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 |
70.a1 |
70a3 |
70.a |
70a |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \) |
\( 2 \cdot 5^{2} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.58 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16$ |
$0.038988$ |
$2121328796049/120050$ |
$1.01959$ |
$6.68073$ |
$[1, -1, 1, -268, -1619]$ |
\(y^2+xy+y=x^3-x^2-268x-1619\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.k.1.1, 56.48.0-56.v.1.8 |
$[]$ |
350.b1 |
350a3 |
350.b |
350a |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7 \) |
\( 2 \cdot 5^{8} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$384$ |
$0.843707$ |
$2121328796049/120050$ |
$1.01959$ |
$6.49371$ |
$[1, -1, 0, -6692, -209034]$ |
\(y^2+xy=x^3-x^2-6692x-209034\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 20.12.0-4.c.1.1, 40.24.0-8.k.1.1, $\ldots$ |
$[]$ |
490.h1 |
490h4 |
490.h |
490h |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7^{2} \) |
\( 2 \cdot 5^{2} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.105 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$768$ |
$1.011942$ |
$2121328796049/120050$ |
$1.01959$ |
$6.46689$ |
$[1, -1, 1, -13117, 581459]$ |
\(y^2+xy+y=x^3-x^2-13117x+581459\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.k.1.3, 28.12.0-4.c.1.1, 56.48.0-56.v.1.4 |
$[]$ |
560.d1 |
560d4 |
560.d |
560d |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \) |
\( 2^{13} \cdot 5^{2} \cdot 7^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.49 |
2B |
$56$ |
$48$ |
$0$ |
$0.613941328$ |
$1$ |
|
$13$ |
$384$ |
$0.732135$ |
$2121328796049/120050$ |
$1.01959$ |
$5.79981$ |
$[0, 0, 0, -4283, 107882]$ |
\(y^2=x^3-4283x+107882\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.k.1.2, 56.48.0-56.v.1.3 |
$[(37, 8)]$ |
630.d1 |
630e4 |
630.d |
630e |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2 \cdot 3^{6} \cdot 5^{2} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$168$ |
$48$ |
$0$ |
$0.452516299$ |
$1$ |
|
$8$ |
$512$ |
$0.588294$ |
$2121328796049/120050$ |
$1.01959$ |
$5.42604$ |
$[1, -1, 0, -2409, 46115]$ |
\(y^2+xy=x^3-x^2-2409x+46115\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 12.12.0-4.c.1.1, 24.24.0-8.k.1.1, $\ldots$ |
$[(31, 7)]$ |
2240.n1 |
2240f3 |
2240.n |
2240f |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( 2^{19} \cdot 5^{2} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.58 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$1.078709$ |
$2121328796049/120050$ |
$1.01959$ |
$5.29667$ |
$[0, 0, 0, -17132, -863056]$ |
\(y^2=x^3-17132x-863056\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.k.1.1, 56.48.0-56.v.1.1 |
$[]$ |
2240.q1 |
2240y4 |
2240.q |
2240y |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \) |
\( 2^{19} \cdot 5^{2} \cdot 7^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.49 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3072$ |
$1.078709$ |
$2121328796049/120050$ |
$1.01959$ |
$5.29667$ |
$[0, 0, 0, -17132, 863056]$ |
\(y^2=x^3-17132x+863056\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.k.1.2, 56.48.0-56.v.1.6 |
$[]$ |
2450.l1 |
2450e4 |
2450.l |
2450e |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \) |
\( 2 \cdot 5^{8} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18432$ |
$1.816662$ |
$2121328796049/120050$ |
$1.01959$ |
$6.37060$ |
$[1, -1, 0, -327917, 72354491]$ |
\(y^2+xy=x^3-x^2-327917x+72354491\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 40.24.0-8.k.1.3, 56.24.0.v.1, $\ldots$ |
$[]$ |
2800.m1 |
2800o4 |
2800.m |
2800o |
$4$ |
$4$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \) |
\( 2^{13} \cdot 5^{8} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$1.536854$ |
$2121328796049/120050$ |
$1.01959$ |
$5.84040$ |
$[0, 0, 0, -107075, 13485250]$ |
