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 |
83391.b1 |
83391k1 |
83391.b |
83391k |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{3} \cdot 7 \cdot 11^{5} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8778$ |
$2$ |
$0$ |
$0.354279275$ |
$1$ |
|
$4$ |
$134400$ |
$0.871860$ |
$81520685056/30438639$ |
$0.90467$ |
$2.99678$ |
$[0, -1, 1, -1716, -15730]$ |
\(y^2+y=x^3-x^2-1716x-15730\) |
8778.2.0.? |
$[(-25, 104)]$ |
83391.s1 |
83391t1 |
83391.s |
83391t |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{3} \cdot 7 \cdot 11^{5} \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8778$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2553600$ |
$2.344078$ |
$81520685056/30438639$ |
$0.90467$ |
$4.55588$ |
$[0, 1, 1, -619596, 111607679]$ |
\(y^2+y=x^3+x^2-619596x+111607679\) |
8778.2.0.? |
$[]$ |
250173.c1 |
250173c1 |
250173.c |
250173c |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{9} \cdot 7 \cdot 11^{5} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8778$ |
$2$ |
$0$ |
$5.528476883$ |
$1$ |
|
$0$ |
$20428800$ |
$2.893383$ |
$81520685056/30438639$ |
$0.90467$ |
$4.68352$ |
$[0, 0, 1, -5576367, -3018983706]$ |
\(y^2+y=x^3-5576367x-3018983706\) |
8778.2.0.? |
$[(-43681/5, 4660628/5)]$ |
250173.bo1 |
250173bo1 |
250173.bo |
250173bo |
$1$ |
$1$ |
\( 3^{2} \cdot 7 \cdot 11 \cdot 19^{2} \) |
\( 3^{9} \cdot 7 \cdot 11^{5} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8778$ |
$2$ |
$0$ |
$4.188406183$ |
$1$ |
|
$0$ |
$1075200$ |
$1.421165$ |
$81520685056/30438639$ |
$0.90467$ |
$3.26222$ |
$[0, 0, 1, -15447, 440149]$ |
\(y^2+y=x^3-15447x+440149\) |
8778.2.0.? |
$[(121/2, 185/2)]$ |