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 |
62.a3 |
62a2 |
62.a |
62a |
$4$ |
$4$ |
\( 2 \cdot 31 \) |
\( 2^{2} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.1 |
2Cs |
$248$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$4$ |
$-0.454651$ |
$979146657/3844$ |
$1.02504$ |
$5.01612$ |
$[1, -1, 1, -21, 41]$ |
\(y^2+xy+y=x^3-x^2-21x+41\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 124.24.0.?, 248.48.0.? |
$[]$ |
496.b3 |
496f2 |
496.b |
496f |
$4$ |
$4$ |
\( 2^{4} \cdot 31 \) |
\( 2^{14} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.2 |
2Cs |
$248$ |
$48$ |
$0$ |
$3.208759892$ |
$1$ |
|
$5$ |
$96$ |
$0.238496$ |
$979146657/3844$ |
$1.02504$ |
$4.67568$ |
$[0, 0, 0, -331, -2310]$ |
\(y^2=x^3-331x-2310\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.1, 124.24.0.?, 248.48.0.? |
$[(39, 210)]$ |
558.c3 |
558c2 |
558.c |
558c |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 31 \) |
\( 2^{2} \cdot 3^{6} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$744$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$128$ |
$0.094655$ |
$979146657/3844$ |
$1.02504$ |
$4.31567$ |
$[1, -1, 0, -186, -928]$ |
\(y^2+xy=x^3-x^2-186x-928\) |
2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.2, 124.12.0.?, $\ldots$ |
$[]$ |
1550.c3 |
1550a2 |
1550.c |
1550a |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 31 \) |
\( 2^{2} \cdot 5^{6} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$1240$ |
$48$ |
$0$ |
$1.045482327$ |
$1$ |
|
$10$ |
$512$ |
$0.350068$ |
$979146657/3844$ |
$1.02504$ |
$4.13269$ |
$[1, -1, 0, -517, 4641]$ |
\(y^2+xy=x^3-x^2-517x+4641\) |
2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 40.24.0-8.a.1.2, 124.12.0.?, $\ldots$ |
$[(5, 44)]$ |
1922.d3 |
1922d2 |
1922.d |
1922d |
$4$ |
$4$ |
\( 2 \cdot 31^{2} \) |
\( 2^{2} \cdot 31^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.5 |
2Cs |
$248$ |
$48$ |
$0$ |
$18.89114280$ |
$1$ |
|
$2$ |
$3840$ |
$1.262342$ |
$979146657/3844$ |
$1.02504$ |
$5.46296$ |
$[1, -1, 1, -19881, -1070299]$ |
\(y^2+xy+y=x^3-x^2-19881x-1070299\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.3, 124.24.0.?, 248.48.0.? |
$[(225517435/103, 3374899848614/103)]$ |
1984.f3 |
1984b2 |
1984.f |
1984b |
$4$ |
$4$ |
\( 2^{6} \cdot 31 \) |
\( 2^{20} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.1 |
2Cs |
$248$ |
$48$ |
$0$ |
$4.073673831$ |
$1$ |
|
$5$ |
$768$ |
$0.585070$ |
$979146657/3844$ |
$1.02504$ |
$4.36974$ |
$[0, 0, 0, -1324, 18480]$ |
\(y^2=x^3-1324x+18480\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.2, 124.24.0.?, 248.48.0.? |
$[(120, 1260)]$ |
1984.g3 |
1984j2 |
1984.g |
1984j |
$4$ |
$4$ |
\( 2^{6} \cdot 31 \) |
\( 2^{20} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.2 |
2Cs |
$248$ |
$48$ |
$0$ |
$8.078488591$ |
$1$ |
|
$3$ |
$768$ |
$0.585070$ |
$979146657/3844$ |
