| 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 |
| 616.a1 |
616c2 |
616.a |
616c |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$128$ |
$0.065713$ |
$1354435492/539$ |
$0.87282$ |
$4.35265$ |
$[0, 1, 0, -232, -1440]$ |
\(y^2=x^3+x^2-232x-1440\) |
2.3.0.a.1, 28.6.0.c.1, 44.6.0.a.1, 308.12.0.? |
$[]$ |
| 616.a2 |
616c1 |
616.a |
616c |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 11 \) |
\( - 2^{8} \cdot 7 \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$64$ |
$-0.280861$ |
$-810448/847$ |
$0.75673$ |
$3.14206$ |
$[0, 1, 0, -12, -32]$ |
\(y^2=x^3+x^2-12x-32\) |
2.3.0.a.1, 14.6.0.b.1, 44.6.0.b.1, 308.12.0.? |
$[]$ |
| 616.b1 |
616d1 |
616.b |
616d |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 11 \) |
\( - 2^{8} \cdot 7^{2} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$0.042718865$ |
$1$ |
|
$12$ |
$96$ |
$0.064781$ |
$-1024/65219$ |
$1.07918$ |
$3.74973$ |
$[0, -1, 0, -1, 197]$ |
\(y^2=x^3-x^2-x+197\) |
22.2.0.a.1 |
$[(29, 154)]$ |
| 616.c1 |
616e3 |
616.c |
616e |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 7^{4} \cdot 11 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$616$ |
$48$ |
$0$ |
$1.844360468$ |
$1$ |
|
$7$ |
$128$ |
$0.227379$ |
$1707831108/26411$ |
$0.90642$ |
$4.38874$ |
$[0, 0, 0, -251, 1510]$ |
\(y^2=x^3-251x+1510\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 44.24.0-44.h.1.2, 56.24.0-56.z.1.4, 616.48.0.? |
$[(19, 60)]$ |
| 616.c2 |
616e2 |
616.c |
616e |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 11 \) |
\( 2^{8} \cdot 7^{2} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$308$ |
$48$ |
$0$ |
$0.922180234$ |
$1$ |
|
$11$ |
$64$ |
$-0.119194$ |
$12869712/5929$ |
$0.92155$ |
$3.41191$ |
$[0, 0, 0, -31, -30]$ |
\(y^2=x^3-31x-30\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 28.24.0-28.b.1.2, 44.24.0-44.a.1.1, 308.48.0.? |
$[(-3, 6)]$ |
| 616.c3 |
616e1 |
616.c |
616e |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 11 \) |
\( 2^{4} \cdot 7 \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$616$ |
$48$ |
$0$ |
$1.844360468$ |
$1$ |
|
$3$ |
$32$ |
$-0.465768$ |
$121485312/77$ |
$0.96765$ |
$3.32976$ |
$[0, 0, 0, -26, -51]$ |
\(y^2=x^3-26x-51\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 28.12.0-4.c.1.2, 44.12.0-4.c.1.2, $\ldots$ |
$[(6, 3)]$ |
| 616.c4 |
616e4 |
616.c |
616e |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 7 \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$616$ |
$48$ |
$0$ |
$1.844360468$ |
$1$ |
|
$3$ |
$128$ |
$0.227379$ |
$139863132/102487$ |
$0.92001$ |
$3.99917$ |
$[0, 0, 0, 109, -226]$ |
\(y^2=x^3+109x-226\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 14.6.0.b.1, 28.24.0-28.g.1.1, 88.24.0.?, $\ldots$ |
$[(11, 48)]$ |
| 616.d1 |
616a2 |
616.d |
616a |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 11 \) |
\( 2^{11} \cdot 7^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$3.201480347$ |
$1$ |
|
$3$ |
$192$ |
$0.499391$ |
$2415899250/1294139$ |
$1.20887$ |
$4.55065$ |
$[0, 0, 0, -355, 702]$ |
\(y^2=x^3-355x+702\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[(18, 12)]$ |
| 616.d2 |
616a1 |
616.d |
616a |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 11 \) |
\( - 2^{10} \cdot 7^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1.600740173$ |
$1$ |
|
$5$ |
$96$ |
$0.152817$ |
$66325500/41503$ |
$0.93491$ |
$3.88301$ |
$[0, 0, 0, 85, 86]$ |
\(y^2=x^3+85x+86\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[(7, 32)]$ |
| 616.e1 |
616b2 |
616.e |
616b |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 11 \) |
\( 2^{10} \cdot 7^{10} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1920$ |
$1.504526$ |
$1278763167594532/375974556419$ |
$1.04359$ |
$6.49456$ |
$[0, -1, 0, -22792, 936540]$ |
\(y^2=x^3-x^2-22792x+936540\) |
2.3.0.a.1, 28.6.0.c.1, 44.6.0.a.1, 308.12.0.? |
$[]$ |
| 616.e2 |
616b1 |
616.e |
616b |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 11 \) |
\( - 2^{8} \cdot 7^{5} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$960$ |
$1.157953$ |
$24226243449392/29774625727$ |
$0.97408$ |
$5.67942$ |
$[0, -1, 0, 3828, 95348]$ |
\(y^2=x^3-x^2+3828x+95348\) |
2.3.0.a.1, 14.6.0.b.1, 44.6.0.b.1, 308.12.0.? |
$[]$ |
