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 |
57.c1 |
57b3 |
57.c |
57b |
$4$ |
$4$ |
\( 3 \cdot 19 \) |
\( 3^{4} \cdot 19 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$6$ |
$-0.245009$ |
$115714886617/1539$ |
$0.98111$ |
$6.30078$ |
$[1, 0, 1, -102, 385]$ |
\(y^2+xy+y=x^3-102x+385\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.8, 76.24.0.?, 456.48.0.? |
$[]$ |
171.a1 |
171a3 |
171.a |
171a |
$4$ |
$4$ |
\( 3^{2} \cdot 19 \) |
\( 3^{10} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48$ |
$0.304297$ |
$115714886617/1539$ |
$0.98111$ |
$6.23652$ |
$[1, -1, 1, -914, -10402]$ |
\(y^2+xy+y=x^3-x^2-914x-10402\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.z.1.4, $\ldots$ |
$[]$ |
912.b1 |
912g3 |
912.b |
912g |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 19 \) |
\( 2^{12} \cdot 3^{4} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$456$ |
$48$ |
$0$ |
$2.601893913$ |
$1$ |
|
$3$ |
$384$ |
$0.448139$ |
$115714886617/1539$ |
$0.98111$ |
$4.95803$ |
$[0, -1, 0, -1624, -24656]$ |
\(y^2=x^3-x^2-1624x-24656\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.16, 76.24.0.?, 456.48.0.? |
$[(58, 270)]$ |
1083.a1 |
1083b3 |
1083.a |
1083b |
$4$ |
$4$ |
\( 3 \cdot 19^{2} \) |
\( 3^{4} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2160$ |
$1.227211$ |
$115714886617/1539$ |
$0.98111$ |
$6.17404$ |
$[1, 1, 1, -36649, -2715724]$ |
\(y^2+xy+y=x^3+x^2-36649x-2715724\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.1, 76.24.0.?, 456.48.0.? |
$[]$ |
1425.a1 |
1425a3 |
1425.a |
1425a |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 19 \) |
\( 3^{4} \cdot 5^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$0.390921292$ |
$1$ |
|
$10$ |
$768$ |
$0.559711$ |
$115714886617/1539$ |
$0.98111$ |
$4.83770$ |
$[1, 1, 1, -2538, 48156]$ |
\(y^2+xy+y=x^3+x^2-2538x+48156\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.z.1, 76.12.0.?, $\ldots$ |
$[(30, -3)]$ |
2736.s1 |
2736t3 |
2736.s |
2736t |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{10} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.997445$ |
$115714886617/1539$ |
$0.98111$ |
$5.10267$ |
$[0, 0, 0, -14619, 680330]$ |
\(y^2=x^3-14619x+680330\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.z.1.12, $\ldots$ |
$[]$ |
2793.i1 |
2793c3 |
2793.i |
2793c |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 19 \) |
\( 3^{4} \cdot 7^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$6.550251574$ |
$1$ |
|
$0$ |
$2304$ |
$0.727946$ |
$115714886617/1539$ |
$0.98111$ |
$4.68185$ |
$[1, 1, 0, -4974, -137115]$ |
\(y^2+xy=x^3+x^2-4974x-137115\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0-4.c.1.2, 76.12.0.?, $\ldots$ |
$[(3415/6, 99025/6)]$ |
3249.g1 |
3249e3 |
3249.g |
3249e |
$4$ |
$4$ |
\( 3^{2} \cdot 19^{2} \) |
\( 3^{10} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$456$ |
$48$ |
$0$ |
$3.892773922$ |
$1$ |
|
$2$ |
$17280$ |
$1.776518$ |
$115714886617/1539$ |
$0.98111$ |
$6.15039$ |
$[1, -1, 0, -329841, 72994702]$ |
\(y^2+xy=x^3-x^2-329841x+72994702\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.1, 24.24.0-24.z.1.5, $\ldots$ |
$[(2, 8504)]$ |
3648.o1 |
3648g3 |
3648.o |
3648g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{18} \cdot 3^{4} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.794712$ |
$115714886617/1539$ |
$0.98111$ |
$4.62708$ |
$[0, -1, 0, -6497, 203745]$ |
\(y^2=x^3-x^2-6497x+203745\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.z.1.14, 76.12.0.?, $\ldots$ |
$[]$ |
3648.bf1 |
3648bf3 |
3648.bf |
3648bf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{18} \cdot 3^{4} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$456$ |
