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 |
95438.c2 |
95438a1 |
95438.c |
95438a |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 17 \cdot 401 \) |
\( - 2^{62} \cdot 7 \cdot 17^{3} \cdot 401 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.1 |
2B |
$381752$ |
$12$ |
$0$ |
$1$ |
$676$ |
$2, 13$ |
$1$ |
$44675712$ |
$3.849743$ |
$-40515994932002518288114937389033/63598798037754255259992064$ |
$1.01642$ |
$6.34750$ |
$[1, 1, 0, -715540574, -7377432974860]$ |
\(y^2+xy=x^3+x^2-715540574x-7377432974860\) |
2.3.0.a.1, 8.6.0.c.1, 95438.6.0.?, 381752.12.0.? |
$[]$ |
194766.c4 |
194766bj4 |
194766.c |
194766bj |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 227 \) |
\( - 2^{9} \cdot 3^{8} \cdot 11^{28} \cdot 13^{3} \cdot 227 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$259688$ |
$48$ |
$0$ |
$1$ |
$676$ |
$2, 13$ |
$0$ |
$29912924160$ |
$6.619637$ |
$118589681838996168234945119730883330565543/241596755279750488797048156377511270440448$ |
$1.08064$ |
$8.43566$ |
$[1, 1, 0, 1023546860659, 23645145521290526301]$ |
\(y^2+xy=x^3+x^2+1023546860659x+23645145521290526301\) |
2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 104.12.0.?, 908.12.0.?, $\ldots$ |
$[]$ |
212982.n4 |
212982l4 |
212982.n |
212982l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11 \cdot 461 \) |
\( - 2 \cdot 3^{8} \cdot 7^{28} \cdot 11^{3} \cdot 461 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.7 |
2B |
$283976$ |
$48$ |
$0$ |
$1$ |
$676$ |
$2, 13$ |
$0$ |
$1540546560$ |
$5.126854$ |
$2645085064340206223897295030674834447/3703600505356598857706589319974702$ |
$1.02936$ |
$6.86416$ |
$[1, 1, 1, 28811905193, -2242712849580277]$ |
\(y^2+xy+y=x^3+x^2+28811905193x-2242712849580277\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 56.24.0-56.y.1.6, 20284.12.0.?, $\ldots$ |
$[]$ |