$1.02504$ |
$4.36974$ |
$[0, 0, 0, -1324, -18480]$ |
\(y^2=x^3-1324x-18480\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.1, 124.24.0.?, 248.48.0.? |
$[(5420/7, 373920/7)]$ |
3038.j3 |
3038i2 |
3038.j |
3038i |
$4$ |
$4$ |
\( 2 \cdot 7^{2} \cdot 31 \) |
\( 2^{2} \cdot 7^{6} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$1736$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$1536$ |
$0.518304$ |
$979146657/3844$ |
$1.02504$ |
$4.03764$ |
$[1, -1, 1, -1014, -12127]$ |
\(y^2+xy+y=x^3-x^2-1014x-12127\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0-2.a.1.1, 56.24.0-8.a.1.2, 124.12.0.?, $\ldots$ |
$[]$ |
4464.s3 |
4464x2 |
4464.s |
4464x |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 31 \) |
\( 2^{14} \cdot 3^{6} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$744$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3072$ |
$0.787802$ |
$979146657/3844$ |
$1.02504$ |
$4.23756$ |
$[0, 0, 0, -2979, 62370]$ |
\(y^2=x^3-2979x+62370\) |
2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.1, 124.12.0.?, $\ldots$ |
$[]$ |
7502.b3 |
7502a2 |
7502.b |
7502a |
$4$ |
$4$ |
\( 2 \cdot 11^{2} \cdot 31 \) |
\( 2^{2} \cdot 11^{6} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$2728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$5760$ |
$0.744296$ |
$979146657/3844$ |
$1.02504$ |
$3.93252$ |
$[1, -1, 0, -2503, -47415]$ |
\(y^2+xy=x^3-x^2-2503x-47415\) |
2.6.0.a.1, 8.12.0.a.1, 44.12.0-2.a.1.1, 88.24.0.?, 124.12.0.?, $\ldots$ |
$[]$ |
10478.f3 |
10478e2 |
10478.f |
10478e |
$4$ |
$4$ |
\( 2 \cdot 13^{2} \cdot 31 \) |
\( 2^{2} \cdot 13^{6} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$3224$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$9216$ |
$0.827824$ |
$979146657/3844$ |
$1.02504$ |
$3.89886$ |
$[1, -1, 0, -3496, 80172]$ |
\(y^2+xy=x^3-x^2-3496x+80172\) |
2.6.0.a.1, 8.12.0.a.1, 52.12.0-2.a.1.1, 104.24.0.?, 124.12.0.?, $\ldots$ |
$[]$ |
12400.q3 |
12400r2 |
12400.q |
12400r |
$4$ |
$4$ |
\( 2^{4} \cdot 5^{2} \cdot 31 \) |
\( 2^{14} \cdot 5^{6} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$1240$ |
$48$ |
$0$ |
$4.388222889$ |
$1$ |
|
$5$ |
$12288$ |
$1.043215$ |
$979146657/3844$ |
$1.02504$ |
$4.10342$ |
$[0, 0, 0, -8275, -288750]$ |
\(y^2=x^3-8275x-288750\) |
2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 40.24.0-8.a.1.1, 124.12.0.?, $\ldots$ |
$[(350, 6300)]$ |
13950.ch3 |
13950cc2 |
13950.ch |
13950cc |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 31 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{6} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$3720$ |
$48$ |
$0$ |
$3.107292143$ |
$1$ |
|
$4$ |
$16384$ |
$0.899374$ |
$979146657/3844$ |
$1.02504$ |
$3.87190$ |
$[1, -1, 1, -4655, -120653]$ |
\(y^2+xy+y=x^3-x^2-4655x-120653\) |
2.6.0.a.1, 8.12.0.a.1, 60.12.0-2.a.1.1, 120.24.0.?, 124.12.0.?, $\ldots$ |
$[(119, 940)]$ |