$48$ |
$0$ |
$2.106375061$ |
$1$ |
|
$3$ |
$3072$ |
$0.794712$ |
$115714886617/1539$ |
$0.98111$ |
$4.62708$ |
$[0, 1, 0, -6497, -203745]$ |
\(y^2=x^3+x^2-6497x-203745\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.z.1.6, 76.12.0.?, $\ldots$ |
$[(103, 480)]$ |
4275.m1 |
4275e3 |
4275.m |
4275e |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 3^{10} \cdot 5^{6} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6144$ |
$1.109016$ |
$115714886617/1539$ |
$0.98111$ |
$4.99043$ |
$[1, -1, 0, -22842, -1323059]$ |
\(y^2+xy=x^3-x^2-22842x-1323059\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 40.12.0-4.c.1.5, 60.12.0-4.c.1.2, $\ldots$ |
$[]$ |
6897.a1 |
6897f3 |
6897.a |
6897f |
$4$ |
$4$ |
\( 3 \cdot 11^{2} \cdot 19 \) |
\( 3^{4} \cdot 11^{6} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5016$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8640$ |
$0.953939$ |
$115714886617/1539$ |
$0.98111$ |
$4.50984$ |
$[1, 0, 0, -12284, -525051]$ |
\(y^2+xy=x^3-12284x-525051\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 44.12.0-4.c.1.2, 76.12.0.?, $\ldots$ |
$[]$ |
8379.e1 |
8379n3 |
8379.e |
8379n |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 19 \) |
\( 3^{10} \cdot 7^{6} \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1.841944016$ |
$1$ |
|
$16$ |
$18432$ |
$1.277252$ |
$115714886617/1539$ |
$0.98111$ |
$4.84216$ |
$[1, -1, 1, -44771, 3657336]$ |
\(y^2+xy+y=x^3-x^2-44771x+3657336\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 56.12.0-4.c.1.5, 76.12.0.?, $\ldots$ |
$[(86, 618), (122, -57)]$ |
9633.h1 |
9633m3 |
9633.h |
9633m |
$4$ |
$4$ |
\( 3 \cdot 13^{2} \cdot 19 \) |
\( 3^{4} \cdot 13^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5928$ |
$48$ |
$0$ |
$1.593429450$ |
$1$ |
|
$4$ |
$11520$ |
$1.037466$ |
$115714886617/1539$ |
$0.98111$ |
$4.45485$ |
$[1, 0, 0, -17157, 863550]$ |
\(y^2+xy=x^3-17157x+863550\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 52.12.0-4.c.1.2, 76.12.0.?, $\ldots$ |
$[(75, -45)]$ |
10944.n1 |
10944cb3 |
10944.n |
10944cb |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{18} \cdot 3^{10} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$456$ |
$48$ |
$0$ |
$1.053945323$ |
$1$ |
|
$7$ |
$24576$ |
$1.344019$ |
$115714886617/1539$ |
$0.98111$ |
$4.78926$ |
$[0, 0, 0, -58476, 5442640]$ |
\(y^2=x^3-58476x+5442640\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.z.1.2, 76.12.0.?, $\ldots$ |
$[(138, 32)]$ |
10944.o1 |
10944bh3 |
10944.o |
10944bh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{18} \cdot 3^{10} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$456$ |
$48$ |
$0$ |
$6.088655228$ |
$1$ |
|
$1$ |
$24576$ |
$1.344019$ |
$115714886617/1539$ |
$0.98111$ |
$4.78926$ |
$[0, 0, 0, -58476, -5442640]$ |
\(y^2=x^3-58476x-5442640\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.z.1.10, 76.12.0.?, $\ldots$ |
$[(3409/2, 189945/2)]$ |
16473.e1 |
16473a3 |
16473.e |
16473a |
$4$ |
$4$ |
\( 3 \cdot 17^{2} \cdot 19 \) |
\( 3^{4} \cdot 17^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7752$ |
$48$ |
$0$ |
$2.769773480$ |
$1$ |
|
$0$ |
$27648$ |
$1.171598$ |
$115714886617/1539$ |
$0.98111$ |
$4.37446$ |
$[1, 1, 0, -29339, 1922070]$ |
\(y^2+xy=x^3+x^2-29339x+1922070\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 68.12.0-4.c.1.2, 76.12.0.?, $\ldots$ |
$[(1007/2, 25003/2)]$ |
17328.u1 |
17328bg3 |
17328.u |
17328bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 19^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$138240$ |
$1.920359$ |
$115714886617/1539$ |
$0.98111$ |
