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 |
22386.a1 |
22386c1 |
22386.a |
22386c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{8} \cdot 3^{3} \cdot 7^{2} \cdot 13^{7} \cdot 41 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$6396$ |
$2$ |
$0$ |
$0.562043310$ |
$1$ |
|
$12$ |
$118272$ |
$1.637054$ |
$24342833031142160809/871338958753536$ |
$0.94607$ |
$4.45666$ |
$[1, 1, 0, -60378, -5556204]$ |
\(y^2+xy=x^3+x^2-60378x-5556204\) |
6396.2.0.? |
$[(500, 9214), (-124, 270)]$ |
67158.br1 |
67158bq1 |
67158.br |
67158bq |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{2} \cdot 13^{7} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6396$ |
$2$ |
$0$ |
$0.082382440$ |
$1$ |
|
$12$ |
$946176$ |
$2.186359$ |
$24342833031142160809/871338958753536$ |
$0.94607$ |
$4.60921$ |
$[1, -1, 1, -543407, 149474103]$ |
\(y^2+xy+y=x^3-x^2-543407x+149474103\) |
6396.2.0.? |
$[(683, 9486)]$ |
156702.bf1 |
156702ch1 |
156702.bf |
156702ch |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{8} \cdot 3^{3} \cdot 7^{8} \cdot 13^{7} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6396$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5677056$ |
$2.610008$ |
$24342833031142160809/871338958753536$ |
$0.94607$ |
$4.70772$ |
$[1, 0, 1, -2958548, 1896902354]$ |
\(y^2+xy+y=x^3-2958548x+1896902354\) |
6396.2.0.? |
$[]$ |
179088.bt1 |
179088e1 |
179088.bt |
179088e |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{20} \cdot 3^{3} \cdot 7^{2} \cdot 13^{7} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6396$ |
$2$ |
$0$ |
$0.395136685$ |
$1$ |
|
$6$ |
$2838528$ |
$2.330200$ |
$24342833031142160809/871338958753536$ |
$0.94607$ |
$4.37815$ |
$[0, 1, 0, -966056, 353664948]$ |
\(y^2=x^3+x^2-966056x+353664948\) |
6396.2.0.? |
$[(364, 7098)]$ |
291018.cj1 |
291018cj1 |
291018.cj |
291018cj |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 41 \) |
\( 2^{8} \cdot 3^{3} \cdot 7^{2} \cdot 13^{13} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6396$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19869696$ |
$2.919529$ |
$24342833031142160809/871338958753536$ |
$0.94607$ |
$4.77131$ |
$[1, 1, 1, -10203970, -12155960497]$ |
\(y^2+xy+y=x^3+x^2-10203970x-12155960497\) |
6396.2.0.? |
$[]$ |
470106.ek1 |
470106ek1 |
470106.ek |
470106ek |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 41 \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{8} \cdot 13^{7} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6396$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$45416448$ |
$3.159317$ |
$24342833031142160809/871338958753536$ |
$0.94607$ |
$4.81642$ |
$[1, -1, 1, -26626928, -51216363565]$ |
\(y^2+xy+y=x^3-x^2-26626928x-51216363565\) |
6396.2.0.? |
$[]$ |