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.h2 |
50008i2 |
50008.h |
50008i |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 19 \cdot 47 \) |
\( - 2^{10} \cdot 7^{2} \cdot 19 \cdot 47^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$25004$ |
$12$ |
$0$ |
$4.512358022$ |
$1$ |
|
$1$ |
$19712$ |
$0.477276$ |
$2791456412/2056579$ |
$0.76733$ |
$2.65078$ |
$[0, -1, 0, 296, 924]$ |
\(y^2=x^3-x^2+296x+924\) |
2.3.0.a.1, 38.6.0.b.1, 1316.6.0.?, 25004.12.0.? |
$[(142/3, 2600/3)]$ |
100016.a2 |
100016a2 |
100016.a |
100016a |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 19 \cdot 47 \) |
\( - 2^{10} \cdot 7^{2} \cdot 19 \cdot 47^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$25004$ |
$12$ |
$0$ |
$1.124586308$ |
$1$ |
|
$5$ |
$39424$ |
$0.477276$ |
$2791456412/2056579$ |
$0.76733$ |
$2.49119$ |
$[0, 1, 0, 296, -924]$ |
\(y^2=x^3+x^2+296x-924\) |
2.3.0.a.1, 38.6.0.b.1, 1316.6.0.?, 25004.12.0.? |
$[(10, 56)]$ |
350056.e2 |
350056e2 |
350056.e |
350056e |
$2$ |
$2$ |
\( 2^{3} \cdot 7^{2} \cdot 19 \cdot 47 \) |
\( - 2^{10} \cdot 7^{8} \cdot 19 \cdot 47^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$25004$ |
$12$ |
$0$ |
$3.926867053$ |
$1$ |
|
$3$ |
$946176$ |
$1.450232$ |
$2791456412/2056579$ |
$0.76733$ |
$3.16131$ |
$[0, 1, 0, 14488, -345920]$ |
\(y^2=x^3+x^2+14488x-345920\) |
2.3.0.a.1, 38.6.0.b.1, 1316.6.0.?, 25004.12.0.? |
$[(48, 680)]$ |
400064.f2 |
400064f2 |
400064.f |
400064f |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 19 \cdot 47 \) |
\( - 2^{16} \cdot 7^{2} \cdot 19 \cdot 47^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$25004$ |
$12$ |
$0$ |
$5.201709597$ |
$1$ |
|
$1$ |
$315392$ |
$0.823850$ |
$2791456412/2056579$ |
$0.76733$ |
$2.54587$ |
$[0, 1, 0, 1183, 8575]$ |
\(y^2=x^3+x^2+1183x+8575\) |
2.3.0.a.1, 38.6.0.b.1, 1316.6.0.?, 25004.12.0.? |
$[(37/3, 3140/3)]$ |
400064.bs2 |
400064bs2 |
400064.bs |
400064bs |
$2$ |
$2$ |
\( 2^{6} \cdot 7 \cdot 19 \cdot 47 \) |
\( - 2^{16} \cdot 7^{2} \cdot 19 \cdot 47^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$25004$ |
$12$ |
$0$ |
$12.19207423$ |
$1$ |
|
$1$ |
$315392$ |
$0.823850$ |
$2791456412/2056579$ |
$0.76733$ |
$2.54587$ |
$[0, -1, 0, 1183, -8575]$ |
\(y^2=x^3-x^2+1183x-8575\) |
2.3.0.a.1, 38.6.0.b.1, 1316.6.0.?, 25004.12.0.? |
$[(387487/21, 241250680/21)]$ |
450072.r2 |
450072r2 |
450072.r |
450072r |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 19 \cdot 47 \) |
\( - 2^{10} \cdot 3^{6} \cdot 7^{2} \cdot 19 \cdot 47^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$25004$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$473088$ |
$1.026583$ |
$2791456412/2056579$ |
$0.76733$ |
$2.70973$ |
$[0, 0, 0, 2661, -27610]$ |
\(y^2=x^3+2661x-27610\) |
2.3.0.a.1, 38.6.0.b.1, 1316.6.0.?, 25004.12.0.? |
$[]$ |