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.c4 |
57b4 |
57.c |
57b |
$4$ |
$4$ |
\( 3 \cdot 19 \) |
\( - 3 \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6$ |
$-0.245009$ |
$67419143/390963$ |
$0.97474$ |
$5.00265$ |
$[1, 0, 1, 8, 29]$ |
\(y^2+xy+y=x^3+8x+29\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 12.24.0-12.g.1.1, 152.24.0.?, $\ldots$ |
$[]$ |
171.a4 |
171a4 |
171.a |
171a |
$4$ |
$4$ |
\( 3^{2} \cdot 19 \) |
\( - 3^{7} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48$ |
$0.304297$ |
$67419143/390963$ |
$0.97474$ |
$5.21575$ |
$[1, -1, 1, 76, -790]$ |
\(y^2+xy+y=x^3-x^2+76x-790\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 12.24.0-12.g.1.1, 152.24.0.?, $\ldots$ |
$[]$ |
912.b4 |
912g4 |
912.b |
912g |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 19 \) |
\( - 2^{12} \cdot 3 \cdot 19^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$456$ |
$48$ |
$0$ |
$2.601893913$ |
$1$ |
|
$7$ |
$384$ |
$0.448139$ |
$67419143/390963$ |
$0.97474$ |
$4.18797$ |
$[0, -1, 0, 136, -1872]$ |
\(y^2=x^3-x^2+136x-1872\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 12.24.0-12.g.1.2, 152.24.0.?, $\ldots$ |
$[(18, 78)]$ |
1083.a4 |
1083b4 |
1083.a |
1083b |
$4$ |
$4$ |
\( 3 \cdot 19^{2} \) |
\( - 3 \cdot 19^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2160$ |
$1.227211$ |
$67419143/390963$ |
$0.97474$ |
$5.42292$ |
$[1, 1, 1, 3061, -194500]$ |
\(y^2+xy+y=x^3+x^2+3061x-194500\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.5, 12.12.0.g.1, $\ldots$ |
$[]$ |
1425.a4 |
1425a4 |
1425.a |
1425a |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 19 \) |
\( - 3 \cdot 5^{6} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1.563685169$ |
$1$ |
|
$4$ |
$768$ |
$0.559711$ |
$67419143/390963$ |
$0.97474$ |
$4.11497$ |
$[1, 1, 1, 212, 3656]$ |
\(y^2+xy+y=x^3+x^2+212x+3656\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.1, $\ldots$ |
$[(-5, 52)]$ |
2736.s4 |
2736t4 |
2736.s |
2736t |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3^{7} \cdot 19^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3072$ |
$0.997445$ |
$67419143/390963$ |
$0.97474$ |
$4.43951$ |
$[0, 0, 0, 1221, 49322]$ |
\(y^2=x^3+1221x+49322\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 12.24.0-12.g.1.2, 152.24.0.?, $\ldots$ |
$[]$ |
2793.i4 |
2793c4 |
2793.i |
2793c |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 19 \) |
\( - 3 \cdot 7^{6} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1.637562893$ |
$1$ |
|
$2$ |
$2304$ |
$0.727946$ |
$67419143/390963$ |
$0.97474$ |
$4.02041$ |
$[1, 1, 0, 416, -9617]$ |
\(y^2+xy=x^3+x^2+416x-9617\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 28.12.0-4.c.1.1, $\ldots$ |
$[(314, 5429)]$ |
3249.g4 |
3249e4 |
3249.g |
3249e |
$4$ |
$4$ |
\( 3^{2} \cdot 19^{2} \) |
\( - 3^{7} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$456$ |
$48$ |
$0$ |
$3.892773922$ |
$1$ |
|
$0$ |
$17280$ |
$1.776518$ |
$67419143/390963$ |
$0.97474$ |
$5.50132$ |
$[1, -1, 0, 27549, 5279044]$ |
\(y^2+xy=x^3-x^2+27549x+5279044\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.1, 12.12.0.g.1, $\ldots$ |
$[(3155/2, 178789/2)]$ |
3648.o4 |
3648g4 |
3648.o |
3648g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{18} \cdot 3 \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.794712$ |
$67419143/390963$ |
$0.97474$ |
$3.98718$ |
$[0, -1, 0, 543, 14433]$ |
\(y^2=x^3-x^2+543x+14433\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.3, 12.12.0.g.1, $\ldots$ |
$[]$ |
3648.bf4 |
3648bf4 |
3648.bf |