\(y^2=x^3-107075x+13485250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 20.12.0-4.c.1.2, 40.24.0-8.k.1.2, $\ldots$ |
$[]$ |
3150.bj1 |
3150bm4 |
3150.bj |
3150bm |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2 \cdot 3^{6} \cdot 5^{8} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12288$ |
$1.393013$ |
$2121328796049/120050$ |
$1.01959$ |
$5.54072$ |
$[1, -1, 1, -60230, 5704147]$ |
\(y^2+xy+y=x^3-x^2-60230x+5704147\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 60.12.0-4.c.1.1, $\ldots$ |
$[]$ |
3920.t1 |
3920ba3 |
3920.t |
3920ba |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7^{2} \) |
\( 2^{13} \cdot 5^{2} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.105 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$1.705090$ |
$2121328796049/120050$ |
$1.01959$ |
$5.84689$ |
$[0, 0, 0, -209867, -37003526]$ |
\(y^2=x^3-209867x-37003526\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.k.1.3, 28.12.0-4.c.1.2, 56.48.0-56.v.1.7 |
$[]$ |
4410.b1 |
4410m3 |
4410.b |
4410m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2 \cdot 3^{6} \cdot 5^{2} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$168$ |
$48$ |
$0$ |
$2.503635521$ |
$1$ |
|
$6$ |
$24576$ |
$1.561249$ |
$2121328796049/120050$ |
$1.01959$ |
$5.55913$ |
$[1, -1, 0, -118050, -15581350]$ |
\(y^2+xy=x^3-x^2-118050x-15581350\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 24.24.0-8.k.1.3, 56.24.0.v.1, $\ldots$ |
$[(-197, 94)]$ |
5040.bm1 |
5040bn3 |
5040.bm |
5040bn |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{13} \cdot 3^{6} \cdot 5^{2} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$168$ |
$48$ |
$0$ |
$1.545186441$ |
$1$ |
|
$7$ |
$12288$ |
$1.281441$ |
$2121328796049/120050$ |
$1.01959$ |
$5.07820$ |
$[0, 0, 0, -38547, -2912814]$ |
\(y^2=x^3-38547x-2912814\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 12.12.0-4.c.1.2, 24.24.0-8.k.1.2, $\ldots$ |
$[(-113, 10)]$ |
8470.j1 |
8470h4 |
8470.j |
8470h |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2 \cdot 5^{2} \cdot 7^{4} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$616$ |
$48$ |
$0$ |
$0.790132393$ |
$1$ |
|
$6$ |
$20480$ |
$1.237936$ |
$2121328796049/120050$ |
$1.01959$ |
$4.72900$ |
$[1, -1, 0, -32390, 2251706]$ |
\(y^2+xy=x^3-x^2-32390x+2251706\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 44.12.0-4.c.1.1, 56.24.0.v.1, $\ldots$ |
$[(103, -69)]$ |
11200.bq1 |
11200bu4 |
11200.bq |
11200bu |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \) |
\( 2^{19} \cdot 5^{8} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.883427$ |
$2121328796049/120050$ |
$1.01959$ |
$5.41808$ |
$[0, 0, 0, -428300, 107882000]$ |
\(y^2=x^3-428300x+107882000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 20.12.0-4.c.1.2, 40.24.0-8.k.1.2, $\ldots$ |
$[]$ |
11200.bt1 |
11200p3 |
11200.bt |
11200p |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \) |
\( 2^{19} \cdot 5^{8} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.883427$ |
$2121328796049/120050$ |
$1.01959$ |
$5.41808$ |
$[0, 0, 0, -428300, -107882000]$ |
\(y^2=x^3-428300x-107882000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 20.12.0-4.c.1.1, 40.24.0-8.k.1.1, $\ldots$ |
$[]$ |
11830.h1 |
11830l3 |
11830.h |
11830l |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2 \cdot 5^{2} \cdot 7^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$728$ |
$48$ |
$0$ |
$2.569313348$ |
$1$ |
|
$2$ |
$30720$ |
$1.321463$ |
$2121328796049/120050$ |
$1.01959$ |
$4.66740$ |
$[1, -1, 0, -45239, -3692077]$ |
\(y^2+xy=x^3-x^2-45239x-3692077\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 52.12.0-4.c.1.1, 56.24.0.v.1, $\ldots$ |
$[(257, 1139)]$ |
15680.bv1 |
15680f4 |
15680.bv |
15680f |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \) |