$5.27237$ |
$[0, 1, 0, -586384, 172633556]$ |
\(y^2=x^3+x^2-586384x+172633556\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.9, 76.24.0.?, 456.48.0.? |
$[]$ |
20691.p1 |
20691q3 |
20691.p |
20691q |
$4$ |
$4$ |
\( 3^{2} \cdot 11^{2} \cdot 19 \) |
\( 3^{10} \cdot 11^{6} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5016$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$69120$ |
$1.503244$ |
$115714886617/1539$ |
$0.98111$ |
$4.67458$ |
$[1, -1, 0, -110556, 14176377]$ |
\(y^2+xy=x^3-x^2-110556x+14176377\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 76.12.0.?, 88.12.0.?, $\ldots$ |
$[]$ |
22800.cw1 |
22800de4 |
22800.cw |
22800de |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{6} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.252857$ |
$115714886617/1539$ |
$0.98111$ |
$4.32993$ |
$[0, 1, 0, -40608, -3163212]$ |
\(y^2=x^3+x^2-40608x-3163212\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.z.1, 76.12.0.?, $\ldots$ |
$[]$ |
27075.s1 |
27075q4 |
27075.s |
27075q |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 19^{2} \) |
\( 3^{4} \cdot 5^{6} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$6.768428821$ |
$1$ |
|
$2$ |
$276480$ |
$2.031929$ |
$115714886617/1539$ |
$0.98111$ |
$5.17301$ |
$[1, 0, 1, -916226, -337633027]$ |
\(y^2+xy+y=x^3-916226x-337633027\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.z.1, 76.12.0.?, $\ldots$ |
$[(3797, 223776)]$ |
28899.m1 |
28899k4 |
28899.m |
28899k |
$4$ |
$4$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( 3^{10} \cdot 13^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5928$ |
$48$ |
$0$ |
$10.68561880$ |
$1$ |
|
$0$ |
$92160$ |
$1.586773$ |
$115714886617/1539$ |
$0.98111$ |
$4.62011$ |
$[1, -1, 0, -154413, -23315850]$ |
\(y^2+xy=x^3-x^2-154413x-23315850\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 76.12.0.?, 104.12.0.?, $\ldots$ |
$[(523975/14, 371209665/14)]$ |
30153.g1 |
30153h4 |
30153.g |
30153h |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 23^{2} \) |
\( 3^{4} \cdot 19 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10488$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$73920$ |
$1.322739$ |
$115714886617/1539$ |
$0.98111$ |
$4.29389$ |
$[1, 0, 1, -53705, -4794739]$ |
\(y^2+xy+y=x^3-53705x-4794739\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 76.12.0.?, 92.12.0.?, $\ldots$ |
$[]$ |
44688.di1 |
44688cv4 |
44688.di |
44688cv |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{4} \cdot 7^{6} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.421093$ |
$115714886617/1539$ |
$0.98111$ |
$4.24635$ |
$[0, 1, 0, -79592, 8616180]$ |
\(y^2=x^3+x^2-79592x+8616180\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0-4.c.1.1, 76.12.0.?, $\ldots$ |
$[]$ |
47937.b1 |
47937b4 |
47937.b |
47937b |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 29^{2} \) |
\( 3^{4} \cdot 19 \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$13224$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$150528$ |
$1.438639$ |
$115714886617/1539$ |
$0.98111$ |
$4.23823$ |
$[1, 1, 1, -85379, 9566606]$ |
\(y^2+xy+y=x^3+x^2-85379x+9566606\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 76.12.0.?, 116.12.0.?, $\ldots$ |
$[]$ |
49419.d1 |
49419b4 |
49419.d |
49419b |
$4$ |
$4$ |
\( 3^{2} \cdot 17^{2} \cdot 19 \) |
\( 3^{10} \cdot 17^{6} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7752$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$221184$ |
$1.720903$ |
$115714886617/1539$ |
$0.98111$ |
$4.53969$ |
$[1, -1, 1, -264056, -52159944]$ |
