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 |
188760.h1 |
188760bf1 |
188760.h |
188760bf |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{5} \cdot 11^{4} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30$ |
$2$ |
$0$ |
$3.741315461$ |
$1$ |
|
$2$ |
$7983360$ |
$2.664726$ |
$-371157741803156856064/32988222759375$ |
$1.02121$ |
$4.91656$ |
$[0, -1, 0, -9229436, 10796127465]$ |
\(y^2=x^3-x^2-9229436x+10796127465\) |
30.2.0.a.1 |
$[(3604, 155987)]$ |
188760.u1 |
188760cv1 |
188760.u |
188760cv |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{5} \cdot 11^{10} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30$ |
$2$ |
$0$ |
$43.74639267$ |
$1$ |
|
$0$ |
$87816960$ |
$3.863674$ |
$-371157741803156856064/32988222759375$ |
$1.02121$ |
$6.10088$ |
$[0, -1, 0, -1116761796, -14365178608779]$ |
\(y^2=x^3-x^2-1116761796x-14365178608779\) |
30.2.0.a.1 |
$[(79854317128319911030/45369603, 77844814658845950850546850477/45369603)]$ |
377520.eg1 |
377520eg1 |
377520.eg |
377520eg |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{5} \cdot 11^{10} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$175633920$ |
$3.863674$ |
$-371157741803156856064/32988222759375$ |
$1.02121$ |
$5.77157$ |
$[0, 1, 0, -1116761796, 14365178608779]$ |
\(y^2=x^3+x^2-1116761796x+14365178608779\) |
30.2.0.a.1 |
$[]$ |
377520.fj1 |
377520fj1 |
377520.fj |
377520fj |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{5} \cdot 11^{4} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30$ |
$2$ |
$0$ |
$6.330727664$ |
$1$ |
|
$0$ |
$15966720$ |
$2.664726$ |
$-371157741803156856064/32988222759375$ |
$1.02121$ |
$4.65117$ |
$[0, 1, 0, -9229436, -10796127465]$ |
\(y^2=x^3+x^2-9229436x-10796127465\) |
30.2.0.a.1 |
$[(289981/5, 150149571/5)]$ |