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 |
312.a3 |
312d1 |
312.a |
312d |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.47 |
2B |
$624$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$32$ |
$-0.390314$ |
$420616192/117$ |
$0.96408$ |
$3.94042$ |
$[0, -1, 0, -39, 108]$ |
\(y^2=x^3-x^2-39x+108\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 26.6.0.b.1, 48.48.0-48.i.1.4, $\ldots$ |
$[]$ |
624.f3 |
624f1 |
624.f |
624f |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.57 |
2B |
$624$ |
$192$ |
$3$ |
$2.220408588$ |
$1$ |
|
$3$ |
$64$ |
$-0.390314$ |
$420616192/117$ |
$0.96408$ |
$3.51605$ |
$[0, 1, 0, -39, -108]$ |
\(y^2=x^3+x^2-39x-108\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 26.6.0.b.1, 48.48.0-48.i.1.8, $\ldots$ |
$[(12, 36)]$ |
936.h3 |
936i1 |
936.h |
936i |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.16 |
2B |
$624$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$256$ |
$0.158993$ |
$420616192/117$ |
$0.96408$ |
$4.27114$ |
$[0, 0, 0, -354, -2563]$ |
\(y^2=x^3-354x-2563\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 16.24.0-8.o.1.4, $\ldots$ |
$[]$ |
1872.n3 |
1872h1 |
1872.n |
1872h |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.16 |
2B |
$624$ |
$192$ |
$3$ |
$1.141225143$ |
$1$ |
|
$3$ |
$512$ |
$0.158993$ |
$420616192/117$ |
$0.96408$ |
$3.87822$ |
$[0, 0, 0, -354, 2563]$ |
\(y^2=x^3-354x+2563\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 16.24.0-8.o.1.4, $\ldots$ |
$[(-1, 54)]$ |
2496.k3 |
2496s1 |
2496.k |
2496s |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13 \) |
\( 2^{10} \cdot 3^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.108 |
2B |
$624$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$512$ |
$-0.043740$ |
$420616192/117$ |
$0.96408$ |
$3.42459$ |
$[0, -1, 0, -157, -707]$ |
\(y^2=x^3-x^2-157x-707\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.5, 26.6.0.b.1, 48.48.0-48.i.1.12, $\ldots$ |
$[]$ |
2496.bb3 |
2496i1 |
2496.bb |
2496i |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13 \) |
\( 2^{10} \cdot 3^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.112 |
2B |
$624$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$512$ |
$-0.043740$ |
$420616192/117$ |
$0.96408$ |
$3.42459$ |
$[0, 1, 0, -157, 707]$ |
\(y^2=x^3+x^2-157x+707\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.7, 26.6.0.b.1, 48.48.0-48.i.1.16, $\ldots$ |
$[]$ |
4056.g3 |
4056m1 |
4056.g |
4056m |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 13^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.52 |
2B |
$624$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$5376$ |
$0.892161$ |
$420616192/117$ |
$0.96408$ |
$4.57628$ |
$[0, -1, 0, -6647, 210768]$ |
\(y^2=x^3-x^2-6647x+210768\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.8, 26.6.0.b.1, 48.48.0-48.i.1.13, $\ldots$ |
$[]$ |
7488.i3 |
7488bu1 |
7488.i |
7488bu |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.18 |
2B |
$624$ |
$192$ |
$3$ |
$0.821257131$ |
$1$ |
|
$7$ |
$4096$ |
$0.505566$ |
$420616192/117$ |
$0.96408$ |
$3.74175$ |
$[0, 0, 0, -1416, 20504]$ |
\(y^2=x^3-1416x+20504\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0-8.o.1.2, 24.24.0-8.o.1.7, $\ldots$ |
$[(25, 27)]$ |
7488.t3 |
7488s1 |
7488.t |
7488s |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.18 |
2B |
$624$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.505566$ |
$420616192/117$ |
$0.96408$ |
$3.74175$ |
$[0, 0, 0, -1416, -20504]$ |
\(y^2=x^3-1416x-20504\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0-8.o.1.2, 24.24.0-8.o.1.5, $\ldots$ |
$[]$ |
7800.n3 |
7800u1 |
7800.n |
7800u |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$1.089429912$ |
$1$ |
|
$5$ |
$4096$ |
$0.414405$ |
$420616192/117$ |
$0.96408$ |
$3.60264$ |
$[0, 1, 0, -983, 11538]$ |
\(y^2=x^3+x^2-983x+11538\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 20.12.0-4.c.1.2, 26.6.0.b.1, $\ldots$ |
