| 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 |
| 56.a4 |
56a1 |
56.a |
56a |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \) |
\( - 2^{8} \cdot 7 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.50 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2$ |
$-0.695180$ |
$432/7$ |
$0.89152$ |
$3.70389$ |
$[0, 0, 0, 1, 2]$ |
\(y^2=x^3+x+2\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.1, 14.6.0.b.1, 28.24.0-28.g.1.2, $\ldots$ |
$[]$ |
| 112.b4 |
112b1 |
112.b |
112b |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \) |
\( - 2^{8} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.60 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4$ |
$-0.695180$ |
$432/7$ |
$0.89152$ |
$3.15978$ |
$[0, 0, 0, 1, -2]$ |
\(y^2=x^3+x-2\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.3, 14.6.0.b.1, 28.24.0-28.g.1.1, $\ldots$ |
$[]$ |
| 392.d4 |
392a1 |
392.d |
392a |
$4$ |
$4$ |
\( 2^{3} \cdot 7^{2} \) |
\( - 2^{8} \cdot 7^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.51 |
2B |
$56$ |
$48$ |
$0$ |
$1.891959002$ |
$1$ |
|
$9$ |
$96$ |
$0.277775$ |
$432/7$ |
$0.89152$ |
$4.45214$ |
$[0, 0, 0, 49, -686]$ |
\(y^2=x^3+49x-686\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.8, 14.6.0.b.1, 28.24.0-28.g.1.2, $\ldots$ |
$[(9, 22)]$ |
| 448.d4 |
448a1 |
448.d |
448a |
$4$ |
$4$ |
\( 2^{6} \cdot 7 \) |
\( - 2^{14} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.103 |
2B |
$56$ |
$48$ |
$0$ |
$0.696738583$ |
$1$ |
|
$7$ |
$32$ |
$-0.348607$ |
$432/7$ |
$0.89152$ |
$3.12350$ |
$[0, 0, 0, 4, 16]$ |
\(y^2=x^3+4x+16\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.7, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(0, 4)]$ |
| 448.e4 |
448b1 |
448.e |
448b |
$4$ |
$4$ |
\( 2^{6} \cdot 7 \) |
\( - 2^{14} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.101 |
2B |
$56$ |
$48$ |
$0$ |
$1.069108576$ |
$1$ |
|
$5$ |
$32$ |
$-0.348607$ |
$432/7$ |
$0.89152$ |
$3.12350$ |
$[0, 0, 0, 4, -16]$ |
\(y^2=x^3+4x-16\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.5, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(4, 8)]$ |
| 504.c4 |
504c1 |
504.c |
504c |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$64$ |
$-0.145874$ |
$432/7$ |
$0.89152$ |
$3.45534$ |
$[0, 0, 0, 9, -54]$ |
\(y^2=x^3+9x-54\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.2, 14.6.0.b.1, $\ldots$ |
$[]$ |
| 784.e4 |
784c1 |
784.e |
784c |
$4$ |
$4$ |
\( 2^{4} \cdot 7^{2} \) |
\( - 2^{8} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.61 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$192$ |
$0.277775$ |
$432/7$ |
$0.89152$ |
$3.98909$ |
$[0, 0, 0, 49, 686]$ |
\(y^2=x^3+49x+686\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.6, 14.6.0.b.1, 28.24.0-28.g.1.1, $\ldots$ |
$[]$ |
| 1008.d4 |
1008h1 |
1008.d |
1008h |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$168$ |
$48$ |
$0$ |
$1.137828769$ |
$1$ |
|
$5$ |
$128$ |
$-0.145874$ |
$432/7$ |
$0.89152$ |
$3.10902$ |
$[0, 0, 0, 9, 54]$ |
\(y^2=x^3+9x+54\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.1, 14.6.0.b.1, $\ldots$ |
$[(1, 8)]$ |
| 1400.g4 |
1400a1 |
1400.g |
1400a |
$4$ |
$4$ |
\( 2^{3} \cdot 5^{2} \cdot 7 \) |
\( - 2^{8} \cdot 5^{6} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$256$ |
$0.109539$ |
$432/7$ |
$0.89152$ |
$3.39112$ |
$[0, 0, 0, 25, 250]$ |
\(y^2=x^3+25x+250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 2800.p4 |
2800a1 |
2800.p |
2800a |
$4$ |
$4$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \) |
\( - 2^{8} \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$280$ |
$48$ |
$0$ |
$3.113144371$ |
$1$ |
|
$3$ |
$512$ |
$0.109539$ |
$432/7$ |
$0.89152$ |
$3.09499$ |
$[0, 0, 0, 25, -250]$ |