\( 2^{19} \cdot 5^{2} \cdot 7^{10} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.117 |
2B |
$56$ |
$48$ |
$0$ |
$1.864038506$ |
$1$ |
|
$17$ |
$147456$ |
$2.051662$ |
$2121328796049/120050$ |
$1.01959$ |
$5.43834$ |
$[0, 0, 0, -839468, 296028208]$ |
\(y^2=x^3-839468x+296028208\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.k.1.4, 28.12.0-4.c.1.1, 56.48.0-56.v.1.5 |
$[(406, 4704), (534, 160)]$ |
15680.bx1 |
15680cb3 |
15680.bx |
15680cb |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \) |
\( 2^{19} \cdot 5^{2} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.117 |
2B |
$56$ |
$48$ |
$0$ |
$3.234423268$ |
$1$ |
|
$3$ |
$147456$ |
$2.051662$ |
$2121328796049/120050$ |
$1.01959$ |
$5.43834$ |
$[0, 0, 0, -839468, -296028208]$ |
\(y^2=x^3-839468x-296028208\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.k.1.4, 28.12.0-4.c.1.2, 56.48.0-56.v.1.2 |
$[(1162, 17248)]$ |
19600.bu1 |
19600cc3 |
19600.bu |
19600cc |
$4$ |
$4$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{13} \cdot 5^{8} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$280$ |
$48$ |
$0$ |
$10.19064445$ |
$1$ |
|
$1$ |
$442368$ |
$2.509808$ |
$2121328796049/120050$ |
$1.01959$ |
$5.87182$ |
$[0, 0, 0, -5246675, -4625440750]$ |
\(y^2=x^3-5246675x-4625440750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 40.24.0-8.k.1.3, 56.24.0.v.1, $\ldots$ |
$[(2134559/19, 2837016798/19)]$ |
20160.bj1 |
20160be4 |
20160.bj |
20160be |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{19} \cdot 3^{6} \cdot 5^{2} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.628016$ |
$2121328796049/120050$ |
$1.01959$ |
$4.78753$ |
$[0, 0, 0, -154188, 23302512]$ |
\(y^2=x^3-154188x+23302512\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 12.12.0-4.c.1.1, 24.24.0-8.k.1.1, $\ldots$ |
$[]$ |
20160.br1 |
20160ei3 |
20160.br |
20160ei |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{19} \cdot 3^{6} \cdot 5^{2} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.628016$ |
$2121328796049/120050$ |
$1.01959$ |
$4.78753$ |
$[0, 0, 0, -154188, -23302512]$ |
\(y^2=x^3-154188x-23302512\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 12.12.0-4.c.1.2, 24.24.0-8.k.1.2, $\ldots$ |
$[]$ |
20230.n1 |
20230r3 |
20230.n |
20230r |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2 \cdot 5^{2} \cdot 7^{4} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$952$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$81920$ |
$1.455595$ |
$2121328796049/120050$ |
$1.01959$ |
$4.57718$ |
$[1, -1, 1, -77362, -8262289]$ |
\(y^2+xy+y=x^3-x^2-77362x-8262289\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 68.12.0-4.c.1.1, $\ldots$ |
$[]$ |
22050.dd1 |
22050es4 |
22050.dd |
22050es |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2 \cdot 3^{6} \cdot 5^{8} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$589824$ |
$2.365967$ |
$2121328796049/120050$ |
$1.01959$ |
$5.63008$ |
$[1, -1, 1, -2951255, -1950620003]$ |
\(y^2+xy+y=x^3-x^2-2951255x-1950620003\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 120.24.0.?, $\ldots$ |
$[]$ |
25200.cw1 |
25200dy4 |
25200.cw |
25200dy |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{13} \cdot 3^{6} \cdot 5^{8} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$840$ |
$48$ |
$0$ |
$4.940981386$ |
$1$ |
|
$3$ |
$294912$ |
$2.086159$ |
$2121328796049/120050$ |
$1.01959$ |
$5.22459$ |
$[0, 0, 0, -963675, -364101750]$ |
\(y^2=x^3-963675x-364101750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 60.12.0-4.c.1.2, $\ldots$ |
$[(4330, 276850)]$ |
25270.e1 |
25270c4 |
25270.e |
25270c |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 2 \cdot 5^{2} \cdot 7^{4} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$1064$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$115200$ |
$1.511208$ |
