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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
40616.a1 |
40616b1 |
40616.a |
40616b |
$1$ |
$1$ |
\( 2^{3} \cdot 5077 \) |
\( 2^{8} \cdot 5077 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10154$ |
$2$ |
$0$ |
$0.737956175$ |
$1$ |
|
$12$ |
$11904$ |
$0.457185$ |
$4410243976192/5077$ |
$[0, -1, 0, -2169, 39613]$ |
\(y^2=x^3-x^2-2169x+39613\) |
10154.2.0.? |
$[(27, 2), (109/2, 1/2)]$ |
81232.b1 |
81232b1 |
81232.b |
81232b |
$1$ |
$1$ |
\( 2^{4} \cdot 5077 \) |
\( 2^{8} \cdot 5077 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10154$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$23808$ |
$0.457185$ |
$4410243976192/5077$ |
$[0, 1, 0, -2169, -39613]$ |
\(y^2=x^3+x^2-2169x-39613\) |
10154.2.0.? |
$[]$ |
324928.c1 |
324928c1 |
324928.c |
324928c |
$1$ |
$1$ |
\( 2^{6} \cdot 5077 \) |
\( 2^{14} \cdot 5077 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10154$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$190464$ |
$0.803759$ |
$4410243976192/5077$ |
$[0, -1, 0, -8677, -308227]$ |
\(y^2=x^3-x^2-8677x-308227\) |
10154.2.0.? |
$[]$ |
324928.g1 |
324928g1 |
324928.g |
324928g |
$1$ |
$1$ |
\( 2^{6} \cdot 5077 \) |
\( 2^{14} \cdot 5077 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10154$ |
$2$ |
$0$ |
$1.830835760$ |
$4$ |
$2$ |
$2$ |
$190464$ |
$0.803759$ |
$4410243976192/5077$ |
$[0, 1, 0, -8677, 308227]$ |
\(y^2=x^3+x^2-8677x+308227\) |
10154.2.0.? |
$[(54, 7)]$ |
365544.c1 |
365544c1 |
365544.c |
365544c |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5077 \) |
\( 2^{8} \cdot 3^{6} \cdot 5077 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10154$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$357120$ |
$1.006491$ |
$4410243976192/5077$ |
$[0, 0, 0, -19524, -1050028]$ |
\(y^2=x^3-19524x-1050028\) |
10154.2.0.? |
$[]$ |