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 |
303450.ba1 |
303450ba1 |
303450.ba |
303450ba |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{5} \cdot 5^{9} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1.483294676$ |
$1$ |
|
$4$ |
$1612800$ |
$1.460407$ |
$-34087423877/27216$ |
$1.11185$ |
$3.51779$ |
$[1, 1, 0, -55825, 5057125]$ |
\(y^2+xy=x^3+x^2-55825x+5057125\) |
420.2.0.? |
$[(135, -5)]$ |
303450.ch1 |
303450ch1 |
303450.ch |
303450ch |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{5} \cdot 5^{9} \cdot 7 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27417600$ |
$2.877014$ |
$-34087423877/27216$ |
$1.11185$ |
$4.86448$ |
$[1, 0, 1, -16133576, 24958589798]$ |
\(y^2+xy+y=x^3-16133576x+24958589798\) |
420.2.0.? |
$[]$ |
303450.fi1 |
303450fi1 |
303450.fi |
303450fi |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{5} \cdot 5^{3} \cdot 7 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1.214378887$ |
$1$ |
|
$4$ |
$5483520$ |
$2.072296$ |
$-34087423877/27216$ |
$1.11185$ |
$4.09948$ |
$[1, 1, 1, -645343, 199410581]$ |
\(y^2+xy+y=x^3+x^2-645343x+199410581\) |
420.2.0.? |
$[(409, 1818)]$ |
303450.fq1 |
303450fq1 |
303450.fq |
303450fq |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{5} \cdot 5^{3} \cdot 7 \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$0.392391206$ |
$1$ |
|
$16$ |
$322560$ |
$0.655688$ |
$-34087423877/27216$ |
$1.11185$ |
$2.75278$ |
$[1, 0, 0, -2233, 40457]$ |
\(y^2+xy=x^3-2233x+40457\) |
420.2.0.? |
$[(32, 29), (28, -5)]$ |