$2121328796049/120050$ |
$1.01959$ |
$4.54257$ |
$[1, -1, 0, -96635, 11586075]$ |
\(y^2+xy=x^3-x^2-96635x+11586075\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 76.12.0.?, $\ldots$ |
$[]$ |
35280.cv1 |
35280el4 |
35280.cv |
35280el |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{13} \cdot 3^{6} \cdot 5^{2} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$2.254395$ |
$2121328796049/120050$ |
$1.01959$ |
$5.24951$ |
$[0, 0, 0, -1888803, 999095202]$ |
\(y^2=x^3-1888803x+999095202\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 24.24.0-8.k.1.3, 56.24.0.v.1, $\ldots$ |
$[]$ |
37030.s1 |
37030t4 |
37030.s |
37030t |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 23^{2} \) |
\( 2 \cdot 5^{2} \cdot 7^{4} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$1288$ |
$48$ |
$0$ |
$1.576622156$ |
$1$ |
|
$0$ |
$202752$ |
$1.606735$ |
$2121328796049/120050$ |
$1.01959$ |
$4.48653$ |
$[1, -1, 1, -141607, 20544781]$ |
\(y^2+xy+y=x^3-x^2-141607x+20544781\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 92.12.0.?, $\ldots$ |
$[(1519/2, 35507/2)]$ |
42350.cd1 |
42350bu4 |
42350.cd |
42350bu |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( 2 \cdot 5^{8} \cdot 7^{4} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$3080$ |
$48$ |
$0$ |
$8.885574378$ |
$1$ |
|
$0$ |
$491520$ |
$2.042656$ |
$2121328796049/120050$ |
$1.01959$ |
$4.92101$ |
$[1, -1, 1, -809755, 280653497]$ |
\(y^2+xy+y=x^3-x^2-809755x+280653497\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 220.12.0.?, $\ldots$ |
$[(357735/26, 1555943/26)]$ |
58870.d1 |
58870a4 |
58870.d |
58870a |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 29^{2} \) |
\( 2 \cdot 5^{2} \cdot 7^{4} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$1624$ |
$48$ |
$0$ |
$4.177398592$ |
$1$ |
|
$2$ |
$387072$ |
$1.722635$ |
$2121328796049/120050$ |
$1.01959$ |
$4.42379$ |
$[1, -1, 0, -225125, -41055189]$ |
\(y^2+xy=x^3-x^2-225125x-41055189\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 116.12.0.?, $\ldots$ |
$[(1617, 61005)]$ |
59150.bp1 |
59150bd4 |
59150.bp |
59150bd |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( 2 \cdot 5^{8} \cdot 7^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$737280$ |
$2.126183$ |
$2121328796049/120050$ |
$1.01959$ |
$4.86260$ |
$[1, -1, 1, -1130980, -462640603]$ |
\(y^2+xy+y=x^3-x^2-1130980x-462640603\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 260.12.0.?, $\ldots$ |
$[]$ |
59290.bc1 |
59290br4 |
59290.bc |
59290br |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
\( 2 \cdot 5^{2} \cdot 7^{10} \cdot 11^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$616$ |
$48$ |
$0$ |
$14.29326355$ |
$1$ |
|
$6$ |
$983040$ |
$2.210892$ |
$2121328796049/120050$ |
$1.01959$ |
$4.95404$ |
$[1, -1, 0, -1587119, -769160925]$ |
\(y^2+xy=x^3-x^2-1587119x-769160925\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 88.24.0.?, $\ldots$ |
$[(4671, 303792), (-729, 537)]$ |
67270.bd1 |
67270y4 |
67270.bd |
67270y |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 31^{2} \) |
\( 2 \cdot 5^{2} \cdot 7^{4} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$1736$ |
$48$ |
$0$ |
$3.405343226$ |
$1$ |
|
$0$ |
$460800$ |
$1.755981$ |
$2121328796049/120050$ |
$1.01959$ |
$4.40670$ |
$[1, -1, 1, -257248, 50281697]$ |
\(y^2+xy+y=x^3-x^2-257248x+50281697\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 124.12.0.?, $\ldots$ |
$[(683/2, 26221/2)]$ |
67760.ba1 |
67760ba4 |
67760.ba |
67760ba |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2^{13} \cdot 5^{2} \cdot 7^{4} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$616$ |
$48$ |
$0$ |
$6.833601080$ |
$1$ |
|
$1$ |
$491520$ |
$1.931082$ |
$2121328796049/120050$ |
$1.01959$ |
$4.59272$ |
$[0, 0, 0, -518243, -143590942]$ |