3648bf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{18} \cdot 3 \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$456$ |
$48$ |
$0$ |
$8.425500244$ |
$1$ |
|
$1$ |
$3072$ |
$0.794712$ |
$67419143/390963$ |
$0.97474$ |
$3.98718$ |
$[0, 1, 0, 543, -14433]$ |
\(y^2=x^3+x^2+543x-14433\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.4, 12.12.0.g.1, $\ldots$ |
$[(4501/15, 234676/15)]$ |
4275.m4 |
4275e4 |
4275.m |
4275e |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 3^{7} \cdot 5^{6} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6144$ |
$1.109016$ |
$67419143/390963$ |
$0.97474$ |
$4.36267$ |
$[1, -1, 0, 1908, -96809]$ |
\(y^2+xy=x^3-x^2+1908x-96809\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.1, $\ldots$ |
$[]$ |
6897.a4 |
6897f4 |
6897.a |
6897f |
$4$ |
$4$ |
\( 3 \cdot 11^{2} \cdot 19 \) |
\( - 3 \cdot 11^{6} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5016$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8640$ |
$0.953939$ |
$67419143/390963$ |
$0.97474$ |
$3.91605$ |
$[1, 0, 0, 1026, -37905]$ |
\(y^2+xy=x^3+1026x-37905\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 44.12.0-4.c.1.1, $\ldots$ |
$[]$ |
8379.e4 |
8379n4 |
8379.e |
8379n |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 19 \) |
\( - 3^{7} \cdot 7^{6} \cdot 19^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$0.460486004$ |
$1$ |
|
$24$ |
$18432$ |
$1.277252$ |
$67419143/390963$ |
$0.97474$ |
$4.26116$ |
$[1, -1, 1, 3739, 263400]$ |
\(y^2+xy+y=x^3-x^2+3739x+263400\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 28.12.0-4.c.1.1, $\ldots$ |
$[(-12, 471), (-31, 357)]$ |
9633.h4 |
9633m4 |
9633.h |
9633m |
$4$ |
$4$ |
\( 3 \cdot 13^{2} \cdot 19 \) |
\( - 3 \cdot 13^{6} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5928$ |
$48$ |
$0$ |
$1.593429450$ |
$1$ |
|
$2$ |
$11520$ |
$1.037466$ |
$67419143/390963$ |
$0.97474$ |
$3.88268$ |
$[1, 0, 0, 1433, 62828]$ |
\(y^2+xy=x^3+1433x+62828\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(1, 253)]$ |
10944.n4 |
10944cb4 |
10944.n |
10944cb |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{18} \cdot 3^{7} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$456$ |
$48$ |
$0$ |
$4.215781293$ |
$1$ |
|
$3$ |
$24576$ |
$1.344019$ |
$67419143/390963$ |
$0.97474$ |
$4.22494$ |
$[0, 0, 0, 4884, 394576]$ |
\(y^2=x^3+4884x+394576\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.4, 12.12.0.g.1, $\ldots$ |
$[(48, 860)]$ |
10944.o4 |
10944bh4 |
10944.o |
10944bh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{18} \cdot 3^{7} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$456$ |
$48$ |
$0$ |
$1.522163807$ |
$1$ |
|
$7$ |
$24576$ |
$1.344019$ |
$67419143/390963$ |
$0.97474$ |
$4.22494$ |
$[0, 0, 0, 4884, -394576]$ |
\(y^2=x^3+4884x-394576\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.3, 12.12.0.g.1, $\ldots$ |
$[(109, 1197)]$ |
16473.e4 |
16473a4 |
16473.e |
16473a |
$4$ |
$4$ |
\( 3 \cdot 17^{2} \cdot 19 \) |
\( - 3 \cdot 17^{6} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7752$ |
$48$ |
$0$ |
$11.07909392$ |
$1$ |
|
$0$ |
$27648$ |
$1.171598$ |
$67419143/390963$ |
$0.97474$ |
$3.83391$ |
$[1, 1, 0, 2451, 141252]$ |
\(y^2+xy=x^3+x^2+2451x+141252\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 68.12.0-4.c.1.1, $\ldots$ |
$[(471329/104, 624785747/104)]$ |
17328.u4 |
17328bg4 |
17328.u |
17328bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 19^{2} \) |
\( - 2^{12} \cdot 3 \cdot 19^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$138240$ |