\(y^2+xy+y=x^3-x^2-264056x-52159944\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 76.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
51984.ci1 |
51984cr4 |
51984.ci |
51984cr |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{12} \cdot 3^{10} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1105920$ |
$2.469666$ |
$115714886617/1539$ |
$0.98111$ |
$5.34599$ |
$[0, 0, 0, -5277459, -4666383470]$ |
\(y^2=x^3-5277459x-4666383470\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.2, 24.24.0-24.z.1.13, $\ldots$ |
$[]$ |
53067.j1 |
53067t4 |
53067.j |
53067t |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{4} \cdot 7^{6} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$829440$ |
$2.200165$ |
$115714886617/1539$ |
$0.98111$ |
$5.03860$ |
$[1, 0, 0, -1795802, 926105865]$ |
\(y^2+xy=x^3-1795802x+926105865\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0-4.c.1.1, 76.12.0.?, $\ldots$ |
$[]$ |
54777.c1 |
54777a4 |
54777.c |
54777a |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 31^{2} \) |
\( 3^{4} \cdot 19 \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14136$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$172800$ |
$1.471985$ |
$115714886617/1539$ |
$0.98111$ |
$4.22310$ |
$[1, 1, 0, -97561, -11769650]$ |
\(y^2+xy=x^3+x^2-97561x-11769650\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 76.12.0.?, 124.12.0.?, $\ldots$ |
$[]$ |
68400.dj1 |
68400ex4 |
68400.dj |
68400ex |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{6} \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$2.301853412$ |
$1$ |
|
$17$ |
$393216$ |
$1.802164$ |
$115714886617/1539$ |
$0.98111$ |
$4.49474$ |
$[0, 0, 0, -365475, 85041250]$ |
\(y^2=x^3-365475x+85041250\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 40.12.0-4.c.1.5, 60.12.0-4.c.1.1, $\ldots$ |
$[(335, 450), (375, 850)]$ |
69312.bp1 |
69312cp4 |
69312.bp |
69312cp |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{18} \cdot 3^{4} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$456$ |
$48$ |
$0$ |
$4.552180692$ |
$1$ |
|
$3$ |
$1105920$ |
$2.266933$ |
$115714886617/1539$ |
$0.98111$ |
$4.98976$ |
$[0, -1, 0, -2345537, 1383413985]$ |
\(y^2=x^3-x^2-2345537x+1383413985\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.z.1.3, 76.12.0.?, $\ldots$ |
$[(-1291, 47520)]$ |
69312.dn1 |
69312br4 |
69312.dn |
69312br |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{18} \cdot 3^{4} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$456$ |
$48$ |
$0$ |
$10.14244895$ |
$1$ |
|
$1$ |
$1105920$ |
$2.266933$ |
$115714886617/1539$ |
$0.98111$ |
$4.98976$ |
$[0, 1, 0, -2345537, -1383413985]$ |
\(y^2=x^3+x^2-2345537x-1383413985\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.z.1.11, 76.12.0.?, $\ldots$ |
$[(3106345/41, 1682418840/41)]$ |
69825.q1 |
69825by4 |
69825.q |
69825by |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( 3^{4} \cdot 5^{6} \cdot 7^{6} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$294912$ |
$1.532665$ |
$115714886617/1539$ |
$0.98111$ |
$4.19648$ |
$[1, 0, 0, -124363, -16890658]$ |
\(y^2+xy=x^3-124363x-16890658\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 76.12.0.?, 140.12.0.?, $\ldots$ |
$[]$ |
78033.a1 |
78033b4 |
78033.a |
78033b |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 37^{2} \) |
\( 3^{4} \cdot 19 \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$16872$ |
$48$ |
$0$ |
$3.755208620$ |
$1$ |
|
$2$ |
$290304$ |
$1.560450$ |
$115714886617/1539$ |
$0.98111$ |
$4.18468$ |
$[1, 0, 0, -138982, 19930985]$ |
\(y^2+xy=x^3-138982x+19930985\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 76.12.0.?, 148.12.0.?, $\ldots$ |
$[(179, 803)]$ |
81225.k1 |
81225bd4 |