\(y^2=x^3-518243x-143590942\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 44.12.0-4.c.1.2, 56.24.0.v.1, $\ldots$ |
$[(16687/3, 1959958/3)]$ |
76230.fg1 |
76230fe4 |
76230.fg |
76230fe |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 2 \cdot 3^{6} \cdot 5^{2} \cdot 7^{4} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$655360$ |
$1.787241$ |
$2121328796049/120050$ |
$1.01959$ |
$4.39106$ |
$[1, -1, 1, -291512, -60504551]$ |
\(y^2+xy+y=x^3-x^2-291512x-60504551\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 132.12.0.?, $\ldots$ |
$[]$ |
78400.fc1 |
78400y4 |
78400.fc |
78400y |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{19} \cdot 5^{8} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3538944$ |
$2.856384$ |
$2121328796049/120050$ |
$1.01959$ |
$5.51856$ |
$[0, 0, 0, -20986700, 37003526000]$ |
\(y^2=x^3-20986700x+37003526000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 40.24.0-8.k.1.4, 56.24.0.v.1, $\ldots$ |
$[]$ |
78400.gq1 |
78400gy4 |
78400.gq |
78400gy |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{19} \cdot 5^{8} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$280$ |
$48$ |
$0$ |
$25.65405757$ |
$1$ |
|
$1$ |
$3538944$ |
$2.856384$ |
$2121328796049/120050$ |
$1.01959$ |
$5.51856$ |
$[0, 0, 0, -20986700, -37003526000]$ |
\(y^2=x^3-20986700x-37003526000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 40.24.0-8.k.1.4, 56.24.0.v.1, $\ldots$ |
$[(-3742023113435/37609, 71483788651380825/37609)]$ |
82810.q1 |
82810e4 |
82810.q |
82810e |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 13^{2} \) |
\( 2 \cdot 5^{2} \cdot 7^{10} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1474560$ |
$2.294418$ |
$2121328796049/120050$ |
$1.01959$ |
$4.89639$ |
$[1, -1, 0, -2216720, 1270815846]$ |
\(y^2+xy=x^3-x^2-2216720x+1270815846\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 104.24.0.?, $\ldots$ |
$[]$ |
94640.bz1 |
94640cj4 |
94640.bz |
94640cj |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2^{13} \cdot 5^{2} \cdot 7^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$728$ |
$48$ |
$0$ |
$4.318046803$ |
$1$ |
|
$1$ |
$737280$ |
$2.014610$ |
$2121328796049/120050$ |
$1.01959$ |
$4.54628$ |
$[0, 0, 0, -723827, 237016754]$ |
\(y^2=x^3-723827x+237016754\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 52.12.0-4.c.1.2, 56.24.0.v.1, $\ldots$ |
$[(2417/2, 36015/2)]$ |
95830.j1 |
95830e4 |
95830.j |
95830e |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 37^{2} \) |
\( 2 \cdot 5^{2} \cdot 7^{4} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$2072$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$774144$ |
$1.844446$ |
$2121328796049/120050$ |
$1.01959$ |
$4.36331$ |
$[1, -1, 0, -366464, -85291930]$ |
\(y^2+xy=x^3-x^2-366464x-85291930\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 148.12.0.?, $\ldots$ |
$[]$ |
100800.p1 |
100800mg4 |
100800.p |
100800mg |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{19} \cdot 3^{6} \cdot 5^{8} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$840$ |
$48$ |
$0$ |
$5.240113637$ |
$1$ |
|
$3$ |
$2359296$ |
$2.432735$ |
$2121328796049/120050$ |
$1.01959$ |
$4.95691$ |
$[0, 0, 0, -3854700, -2912814000]$ |
\(y^2=x^3-3854700x-2912814000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 60.12.0-4.c.1.2, $\ldots$ |
$[(2829, 93933)]$ |
100800.op1 |
100800fn4 |
100800.op |
100800fn |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{19} \cdot 3^{6} \cdot 5^{8} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$840$ |
$48$ |
$0$ |
$1.651977002$ |
$1$ |
|
$7$ |
$2359296$ |
$2.432735$ |
$2121328796049/120050$ |
$1.01959$ |
$4.95691$ |
$[0, 0, 0, -3854700, 2912814000]$ |
\(y^2=x^3-3854700x+2912814000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 60.12.0-4.c.1.1, $\ldots$ |
$[(1126, 224)]$ |
