| 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 |
| 167310.j1 |
167310fm2 |
167310.j |
167310fm |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{5} \cdot 3^{9} \cdot 5^{3} \cdot 11^{4} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$4423680$ |
$2.424740$ |
$1073361235887380439/58564000$ |
$1.14300$ |
$4.91367$ |
$[1, -1, 0, -7487115, -7883458075]$ |
\(y^2+xy=x^3-x^2-7487115x-7883458075\) |
2.3.0.a.1, 40.6.0.e.1, 156.6.0.?, 1560.12.0.? |
$[ ]$ |
| 167310.z1 |
167310fr2 |
167310.z |
167310fr |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{5} \cdot 3^{3} \cdot 5^{3} \cdot 11^{4} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$19169280$ |
$3.157909$ |
$1073361235887380439/58564000$ |
$1.14300$ |
$5.64516$ |
$[1, -1, 0, -140591385, 641667358541]$ |
\(y^2+xy=x^3-x^2-140591385x+641667358541\) |
2.3.0.a.1, 40.6.0.e.1, 156.6.0.?, 1560.12.0.? |
$[ ]$ |
| 167310.ex1 |
167310ca2 |
167310.ex |
167310ca |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{5} \cdot 3^{3} \cdot 5^{3} \cdot 11^{4} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$0.316960857$ |
$1$ |
|
$12$ |
$1474560$ |
$1.875435$ |
$1073361235887380439/58564000$ |
$1.14300$ |
$4.36563$ |
$[1, -1, 1, -831902, 292257229]$ |
\(y^2+xy+y=x^3-x^2-831902x+292257229\) |
2.3.0.a.1, 40.6.0.e.1, 156.6.0.?, 1560.12.0.? |
$[(557, 931)]$ |
| 167310.fm1 |
167310ch2 |
167310.fm |
167310ch |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13^{2} \) |
\( 2^{5} \cdot 3^{9} \cdot 5^{3} \cdot 11^{4} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$9.950559926$ |
$1$ |
|
$0$ |
$57507840$ |
$3.707214$ |
$1073361235887380439/58564000$ |
$1.14300$ |
$6.19320$ |
$[1, -1, 1, -1265322467, -17323753358141]$ |
\(y^2+xy+y=x^3-x^2-1265322467x-17323753358141\) |
2.3.0.a.1, 40.6.0.e.1, 156.6.0.?, 1560.12.0.? |
$[(989173/3, 922557532/3)]$ |