$1.920359$ |
$67419143/390963$ |
$0.97474$ |
$4.73463$ |
$[0, 1, 0, 48976, 12545940]$ |
\(y^2=x^3+x^2+48976x+12545940\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.5, 12.12.0.g.1, $\ldots$ |
$[]$ |
20691.p4 |
20691q4 |
20691.p |
20691q |
$4$ |
$4$ |
\( 3^{2} \cdot 11^{2} \cdot 19 \) |
\( - 3^{7} \cdot 11^{6} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5016$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$69120$ |
$1.503244$ |
$67419143/390963$ |
$0.97474$ |
$4.14643$ |
$[1, -1, 0, 9234, 1023435]$ |
\(y^2+xy=x^3-x^2+9234x+1023435\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 44.12.0-4.c.1.1, $\ldots$ |
$[]$ |
22800.cw4 |
22800de3 |
22800.cw |
22800de |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3 \cdot 5^{6} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.252857$ |
$67419143/390963$ |
$0.97474$ |
$3.80690$ |
$[0, 1, 0, 3392, -227212]$ |
\(y^2=x^3+x^2+3392x-227212\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
27075.s4 |
27075q3 |
27075.s |
27075q |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 19^{2} \) |
\( - 3 \cdot 5^{6} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$27.07371528$ |
$1$ |
|
$0$ |
$276480$ |
$2.031929$ |
$67419143/390963$ |
$0.97474$ |
$4.65878$ |
$[1, 0, 1, 76524, -24465527]$ |
\(y^2+xy+y=x^3+76524x-24465527\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 40.12.0-4.c.1.5, $\ldots$ |
$[(2356177355017/50504, 3662141310064447759/50504)]$ |
28899.m4 |
28899k3 |
28899.m |
28899k |
$4$ |
$4$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( - 3^{7} \cdot 13^{6} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5928$ |
$48$ |
$0$ |
$2.671404701$ |
$1$ |
|
$4$ |
$92160$ |
$1.586773$ |
$67419143/390963$ |
$0.97474$ |
$4.10914$ |
$[1, -1, 0, 12897, -1696356]$ |
\(y^2+xy=x^3-x^2+12897x-1696356\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(88, 294)]$ |
30153.g4 |
30153h3 |
30153.g |
30153h |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 23^{2} \) |
\( - 3 \cdot 19^{4} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10488$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$73920$ |
$1.322739$ |
$67419143/390963$ |
$0.97474$ |
$3.78503$ |
$[1, 0, 1, 4485, -346907]$ |
\(y^2+xy+y=x^3+4485x-346907\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 92.12.0.?, $\ldots$ |
$[]$ |
44688.di4 |
44688cv3 |
44688.di |
44688cv |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3 \cdot 7^{6} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.421093$ |
$67419143/390963$ |
$0.97474$ |
$3.75618$ |
$[0, 1, 0, 6648, 628788]$ |
\(y^2=x^3+x^2+6648x+628788\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 28.12.0-4.c.1.2, $\ldots$ |
$[]$ |
47937.b4 |
47937b3 |
47937.b |
47937b |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 29^{2} \) |
\( - 3 \cdot 19^{4} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$13224$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$150528$ |
$1.438639$ |
$67419143/390963$ |
$0.97474$ |
$3.75126$ |
$[1, 1, 1, 7131, 699102]$ |
\(y^2+xy+y=x^3+x^2+7131x+699102\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 116.12.0.?, $\ldots$ |
$[]$ |
49419.d4 |
49419b3 |
49419.d |
49419b |
$4$ |
$4$ |
\( 3^{2} \cdot 17^{2} \cdot 19 \) |
\( - 3^{7} \cdot 17^{6} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7752$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$221184$ |
$1.720903$ |
$67419143/390963$ |
$0.97474$ |
$4.05408$ |
$[1, -1, 1, 22054, -3791748]$ |
\(y^2+xy+y=x^3-x^2+22054x-3791748\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 68.12.0-4.c.1.1, $\ldots$ |