101150.o1 |
101150c4 |
101150.o |
101150c |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( 2 \cdot 5^{8} \cdot 7^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$4760$ |
$48$ |
$0$ |
$6.638746347$ |
$1$ |
|
$0$ |
$1966080$ |
$2.260315$ |
$2121328796049/120050$ |
$1.01959$ |
$4.77588$ |
$[1, -1, 0, -1934042, -1034720134]$ |
\(y^2+xy=x^3-x^2-1934042x-1034720134\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 340.12.0.?, $\ldots$ |
$[(-28865/6, 38869/6)]$ |
106470.eq1 |
106470ew4 |
106470.eq |
106470ew |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13^{2} \) |
\( 2 \cdot 3^{6} \cdot 5^{2} \cdot 7^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$983040$ |
$1.870768$ |
$2121328796049/120050$ |
$1.01959$ |
$4.35091$ |
$[1, -1, 1, -407153, 100093231]$ |
\(y^2+xy+y=x^3-x^2-407153x+100093231\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 156.12.0.?, $\ldots$ |
$[]$ |
117670.m1 |
117670m4 |
117670.m |
117670m |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 41^{2} \) |
\( 2 \cdot 5^{2} \cdot 7^{4} \cdot 41^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$2296$ |
$48$ |
$0$ |
$6.269354435$ |
$1$ |
|
$0$ |
$1126400$ |
$1.895773$ |
$2121328796049/120050$ |
$1.01959$ |
$4.33933$ |
$[1, -1, 1, -449983, -116064619]$ |
\(y^2+xy+y=x^3-x^2-449983x-116064619\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 164.12.0.?, $\ldots$ |
$[(15461/4, 1167599/4)]$ |
126350.dh1 |
126350cu4 |
126350.dh |
126350cu |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 19^{2} \) |
\( 2 \cdot 5^{8} \cdot 7^{4} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$5320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2764800$ |
$2.315926$ |
$2121328796049/120050$ |
$1.01959$ |
$4.74225$ |
$[1, -1, 1, -2415880, 1445843497]$ |
\(y^2+xy+y=x^3-x^2-2415880x+1445843497\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 380.12.0.?, $\ldots$ |
$[]$ |
129430.g1 |
129430k4 |
129430.g |
129430k |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7 \cdot 43^{2} \) |
\( 2 \cdot 5^{2} \cdot 7^{4} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$2408$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1290240$ |
$1.919588$ |
$2121328796049/120050$ |
$1.01959$ |
$4.32850$ |
$[1, -1, 0, -494954, 134145210]$ |
\(y^2+xy=x^3-x^2-494954x+134145210\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 172.12.0.?, $\ldots$ |
$[]$ |
141120.ir1 |
141120d3 |
141120.ir |
141120d |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{19} \cdot 3^{6} \cdot 5^{2} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$168$ |
$48$ |
$0$ |
$3.403021907$ |
$1$ |
|
$5$ |
$4718592$ |
$2.600971$ |
$2121328796049/120050$ |
$1.01959$ |
$4.98651$ |
$[0, 0, 0, -7555212, 7992761616]$ |
\(y^2=x^3-7555212x+7992761616\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 24.24.0-8.k.1.4, 56.24.0.v.1, $\ldots$ |
$[(1632, 3060)]$ |
141120.oq1 |
141120jy4 |
141120.oq |
141120jy |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{19} \cdot 3^{6} \cdot 5^{2} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$4718592$ |
$2.600971$ |
$2121328796049/120050$ |
$1.01959$ |
$4.98651$ |
$[0, 0, 0, -7555212, -7992761616]$ |
\(y^2=x^3-7555212x-7992761616\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 24.24.0-8.k.1.4, 56.24.0.v.1, $\ldots$ |
$[]$ |
141610.cg1 |
141610s3 |
141610.cg |
141610s |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 2 \cdot 5^{2} \cdot 7^{10} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$952$ |
$48$ |
$0$ |
$4.148331906$ |
$1$ |
|
$0$ |
$3932160$ |
$2.428551$ |
$2121328796049/120050$ |
$1.01959$ |
$4.81061$ |
$[1, -1, 1, -3790723, 2841546481]$ |
\(y^2+xy+y=x^3-x^2-3790723x+2841546481\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 136.24.0.?, $\ldots$ |
$[(40231/6, -92479/6)]$ |