15376.o3 |
15376u2 |
15376.o |
15376u |
$4$ |
$4$ |
\( 2^{4} \cdot 31^{2} \) |
\( 2^{14} \cdot 31^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.5 |
2Cs |
$248$ |
$48$ |
$0$ |
$9.368094936$ |
$1$ |
|
$3$ |
$92160$ |
$1.955490$ |
$979146657/3844$ |
$1.02504$ |
$5.14740$ |
$[0, 0, 0, -318091, 68817210]$ |
\(y^2=x^3-318091x+68817210\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.3, 124.24.0.?, 248.48.0.? |
$[(27959/7, 2932350/7)]$ |
17298.g3 |
17298i2 |
17298.g |
17298i |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 31^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 31^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$744$ |
$48$ |
$0$ |
$4.555592347$ |
$1$ |
|
$4$ |
$122880$ |
$1.811649$ |
$979146657/3844$ |
$1.02504$ |
$4.90839$ |
$[1, -1, 0, -178926, 29076992]$ |
\(y^2+xy=x^3-x^2-178926x+29076992\) |
2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.3, 124.12.0.?, $\ldots$ |
$[(-38, 6004)]$ |
17856.r3 |
17856q2 |
17856.r |
17856q |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 31 \) |
\( 2^{20} \cdot 3^{6} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$744$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$24576$ |
$1.134377$ |
$979146657/3844$ |
$1.02504$ |
$4.06232$ |
$[0, 0, 0, -11916, -498960]$ |
\(y^2=x^3-11916x-498960\) |
2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.2, 124.12.0.?, $\ldots$ |
$[]$ |
17856.s3 |
17856ce2 |
17856.s |
17856ce |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 31 \) |
\( 2^{20} \cdot 3^{6} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$744$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$24576$ |
$1.134377$ |
$979146657/3844$ |
$1.02504$ |
$4.06232$ |
$[0, 0, 0, -11916, 498960]$ |
\(y^2=x^3-11916x+498960\) |
2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.1, 124.12.0.?, $\ldots$ |
$[]$ |
17918.e3 |
17918e2 |
17918.e |
17918e |
$4$ |
$4$ |
\( 2 \cdot 17^{2} \cdot 31 \) |
\( 2^{2} \cdot 17^{6} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$4216$ |
$48$ |
$0$ |
$7.890694680$ |
$1$ |
|
$2$ |
$18432$ |
$0.961955$ |
$979146657/3844$ |
$1.02504$ |
$3.84962$ |
$[1, -1, 1, -5979, 178823]$ |
\(y^2+xy+y=x^3-x^2-5979x+178823\) |
2.6.0.a.1, 8.12.0.a.1, 68.12.0-2.a.1.1, 124.12.0.?, 136.24.0.?, $\ldots$ |
$[(4351/7, 185240/7)]$ |
22382.d3 |
22382c2 |
22382.d |
22382c |
$4$ |
$4$ |
\( 2 \cdot 19^{2} \cdot 31 \) |
\( 2^{2} \cdot 19^{6} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$4712$ |
$48$ |
$0$ |
$4.786390268$ |
$1$ |
|
$2$ |
$27648$ |
$1.017569$ |
$979146657/3844$ |
$1.02504$ |
$3.83075$ |
$[1, -1, 0, -7468, -245700]$ |
\(y^2+xy=x^3-x^2-7468x-245700\) |
2.6.0.a.1, 8.12.0.a.1, 76.12.0.?, 124.12.0.?, 152.24.0.?, $\ldots$ |
$[(1831/3, 66746/3)]$ |
24304.q3 |
24304n2 |
24304.q |
24304n |
$4$ |
$4$ |
\( 2^{4} \cdot 7^{2} \cdot 31 \) |