81225.k |
81225bd |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( 3^{10} \cdot 5^{6} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1.910215338$ |
$1$ |
|
$4$ |
$2211840$ |
$2.581238$ |
$115714886617/1539$ |
$0.98111$ |
$5.25338$ |
$[1, -1, 1, -8246030, 9116091722]$ |
\(y^2+xy+y=x^3-x^2-8246030x+9116091722\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 40.12.0-4.c.1.3, 60.12.0-4.c.1.1, $\ldots$ |
$[(309, 81070)]$ |
90459.f1 |
90459r4 |
90459.f |
90459r |
$4$ |
$4$ |
\( 3^{2} \cdot 19 \cdot 23^{2} \) |
\( 3^{10} \cdot 19 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$591360$ |
$1.872046$ |
$115714886617/1539$ |
$0.98111$ |
$4.45813$ |
$[1, -1, 1, -483341, 129457946]$ |
\(y^2+xy+y=x^3-x^2-483341x+129457946\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 76.12.0.?, 184.12.0.?, $\ldots$ |
$[]$ |
91200.cp1 |
91200ez4 |
91200.cp |
91200ez |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{6} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$1.599432$ |
$115714886617/1539$ |
$0.98111$ |
$4.16850$ |
$[0, -1, 0, -162433, -25143263]$ |
\(y^2=x^3-x^2-162433x-25143263\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 40.12.0-4.c.1.1, 76.12.0.?, $\ldots$ |
$[]$ |
91200.ha1 |
91200dn4 |
91200.ha |
91200dn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1.756204777$ |
$1$ |
|
$5$ |
$393216$ |
$1.599432$ |
$115714886617/1539$ |
$0.98111$ |
$4.16850$ |
$[0, 1, 0, -162433, 25143263]$ |
\(y^2=x^3+x^2-162433x+25143263\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 40.12.0-4.c.1.2, 76.12.0.?, $\ldots$ |
$[(218, 375)]$ |
95817.i1 |
95817d4 |
95817.i |
95817d |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 41^{2} \) |
\( 3^{4} \cdot 19 \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$18696$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$422400$ |
$1.611778$ |
$115714886617/1539$ |
$0.98111$ |
$4.16347$ |
$[1, 1, 0, -170656, 27063745]$ |
\(y^2+xy=x^3+x^2-170656x+27063745\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 76.12.0.?, 164.12.0.?, $\ldots$ |
$[]$ |
105393.d1 |
105393j4 |
105393.d |
105393j |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 43^{2} \) |
\( 3^{4} \cdot 19 \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19608$ |
$48$ |
$0$ |
$19.63218000$ |
$1$ |
|
$0$ |
$483840$ |
$1.635592$ |
$115714886617/1539$ |
$0.98111$ |
$4.15389$ |
$[1, 1, 1, -187712, -31380874]$ |
\(y^2+xy+y=x^3+x^2-187712x-31380874\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 76.12.0.?, 172.12.0.?, $\ldots$ |
$[(13423289905/2016, 1527847511153977/2016)]$ |
110352.j1 |
110352y4 |
110352.j |
110352y |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{4} \cdot 11^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5016$ |
$48$ |
$0$ |
$2.312229312$ |
$1$ |
|
$5$ |
$552960$ |
$1.647087$ |
$115714886617/1539$ |
$0.98111$ |
$4.14932$ |
$[0, -1, 0, -196544, 33603264]$ |
\(y^2=x^3-x^2-196544x+33603264\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 44.12.0-4.c.1.1, 76.12.0.?, $\ldots$ |
$[(266, 270)]$ |
125913.h1 |
125913g4 |
125913.h |
125913g |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 47^{2} \) |
\( 3^{4} \cdot 19 \cdot 47^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$21432$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$596160$ |
$1.680065$ |
$115714886617/1539$ |
$0.98111$ |
$4.13641$ |
$[1, 0, 1, -224260, -40894789]$ |
\(y^2+xy+y=x^3-224260x-40894789\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 76.12.0.?, 188.12.0.?, $\ldots$ |
$[]$ |
131043.w1 |
131043z3 |
131043.w |
131043z |
$4$ |
$4$ |
\( 3 \cdot 11^{2} \cdot 19^{2} \) |
