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 |
379050.q1 |
379050q1 |
379050.q |
379050q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 3^{8} \cdot 5^{9} \cdot 7 \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$35993600$ |
$3.046936$ |
$389017/91854$ |
$0.95632$ |
$4.66042$ |
$[1, 1, 0, 1303925, 11562478375]$ |
\(y^2+xy=x^3+x^2+1303925x+11562478375\) |
5320.2.0.? |
$[]$ |
379050.bw1 |
379050bw1 |
379050.bw |
379050bw |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 3^{8} \cdot 5^{3} \cdot 7 \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$1.087378471$ |
$1$ |
|
$4$ |
$378880$ |
$0.769998$ |
$389017/91854$ |
$0.95632$ |
$2.53334$ |
$[1, 1, 0, 145, -13425]$ |
\(y^2+xy=x^3+x^2+145x-13425\) |
5320.2.0.? |
$[(245, 3725)]$ |
379050.il1 |
379050il1 |
379050.il |
379050il |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 3^{8} \cdot 5^{9} \cdot 7 \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1894400$ |
$1.574717$ |
$389017/91854$ |
$0.95632$ |
$3.28510$ |
$[1, 0, 0, 3612, -1685358]$ |
\(y^2+xy=x^3+3612x-1685358\) |
5320.2.0.? |
$[]$ |
379050.js1 |
379050js1 |
379050.js |
379050js |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( - 2 \cdot 3^{8} \cdot 5^{3} \cdot 7 \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$5320$ |
$2$ |
$0$ |
$2.915841096$ |
$1$ |
|
$0$ |
$7198720$ |
$2.242218$ |
$389017/91854$ |
$0.95632$ |
$3.90867$ |
$[1, 0, 0, 52157, 92499827]$ |
\(y^2+xy=x^3+52157x+92499827\) |
5320.2.0.? |
$[(-6379/4, 197951/4)]$ |