\(y^2=x^3+25x-250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 20.12.0-4.c.1.1, $\ldots$ |
$[(41, 264)]$ |
| 3136.p4 |
3136s1 |
3136.p |
3136s |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \) |
\( - 2^{14} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.107 |
2B |
$56$ |
$48$ |
$0$ |
$1.933057233$ |
$1$ |
|
$5$ |
$1536$ |
$0.624349$ |
$432/7$ |
$0.89152$ |
$3.81877$ |
$[0, 0, 0, 196, 5488]$ |
\(y^2=x^3+196x+5488\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.4, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(-6, 64)]$ |
| 3136.q4 |
3136e1 |
3136.q |
3136e |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \) |
\( - 2^{14} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.111 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.624349$ |
$432/7$ |
$0.89152$ |
$3.81877$ |
$[0, 0, 0, 196, -5488]$ |
\(y^2=x^3+196x-5488\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.p.1.2, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[]$ |
| 3528.x4 |
3528k1 |
3528.x |
3528k |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$168$ |
$48$ |
$0$ |
$1.294122201$ |
$1$ |
|
$5$ |
$3072$ |
$0.827082$ |
$432/7$ |
$0.89152$ |
$4.06153$ |
$[0, 0, 0, 441, 18522]$ |
\(y^2=x^3+441x+18522\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.2, 14.6.0.b.1, $\ldots$ |
$[(-14, 98)]$ |
| 4032.bb4 |
4032g1 |
4032.bb |
4032g |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \) |
\( - 2^{14} \cdot 3^{6} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.200700$ |
$432/7$ |
$0.89152$ |
$3.09081$ |
$[0, 0, 0, 36, -432]$ |
\(y^2=x^3+36x-432\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 24.24.0-8.p.1.5, $\ldots$ |
$[]$ |
| 4032.bk4 |
4032bj1 |
4032.bk |
4032bj |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \) |
\( - 2^{14} \cdot 3^{6} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.200700$ |
$432/7$ |
$0.89152$ |
$3.09081$ |
$[0, 0, 0, 36, 432]$ |
\(y^2=x^3+36x+432\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 24.24.0-8.p.1.7, $\ldots$ |
$[]$ |
| 6776.g4 |
6776c1 |
6776.g |
6776c |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$616$ |
$48$ |
$0$ |
$3.287005482$ |
$1$ |
|
$3$ |
$2560$ |
$0.503768$ |
$432/7$ |
$0.89152$ |
$3.32120$ |
$[0, 0, 0, 121, -2662]$ |
\(y^2=x^3+121x-2662\) |
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, $\ldots$ |
$[(286, 4840)]$ |
| 7056.bo4 |
7056x1 |
7056.bo |
7056x |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$168$ |
$48$ |
$0$ |
$4.471352659$ |
$1$ |
|
$3$ |
$6144$ |
$0.827082$ |
$432/7$ |
$0.89152$ |
$3.74384$ |
$[0, 0, 0, 441, -18522]$ |
\(y^2=x^3+441x-18522\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.1, 14.6.0.b.1, $\ldots$ |
$[(246, 3870)]$ |
| 9464.c4 |
9464d1 |
9464.c |
9464d |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 7 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$0.587295$ |
$432/7$ |
$0.89152$ |
$3.30948$ |
$[0, 0, 0, 169, 4394]$ |
\(y^2=x^3+169x+4394\) |
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, $\ldots$ |
$[]$ |
| 9800.u4 |
9800d1 |
9800.u |
9800d |
$4$ |
$4$ |
\( 2^{3} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 5^{6} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$1.082495$ |
$432/7$ |
$0.89152$ |
$3.94352$ |
$[0, 0, 0, 1225, -85750]$ |
\(y^2=x^3+1225x-85750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 11200.bk4 |
11200bv1 |
11200.bk |
11200bv |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \) |
\( - 2^{14} \cdot 5^{6} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.456112$ |
$432/7$ |
$0.89152$ |
$3.08086$ |
$[0, 0, 0, 100, -2000]$ |
\(y^2=x^3+100x-2000\) |
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, $\ldots$ |
$[]$ |
