| 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 |
| 156.a1 |
156a2 |
156.a |
156a |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 13 \) |
\( 2^{8} \cdot 3 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.294828824$ |
$1$ |
|
$9$ |
$24$ |
$-0.292526$ |
$3631696/507$ |
$0.85077$ |
$4.08930$ |
$[0, -1, 0, -20, -24]$ |
\(y^2=x^3-x^2-20x-24\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(-2, 2)]$ |
| 156.a2 |
156a1 |
156.a |
156a |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.147414412$ |
$1$ |
|
$13$ |
$12$ |
$-0.639100$ |
$1048576/117$ |
$1.06619$ |
$3.29426$ |
$[0, -1, 0, -5, 6]$ |
\(y^2=x^3-x^2-5x+6\) |
2.3.0.a.1, 12.6.0.b.1, 26.6.0.b.1, 156.12.0.? |
$[(1, 1)]$ |
| 156.b1 |
156b4 |
156.b |
156b |
$4$ |
$6$ |
\( 2^{2} \cdot 3 \cdot 13 \) |
\( 2^{8} \cdot 3 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$156$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$72$ |
$0.579458$ |
$181037698000/14480427$ |
$0.98201$ |
$6.23130$ |
$[0, 1, 0, -748, -7564]$ |
\(y^2=x^3+x^2-748x-7564\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 12.48.0-12.h.1.5, 52.6.0.c.1, $\ldots$ |
$[]$ |
| 156.b2 |
156b3 |
156.b |
156b |
$4$ |
$6$ |
\( 2^{2} \cdot 3 \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$156$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$36$ |
$0.232885$ |
$2725888000000/19773$ |
$1.18802$ |
$6.21927$ |
$[0, 1, 0, -733, -7888]$ |
\(y^2=x^3+x^2-733x-7888\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 12.48.0-12.i.1.6, 26.6.0.b.1, $\ldots$ |
$[]$ |
| 156.b3 |
156b2 |
156.b |
156b |
$4$ |
$6$ |
\( 2^{2} \cdot 3 \cdot 13 \) |
\( 2^{8} \cdot 3^{3} \cdot 13^{2} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$156$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$24$ |
$0.030152$ |
$1409938000/4563$ |
$0.93342$ |
$5.26985$ |
$[0, 1, 0, -148, 644]$ |
\(y^2=x^3+x^2-148x+644\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 12.48.0-12.h.1.7, 52.6.0.c.1, $\ldots$ |
$[]$ |
| 156.b4 |
156b1 |
156.b |
156b |
$4$ |
$6$ |
\( 2^{2} \cdot 3 \cdot 13 \) |
\( 2^{4} \cdot 3^{6} \cdot 13 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$156$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$12$ |
$-0.316421$ |
$16384000/9477$ |
$1.48887$ |
$3.83861$ |
$[0, 1, 0, -13, -4]$ |
\(y^2=x^3+x^2-13x-4\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 12.48.0-12.i.1.8, 26.6.0.b.1, $\ldots$ |
$[]$ |
