| 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 |
| 10001.a1 |
10001a2 |
10001.a |
10001a |
$2$ |
$2$ |
\( 73 \cdot 137 \) |
\( 73 \cdot 137^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$40004$ |
$12$ |
$0$ |
$3.470942657$ |
$1$ |
|
$0$ |
$46656$ |
$1.596895$ |
$17374804109361438921/482665506294457$ |
$0.96706$ |
$4.80993$ |
$[1, -1, 0, -53959, 4720704]$ |
\(y^2+xy=x^3-x^2-53959x+4720704\) |
2.3.0.a.1, 146.6.0.?, 548.6.0.?, 40004.12.0.? |
$[(2437/4, 3757/4)]$ |
| 90009.b1 |
90009b2 |
90009.b |
90009b |
$2$ |
$2$ |
\( 3^{2} \cdot 73 \cdot 137 \) |
\( 3^{6} \cdot 73 \cdot 137^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40004$ |
$12$ |
$0$ |
$9.881646623$ |
$1$ |
|
$0$ |
$1492992$ |
$2.146202$ |
$17374804109361438921/482665506294457$ |
$0.96706$ |
$4.46132$ |
$[1, -1, 1, -485633, -126973376]$ |
\(y^2+xy+y=x^3-x^2-485633x-126973376\) |
2.3.0.a.1, 146.6.0.?, 548.6.0.?, 40004.12.0.? |
$[(-63254/13, 3707855/13)]$ |
| 160016.a1 |
160016a2 |
160016.a |
160016a |
$2$ |
$2$ |
\( 2^{4} \cdot 73 \cdot 137 \) |
\( 2^{12} \cdot 73 \cdot 137^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40004$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2985984$ |
$2.290043$ |
$17374804109361438921/482665506294457$ |
$0.96706$ |
$4.39115$ |
$[0, 0, 0, -863347, -301261710]$ |
\(y^2=x^3-863347x-301261710\) |
2.3.0.a.1, 146.6.0.?, 548.6.0.?, 40004.12.0.? |
$[]$ |
| 250025.a1 |
250025a2 |
250025.a |
250025a |
$2$ |
$2$ |
\( 5^{2} \cdot 73 \cdot 137 \) |
\( 5^{6} \cdot 73 \cdot 137^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40004$ |
$12$ |
$0$ |
$21.23706288$ |
$1$ |
|
$0$ |
$3732480$ |
$2.401615$ |
$17374804109361438921/482665506294457$ |
$0.96706$ |
$4.34120$ |
$[1, -1, 1, -1348980, 588739022]$ |
\(y^2+xy+y=x^3-x^2-1348980x+588739022\) |
2.3.0.a.1, 146.6.0.?, 548.6.0.?, 40004.12.0.? |
$[(987251299/1510, 31122816796487/1510)]$ |
| 490049.c1 |
490049c2 |
490049.c |
490049c |
$2$ |
$2$ |
\( 7^{2} \cdot 73 \cdot 137 \) |
\( 7^{6} \cdot 73 \cdot 137^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$40004$ |
$12$ |
$0$ |
$42.76113653$ |
$1$ |
|
$0$ |
$13436928$ |
$2.569851$ |
$17374804109361438921/482665506294457$ |
$0.96706$ |
$4.27232$ |
$[1, -1, 0, -2644000, -1613913477]$ |
\(y^2+xy=x^3-x^2-2644000x-1613913477\) |
2.3.0.a.1, 146.6.0.?, 548.6.0.?, 40004.12.0.? |
$[(223727922956133776181/31581308, 3342792193217536107499038321051/31581308)]$ |