| 11200.ca4 |
11200n1 |
11200.ca |
11200n |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \) |
\( - 2^{14} \cdot 5^{6} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.456112$ |
$432/7$ |
$0.89152$ |
$3.08086$ |
$[0, 0, 0, 100, 2000]$ |
\(y^2=x^3+100x+2000\) |
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, $\ldots$ |
$[]$ |
| 12600.ci4 |
12600cc1 |
12600.ci |
12600cc |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8192$ |
$0.658845$ |
$432/7$ |
$0.89152$ |
$3.30010$ |
$[0, 0, 0, 225, -6750]$ |
\(y^2=x^3+225x-6750\) |
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, $\ldots$ |
$[]$ |
| 13552.p4 |
13552c1 |
13552.p |
13552c |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$616$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5120$ |
$0.503768$ |
$432/7$ |
$0.89152$ |
$3.07924$ |
$[0, 0, 0, 121, 2662]$ |
\(y^2=x^3+121x+2662\) |
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, $\ldots$ |
$[]$ |
| 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, $\ldots$ |
$[(-15, 46)]$ |
| 18928.n4 |
18928b1 |
18928.n |
18928b |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$728$ |
$48$ |
$0$ |
$5.090215724$ |
$1$ |
|
$1$ |
$9216$ |
$0.587295$ |
$432/7$ |
$0.89152$ |
$3.07655$ |
$[0, 0, 0, 169, -4394]$ |
\(y^2=x^3+169x-4394\) |
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, $\ldots$ |
$[(217/3, 3160/3)]$ |
| 19600.cj4 |
19600h1 |
19600.cj |
19600h |
$4$ |
$4$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 5^{6} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.082495$ |
$432/7$ |
$0.89152$ |
$3.66695$ |
$[0, 0, 0, 1225, 85750]$ |
\(y^2=x^3+1225x+85750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 20.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 20216.h4 |
20216b1 |
20216.h |
20216b |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 19^{2} \) |
\( - 2^{8} \cdot 7 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1064$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12096$ |
$0.777040$ |
$432/7$ |
$0.89152$ |
$3.28579$ |
$[0, 0, 0, 361, -13718]$ |
\(y^2=x^3+361x-13718\) |
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, $\ldots$ |
$[]$ |
| 25200.l4 |
25200bf1 |
25200.l |
25200bf |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 7 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$840$ |
$48$ |
$0$ |
$4.197797070$ |
$1$ |
|
$11$ |
$16384$ |
$0.658845$ |
$432/7$ |
$0.89152$ |
$3.07439$ |
$[0, 0, 0, 225, 6750]$ |
\(y^2=x^3+225x+6750\) |
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, $\ldots$ |
$[(10, 100), (-6, 72)]$ |
| 28224.bd4 |
28224ck1 |
28224.bd |
28224ck |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{14} \cdot 3^{6} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$168$ |
$48$ |
$0$ |
$0.965235636$ |
$1$ |
|
$7$ |
$49152$ |
$1.173655$ |
$432/7$ |
$0.89152$ |
$3.64322$ |
$[0, 0, 0, 1764, 148176]$ |
\(y^2=x^3+1764x+148176\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 24.24.0-8.p.1.4, $\ldots$ |
$[(21, 441)]$ |
| 28224.by4 |
28224gd1 |
28224.by |
28224gd |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{14} \cdot 3^{6} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.173655$ |
$432/7$ |
$0.89152$ |
$3.64322$ |
$[0, 0, 0, 1764, -148176]$ |
\(y^2=x^3+1764x-148176\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 24.24.0-8.p.1.2, $\ldots$ |
$[]$ |
| 29624.g4 |
29624n1 |
29624.g |
29624n |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( - 2^{8} \cdot 7 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$25344$ |
$0.872567$ |
$432/7$ |
$0.89152$ |
$3.27518$ |
$[0, 0, 0, 529, -24334]$ |
\(y^2=x^3+529x-24334\) |
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, $\ldots$ |
$[]$ |
