| 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 |
| 9660.a1 |
9660a1 |
9660.a |
9660a |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{4} \cdot 3 \cdot 5^{6} \cdot 7 \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6912$ |
$0.763661$ |
$339251313639424/173578125$ |
$0.96516$ |
$3.94849$ |
$[0, -1, 0, -3661, -84014]$ |
\(y^2=x^3-x^2-3661x-84014\) |
2.3.0.a.1, 20.6.0.b.1, 42.6.0.a.1, 420.12.0.? |
$[]$ |
| 9660.a2 |
9660a2 |
9660.a |
9660a |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{3} \cdot 7^{2} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$13824$ |
$1.110235$ |
$-12092945312464/15426235125$ |
$0.89510$ |
$4.01420$ |
$[0, -1, 0, -3036, -114264]$ |
\(y^2=x^3-x^2-3036x-114264\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[]$ |
| 9660.b1 |
9660b1 |
9660.b |
9660b |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{6} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$1.065903376$ |
$1$ |
|
$7$ |
$17280$ |
$0.951603$ |
$7124261256822784/475453125$ |
$1.02653$ |
$4.28029$ |
$[0, -1, 0, -10101, 394110]$ |
\(y^2=x^3-x^2-10101x+394110\) |
2.3.0.a.1, 20.6.0.b.1, 138.6.0.?, 1380.12.0.? |
$[(59, 7)]$ |
| 9660.b2 |
9660b2 |
9660.b |
9660b |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 7^{4} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$0.532951688$ |
$1$ |
|
$9$ |
$34560$ |
$1.298178$ |
$-367624742361424/115740505125$ |
$0.90862$ |
$4.30675$ |
$[0, -1, 0, -9476, 444360]$ |
\(y^2=x^3-x^2-9476x+444360\) |
2.3.0.a.1, 20.6.0.a.1, 276.6.0.?, 1380.12.0.? |
$[(46, 322)]$ |
| 9660.c1 |
9660c1 |
9660.c |
9660c |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{5} \cdot 5^{2} \cdot 7 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5280$ |
$0.509517$ |
$-615640662016/978075$ |
$0.90763$ |
$3.56307$ |
$[0, -1, 0, -1125, -14175]$ |
\(y^2=x^3-x^2-1125x-14175\) |
966.2.0.? |
$[]$ |
| 9660.d1 |
9660e2 |
9660.d |
9660e |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 7^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$966$ |
$16$ |
$0$ |
$0.954208909$ |
$1$ |
|
$2$ |
$116640$ |
$2.061687$ |
$-23618971583050153984/391556092921875$ |
$1.05116$ |
$5.46898$ |
$[0, 1, 0, -379541, -91405305]$ |
\(y^2=x^3+x^2-379541x-91405305\) |
3.8.0-3.a.1.1, 966.16.0.? |
$[(2602, 128625)]$ |
| 9660.d2 |
9660e1 |
9660.d |
9660e |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 7^{3} \cdot 23^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$966$ |
$16$ |
$0$ |
$0.318069636$ |
$1$ |
|
$18$ |
$38880$ |
$1.512381$ |
$2477112820760576/2053567248075$ |
$1.03966$ |
$4.46732$ |
$[0, 1, 0, 17899, -600201]$ |
\(y^2=x^3+x^2+17899x-600201\) |
3.8.0-3.a.1.2, 966.16.0.? |
$[(49, 630)]$ |
| 9660.e1 |
9660d1 |
9660.e |
9660d |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{4} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$8.438092112$ |
$1$ |
|
$1$ |
$16896$ |
$1.142681$ |
$1163923388486385664/4141725$ |
$1.04713$ |
$4.83567$ |
$[0, 1, 0, -55221, -5013096]$ |
\(y^2=x^3+x^2-55221x-5013096\) |
2.3.0.a.1, 20.6.0.b.1, 138.6.0.?, 1380.12.0.? |
$[(17705/4, 2298723/4)]$ |
| 9660.e2 |
9660d2 |
9660.e |
9660d |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5 \cdot 7^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$4.219046056$ |
$1$ |
|
$3$ |
$33792$ |
$1.489256$ |
$-72646456083703504/137231087805$ |
$0.93583$ |
$4.83588$ |
$[0, 1, 0, -55196, -5017836]$ |
\(y^2=x^3+x^2-55196x-5017836\) |
2.3.0.a.1, 20.6.0.a.1, 276.6.0.?, 1380.12.0.? |
$[(4387, 290178)]$ |
| 9660.f1 |
9660f1 |
9660.f |
9660f |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{8} \cdot 3^{23} \cdot 5^{2} \cdot 7 \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2210208$ |
$3.509716$ |
$-6218589009063615570313216/56094690913037211867075$ |
$1.07844$ |
$7.13221$ |
$[0, 1, 0, -24325925, 188071325175]$ |
\(y^2=x^3+x^2-24325925x+188071325175\) |
966.2.0.? |
$[]$ |
