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 |
29944.a2 |
29944a2 |
29944.a |
29944a |
$2$ |
$2$ |
\( 2^{3} \cdot 19 \cdot 197 \) |
\( - 2^{8} \cdot 19 \cdot 197^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$14972$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6016$ |
$0.267889$ |
$19600688/737371$ |
$0.76502$ |
$2.57059$ |
$[0, -1, 0, 36, 644]$ |
\(y^2=x^3-x^2+36x+644\) |
2.3.0.a.1, 38.6.0.b.1, 788.6.0.?, 14972.12.0.? |
$[]$ |
59888.a2 |
59888a2 |
59888.a |
59888a |
$2$ |
$2$ |
\( 2^{4} \cdot 19 \cdot 197 \) |
\( - 2^{8} \cdot 19 \cdot 197^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$14972$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12032$ |
$0.267889$ |
$19600688/737371$ |
$0.76502$ |
$2.40861$ |
$[0, 1, 0, 36, -644]$ |
\(y^2=x^3+x^2+36x-644\) |
2.3.0.a.1, 38.6.0.b.1, 788.6.0.?, 14972.12.0.? |
$[]$ |
239552.c2 |
239552c2 |
239552.c |
239552c |
$2$ |
$2$ |
\( 2^{6} \cdot 19 \cdot 197 \) |
\( - 2^{14} \cdot 19 \cdot 197^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$14972$ |
$12$ |
$0$ |
$6.553446441$ |
$1$ |
|
$3$ |
$96256$ |
$0.614463$ |
$19600688/737371$ |
$0.76502$ |
$2.47480$ |
$[0, 1, 0, 143, 5295]$ |
\(y^2=x^3+x^2+143x+5295\) |
2.3.0.a.1, 38.6.0.b.1, 788.6.0.?, 14972.12.0.? |
$[(19685, 2761940)]$ |
239552.k2 |
239552k2 |
239552.k |
239552k |
$2$ |
$2$ |
\( 2^{6} \cdot 19 \cdot 197 \) |
\( - 2^{14} \cdot 19 \cdot 197^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$14972$ |
$12$ |
$0$ |
$24.34898356$ |
$1$ |
|
$1$ |
$96256$ |
$0.614463$ |
$19600688/737371$ |
$0.76502$ |
$2.47480$ |
$[0, -1, 0, 143, -5295]$ |
\(y^2=x^3-x^2+143x-5295\) |
2.3.0.a.1, 38.6.0.b.1, 788.6.0.?, 14972.12.0.? |
$[(20413678336/36285, 966321813646259/36285)]$ |
269496.b2 |
269496b2 |
269496.b |
269496b |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 19 \cdot 197 \) |
\( - 2^{8} \cdot 3^{6} \cdot 19 \cdot 197^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$14972$ |
$12$ |
$0$ |
$8.771471828$ |
$1$ |
|
$1$ |
$144384$ |
$0.817196$ |
$19600688/737371$ |
$0.76502$ |
$2.64604$ |
$[0, 0, 0, 321, -17710]$ |
\(y^2=x^3+321x-17710\) |
2.3.0.a.1, 38.6.0.b.1, 788.6.0.?, 14972.12.0.? |
$[(8671/15, 768844/15)]$ |