| 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 |
Manin constant |
| 152421.d1 |
152421c2 |
152421.d |
152421c |
$2$ |
$2$ |
\( 3 \cdot 23 \cdot 47^{2} \) |
\( 3^{2} \cdot 23^{4} \cdot 47^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$25944$ |
$48$ |
$1$ |
$2.335811913$ |
$1$ |
|
$6$ |
$156672$ |
$0.886082$ |
$5592359375/2518569$ |
$0.96770$ |
$2.84850$ |
$[1, 0, 0, -1738, 12989]$ |
\(y^2+xy=x^3-1738x+12989\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bt.1, 184.12.0.?, 188.12.0.?, $\ldots$ |
$[(-4, 143), (-44, 91)]$ |
$1$ |
| 152421.e1 |
152421d2 |
152421.e |
152421d |
$2$ |
$2$ |
\( 3 \cdot 23 \cdot 47^{2} \) |
\( 3^{2} \cdot 23^{4} \cdot 47^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$25944$ |
$48$ |
$1$ |
$15.28826786$ |
$1$ |
|
$0$ |
$7363584$ |
$2.811157$ |
$5592359375/2518569$ |
$0.96770$ |
$4.78415$ |
$[1, 0, 0, -3839288, -1363914039]$ |
\(y^2+xy=x^3-3839288x-1363914039\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bt.1, 184.12.0.?, 188.12.0.?, $\ldots$ |
$[(6185848/37, 13622499523/37)]$ |
$1$ |
| 457263.j1 |
457263j2 |
457263.j |
457263j |
$2$ |
$2$ |
\( 3^{2} \cdot 23 \cdot 47^{2} \) |
\( 3^{8} \cdot 23^{4} \cdot 47^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$25944$ |
$48$ |
$1$ |
$6.981431602$ |
$1$ |
|
$0$ |
$1253376$ |
$1.435389$ |
$5592359375/2518569$ |
$0.96770$ |
$3.11415$ |
$[1, -1, 0, -15642, -350703]$ |
\(y^2+xy=x^3-x^2-15642x-350703\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bt.1, 184.12.0.?, 188.12.0.?, $\ldots$ |
$[(2229/4, 21093/4)]$ |
$1$ |
| 457263.k1 |
457263k2 |
457263.k |
457263k |
$2$ |
$2$ |
\( 3^{2} \cdot 23 \cdot 47^{2} \) |
\( 3^{8} \cdot 23^{4} \cdot 47^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$25944$ |
$48$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$58908672$ |
$3.360462$ |
$5592359375/2518569$ |
$0.96770$ |
$4.88664$ |
$[1, -1, 0, -34553592, 36825679053]$ |
\(y^2+xy=x^3-x^2-34553592x+36825679053\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bt.1, 184.12.0.?, 188.12.0.?, $\ldots$ |
$[ ]$ |
$1$ |