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 |
50008.h1 |
50008i1 |
50008.h |
50008i |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 19 \cdot 47 \) |
\( 2^{8} \cdot 7 \cdot 19^{2} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$25004$ |
$12$ |
$0$ |
$2.256179011$ |
$1$ |
|
$3$ |
$9856$ |
$0.130702$ |
$259108432/118769$ |
$0.70398$ |
$2.30296$ |
$[0, -1, 0, -84, 164]$ |
\(y^2=x^3-x^2-84x+164\) |
2.3.0.a.1, 76.6.0.?, 658.6.0.?, 25004.12.0.? |
$[(20, 78)]$ |
100016.a1 |
100016a1 |
100016.a |
100016a |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 19 \cdot 47 \) |
\( 2^{8} \cdot 7 \cdot 19^{2} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$25004$ |
$12$ |
$0$ |
$2.249172616$ |
$1$ |
|
$3$ |
$19712$ |
$0.130702$ |
$259108432/118769$ |
$0.70398$ |
$2.16431$ |
$[0, 1, 0, -84, -164]$ |
\(y^2=x^3+x^2-84x-164\) |
2.3.0.a.1, 76.6.0.?, 658.6.0.?, 25004.12.0.? |
$[(14, 40)]$ |
350056.e1 |
350056e1 |
350056.e |
350056e |
$2$ |
$2$ |
\( 2^{3} \cdot 7^{2} \cdot 19 \cdot 47 \) |
\( 2^{8} \cdot 7^{7} \cdot 19^{2} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$25004$ |
$12$ |
$0$ |
$1.963433526$ |
$1$ |
|
$5$ |
$473088$ |
$1.103657$ |
$259108432/118769$ |
$0.70398$ |
$2.86651$ |
$[0, 1, 0, -4132, -48000]$ |
\(y^2=x^3+x^2-4132x-48000\) |
2.3.0.a.1, 76.6.0.?, 658.6.0.?, 25004.12.0.? |
$[(86, 490)]$ |
400064.f1 |
400064f1 |
400064.f |
400064f |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 19 \cdot 47 \) |
\( 2^{14} \cdot 7 \cdot 19^{2} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$25004$ |
$12$ |
$0$ |
$2.600854798$ |
$1$ |
|
$3$ |
$157696$ |
$0.477276$ |
$259108432/118769$ |
$0.70398$ |
$2.25413$ |
$[0, 1, 0, -337, 975]$ |
\(y^2=x^3+x^2-337x+975\) |
2.3.0.a.1, 76.6.0.?, 658.6.0.?, 25004.12.0.? |
$[(21, 60)]$ |
400064.bs1 |
400064bs1 |
400064.bs |
400064bs |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 19 \cdot 47 \) |
\( 2^{14} \cdot 7 \cdot 19^{2} \cdot 47 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$25004$ |
$12$ |
$0$ |
$6.096037115$ |
$1$ |
|
$3$ |
$157696$ |
$0.477276$ |
$259108432/118769$ |
$0.70398$ |
$2.25413$ |
$[0, -1, 0, -337, -975]$ |
\(y^2=x^3-x^2-337x-975\) |
2.3.0.a.1, 76.6.0.?, 658.6.0.?, 25004.12.0.? |
$[(879, 26040)]$ |
450072.r1 |
450072r1 |
450072.r |
450072r |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 19 \cdot 47 \) |
\( 2^{8} \cdot 3^{6} \cdot 7 \cdot 19^{2} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$25004$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$236544$ |
$0.680008$ |
$259108432/118769$ |
$0.70398$ |
$2.42062$ |
$[0, 0, 0, -759, -3670]$ |
\(y^2=x^3-759x-3670\) |
2.3.0.a.1, 76.6.0.?, 658.6.0.?, 25004.12.0.? |
$[]$ |