\( 2^{14} \cdot 7^{6} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$1736$ |
$48$ |
$0$ |
$3.509218551$ |
$1$ |
|
$5$ |
$36864$ |
$1.211451$ |
$979146657/3844$ |
$1.02504$ |
$4.02989$ |
$[0, 0, 0, -16219, 792330]$ |
\(y^2=x^3-16219x+792330\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0-2.a.1.1, 56.24.0-8.a.1.1, 124.12.0.?, $\ldots$ |
$[(95, 330)]$ |
27342.g3 |
27342q2 |
27342.g |
27342q |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 31 \) |
\( 2^{2} \cdot 3^{6} \cdot 7^{6} \cdot 31^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$5208$ |
$48$ |
$0$ |
$1.417978797$ |
$1$ |
|
$30$ |
$49152$ |
$1.067610$ |
$979146657/3844$ |
$1.02504$ |
$3.81447$ |
$[1, -1, 0, -9123, 336545]$ |
\(y^2+xy=x^3-x^2-9123x+336545\) |
2.6.0.a.1, 8.12.0.a.1, 84.12.0.?, 124.12.0.?, 168.24.0.?, $\ldots$ |
$[(37, 202), (65, 90)]$ |
32798.i3 |
32798e2 |
32798.i |
32798e |
$4$ |
$4$ |
\( 2 \cdot 23^{2} \cdot 31 \) |
\( 2^{2} \cdot 23^{6} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$5704$ |
$48$ |
$0$ |
$21.04954846$ |
$1$ |
|
$2$ |
$45056$ |
$1.113096$ |
$979146657/3844$ |
$1.02504$ |
$3.80022$ |
$[1, -1, 1, -10944, -436417]$ |
\(y^2+xy+y=x^3-x^2-10944x-436417\) |
2.6.0.a.1, 8.12.0.a.1, 92.12.0.?, 124.12.0.?, 184.24.0.?, $\ldots$ |
$[(1416363201/3007, 33040075470865/3007)]$ |
48050.h3 |
48050b2 |
48050.h |
48050b |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 31^{2} \) |
\( 2^{2} \cdot 5^{6} \cdot 31^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$1240$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$491520$ |
$2.067062$ |
$979146657/3844$ |
$1.02504$ |
$4.72753$ |
$[1, -1, 0, -497017, -134284359]$ |
\(y^2+xy=x^3-x^2-497017x-134284359\) |
2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 40.24.0-8.a.1.3, 124.12.0.?, $\ldots$ |
$[]$ |
49600.bl3 |
49600a2 |
49600.bl |
49600a |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 31 \) |
\( 2^{20} \cdot 5^{6} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$1240$ |
$48$ |
$0$ |
$3.965716135$ |
$1$ |
|
$7$ |
$98304$ |
$1.389788$ |
$979146657/3844$ |
$1.02504$ |
$3.96194$ |
$[0, 0, 0, -33100, 2310000]$ |
\(y^2=x^3-33100x+2310000\) |
2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 40.24.0-8.a.1.2, 124.12.0.?, $\ldots$ |
$[(-179, 1581)]$ |
49600.bm3 |
49600bw2 |
49600.bm |
49600bw |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 31 \) |
\( 2^{20} \cdot 5^{6} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$1240$ |
$48$ |
$0$ |
$8.972119633$ |
$1$ |
|
$3$ |
$98304$ |
$1.389788$ |
$979146657/3844$ |
$1.02504$ |
$3.96194$ |
$[0, 0, 0, -33100, -2310000]$ |
\(y^2=x^3-33100x-2310000\) |
2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 40.24.0-8.a.1.1, 124.12.0.?, $\ldots$ |
$[(70300/9, 18191600/9)]$ |
52142.d3 |
52142b2 |
52142.d |
52142b |
$4$ |
$4$ |
\( 2 \cdot 29^{2} \cdot 31 \) |