$[(19, 9)]$ |
8112.bg3 |
8112m1 |
8112.bg |
8112m |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.62 |
2B |
$624$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$1$ |
$10752$ |
$0.892161$ |
$420616192/117$ |
$0.96408$ |
$4.22387$ |
$[0, 1, 0, -6647, -210768]$ |
\(y^2=x^3+x^2-6647x-210768\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.6, 26.6.0.b.1, 48.48.0-48.i.1.9, $\ldots$ |
$[]$ |
12168.e3 |
12168f1 |
12168.e |
12168f |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 13^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.20 |
2B |
$624$ |
$192$ |
$3$ |
$2.231239045$ |
$1$ |
|
$15$ |
$43008$ |
$1.441467$ |
$420616192/117$ |
$0.96408$ |
$4.74256$ |
$[0, 0, 0, -59826, -5630911]$ |
\(y^2=x^3-59826x-5630911\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 16.24.0-8.o.1.1, $\ldots$ |
$[(-140, 27), (832, 22815)]$ |
15288.bb3 |
15288j1 |
15288.bb |
15288j |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$4368$ |
$192$ |
$3$ |
$4.611271386$ |
$1$ |
|
$1$ |
$9216$ |
$0.582642$ |
$420616192/117$ |
$0.96408$ |
$3.56055$ |
$[0, 1, 0, -1927, -33202]$ |
\(y^2=x^3+x^2-1927x-33202\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 28.12.0-4.c.1.2, $\ldots$ |
$[(809/4, 2205/4)]$ |
15600.bi3 |
15600e1 |
15600.bi |
15600e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$5.498254893$ |
$1$ |
|
$1$ |
$8192$ |
$0.414405$ |
$420616192/117$ |
$0.96408$ |
$3.34400$ |
$[0, -1, 0, -983, -11538]$ |
\(y^2=x^3-x^2-983x-11538\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 20.12.0-4.c.1.1, 26.6.0.b.1, $\ldots$ |
$[(937/4, 22925/4)]$ |
23400.e3 |
23400m1 |
23400.e |
23400m |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$32768$ |
$0.963712$ |
$420616192/117$ |
$0.96408$ |
$3.86444$ |
$[0, 0, 0, -8850, -320375]$ |
\(y^2=x^3-8850x-320375\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[]$ |
24336.t3 |
24336l1 |
24336.t |
24336l |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.20 |
2B |
$624$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$86016$ |
$1.441467$ |
$420616192/117$ |
$0.96408$ |
$4.41708$ |
$[0, 0, 0, -59826, 5630911]$ |
\(y^2=x^3-59826x+5630911\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 16.24.0-8.o.1.1, $\ldots$ |
$[]$ |
30576.be3 |
30576c1 |
30576.be |
30576c |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 7^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$4368$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$0.582642$ |
$420616192/117$ |
$0.96408$ |
$3.32159$ |
$[0, -1, 0, -1927, 33202]$ |
\(y^2=x^3-x^2-1927x+33202\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 28.12.0-4.c.1.1, $\ldots$ |
$[]$ |
32448.q3 |
32448cl1 |
32448.q |
32448cl |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.109 |
2B |
$624$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$86016$ |
$1.238735$ |
$420616192/117$ |
$0.96408$ |
$4.06054$ |
$[0, -1, 0, -26589, -1659555]$ |
\(y^2=x^3-x^2-26589x-1659555\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.4, 26.6.0.b.1, 48.48.0-48.i.1.5, $\ldots$ |
$[]$ |
32448.cd3 |
32448bm1 |
32448.cd |
32448bm |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.113 |
2B |
$624$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$86016$ |
$1.238735$ |
$420616192/117$ |
$0.96408$ |
$4.06054$ |
$[0, 1, 0, -26589, 1659555]$ |
\(y^2=x^3+x^2-26589x+1659555\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.2, 26.6.0.b.1, 48.48.0-48.i.1.1, $\ldots$ |
$[]$ |
37752.a3 |
37752r1 |
37752.a |
37752r |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 11^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$6864$ |
$192$ |
$3$ |
$2.047137226$ |
$1$ |
|
$7$ |
$46080$ |
$0.808634$ |
$420616192/117$ |
$0.96408$ |
$3.51247$ |
$[0, -1, 0, -4759, -124760]$ |
\(y^2=x^3-x^2-4759x-124760\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 44.12.0-4.c.1.2, $\ldots$ |