| 32368.q4 |
32368a1 |
32368.q |
32368a |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 7 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$952$ |
$48$ |
$0$ |
$5.605249675$ |
$1$ |
|
$1$ |
$18432$ |
$0.721427$ |
$432/7$ |
$0.89152$ |
$3.07260$ |
$[0, 0, 0, 289, -9826]$ |
\(y^2=x^3+289x-9826\) |
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, $\ldots$ |
$[(409/3, 8416/3)]$ |
| 40432.l4 |
40432j1 |
40432.l |
40432j |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 19^{2} \) |
\( - 2^{8} \cdot 7 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1064$ |
$48$ |
$0$ |
$8.358525276$ |
$1$ |
|
$1$ |
$24192$ |
$0.777040$ |
$432/7$ |
$0.89152$ |
$3.07108$ |
$[0, 0, 0, 361, 13718]$ |
\(y^2=x^3+361x+13718\) |
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, $\ldots$ |
$[(-4079/15, 117656/15)]$ |
| 47096.i4 |
47096a1 |
47096.i |
47096a |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 29^{2} \) |
\( - 2^{8} \cdot 7 \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1624$ |
$48$ |
$0$ |
$5.297866901$ |
$1$ |
|
$3$ |
$48384$ |
$0.988468$ |
$432/7$ |
$0.89152$ |
$3.26333$ |
$[0, 0, 0, 841, 48778]$ |
\(y^2=x^3+841x+48778\) |
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, $\ldots$ |
$[(11571, 1244680)]$ |
| 47432.n4 |
47432g1 |
47432.n |
47432g |
$4$ |
$4$ |
\( 2^{3} \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 7^{7} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$616$ |
$48$ |
$0$ |
$2.633241306$ |
$1$ |
|
$5$ |
$122880$ |
$1.476723$ |
$432/7$ |
$0.89152$ |
$3.80534$ |
$[0, 0, 0, 5929, 913066]$ |
\(y^2=x^3+5929x+913066\) |
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, $\ldots$ |
$[(-66, 484)]$ |
| 53816.d4 |
53816c1 |
53816.d |
53816c |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 31^{2} \) |
\( - 2^{8} \cdot 7 \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1736$ |
$48$ |
$0$ |
$8.927224528$ |
$1$ |
|
$3$ |
$57600$ |
$1.021814$ |
$432/7$ |
$0.89152$ |
$3.26010$ |
$[0, 0, 0, 961, -59582]$ |
\(y^2=x^3+961x-59582\) |
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, $\ldots$ |
$[(555489, 414012254)]$ |
| 54208.bj4 |
54208bx1 |
54208.bj |
54208bx |
$4$ |
$4$ |
\( 2^{6} \cdot 7 \cdot 11^{2} \) |
\( - 2^{14} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$616$ |
$48$ |
$0$ |
$1.373277384$ |
$1$ |
|
$5$ |
$40960$ |
$0.850341$ |
$432/7$ |
$0.89152$ |
$3.06917$ |
$[0, 0, 0, 484, 21296]$ |
\(y^2=x^3+484x+21296\) |
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, $\ldots$ |
$[(-11, 121)]$ |
| 54208.bl4 |
54208be1 |
54208.bl |
54208be |
$4$ |
$4$ |
\( 2^{6} \cdot 7 \cdot 11^{2} \) |
\( - 2^{14} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$616$ |
$48$ |
$0$ |
$2.938041868$ |
$1$ |
|
$3$ |
$40960$ |
$0.850341$ |
$432/7$ |
$0.89152$ |
$3.06917$ |
$[0, 0, 0, 484, -21296]$ |
\(y^2=x^3+484x-21296\) |
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, $\ldots$ |
$[(814, 23232)]$ |
| 59248.n4 |
59248c1 |
59248.n |
59248c |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( - 2^{8} \cdot 7 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$50688$ |
$0.872567$ |
$432/7$ |
$0.89152$ |
$3.06861$ |
$[0, 0, 0, 529, 24334]$ |
\(y^2=x^3+529x+24334\) |
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, $\ldots$ |
$[]$ |
| 60984.p4 |
60984ch1 |
60984.p |
60984ch |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1848$ |
$48$ |
$0$ |
$0.913709699$ |
$1$ |
|
$7$ |
$81920$ |
$1.053074$ |
$432/7$ |
$0.89152$ |
$3.25715$ |
$[0, 0, 0, 1089, 71874]$ |
\(y^2=x^3+1089x+71874\) |
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, $\ldots$ |
$[(-11, 242)]$ |
| 66248.p4 |
66248e1 |
66248.p |
66248e |
$4$ |
$4$ |