\( 3^{4} \cdot 11^{6} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5016$ |
$48$ |
$0$ |
$5.629942137$ |
$1$ |
|
$0$ |
$3110400$ |
$2.426159$ |
$115714886617/1539$ |
$0.98111$ |
$4.88221$ |
$[1, 1, 0, -4434531, 3592455750]$ |
\(y^2+xy=x^3+x^2-4434531x+3592455750\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 44.12.0-4.c.1.1, 76.12.0.?, $\ldots$ |
$[(7854/5, 5883798/5)]$ |
134064.bm1 |
134064q4 |
134064.bm |
134064q |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{10} \cdot 7^{6} \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$15.77817058$ |
$1$ |
|
$7$ |
$1179648$ |
$1.970400$ |
$115714886617/1539$ |
$0.98111$ |
$4.40954$ |
$[0, 0, 0, -716331, -233353190]$ |
\(y^2=x^3-716331x-233353190\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 56.12.0-4.c.1.5, 76.12.0.?, $\ldots$ |
$[(-489, 50), (1535, 47790)]$ |
143811.p1 |
143811o4 |
143811.p |
143811o |
$4$ |
$4$ |
\( 3^{2} \cdot 19 \cdot 29^{2} \) |
\( 3^{10} \cdot 19 \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$13224$ |
$48$ |
$0$ |
$30.89172801$ |
$1$ |
|
$0$ |
$1204224$ |
$1.987946$ |
$115714886617/1539$ |
$0.98111$ |
$4.40121$ |
$[1, -1, 0, -768411, -259066778]$ |
\(y^2+xy=x^3-x^2-768411x-259066778\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 76.12.0.?, 232.12.0.?, $\ldots$ |
$[(231426423839321/79352, 3510393452795566901929/79352)]$ |
154128.bk1 |
154128ca4 |
154128.bk |
154128ca |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{4} \cdot 13^{6} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5928$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$737280$ |
$1.730614$ |
$115714886617/1539$ |
$0.98111$ |
$4.11717$ |
$[0, -1, 0, -274512, -55267200]$ |
\(y^2=x^3-x^2-274512x-55267200\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 52.12.0-4.c.1.1, 76.12.0.?, $\ldots$ |
$[]$ |
159201.bi1 |
159201bh4 |
159201.bi |
159201bh |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{10} \cdot 7^{6} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$6635520$ |
$2.749474$ |
$115714886617/1539$ |
$0.98111$ |
$5.12678$ |
$[1, -1, 0, -16162218, -25004858355]$ |
\(y^2+xy=x^3-x^2-16162218x-25004858355\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 56.12.0-4.c.1.3, 76.12.0.?, $\ldots$ |
$[]$ |
160113.d1 |
160113d3 |
160113.d |
160113d |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 53^{2} \) |
\( 3^{4} \cdot 19 \cdot 53^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$898560$ |
$1.740137$ |
$115714886617/1539$ |
$0.98111$ |
$4.11362$ |
$[1, 1, 1, -285172, 58495466]$ |
\(y^2+xy+y=x^3+x^2-285172x+58495466\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 76.12.0.?, 212.12.0.?, $\ldots$ |
$[]$ |
164331.a1 |
164331a3 |
164331.a |
164331a |
$4$ |
$4$ |
\( 3^{2} \cdot 19 \cdot 31^{2} \) |
\( 3^{10} \cdot 19 \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14136$ |
$48$ |
$0$ |
$2.250733793$ |
$1$ |
|
$4$ |
$1382400$ |
$2.021290$ |
$115714886617/1539$ |
$0.98111$ |
$4.38564$ |
$[1, -1, 1, -878054, 316902498]$ |
\(y^2+xy+y=x^3-x^2-878054x+316902498\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 76.12.0.?, 248.12.0.?, $\ldots$ |
$[(536, -66)]$ |
172425.ca1 |
172425cj4 |
172425.ca |
172425cj |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 19 \) |
\( 3^{4} \cdot 5^{6} \cdot 11^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$25080$ |
$48$ |
$0$ |
$2.109562184$ |
$4$ |
$2$ |
$4$ |
$1105920$ |
$1.758657$ |
$115714886617/1539$ |
$0.98111$ |
$4.10678$ |
$[1, 1, 0, -307100, -65631375]$ |
\(y^2+xy=x^3+x^2-307100x-65631375\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 76.12.0.?, 220.12.0.?, $\ldots$ |
$[(-320, 185)]$ |