$[(-39, 1)]$ |
45864.n3 |
45864bk1 |
45864.n |
45864bk |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 7^{6} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$4368$ |
$192$ |
$3$ |
$2.134376376$ |
$1$ |
|
$15$ |
$73728$ |
$1.131947$ |
$420616192/117$ |
$0.96408$ |
$3.81024$ |
$[0, 0, 0, -17346, 879109]$ |
\(y^2=x^3-17346x+879109\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[(74, 27), (65, 162)]$ |
46800.fg3 |
46800w1 |
46800.fg |
46800w |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$65536$ |
$0.963712$ |
$420616192/117$ |
$0.96408$ |
$3.61535$ |
$[0, 0, 0, -8850, 320375]$ |
\(y^2=x^3-8850x+320375\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[]$ |
62400.l3 |
62400bg1 |
62400.l |
62400bg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{6} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$2.679332517$ |
$1$ |
|
$13$ |
$65536$ |
$0.760979$ |
$420616192/117$ |
$0.96408$ |
$3.30081$ |
$[0, -1, 0, -3933, 96237]$ |
\(y^2=x^3-x^2-3933x+96237\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 40.24.0-8.o.1.4, $\ldots$ |
$[(33, 36), (36, 3)]$ |
62400.hw3 |
62400hl1 |
62400.hw |
62400hl |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$1$ |
$65536$ |
$0.760979$ |
$420616192/117$ |
$0.96408$ |
$3.30081$ |
$[0, 1, 0, -3933, -96237]$ |
\(y^2=x^3+x^2-3933x-96237\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 40.24.0-8.o.1.2, $\ldots$ |
$[]$ |
75504.bs3 |
75504s1 |
75504.bs |
75504s |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{2} \cdot 11^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$6864$ |
$192$ |
$3$ |
$5.819247883$ |
$1$ |
|
$1$ |
$92160$ |
$0.808634$ |
$420616192/117$ |
$0.96408$ |
$3.29571$ |
$[0, 1, 0, -4759, 124760]$ |
\(y^2=x^3+x^2-4759x+124760\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 44.12.0-4.c.1.1, $\ldots$ |
$[(1976/7, 2484/7)]$ |
90168.bc3 |
90168o1 |
90168.bc |
90168o |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$10608$ |
$192$ |
$3$ |
$1.898398818$ |
$1$ |
|
$3$ |
$163840$ |
$1.026293$ |
$420616192/117$ |
$0.96408$ |
$3.47336$ |
$[0, 1, 0, -11367, 462582]$ |
\(y^2=x^3+x^2-11367x+462582\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[(-91, 867)]$ |
91728.bo3 |
91728z1 |
91728.bo |
91728z |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$4368$ |
$192$ |
$3$ |
$7.490395888$ |
$1$ |
|
$1$ |
$147456$ |
$1.131947$ |
$420616192/117$ |
$0.96408$ |
$3.57911$ |
$[0, 0, 0, -17346, -879109]$ |
\(y^2=x^3-17346x-879109\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[(11851/3, 1283408/3)]$ |
97344.ei3 |
97344bx1 |
97344.ei |
97344bx |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.19 |
2B |
$624$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$688128$ |
$1.788040$ |
$420616192/117$ |
$0.96408$ |
$4.24604$ |
$[0, 0, 0, -239304, -45047288]$ |
\(y^2=x^3-239304x-45047288\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0-8.o.1.3, 24.24.0-8.o.1.4, $\ldots$ |
$[]$ |
97344.fq3 |
97344fg1 |
97344.fq |
97344fg |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.19 |
2B |
$624$ |
$192$ |
$3$ |
$4.641670538$ |
$1$ |
|
$3$ |
$688128$ |
$1.788040$ |
$420616192/117$ |
$0.96408$ |
$4.24604$ |
$[0, 0, 0, -239304, 45047288]$ |
\(y^2=x^3-239304x+45047288\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0-8.o.1.3, 24.24.0-8.o.1.2, $\ldots$ |
$[(649, 12771)]$ |
101400.dq3 |
101400bk1 |
101400.dq |
101400bk |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{6} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$688128$ |
$1.696880$ |
$420616192/117$ |
$0.96408$ |
$4.13610$ |
$[0, 1, 0, -166183, 26013638]$ |
\(y^2=x^3+x^2-166183x+26013638\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 20.12.0-4.c.1.2, 26.6.0.b.1, $\ldots$ |
$[]$ |
112632.s3 |
112632y1 |
112632.s |
112632y |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 13 \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$11856$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$1$ |