\( 2^{2} \cdot 29^{6} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$7192$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$100352$ |
$1.228996$ |
$979146657/3844$ |
$1.02504$ |
$3.76607$ |
$[1, -1, 0, -17398, 884640]$ |
\(y^2+xy=x^3-x^2-17398x+884640\) |
2.6.0.a.1, 8.12.0.a.1, 116.12.0.?, 124.12.0.?, 232.24.0.?, $\ldots$ |
$[]$ |
60016.f3 |
60016n2 |
60016.f |
60016n |
$4$ |
$4$ |
\( 2^{4} \cdot 11^{2} \cdot 31 \) |
\( 2^{14} \cdot 11^{6} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$2728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$138240$ |
$1.437443$ |
$979146657/3844$ |
$1.02504$ |
$3.94527$ |
$[0, 0, 0, -40051, 3074610]$ |
\(y^2=x^3-40051x+3074610\) |
2.6.0.a.1, 8.12.0.a.1, 44.12.0-2.a.1.1, 88.24.0.?, 124.12.0.?, $\ldots$ |
$[]$ |
61504.bd3 |
61504k2 |
61504.bd |
61504k |
$4$ |
$4$ |
\( 2^{6} \cdot 31^{2} \) |
\( 2^{20} \cdot 31^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.7 |
2Cs |
$248$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$3$ |
$737280$ |
$2.302063$ |
$979146657/3844$ |
$1.02504$ |
$4.87743$ |
$[0, 0, 0, -1272364, -550537680]$ |
\(y^2=x^3-1272364x-550537680\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 8.24.0-8.a.1.4, 124.24.0.?, 248.48.0.? |
$[]$ |
61504.be3 |
61504bm2 |
61504.be |
61504bm |
$4$ |
$4$ |
\( 2^{6} \cdot 31^{2} \) |
\( 2^{20} \cdot 31^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.7 |
2Cs |
$248$ |
$48$ |
$0$ |
$28.16969291$ |
$1$ |
|
$3$ |
$737280$ |
$2.302063$ |
$979146657/3844$ |
$1.02504$ |
$4.87743$ |
$[0, 0, 0, -1272364, 550537680]$ |
\(y^2=x^3-1272364x+550537680\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 8.24.0-8.a.1.4, 124.24.0.?, 248.48.0.? |
$[(3434450829420/14089, 6351615930286500720/14089)]$ |
67518.bx3 |
67518bo2 |
67518.bx |
67518bo |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \) |
\( 2^{2} \cdot 3^{6} \cdot 11^{6} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$8184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$184320$ |
$1.293602$ |
$979146657/3844$ |
$1.02504$ |
$3.74826$ |
$[1, -1, 1, -22529, 1302733]$ |
\(y^2+xy+y=x^3-x^2-22529x+1302733\) |
2.6.0.a.1, 8.12.0.a.1, 124.12.0.?, 132.12.0.?, 248.24.0.?, $\ldots$ |
$[]$ |
75950.y3 |
75950t2 |
75950.y |
75950t |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 31 \) |
\( 2^{2} \cdot 5^{6} \cdot 7^{6} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$8680$ |
$48$ |
$0$ |
$2.183132839$ |
$1$ |
|
$8$ |
$196608$ |
$1.323023$ |
$979146657/3844$ |
$1.02504$ |
$3.74043$ |
$[1, -1, 0, -25342, -1541184]$ |
\(y^2+xy=x^3-x^2-25342x-1541184\) |
2.6.0.a.1, 8.12.0.a.1, 124.12.0.?, 140.12.0.?, 248.24.0.?, $\ldots$ |
$[(-95, 1)]$ |
83824.p3 |
83824k2 |
83824.p |
83824k |
$4$ |
$4$ |
\( 2^{4} \cdot 13^{2} \cdot 31 \) |
\( 2^{14} \cdot 13^{6} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$3224$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$221184$ |
