
$[1, -1, 0, -209205, 37562805]$ |
\(y^2+xy=x^3-x^2-209205x+37562805\) |
260.2.0.? |
$[]$ |
338130.bc1 |
338130bc1 |
338130.bc |
338130bc |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \) |
\( - 2^{20} \cdot 3^{8} \cdot 5 \cdot 13^{3} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$260$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$65802240$ |
$3.341591$ |
$-4806353270849329/103667466240$ |
$0.95210$ |
$5.13720$ |
$[1, -1, 0, -60460299, 184304219845]$ |
\(y^2+xy=x^3-x^2-60460299x+184304219845\) |
260.2.0.? |
$[]$ |