$193536$ |
$1.081905$ |
$420616192/117$ |
$0.96408$ |
$3.46431$ |
$[0, 1, 0, -14199, -655830]$ |
\(y^2=x^3+x^2-14199x-655830\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[]$ |
113256.br3 |
113256o1 |
113256.br |
113256o |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 11^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$6864$ |
$192$ |
$3$ |
$1.709274113$ |
$1$ |
|
$5$ |
$368640$ |
$1.357941$ |
$420616192/117$ |
$0.96408$ |
$3.74730$ |
$[0, 0, 0, -42834, 3411353]$ |
\(y^2=x^3-42834x+3411353\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[(124, 81)]$ |
122304.bc3 |
122304cb1 |
122304.bc |
122304cb |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{2} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$4368$ |
$192$ |
$3$ |
$5.296709458$ |
$1$ |
|
$3$ |
$147456$ |
$0.929214$ |
$420616192/117$ |
$0.96408$ |
$3.28353$ |
$[0, -1, 0, -7709, -257907]$ |
\(y^2=x^3-x^2-7709x-257907\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[(349, 6280)]$ |
122304.fm3 |
122304il1 |
122304.fm |
122304il |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{2} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$4368$ |
$192$ |
$3$ |
$2.452526164$ |
$1$ |
|
$3$ |
$147456$ |
$0.929214$ |
$420616192/117$ |
$0.96408$ |
$3.28353$ |
$[0, 1, 0, -7709, 257907]$ |
\(y^2=x^3+x^2-7709x+257907\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[(67, 216)]$ |
165048.o3 |
165048bn1 |
165048.o |
165048bn |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 13 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$14352$ |
$192$ |
$3$ |
$2.995003479$ |
$1$ |
|
$3$ |
$360448$ |
$1.177433$ |
$420616192/117$ |
$0.96408$ |
$3.44954$ |
$[0, -1, 0, -20807, -1148028]$ |
\(y^2=x^3-x^2-20807x-1148028\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[(1043, 33327)]$ |
180336.bi3 |
180336dc1 |
180336.bi |
180336dc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$10608$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$1$ |
$327680$ |
$1.026293$ |
$420616192/117$ |
$0.96408$ |
$3.27443$ |
$[0, -1, 0, -11367, -462582]$ |
\(y^2=x^3-x^2-11367x-462582\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[]$ |
187200.be3 |
187200kt1 |
187200.be |
187200kt |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$3.685429176$ |
$1$ |
|
$3$ |
$524288$ |
$1.310286$ |
$420616192/117$ |
$0.96408$ |
$3.54508$ |
$[0, 0, 0, -35400, -2563000]$ |
\(y^2=x^3-35400x-2563000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[(290, 3400)]$ |
187200.po3 |
187200gd1 |
187200.po |
187200gd |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$524288$ |
$1.310286$ |
$420616192/117$ |
$0.96408$ |
$3.54508$ |
$[0, 0, 0, -35400, 2563000]$ |
\(y^2=x^3-35400x+2563000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[]$ |
198744.cj3 |
198744i1 |
198744.cj |
198744i |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 7^{6} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$4368$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1548288$ |
$1.865116$ |
$420616192/117$ |
$0.96408$ |
$4.07343$ |
$[0, 1, 0, -325719, -71641998]$ |
\(y^2=x^3+x^2-325719x-71641998\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 28.12.0-4.c.1.2, $\ldots$ |
$[]$ |
202800.i3 |
202800jc1 |
202800.i |
202800jc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{6} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$10.90876401$ |
$1$ |
|
$1$ |
$1376256$ |
$1.696880$ |
$420616192/117$ |
$0.96408$ |
$3.90149$ |
$[0, -1, 0, -166183, -26013638]$ |
\(y^2=x^3-x^2-166183x-26013638\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 20.12.0-4.c.1.1, 26.6.0.b.1, $\ldots$ |
$[(-199902/29, 851824/29)]$ |
225264.i3 |
225264ck1 |
225264.i |
225264ck |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$11856$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$387072$ |
$1.081905$ |
