| 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 |
| 16184.a1 |
16184c1 |
16184.a |
16184c |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 7^{3} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$6.553115200$ |
$1$ |
|
$2$ |
$51408$ |
$1.519531$ |
$-299944192/343$ |
$0.85509$ |
$4.63892$ |
$[0, 1, 0, -67144, -6725715]$ |
\(y^2=x^3+x^2-67144x-6725715\) |
14.2.0.a.1 |
$[(842, 23117)]$ |
| 16184.b1 |
16184b1 |
16184.b |
16184b |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \) |
\( 2^{10} \cdot 7^{2} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$87040$ |
$1.746254$ |
$275684/49$ |
$0.78154$ |
$4.63872$ |
$[0, 1, 0, -67144, 5551872]$ |
\(y^2=x^3+x^2-67144x+5551872\) |
2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.? |
$[]$ |
| 16184.b2 |
16184b2 |
16184.b |
16184b |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \) |
\( - 2^{11} \cdot 7^{4} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$174080$ |
$2.092827$ |
$986078/2401$ |
$0.87303$ |
$4.96199$ |
$[0, 1, 0, 129376, 32121376]$ |
\(y^2=x^3+x^2+129376x+32121376\) |
2.3.0.a.1, 8.6.0.e.1, 68.6.0.c.1, 136.12.0.? |
$[]$ |
| 16184.c1 |
16184a2 |
16184.c |
16184a |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \) |
\( 2^{11} \cdot 7^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$4.608421923$ |
$1$ |
|
$3$ |
$40960$ |
$1.181938$ |
$3543122/49$ |
$1.08036$ |
$4.09671$ |
$[0, 1, 0, -11656, -482448]$ |
\(y^2=x^3+x^2-11656x-482448\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[(1643, 66470)]$ |
| 16184.c2 |
16184a1 |
16184.c |
16184a |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \) |
\( - 2^{10} \cdot 7 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$9.216843846$ |
$1$ |
|
$1$ |
$20480$ |
$0.835364$ |
$-4/7$ |
$1.03482$ |
$3.43917$ |
$[0, 1, 0, -96, -20048]$ |
\(y^2=x^3+x^2-96x-20048\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[(18012/23, 1601120/23)]$ |
| 16184.d1 |
16184d4 |
16184.d |
16184d |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \) |
\( 2^{11} \cdot 7 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$952$ |
$48$ |
$0$ |
$10.62014060$ |
$1$ |
|
$1$ |
$36864$ |
$1.414574$ |
$1443468546/7$ |
$1.04654$ |
$4.71680$ |
$[0, 0, 0, -86411, 9776870]$ |
\(y^2=x^3-86411x+9776870\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0.bp.1, 136.24.0.?, $\ldots$ |
$[(47626/9, 9285560/9)]$ |
| 16184.d2 |
16184d3 |
16184.d |
16184d |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \) |
\( 2^{11} \cdot 7^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$952$ |
$48$ |
$0$ |
$2.655035150$ |
$1$ |
|
$3$ |
$36864$ |
$1.414574$ |
$11090466/2401$ |
$1.11706$ |
$4.21445$ |
$[0, 0, 0, -17051, -677994]$ |
\(y^2=x^3-17051x-677994\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 68.12.0-4.c.1.1, $\ldots$ |
$[(170, 1156)]$ |
| 16184.d3 |
16184d2 |
16184.d |
16184d |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \) |
\( 2^{10} \cdot 7^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$952$ |
$48$ |
$0$ |
$5.310070300$ |
$1$ |
|
$5$ |
$18432$ |
$1.068001$ |
$740772/49$ |
$1.06534$ |
$3.86371$ |
$[0, 0, 0, -5491, 147390]$ |
\(y^2=x^3-5491x+147390\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 56.24.0.d.1, 68.12.0-2.a.1.1, $\ldots$ |
$[(563, 13248)]$ |
| 16184.d4 |
16184d1 |
16184.d |
16184d |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 7 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$952$ |
$48$ |
$0$ |
$2.655035150$ |
$1$ |
|
$5$ |
$9216$ |
$0.721427$ |
$432/7$ |
$0.89152$ |
$3.29235$ |
$[0, 0, 0, 289, 9826]$ |
\(y^2=x^3+289x+9826\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(-15, 46)]$ |
| 16184.e1 |
16184f1 |
16184.e |
16184f |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \) |
\( 2^{10} \cdot 7^{2} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$136$ |
$12$ |
$0$ |
$2.380288079$ |
$1$ |
|
$3$ |
$5120$ |
$0.329648$ |
$275684/49$ |
$0.78154$ |
$2.88473$ |
$[0, -1, 0, -232, 1212]$ |
\(y^2=x^3-x^2-232x+1212\) |
2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.? |
$[(78, 672)]$ |
| 16184.e2 |
16184f2 |
16184.e |
16184f |
$2$ |
$2$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \) |
\( - 2^{11} \cdot 7^{4} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$136$ |
$12$ |
$0$ |
$4.760576158$ |
$1$ |
|
$1$ |
$10240$ |
$0.676221$ |
$986078/2401$ |
$0.87303$ |
$3.20800$ |
$[0, -1, 0, 448, 6380]$ |
\(y^2=x^3-x^2+448x+6380\) |
2.3.0.a.1, 8.6.0.e.1, 68.6.0.c.1, 136.12.0.? |
$[(685/3, 18620/3)]$ |
| 16184.f1 |
16184e1 |
16184.f |
16184e |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 7^{3} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$2.150937513$ |
$1$ |
|
$2$ |
$3024$ |
$0.102925$ |
$-299944192/343$ |
$0.85509$ |
$2.88493$ |
$[0, -1, 0, -232, -1287]$ |
\(y^2=x^3-x^2-232x-1287\) |
14.2.0.a.1 |
$[(36, 189)]$ |
