| 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 |
| 10766.a1 |
10766d1 |
10766.a |
10766d |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 769 \) |
\( 2^{6} \cdot 7 \cdot 769 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$21532$ |
$2$ |
$0$ |
$0.501098868$ |
$1$ |
|
$16$ |
$4512$ |
$-0.241731$ |
$781229961/344512$ |
$0.76925$ |
$2.20552$ |
$[1, -1, 0, -19, -11]$ |
\(y^2+xy=x^3-x^2-19x-11\) |
21532.2.0.? |
$[(-2, 5), (6, 5)]$ |
| 10766.b1 |
10766c1 |
10766.b |
10766c |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 769 \) |
\( 2^{2} \cdot 7^{5} \cdot 769 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$21532$ |
$2$ |
$0$ |
$0.192290851$ |
$1$ |
|
$20$ |
$3680$ |
$0.218792$ |
$558051585337/51698332$ |
$0.82374$ |
$2.91332$ |
$[1, 1, 0, -171, 721]$ |
\(y^2+xy=x^3+x^2-171x+721\) |
21532.2.0.? |
$[(16, 41), (-12, 41)]$ |
| 10766.c1 |
10766a1 |
10766.c |
10766a |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 769 \) |
\( 2^{2} \cdot 7 \cdot 769 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$21532$ |
$2$ |
$0$ |
$0.369436867$ |
$1$ |
|
$4$ |
$2592$ |
$0.177131$ |
$52586856519625/21532$ |
$0.86061$ |
$3.40295$ |
$[1, 1, 0, -780, 8068]$ |
\(y^2+xy=x^3+x^2-780x+8068\) |
21532.2.0.? |
$[(16, -6)]$ |
| 10766.d1 |
10766b2 |
10766.d |
10766b |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 769 \) |
\( 2^{7} \cdot 7^{2} \cdot 769^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.6 |
2B |
$43064$ |
$12$ |
$0$ |
$4.760073602$ |
$1$ |
|
$0$ |
$5040$ |
$0.555124$ |
$20537058291625/3709016192$ |
$0.85767$ |
$3.30168$ |
$[1, 1, 0, -570, -4588]$ |
\(y^2+xy=x^3+x^2-570x-4588\) |
2.3.0.a.1, 8.6.0.b.1, 21532.6.0.?, 43064.12.0.? |
$[(-211/4, 2291/4)]$ |
| 10766.d2 |
10766b1 |
10766.d |
10766b |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 769 \) |
\( - 2^{14} \cdot 7 \cdot 769 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.1 |
2B |
$43064$ |
$12$ |
$0$ |
$9.520147205$ |
$1$ |
|
$1$ |
$2520$ |
$0.208550$ |
$37092620375/88195072$ |
$0.82451$ |
$2.74348$ |
$[1, 1, 0, 70, -364]$ |
\(y^2+xy=x^3+x^2+70x-364\) |
2.3.0.a.1, 8.6.0.c.1, 10766.6.0.?, 43064.12.0.? |
$[(10225/24, 1022819/24)]$ |
| 10766.e1 |
10766h1 |
10766.e |
10766h |
$2$ |
$7$ |
\( 2 \cdot 7 \cdot 769 \) |
\( - 2^{21} \cdot 7^{7} \cdot 769 \) |
$1$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$43064$ |
$96$ |
$2$ |
$3.091150269$ |
$1$ |
|
$12$ |
$204624$ |
$1.921877$ |
$-10096027515422913423969/1328135939293184$ |
$0.98258$ |
$5.45733$ |
$[1, -1, 1, -450273, 116420913]$ |
\(y^2+xy+y=x^3-x^2-450273x+116420913\) |
7.48.0-7.a.1.2, 43064.96.2.? |
$[(119, 7972)]$ |
| 10766.e2 |
10766h2 |
10766.e |
10766h |
$2$ |
$7$ |
\( 2 \cdot 7 \cdot 769 \) |
\( - 2^{3} \cdot 7 \cdot 769^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.5 |
7B.1.3 |
$43064$ |
$96$ |
$2$ |
$21.63805188$ |
$1$ |
|
$0$ |
$1432368$ |
$2.894833$ |
$2656605299081089600290591/8905789086154159331384$ |
$1.01980$ |
$6.22633$ |
$[1, -1, 1, 2885367, -4130671167]$ |
\(y^2+xy+y=x^3-x^2+2885367x-4130671167\) |
7.48.0-7.a.2.2, 43064.96.2.? |
$[(2386419511/330, 116510088021719/330)]$ |
| 10766.f1 |
10766e1 |
10766.f |
10766e |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 769 \) |
\( - 2^{5} \cdot 7 \cdot 769 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$43064$ |
$2$ |
$0$ |
$0.242593074$ |
$1$ |
|
$6$ |
$2320$ |
$-0.041537$ |
$-351447414193/172256$ |
$0.81709$ |
$2.86361$ |
$[1, 1, 1, -147, 625]$ |
\(y^2+xy+y=x^3+x^2-147x+625\) |
43064.2.0.? |
$[(7, -6)]$ |
| 10766.g1 |
10766g1 |
10766.g |
10766g |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 769 \) |
\( - 2^{11} \cdot 7^{3} \cdot 769 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$43064$ |
$2$ |
$0$ |
$0.229813918$ |
$1$ |
|
$8$ |
$4752$ |
$0.355004$ |
$4733169839/540194816$ |
$0.87257$ |
$2.96819$ |
$[1, 1, 1, 35, -1101]$ |
\(y^2+xy+y=x^3+x^2+35x-1101\) |
43064.2.0.? |
$[(23, 100)]$ |
| 10766.h1 |
10766f2 |
10766.h |
10766f |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 769 \) |
\( 2^{3} \cdot 7^{8} \cdot 769^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.6 |
2B |
$6152$ |
$12$ |
$0$ |
$1.869574122$ |
$1$ |
|
$0$ |
$31680$ |
$1.431458$ |
$6315385451217127713/27272627873288$ |
$0.97640$ |
$4.66273$ |
$[1, -1, 1, -38509, -2888115]$ |
\(y^2+xy+y=x^3-x^2-38509x-2888115\) |
2.3.0.a.1, 8.6.0.b.1, 3076.6.0.?, 6152.12.0.? |
$[(-465/2, 1147/2)]$ |
| 10766.h2 |
10766f1 |
10766.h |
10766f |
$2$ |
$2$ |
\( 2 \cdot 7 \cdot 769 \) |
\( 2^{6} \cdot 7^{4} \cdot 769 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.1 |
2B |
$6152$ |
$12$ |
$0$ |
$3.739148245$ |
$1$ |
|
$3$ |
$15840$ |
$1.084885$ |
$6295726008614605473/118167616$ |
$0.97629$ |
$4.66240$ |
$[1, -1, 1, -38469, -2894467]$ |
\(y^2+xy+y=x^3-x^2-38469x-2894467\) |
2.3.0.a.1, 8.6.0.c.1, 1538.6.0.?, 6152.12.0.? |
$[(399, 6520)]$ |
