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 |
18562.a1 |
18562c1 |
18562.a |
18562c |
$1$ |
$1$ |
\( 2 \cdot 9281 \) |
\( 2^{2} \cdot 9281 \) |
$3$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$18562$ |
$2$ |
$0$ |
$0.566748574$ |
$1$ |
|
$30$ |
$4720$ |
$-0.360919$ |
$822656953/37124$ |
$0.73331$ |
$2.08855$ |
$[1, 0, 1, -20, 30]$ |
\(y^2+xy+y=x^3-20x+30\) |
18562.2.0.? |
$[(3, -3), (2, -2), (-1, 7)]$ |
148496.k1 |
148496e1 |
148496.k |
148496e |
$1$ |
$1$ |
\( 2^{4} \cdot 9281 \) |
\( 2^{14} \cdot 9281 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$18562$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$113280$ |
$0.332228$ |
$822656953/37124$ |
$0.73331$ |
$2.42233$ |
$[0, -1, 0, -312, -1936]$ |
\(y^2=x^3-x^2-312x-1936\) |
18562.2.0.? |
$[]$ |
167058.q1 |
167058f1 |
167058.q |
167058f |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 9281 \) |
\( 2^{2} \cdot 3^{6} \cdot 9281 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$18562$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$113280$ |
$0.188387$ |
$822656953/37124$ |
$0.73331$ |
$2.25507$ |
$[1, -1, 1, -176, -817]$ |
\(y^2+xy+y=x^3-x^2-176x-817\) |
18562.2.0.? |
$[]$ |
464050.h1 |
464050h1 |
464050.h |
464050h |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 9281 \) |
\( 2^{2} \cdot 5^{6} \cdot 9281 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$18562$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$509760$ |
$0.443800$ |
$822656953/37124$ |
$0.73331$ |
$2.31340$ |
$[1, 1, 1, -488, 3781]$ |
\(y^2+xy+y=x^3+x^2-488x+3781\) |
18562.2.0.? |
$[]$ |