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.n1 |
379050n1 |
379050.n |
379050n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{11} \cdot 3^{5} \cdot 5^{8} \cdot 7^{3} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$22.86589412$ |
$1$ |
|
$0$ |
$4989600$ |
$1.899433$ |
$3156941520625/170698752$ |
$0.98906$ |
$3.70132$ |
$[1, 1, 0, -159075, -23317875]$ |
\(y^2+xy=x^3+x^2-159075x-23317875\) |
168.2.0.? |
$[(-7153479541/6062, 147510778974999/6062)]$ |
379050.bq1 |
379050bq1 |
379050.bq |
379050bq |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{11} \cdot 3^{5} \cdot 5^{2} \cdot 7^{3} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18960480$ |
$2.566933$ |
$3156941520625/170698752$ |
$0.98906$ |
$4.32489$ |
$[1, 1, 0, -2297050, 1274904340]$ |
\(y^2+xy=x^3+x^2-2297050x+1274904340\) |
168.2.0.? |
$[]$ |
379050.ig1 |
379050ig1 |
379050.ig |
379050ig |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{11} \cdot 3^{5} \cdot 5^{8} \cdot 7^{3} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$94802400$ |
$3.371655$ |
$3156941520625/170698752$ |
$0.98906$ |
$5.07664$ |
$[1, 0, 0, -57426263, 159477895017]$ |
\(y^2+xy=x^3-57426263x+159477895017\) |
168.2.0.? |
$[]$ |
379050.ji1 |
379050ji1 |
379050.ji |
379050ji |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2^{11} \cdot 3^{5} \cdot 5^{2} \cdot 7^{3} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$0.159888678$ |
$1$ |
|
$10$ |
$997920$ |
$1.094715$ |
$3156941520625/170698752$ |
$0.98906$ |
$2.94956$ |
$[1, 0, 0, -6363, -186543]$ |
\(y^2+xy=x^3-6363x-186543\) |
168.2.0.? |
$[(-42, 105)]$ |