$1.520971$ |
$979146657/3844$ |
$1.02504$ |
$3.91741$ |
$[0, 0, 0, -55939, -5075070]$ |
\(y^2=x^3-55939x-5075070\) |
2.6.0.a.1, 8.12.0.a.1, 52.12.0-2.a.1.1, 104.24.0.?, 124.12.0.?, $\ldots$ |
$[]$ |
84878.d3 |
84878c2 |
84878.d |
84878c |
$4$ |
$4$ |
\( 2 \cdot 31 \cdot 37^{2} \) |
\( 2^{2} \cdot 31^{2} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$9176$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$193536$ |
$1.350807$ |
$979146657/3844$ |
$1.02504$ |
$3.73318$ |
$[1, -1, 0, -28321, 1835337]$ |
\(y^2+xy=x^3-x^2-28321x+1835337\) |
2.6.0.a.1, 8.12.0.a.1, 124.12.0.?, 148.12.0.?, 248.24.0.?, $\ldots$ |
$[]$ |
94178.x3 |
94178u2 |
94178.x |
94178u |
$4$ |
$4$ |
\( 2 \cdot 7^{2} \cdot 31^{2} \) |
\( 2^{2} \cdot 7^{6} \cdot 31^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$1736$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$1474560$ |
$2.235298$ |
$979146657/3844$ |
$1.02504$ |
$4.62602$ |
$[1, -1, 1, -974154, 369060773]$ |
\(y^2+xy+y=x^3-x^2-974154x+369060773\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0-2.a.1.1, 56.24.0-8.a.1.3, 124.12.0.?, $\ldots$ |
$[]$ |
94302.bs3 |
94302cg2 |
94302.bs |
94302cg |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 31 \) |
\( 2^{2} \cdot 3^{6} \cdot 13^{6} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$9672$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$294912$ |
$1.377129$ |
$979146657/3844$ |
$1.02504$ |
$3.72644$ |
$[1, -1, 1, -31466, -2133179]$ |
\(y^2+xy+y=x^3-x^2-31466x-2133179\) |
2.6.0.a.1, 8.12.0.a.1, 124.12.0.?, 156.12.0.?, 248.24.0.?, $\ldots$ |
$[]$ |
97216.w3 |
97216bn2 |
97216.w |
97216bn |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \cdot 31 \) |
\( 2^{20} \cdot 7^{6} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$1736$ |
$48$ |
$0$ |
$3.724145166$ |
$1$ |
|
$7$ |
$294912$ |
$1.558025$ |
$979146657/3844$ |
$1.02504$ |
$3.90557$ |
$[0, 0, 0, -64876, 6338640]$ |
\(y^2=x^3-64876x+6338640\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0-2.a.1.1, 56.24.0-8.a.1.1, 124.12.0.?, $\ldots$ |
$[(156, 120)]$ |
97216.x3 |
97216s2 |
97216.x |
97216s |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \cdot 31 \) |
\( 2^{20} \cdot 7^{6} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$1736$ |
$48$ |
$0$ |
$2.418125204$ |
$4$ |
$2$ |
$11$ |
$294912$ |
$1.558025$ |
$979146657/3844$ |
$1.02504$ |
$3.90557$ |
$[0, 0, 0, -64876, -6338640]$ |
\(y^2=x^3-64876x-6338640\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0-2.a.1.1, 56.24.0-8.a.1.2, 124.12.0.?, $\ldots$ |
$[(-147, 147)]$ |
104222.b3 |
104222a2 |
104222.b |
104222a |
$4$ |
$4$ |
\( 2 \cdot 31 \cdot 41^{2} \) |
\( 2^{2} \cdot 31^{2} \cdot 41^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$10168$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$276480$ |
$1.402134$ |
$979146657/3844$ |
$1.02504$ |
$3.72015$ |
