| 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 |
| 4114.a1 |
4114b4 |
4114.a |
4114b |
$4$ |
$6$ |
\( 2 \cdot 11^{2} \cdot 17 \) |
\( 2 \cdot 11^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$1.270167012$ |
$1$ |
|
$4$ |
$12960$ |
$1.378435$ |
$159661140625/48275138$ |
$1.06848$ |
$4.82852$ |
$[1, 0, 1, -13676, 424224]$ |
\(y^2+xy+y=x^3-13676x+424224\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$ |
$[(-58, 1040)]$ |
| 4114.a2 |
4114b3 |
4114.a |
4114b |
$4$ |
$6$ |
\( 2 \cdot 11^{2} \cdot 17 \) |
\( 2^{2} \cdot 11^{6} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$0.635083506$ |
$1$ |
|
$7$ |
$6480$ |
$1.031862$ |
$120920208625/19652$ |
$0.98564$ |
$4.79513$ |
$[1, 0, 1, -12466, 534576]$ |
\(y^2+xy+y=x^3-12466x+534576\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$ |
$[(63, -49)]$ |
| 4114.a3 |
4114b2 |
4114.a |
4114b |
$4$ |
$6$ |
\( 2 \cdot 11^{2} \cdot 17 \) |
\( 2^{3} \cdot 11^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$3.810501037$ |
$1$ |
|
$0$ |
$4320$ |
$0.829129$ |
$8805624625/2312$ |
$0.96590$ |
$4.48034$ |
$[1, 0, 1, -5206, -144960]$ |
\(y^2+xy+y=x^3-5206x-144960\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$ |
$[(-165/2, 175/2)]$ |
| 4114.a4 |
4114b1 |
4114.a |
4114b |
$4$ |
$6$ |
\( 2 \cdot 11^{2} \cdot 17 \) |
\( 2^{6} \cdot 11^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$1.905250518$ |
$1$ |
|
$3$ |
$2160$ |
$0.482555$ |
$3048625/1088$ |
$0.90010$ |
$3.52284$ |
$[1, 0, 1, -366, -1696]$ |
\(y^2+xy+y=x^3-366x-1696\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$ |
$[(-11, 37)]$ |
| 4114.b1 |
4114a1 |
4114.b |
4114a |
$1$ |
$1$ |
\( 2 \cdot 11^{2} \cdot 17 \) |
\( - 2 \cdot 11^{8} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2640$ |
$0.571948$ |
$-297/34$ |
$1.09503$ |
$3.62518$ |
$[1, -1, 0, -83, -4097]$ |
\(y^2+xy=x^3-x^2-83x-4097\) |
136.2.0.? |
$[]$ |
| 4114.c1 |
4114c1 |
4114.c |
4114c |
$2$ |
$2$ |
\( 2 \cdot 11^{2} \cdot 17 \) |
\( 2^{10} \cdot 11^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4800$ |
$1.102085$ |
$3687953625/2106368$ |
$0.99556$ |
$4.37576$ |
$[1, -1, 1, -3895, 11663]$ |
\(y^2+xy+y=x^3-x^2-3895x+11663\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[]$ |
| 4114.c2 |
4114c2 |
4114.c |
4114c |
$2$ |
$2$ |
\( 2 \cdot 11^{2} \cdot 17 \) |
\( - 2^{5} \cdot 11^{10} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9600$ |
$1.448658$ |
$230910510375/135399968$ |
$1.08077$ |
$4.87286$ |
$[1, -1, 1, 15465, 81359]$ |
\(y^2+xy+y=x^3-x^2+15465x+81359\) |
2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? |
$[]$ |
| 4114.d1 |
4114d1 |
4114.d |
4114d |
$1$ |
$1$ |
\( 2 \cdot 11^{2} \cdot 17 \) |
\( - 2 \cdot 11^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$240$ |
$-0.627000$ |
$-297/34$ |
$1.09503$ |
$1.89637$ |
$[1, -1, 1, -1, 3]$ |
\(y^2+xy+y=x^3-x^2-x+3\) |
136.2.0.? |
$[]$ |
