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 |
70.a1 |
70a3 |
70.a |
70a |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \) |
\( 2 \cdot 5^{2} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.58 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16$ |
$0.038988$ |
$2121328796049/120050$ |
$1.01959$ |
$6.68073$ |
$[1, -1, 1, -268, -1619]$ |
\(y^2+xy+y=x^3-x^2-268x-1619\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.k.1.1, 56.48.0-56.v.1.8 |
$[]$ |
70.a2 |
70a4 |
70.a |
70a |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \) |
\( 2 \cdot 5^{8} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.103 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16$ |
$0.038988$ |
$74565301329/5468750$ |
$0.99962$ |
$5.89266$ |
$[1, -1, 1, -88, 317]$ |
\(y^2+xy+y=x^3-x^2-88x+317\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 28.12.0-4.c.1.1, 56.48.0-56.bp.1.3 |
$[]$ |
70.a3 |
70a2 |
70.a |
70a |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \) |
\( 2^{2} \cdot 5^{4} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.1 |
2Cs |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$8$ |
$-0.307586$ |
$611960049/122500$ |
$1.02632$ |
$4.76220$ |
$[1, -1, 1, -18, -19]$ |
\(y^2+xy+y=x^3-x^2-18x-19\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 28.24.0-28.b.1.1, 56.48.0-56.d.1.3 |
$[]$ |
70.a4 |
70a1 |
70.a |
70a |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \) |
\( - 2^{4} \cdot 5^{2} \cdot 7 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.50 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$4$ |
$-0.654160$ |
$1367631/2800$ |
$1.00023$ |
$3.54476$ |
$[1, -1, 1, 2, -3]$ |
\(y^2+xy+y=x^3-x^2+2x-3\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, $\ldots$ |
$[]$ |