$[]$ |
51984.ci4 |
51984cr3 |
51984.ci |
51984cr |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 19^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1105920$ |
$2.469666$ |
$67419143/390963$ |
$0.97474$ |
$4.86265$ |
$[0, 0, 0, 440781, -338299598]$ |
\(y^2=x^3+440781x-338299598\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.1, 12.12.0.g.1, $\ldots$ |
$[]$ |
53067.j4 |
53067t3 |
53067.j |
53067t |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3 \cdot 7^{6} \cdot 19^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$829440$ |
$2.200165$ |
$67419143/390963$ |
$0.97474$ |
$4.55618$ |
$[1, 0, 0, 149988, 67163403]$ |
\(y^2+xy=x^3+149988x+67163403\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0-4.c.1.5, $\ldots$ |
$[]$ |
54777.c4 |
54777a3 |
54777.c |
54777a |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 31^{2} \) |
\( - 3 \cdot 19^{4} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14136$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$172800$ |
$1.471985$ |
$67419143/390963$ |
$0.97474$ |
$3.74208$ |
$[1, 1, 0, 8149, -846924]$ |
\(y^2+xy=x^3+x^2+8149x-846924\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 124.12.0.?, $\ldots$ |
$[]$ |
68400.dj4 |
68400ex3 |
68400.dj |
68400ex |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{6} \cdot 19^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$2.301853412$ |
$1$ |
|
$17$ |
$393216$ |
$1.802164$ |
$67419143/390963$ |
$0.97474$ |
$4.02331$ |
$[0, 0, 0, 30525, 6165250]$ |
\(y^2=x^3+30525x+6165250\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.2, $\ldots$ |
$[(41, 2736), (95, 3150)]$ |
69312.bp4 |
69312cp3 |
69312.bp |
69312cp |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( - 2^{18} \cdot 3 \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$456$ |
$48$ |
$0$ |
$18.20872277$ |
$1$ |
|
$1$ |
$1105920$ |
$2.266933$ |
$67419143/390963$ |
$0.97474$ |
$4.51889$ |
$[0, -1, 0, 195903, 100171617]$ |
\(y^2=x^3-x^2+195903x+100171617\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.2, 12.12.0.g.1, $\ldots$ |
$[(-40773941/473, 808583437740/473)]$ |
69312.dn4 |
69312br3 |
69312.dn |
69312br |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( - 2^{18} \cdot 3 \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$456$ |
$48$ |
$0$ |
$40.56979582$ |
$1$ |
|
$1$ |
$1105920$ |
$2.266933$ |
$67419143/390963$ |
$0.97474$ |
$4.51889$ |
$[0, 1, 0, 195903, -100171617]$ |
\(y^2=x^3+x^2+195903x-100171617\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.2, 12.12.0.g.1, $\ldots$ |
$[(822051025900591921/6047085, 745486981266822837399085456/6047085)]$ |
69825.q4 |
69825by3 |
69825.q |
69825by |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \) |
\( - 3 \cdot 5^{6} \cdot 7^{6} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$294912$ |
$1.532665$ |
$67419143/390963$ |
$0.97474$ |
$3.72593$ |
$[1, 0, 0, 10387, -1222908]$ |
\(y^2+xy=x^3+10387x-1222908\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 140.12.0.?, $\ldots$ |
$[]$ |
78033.a4 |
78033b3 |
78033.a |
78033b |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 37^{2} \) |
\( - 3 \cdot 19^{4} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$16872$ |
$48$ |
$0$ |
$3.755208620$ |
$1$ |
|
$2$ |
$290304$ |
$1.560450$ |
$67419143/390963$ |
$0.97474$ |
$3.71876$ |
$[1, 0, 0, 11608, 1446747]$ |
\(y^2+xy=x^3+11608x+1446747\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 148.12.0.?, $\ldots$ |
$[(29973, 5174208)]$ |
81225.k4 |
81225bd3 |
