| 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 |
Manin constant |
| 1904.a1 |
1904e2 |
1904.a |
1904e |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 17 \) |
\( 2^{13} \cdot 7^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$136$ |
$12$ |
$0$ |
$0.248073574$ |
$1$ |
|
$11$ |
$768$ |
$0.561543$ |
$2433138625/1387778$ |
$0.96221$ |
$3.96337$ |
$[0, 1, 0, -448, -588]$ |
\(y^2=x^3+x^2-448x-588\) |
2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? |
$[(-14, 56)]$ |
$1$ |
| 1904.a2 |
1904e1 |
1904.a |
1904e |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 17 \) |
\( 2^{14} \cdot 7^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$136$ |
$12$ |
$0$ |
$0.496147148$ |
$1$ |
|
$11$ |
$384$ |
$0.214970$ |
$647214625/3332$ |
$0.86431$ |
$3.78801$ |
$[0, 1, 0, -288, 1780]$ |
\(y^2=x^3+x^2-288x+1780\) |
2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? |
$[(12, 14)]$ |
$1$ |
| 1904.b1 |
1904b2 |
1904.b |
1904b |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 17 \) |
\( 2^{17} \cdot 7^{2} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3840$ |
$0.940982$ |
$234770924809/130960928$ |
$0.97956$ |
$4.56845$ |
$[0, 1, 0, -2056, 6132]$ |
\(y^2=x^3+x^2-2056x+6132\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[ ]$ |
$1$ |
| 1904.b2 |
1904b1 |
1904.b |
1904b |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 17 \) |
\( - 2^{22} \cdot 7 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1920$ |
$0.594408$ |
$3449795831/2071552$ |
$0.94689$ |
$4.00960$ |
$[0, 1, 0, 504, 1012]$ |
\(y^2=x^3+x^2+504x+1012\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[ ]$ |
$1$ |
| 1904.c1 |
1904d2 |
1904.c |
1904d |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 17 \) |
\( 2^{13} \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$952$ |
$12$ |
$0$ |
$0.921041226$ |
$1$ |
|
$7$ |
$384$ |
$0.241869$ |
$60698457/28322$ |
$0.89781$ |
$3.47460$ |
$[0, 0, 0, -131, -254]$ |
\(y^2=x^3-131x-254\) |
2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.? |
$[(-9, 14)]$ |
$1$ |
| 1904.c2 |
1904d1 |
1904.c |
1904d |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 17 \) |
\( - 2^{14} \cdot 7 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$952$ |
$12$ |
$0$ |
$1.842082453$ |
$1$ |
|
$5$ |
$192$ |
$-0.104705$ |
$658503/476$ |
$0.89406$ |
$2.87557$ |
$[0, 0, 0, 29, -30]$ |
\(y^2=x^3+29x-30\) |
2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.? |
$[(2, 6)]$ |
$1$ |
| 1904.d1 |
1904c3 |
1904.d |
1904c |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 17 \) |
\( 2^{13} \cdot 7^{2} \cdot 17^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.49 |
2B |
$136$ |
$48$ |
$0$ |
$1.352861604$ |
$1$ |
|
$7$ |
$1536$ |
$0.972277$ |
$16342588257633/8185058$ |
$1.11945$ |
$5.13030$ |
$[0, 0, 0, -8459, 299322]$ |
\(y^2=x^3-8459x+299322\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.k.1.2, 136.48.0.? |
$[(29, 280)]$ |
$1$ |
| 1904.d2 |
1904c2 |
1904.d |
1904c |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 17 \) |
\( 2^{14} \cdot 7^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.2 |
2Cs |
$136$ |
$48$ |
$0$ |
$2.705723209$ |
$1$ |
|
$7$ |
$768$ |
$0.625703$ |
$6403769793/2775556$ |
$1.13395$ |
$4.09151$ |
$[0, 0, 0, -619, 2970]$ |
\(y^2=x^3-619x+2970\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.1, 68.24.0-68.b.1.2, 136.48.0.? |
$[(23, 30)]$ |
$1$ |
| 1904.d3 |
1904c1 |
1904.d |
1904c |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 17 \) |
\( 2^{16} \cdot 7^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.60 |
2B |
$136$ |
$48$ |
$0$ |
$1.352861604$ |
$1$ |
|
$7$ |
$384$ |
$0.279129$ |
$721734273/13328$ |
$0.89265$ |
$3.80244$ |
$[0, 0, 0, -299, -1958]$ |
\(y^2=x^3-299x-1958\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.3, 34.6.0.a.1, 68.24.0-68.g.1.1, $\ldots$ |
$[(-9, 2)]$ |
$1$ |
| 1904.d4 |
1904c4 |
1904.d |
1904c |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 17 \) |
\( - 2^{13} \cdot 7^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.101 |
2B |
$136$ |
$48$ |
$0$ |
$5.411446419$ |
$1$ |
|
$1$ |
$1536$ |
$0.972277$ |
$250404380127/196003234$ |
$0.98833$ |
$4.57699$ |
$[0, 0, 0, 2101, 22010]$ |
\(y^2=x^3+2101x+22010\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.5, 68.12.0-4.c.1.2, 136.48.0.? |
$[(-65/3, 2170/3)]$ |
$1$ |
| 1904.e1 |
1904a2 |
1904.e |
1904a |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 17 \) |
\( 2^{19} \cdot 7^{4} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5376$ |
$1.098593$ |
$37936442980801/88817792$ |
$0.95838$ |
$5.24182$ |
$[0, -1, 0, -11200, -451584]$ |
\(y^2=x^3-x^2-11200x-451584\) |
2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? |
$[ ]$ |
$1$ |
| 1904.e2 |
1904a1 |
1904.e |
1904a |
$2$ |
$2$ |
\( 2^{4} \cdot 7 \cdot 17 \) |
\( 2^{26} \cdot 7^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2688$ |
$0.752019$ |
$23912763841/13647872$ |
$0.98171$ |
$4.26598$ |
$[0, -1, 0, -960, -1024]$ |
\(y^2=x^3-x^2-960x-1024\) |
2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? |
$[ ]$ |
$1$ |