$[1, -1, 1, -34776, 2496311]$ |
\(y^2+xy+y=x^3-x^2-34776x+2496311\) |
2.6.0.a.1, 8.12.0.a.1, 124.12.0.?, 164.12.0.?, 248.24.0.?, $\ldots$ |
$[]$ |
111600.dy3 |
111600ep2 |
111600.dy |
111600ep |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 31 \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{6} \cdot 31^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$3720$ |
$48$ |
$0$ |
$2.556434277$ |
$1$ |
|
$27$ |
$393216$ |
$1.592522$ |
$979146657/3844$ |
$1.02504$ |
$3.89482$ |
$[0, 0, 0, -74475, 7796250]$ |
\(y^2=x^3-74475x+7796250\) |
2.6.0.a.1, 8.12.0.a.1, 60.12.0-2.a.1.1, 120.24.0.?, 124.12.0.?, $\ldots$ |
$[(181, 496), (175, 350)]$ |
114638.d3 |
114638b2 |
114638.d |
114638b |
$4$ |
$4$ |
\( 2 \cdot 31 \cdot 43^{2} \) |
\( 2^{2} \cdot 31^{2} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$10664$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$314496$ |
$1.425949$ |
$979146657/3844$ |
$1.02504$ |
$3.71426$ |
$[1, -1, 0, -38251, -2860143]$ |
\(y^2+xy=x^3-x^2-38251x-2860143\) |
2.6.0.a.1, 8.12.0.a.1, 124.12.0.?, 172.12.0.?, 248.24.0.?, $\ldots$ |
$[]$ |
136958.n3 |
136958e2 |
136958.n |
136958e |
$4$ |
$4$ |
\( 2 \cdot 31 \cdot 47^{2} \) |
\( 2^{2} \cdot 31^{2} \cdot 47^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$11656$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$412160$ |
$1.470423$ |
$979146657/3844$ |
$1.02504$ |
$3.70352$ |
$[1, -1, 1, -45699, -3735937]$ |
\(y^2+xy+y=x^3-x^2-45699x-3735937\) |
2.6.0.a.1, 8.12.0.a.1, 124.12.0.?, 188.12.0.?, 248.24.0.?, $\ldots$ |
$[]$ |
138384.cm3 |
138384r2 |
138384.cm |
138384r |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 31^{2} \) |
\( 2^{14} \cdot 3^{6} \cdot 31^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$744$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2949120$ |
$2.504795$ |
$979146657/3844$ |
$1.02504$ |
$4.74882$ |
$[0, 0, 0, -2862819, -1858064670]$ |
\(y^2=x^3-2862819x-1858064670\) |
2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.3, 124.12.0.?, $\ldots$ |
$[]$ |
143344.m3 |
143344h2 |
143344.m |
143344h |
$4$ |
$4$ |
\( 2^{4} \cdot 17^{2} \cdot 31 \) |
\( 2^{14} \cdot 17^{6} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$4216$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$442368$ |
$1.655102$ |
$979146657/3844$ |
$1.02504$ |
$3.87596$ |
$[0, 0, 0, -95659, -11349030]$ |
\(y^2=x^3-95659x-11349030\) |
2.6.0.a.1, 8.12.0.a.1, 68.12.0-2.a.1.1, 124.12.0.?, 136.24.0.?, $\ldots$ |
$[]$ |
161262.c3 |
161262l2 |
161262.c |
161262l |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 31 \) |
\( 2^{2} \cdot 3^{6} \cdot 17^{6} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$12648$ |
$48$ |
$0$ |
$3.881496312$ |
$1$ |
|
$4$ |
$589824$ |
$1.511261$ |
$979146657/3844$ |
$1.02504$ |
$3.69393$ |
$[1, -1, 0, -53808, -4774420]$ |
\(y^2+xy=x^3-x^2-53808x-4774420\) |