81225.k |
81225bd |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 19^{2} \) |
\( - 3^{7} \cdot 5^{6} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$7.640861354$ |
$1$ |
|
$0$ |
$2211840$ |
$2.581238$ |
$67419143/390963$ |
$0.97474$ |
$4.78912$ |
$[1, -1, 1, 688720, 660569222]$ |
\(y^2+xy+y=x^3-x^2+688720x+660569222\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 40.12.0-4.c.1.3, $\ldots$ |
$[(17349/4, 3279295/4)]$ |
90459.f4 |
90459r3 |
90459.f |
90459r |
$4$ |
$4$ |
\( 3^{2} \cdot 19 \cdot 23^{2} \) |
\( - 3^{7} \cdot 19^{4} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$591360$ |
$1.872046$ |
$67419143/390963$ |
$0.97474$ |
$3.99825$ |
$[1, -1, 1, 40369, 9366482]$ |
\(y^2+xy+y=x^3-x^2+40369x+9366482\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 92.12.0.?, $\ldots$ |
$[]$ |
91200.cp4 |
91200ez3 |
91200.cp |
91200ez |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{18} \cdot 3 \cdot 5^{6} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$393216$ |
$1.599432$ |
$67419143/390963$ |
$0.97474$ |
$3.70895$ |
$[0, -1, 0, 13567, -1831263]$ |
\(y^2=x^3-x^2+13567x-1831263\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 40.12.0-4.c.1.2, $\ldots$ |
$[]$ |
91200.ha4 |
91200dn3 |
91200.ha |
91200dn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{18} \cdot 3 \cdot 5^{6} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$7.024819109$ |
$1$ |
|
$1$ |
$393216$ |
$1.599432$ |
$67419143/390963$ |
$0.97474$ |
$3.70895$ |
$[0, 1, 0, 13567, 1831263]$ |
\(y^2=x^3+x^2+13567x+1831263\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 40.12.0-4.c.1.1, $\ldots$ |
$[(5277/2, 385125/2)]$ |
95817.i4 |
95817d3 |
95817.i |
95817d |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 41^{2} \) |
\( - 3 \cdot 19^{4} \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$18696$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$422400$ |
$1.611778$ |
$67419143/390963$ |
$0.97474$ |
$3.70590$ |
$[1, 1, 0, 14254, 1973139]$ |
\(y^2+xy=x^3+x^2+14254x+1973139\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 152.12.0.?, $\ldots$ |
$[]$ |
105393.d4 |
105393j3 |
105393.d |
105393j |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 43^{2} \) |
\( - 3 \cdot 19^{4} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19608$ |
$48$ |
$0$ |
$4.908045001$ |
$1$ |
|
$0$ |
$483840$ |
$1.635592$ |
$67419143/390963$ |
$0.97474$ |
$3.70009$ |
$[1, 1, 1, 15678, -2262822]$ |
\(y^2+xy+y=x^3+x^2+15678x-2262822\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 152.12.0.?, $\ldots$ |
$[(52659/2, 12032401/2)]$ |
110352.j4 |
110352y3 |
110352.j |
110352y |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3 \cdot 11^{6} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5016$ |
$48$ |
$0$ |
$2.312229312$ |
$1$ |
|
$5$ |
$552960$ |
$1.647087$ |
$67419143/390963$ |
$0.97474$ |
$3.69731$ |
$[0, -1, 0, 16416, 2425920]$ |
\(y^2=x^3-x^2+16416x+2425920\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 44.12.0-4.c.1.2, $\ldots$ |
$[(26, 1694)]$ |
125913.h4 |
125913g3 |
125913.h |
125913g |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 47^{2} \) |
\( - 3 \cdot 19^{4} \cdot 47^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$21432$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$596160$ |
$1.680065$ |
$67419143/390963$ |
$0.97474$ |
$3.68948$ |
$[1, 0, 1, 18730, -2961841]$ |
\(y^2+xy+y=x^3+18730x-2961841\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 152.12.0.?, $\ldots$ |
$[]$ |
131043.w4 |
131043z4 |
131043.w |
131043z |