$420616192/117$ |
$0.96408$ |
$3.26948$ |
$[0, -1, 0, -14199, 655830]$ |
\(y^2=x^3-x^2-14199x+655830\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[]$ |
226512.fq3 |
226512fo1 |
226512.fq |
226512fo |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 11^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$6864$ |
$192$ |
$3$ |
$18.55065732$ |
$1$ |
|
$1$ |
$737280$ |
$1.357941$ |
$420616192/117$ |
$0.96408$ |
$3.53665$ |
$[0, 0, 0, -42834, -3411353]$ |
\(y^2=x^3-42834x-3411353\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[(316904039/455, 5586952621788/455)]$ |
262392.bb3 |
262392bb1 |
262392.bb |
262392bb |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 13 \cdot 29^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$18096$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$802816$ |
$1.293335$ |
$420616192/117$ |
$0.96408$ |
$3.43284$ |
$[0, 1, 0, -33079, 2304122]$ |
\(y^2=x^3+x^2-33079x+2304122\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[]$ |
270504.h3 |
270504h1 |
270504.h |
270504h |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 13 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$10608$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$1310720$ |
$1.575600$ |
$420616192/117$ |
$0.96408$ |
$3.69528$ |
$[0, 0, 0, -102306, -12592019]$ |
\(y^2=x^3-102306x-12592019\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[]$ |
299832.m3 |
299832m1 |
299832.m |
299832m |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 13 \cdot 31^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$19344$ |
$192$ |
$3$ |
$15.29849992$ |
$1$ |
|
$1$ |
$967680$ |
$1.326679$ |
$420616192/117$ |
$0.96408$ |
$3.42826$ |
$[0, 1, 0, -37799, -2840538]$ |
\(y^2=x^3+x^2-37799x-2840538\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[(-27599522/497, 2571630732/497)]$ |
302016.dp3 |
302016dp1 |
302016.dp |
302016dp |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{2} \cdot 11^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$6864$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$737280$ |
$1.155207$ |
$420616192/117$ |
$0.96408$ |
$3.26322$ |
$[0, -1, 0, -19037, 1017117]$ |
\(y^2=x^3-x^2-19037x+1017117\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[]$ |
302016.gw3 |
302016gw1 |
302016.gw |
302016gw |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{2} \cdot 11^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$6864$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$1$ |
$737280$ |
$1.155207$ |
$420616192/117$ |
$0.96408$ |
$3.26322$ |
$[0, 1, 0, -19037, -1017117]$ |
\(y^2=x^3+x^2-19037x-1017117\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[]$ |
304200.ft3 |
304200ft1 |
304200.ft |
304200ft |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{6} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$9.435444318$ |
$1$ |
|
$1$ |
$5505024$ |
$2.246185$ |
$420616192/117$ |
$0.96408$ |
$4.29829$ |
$[0, 0, 0, -1495650, -703863875]$ |
\(y^2=x^3-1495650x-703863875\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[(35486/5, 718641/5)]$ |
330096.de3 |
330096de1 |
330096.de |
330096de |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$14352$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$1$ |
$720896$ |
$1.177433$ |
$420616192/117$ |
$0.96408$ |
$3.26138$ |
$[0, 1, 0, -20807, 1148028]$ |
\(y^2=x^3+x^2-20807x+1148028\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[]$ |
337896.bq3 |
337896bq1 |
337896.bq |
337896bq |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 13 \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 13 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$11856$ |
$192$ |
$3$ |
$4.739349431$ |
$1$ |
|
$3$ |
$1548288$ |
$1.631212$ |
$420616192/117$ |
$0.96408$ |
$3.68314$ |
$[0, 0, 0, -127794, 17579617]$ |
\(y^2=x^3-127794x+17579617\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[(-379, 3402)]$ |