\( 2^{3} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 7^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$728$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$221184$ |
$1.560249$ |
$432/7$ |
$0.89152$ |
$3.78110$ |
$[0, 0, 0, 8281, -1507142]$ |
\(y^2=x^3+8281x-1507142\) |
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, $\ldots$ |
$[]$ |
| 75712.bv4 |
75712bs1 |
75712.bv |
75712bs |
$4$ |
$4$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{14} \cdot 7 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$0.933868$ |
$432/7$ |
$0.89152$ |
$3.06711$ |
$[0, 0, 0, 676, -35152]$ |
\(y^2=x^3+676x-35152\) |
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, $\ldots$ |
$[]$ |
| 75712.bw4 |
75712z1 |
75712.bw |
75712z |
$4$ |
$4$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( - 2^{14} \cdot 7 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$0.933868$ |
$432/7$ |
$0.89152$ |
$3.06711$ |
$[0, 0, 0, 676, 35152]$ |
\(y^2=x^3+676x+35152\) |
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, $\ldots$ |
$[]$ |
| 76664.b4 |
76664b1 |
76664.b |
76664b |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 37^{2} \) |
\( - 2^{8} \cdot 7 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$2072$ |
$48$ |
$0$ |
$2.317877506$ |
$1$ |
|
$1$ |
$103680$ |
$1.110279$ |
$432/7$ |
$0.89152$ |
$3.25192$ |
$[0, 0, 0, 1369, 101306]$ |
\(y^2=x^3+1369x+101306\) |
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, $\ldots$ |
$[(185/2, 4107/2)]$ |
| 78400.ey4 |
78400gz1 |
78400.ey |
78400gz |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{14} \cdot 5^{6} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$280$ |
$48$ |
$0$ |
$1.115252146$ |
$1$ |
|
$5$ |
$196608$ |
$1.429068$ |
$432/7$ |
$0.89152$ |
$3.58491$ |
$[0, 0, 0, 4900, 686000]$ |
\(y^2=x^3+4900x+686000\) |
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, $\ldots$ |
$[(-14, 784)]$ |
| 78400.gm4 |
78400u1 |
78400.gm |
78400u |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{14} \cdot 5^{6} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$196608$ |
$1.429068$ |
$432/7$ |
$0.89152$ |
$3.58491$ |
$[0, 0, 0, 4900, -686000]$ |
\(y^2=x^3+4900x-686000\) |
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, $\ldots$ |
$[]$ |
| 85176.bs4 |
85176ce1 |
85176.bs |
85176ce |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 7 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.136600$ |
$432/7$ |
$0.89152$ |
$3.24958$ |
$[0, 0, 0, 1521, -118638]$ |
\(y^2=x^3+1521x-118638\) |
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, $\ldots$ |
$[]$ |
| 88200.hm4 |
88200gt1 |
88200.hm |
88200gt |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$1.631800$ |
$432/7$ |
$0.89152$ |
$3.76147$ |
$[0, 0, 0, 11025, 2315250]$ |
\(y^2=x^3+11025x+2315250\) |
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, $\ldots$ |
$[]$ |
| 94136.f4 |
94136f1 |
94136.f |
94136f |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 41^{2} \) |
\( - 2^{8} \cdot 7 \cdot 41^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$2296$ |
$48$ |
$0$ |
$7.421941092$ |
$1$ |
|
$1$ |
$140800$ |
$1.161606$ |
$432/7$ |
$0.89152$ |
$3.24740$ |
$[0, 0, 0, 1681, 137842]$ |
\(y^2=x^3+1681x+137842\) |
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, $\ldots$ |
$[(-1431/7, 86666/7)]$ |
| 94192.r4 |
94192i1 |
94192.r |
94192i |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 29^{2} \) |
\( - 2^{8} \cdot 7 \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1624$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$96768$ |
$0.988468$ |
$432/7$ |
$0.89152$ |
$3.06583$ |
$[0, 0, 0, 841, -48778]$ |
\(y^2=x^3+841x-48778\) |
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, $\ldots$ |
$[]$ |