2.6.0.a.1, 8.12.0.a.1, 124.12.0.?, 204.12.0.?, 248.24.0.?, $\ldots$ |
$[(1012, 30742)]$ |
174158.f3 |
174158n2 |
174158.f |
174158n |
$4$ |
$4$ |
\( 2 \cdot 31 \cdot 53^{2} \) |
\( 2^{2} \cdot 31^{2} \cdot 53^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$13144$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$599040$ |
$1.530495$ |
$979146657/3844$ |
$1.02504$ |
$3.68951$ |
$[1, -1, 0, -58111, 5388057]$ |
\(y^2+xy=x^3-x^2-58111x+5388057\) |
2.6.0.a.1, 8.12.0.a.1, 124.12.0.?, 212.12.0.?, 248.24.0.?, $\ldots$ |
$[]$ |
179056.m3 |
179056g2 |
179056.m |
179056g |
$4$ |
$4$ |
\( 2^{4} \cdot 19^{2} \cdot 31 \) |
\( 2^{14} \cdot 19^{6} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$4712$ |
$48$ |
$0$ |
$2.600442445$ |
$1$ |
|
$7$ |
$663552$ |
$1.710716$ |
$979146657/3844$ |
$1.02504$ |
$3.85985$ |
$[0, 0, 0, -119491, 15844290]$ |
\(y^2=x^3-119491x+15844290\) |
2.6.0.a.1, 8.12.0.a.1, 76.12.0.?, 124.12.0.?, 152.24.0.?, $\ldots$ |
$[(159, 930)]$ |
187550.bl3 |
187550p2 |
187550.bl |
187550p |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 31 \) |
\( 2^{2} \cdot 5^{6} \cdot 11^{6} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$13640$ |
$48$ |
$0$ |
$7.510346514$ |
$1$ |
|
$2$ |
$737280$ |
$1.549015$ |
$979146657/3844$ |
$1.02504$ |
$3.68530$ |
$[1, -1, 1, -62580, -5989453]$ |
\(y^2+xy+y=x^3-x^2-62580x-5989453\) |
2.6.0.a.1, 8.12.0.a.1, 124.12.0.?, 220.12.0.?, 248.24.0.?, $\ldots$ |
$[(6829/4, 415235/4)]$ |
201438.z3 |
201438i2 |
201438.z |
201438i |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 31 \) |
\( 2^{2} \cdot 3^{6} \cdot 19^{6} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$14136$ |
$48$ |
$0$ |
$6.054764159$ |
$1$ |
|
$4$ |
$884736$ |
$1.566874$ |
$979146657/3844$ |
$1.02504$ |
$3.68129$ |
$[1, -1, 1, -67214, 6701113]$ |
\(y^2+xy+y=x^3-x^2-67214x+6701113\) |
2.6.0.a.1, 8.12.0.a.1, 124.12.0.?, 228.12.0.?, 248.24.0.?, $\ldots$ |
$[(34357, 6350861)]$ |
215822.b3 |
215822c2 |
215822.b |
215822c |
$4$ |
$4$ |
\( 2 \cdot 31 \cdot 59^{2} \) |
\( 2^{2} \cdot 31^{2} \cdot 59^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$14632$ |
$48$ |
$0$ |
$6.587356104$ |
$1$ |
|
$2$ |
$801792$ |
$1.584118$ |
$979146657/3844$ |
$1.02504$ |
$3.67747$ |
$[1, -1, 0, -72013, -7394895]$ |
\(y^2+xy=x^3-x^2-72013x-7394895\) |
2.6.0.a.1, 8.12.0.a.1, 124.12.0.?, 236.12.0.?, 248.24.0.?, $\ldots$ |
$[(-7409/7, 74059/7)]$ |
218736.bg3 |
218736p2 |
218736.bg |
218736p |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 31 \) |
\( 2^{14} \cdot 3^{6} \cdot 7^{6} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$5208$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1179648$ |
$1.760757$ |
$979146657/3844$ |
$1.02504$ |
$3.84585$ |
$[0, 0, 0, -145971, -21392910]$ |
\(y^2=x^3-145971x-21392910\) |
2.6.0.a.1, 8.12.0.a.1, 84.12.0.?, 124.12.0.?, 168.24.0.?, $\ldots$ |
$[]$ |