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 |
78408.h1 |
78408w1 |
78408.h |
78408w |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.4.0.3 |
|
$4$ |
$4$ |
$0$ |
$3.977643270$ |
$1$ |
|
$2$ |
$31104$ |
$0.462818$ |
$-4356$ |
$0.75947$ |
$2.62926$ |
$[0, 0, 0, -363, -3146]$ |
\(y^2=x^3-363x-3146\) |
4.4.0-4.a.1.1 |
$[(42, 236)]$ |
78408.n1 |
78408i1 |
78408.n |
78408i |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.2.0.1 |
|
$44$ |
$4$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$342144$ |
$1.661766$ |
$-4356$ |
$0.75947$ |
$3.90590$ |
$[0, 0, 0, -43923, 4187326]$ |
\(y^2=x^3-43923x+4187326\) |
4.2.0.a.1, 44.4.0-4.a.1.1 |
$[ ]$ |
78408.q1 |
78408g1 |
78408.q |
78408g |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{10} \cdot 11^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.2.0.1 |
|
$12$ |
$4$ |
$0$ |
$0.700956341$ |
$1$ |
|
$14$ |
$93312$ |
$1.012125$ |
$-4356$ |
$0.75947$ |
$3.21416$ |
$[0, 0, 0, -3267, 84942]$ |
\(y^2=x^3-3267x+84942\) |
4.2.0.a.1, 12.4.0-4.a.1.1 |
$[(-33, 396), (111, 1044)]$ |
78408.y1 |
78408u1 |
78408.y |
78408u |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{10} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.2.0.1 |
|
$132$ |
$4$ |
$0$ |
$15.25634691$ |
$1$ |
|
$0$ |
$1026432$ |
$2.211071$ |
$-4356$ |
$0.75947$ |
$4.49081$ |
$[0, 0, 0, -395307, -113057802]$ |
\(y^2=x^3-395307x-113057802\) |
4.2.0.a.1, 132.4.0.? |
$[(15501729/86, 57828871737/86)]$ |
156816.bf1 |
156816cw1 |
156816.bf |
156816cw |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 11^{10} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.2.0.1 |
|
$44$ |
$4$ |
$0$ |
$36.87161788$ |
$1$ |
|
$4$ |
$684288$ |
$1.661766$ |
$-4356$ |
$0.75947$ |
$3.67959$ |
$[0, 0, 0, -43923, -4187326]$ |
\(y^2=x^3-43923x-4187326\) |
4.2.0.a.1, 44.4.0-4.a.1.1 |
$[(587, 13126), (947, 28346)]$ |
156816.bk1 |
156816cy1 |
156816.bk |
156816cy |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 11^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.4.0.3 |
|
$4$ |
$4$ |
$0$ |
$1.457616752$ |
$1$ |
|
$6$ |
$62208$ |
$0.462818$ |
$-4356$ |
$0.75947$ |
$2.47692$ |
$[0, 0, 0, -363, 3146]$ |
\(y^2=x^3-363x+3146\) |
4.4.0-4.a.1.1 |
$[(11, 22), (187/3, 1826/3)]$ |
156816.cf1 |
156816cz1 |
156816.cf |
156816cz |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{10} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.2.0.1 |
|
$132$ |
$4$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2052864$ |
$2.211071$ |
$-4356$ |
$0.75947$ |
$4.23060$ |
$[0, 0, 0, -395307, 113057802]$ |
\(y^2=x^3-395307x+113057802\) |
4.2.0.a.1, 132.4.0.? |
$[ ]$ |
156816.ci1 |
156816de1 |
156816.ci |
156816de |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{4} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{10} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
4.2.0.1 |
|
$12$ |
$4$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$186624$ |
$1.012125$ |
$-4356$ |
$0.75947$ |
$3.02793$ |
$[0, 0, 0, -3267, -84942]$ |
\(y^2=x^3-3267x-84942\) |
4.2.0.a.1, 12.4.0-4.a.1.1 |
$[ ]$ |