$4$ |
$4$ |
\( 3 \cdot 11^{2} \cdot 19^{2} \) |
\( - 3 \cdot 11^{6} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5016$ |
$48$ |
$0$ |
$22.51976855$ |
$1$ |
|
$0$ |
$3110400$ |
$2.426159$ |
$67419143/390963$ |
$0.97474$ |
$4.43679$ |
$[1, 1, 0, 370379, 260731156]$ |
\(y^2+xy=x^3+x^2+370379x+260731156\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 88.12.0.?, $\ldots$ |
$[(15872497467/7742, 8954285269946183/7742)]$ |
134064.bm4 |
134064q3 |
134064.bm |
134064q |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3^{7} \cdot 7^{6} \cdot 19^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$3.944542647$ |
$1$ |
|
$17$ |
$1179648$ |
$1.970400$ |
$67419143/390963$ |
$0.97474$ |
$3.96498$ |
$[0, 0, 0, 59829, -16917446]$ |
\(y^2=x^3+59829x-16917446\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 28.12.0-4.c.1.2, $\ldots$ |
$[(245, 3528), (749, 21168)]$ |
143811.p4 |
143811o3 |
143811.p |
143811o |
$4$ |
$4$ |
\( 3^{2} \cdot 19 \cdot 29^{2} \) |
\( - 3^{7} \cdot 19^{4} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$13224$ |
$48$ |
$0$ |
$7.722932003$ |
$1$ |
|
$0$ |
$1204224$ |
$1.987946$ |
$67419143/390963$ |
$0.97474$ |
$3.95928$ |
$[1, -1, 0, 64179, -18811580]$ |
\(y^2+xy=x^3-x^2+64179x-18811580\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 116.12.0.?, $\ldots$ |
$[(37223/14, 964825/14)]$ |
154128.bk4 |
154128ca3 |
154128.bk |
154128ca |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3 \cdot 13^{6} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5928$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$737280$ |
$1.730614$ |
$67419143/390963$ |
$0.97474$ |
$3.67781$ |
$[0, -1, 0, 22928, -4020992]$ |
\(y^2=x^3-x^2+22928x-4020992\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 52.12.0-4.c.1.2, $\ldots$ |
$[]$ |
159201.bi4 |
159201bh3 |
159201.bi |
159201bh |
$4$ |
$4$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{7} \cdot 7^{6} \cdot 19^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$6635520$ |
$2.749474$ |
$67419143/390963$ |
$0.97474$ |
$4.68860$ |
$[1, -1, 0, 1349892, -1813411881]$ |
\(y^2+xy=x^3-x^2+1349892x-1813411881\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0-4.c.1.3, $\ldots$ |
$[]$ |
160113.d4 |
160113d4 |
160113.d |
160113d |
$4$ |
$4$ |
\( 3 \cdot 19 \cdot 53^{2} \) |
\( - 3 \cdot 19^{4} \cdot 53^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$898560$ |
$1.740137$ |
$67419143/390963$ |
$0.97474$ |
$3.67565$ |
$[1, 1, 1, 23818, 4259294]$ |
\(y^2+xy+y=x^3+x^2+23818x+4259294\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 152.12.0.?, $\ldots$ |
$[]$ |
164331.a4 |
164331a4 |
164331.a |
164331a |
$4$ |
$4$ |
\( 3^{2} \cdot 19 \cdot 31^{2} \) |
\( - 3^{7} \cdot 19^{4} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14136$ |
$48$ |
$0$ |
$2.250733793$ |
$1$ |
|
$2$ |
$1382400$ |
$2.021290$ |
$67419143/390963$ |
$0.97474$ |
$3.94862$ |
$[1, -1, 1, 73336, 22940286]$ |
\(y^2+xy+y=x^3-x^2+73336x+22940286\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 124.12.0.?, $\ldots$ |
$[(938, 29802)]$ |
172425.ca4 |
172425cj3 |
172425.ca |
172425cj |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 19 \) |
\( - 3 \cdot 5^{6} \cdot 11^{6} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$25080$ |
$48$ |
$0$ |
$8.438248739$ |
$1$ |
|
$0$ |
$1105920$ |
$1.758657$ |
$67419143/390963$ |
$0.97474$ |
$3.67150$ |
$[1, 1, 0, 25650, -4738125]$ |
\(y^2+xy=x^3+x^2+25650x-4738125\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 152.12.0.?, $\ldots$ |
$[(14825/8, 1835775/8)]$ |