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 |
56.a2 |
56a3 |
56.a |
56a |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \) |
\( 2^{11} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.58 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8$ |
$-0.002033$ |
$11090466/2401$ |
$1.11706$ |
$5.92401$ |
$[0, 0, 0, -59, -138]$ |
\(y^2=x^3-59x-138\) |
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 |
$[]$ |
112.b2 |
112b4 |
112.b |
112b |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \) |
\( 2^{11} \cdot 7^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.49 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$16$ |
$-0.002033$ |
$11090466/2401$ |
$1.11706$ |
$5.05377$ |
$[0, 0, 0, -59, 138]$ |
\(y^2=x^3-59x+138\) |
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 |
$[]$ |
392.d2 |
392a4 |
392.d |
392a |
$4$ |
$4$ |
\( 2^{3} \cdot 7^{2} \) |
\( 2^{11} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.105 |
2B |
$56$ |
$48$ |
$0$ |
$1.891959002$ |
$1$ |
|
$3$ |
$384$ |
$0.970922$ |
$11090466/2401$ |
$1.11706$ |
$5.94877$ |
$[0, 0, 0, -2891, 47334]$ |
\(y^2=x^3-2891x+47334\) |
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 |
$[(14, 98)]$ |
448.d2 |
448a3 |
448.d |
448a |
$4$ |
$4$ |
\( 2^{6} \cdot 7 \) |
\( 2^{17} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.58 |
2B |
$56$ |
$48$ |
$0$ |
$0.696738583$ |
$1$ |
|
$7$ |
$128$ |
$0.344541$ |
$11090466/2401$ |
$1.11706$ |
$4.58740$ |
$[0, 0, 0, -236, -1104]$ |
\(y^2=x^3-236x-1104\) |
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 |
$[(-10, 16)]$ |
448.e2 |
448b4 |
448.e |
448b |
$4$ |
$4$ |
\( 2^{6} \cdot 7 \) |
\( 2^{17} \cdot 7^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.49 |
2B |
$56$ |
$48$ |
$0$ |
$1.069108576$ |
$1$ |
|
$9$ |
$128$ |
$0.344541$ |
$11090466/2401$ |
$1.11706$ |
$4.58740$ |
$[0, 0, 0, -236, 1104]$ |
\(y^2=x^3-236x+1104\) |
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 |
$[(5, 7)]$ |
504.c2 |
504c4 |
504.c |
504c |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \) |
\( 2^{11} \cdot 3^{6} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$256$ |
$0.547274$ |
$11090466/2401$ |
$1.11706$ |
$4.89153$ |
$[0, 0, 0, -531, 3726]$ |
\(y^2=x^3-531x+3726\) |
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, $\ldots$ |
$[]$ |
784.e2 |
784c3 |
784.e |
784c |
$4$ |
$4$ |
\( 2^{4} \cdot 7^{2} \) |
\( 2^{11} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.105 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.970922$ |
$11090466/2401$ |
$1.11706$ |
$5.33006$ |
$[0, 0, 0, -2891, -47334]$ |
\(y^2=x^3-2891x-47334\) |
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 |
$[]$ |
1008.d2 |
1008h3 |
1008.d |
1008h |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \) |
\( 2^{11} \cdot 3^{6} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$168$ |
$48$ |
$0$ |
$0.284457192$ |
$1$ |
|
$13$ |
$512$ |
$0.547274$ |
$11090466/2401$ |
$1.11706$ |
$4.40126$ |
$[0, 0, 0, -531, -3726]$ |
\(y^2=x^3-531x-3726\) |
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, $\ldots$ |
$[(-11, 28)]$ |
1400.g2 |
1400a3 |
1400.g |
1400a |
$4$ |
$4$ |
\( 2^{3} \cdot 5^{2} \cdot 7 \) |
\( 2^{11} \cdot 5^{6} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.802686$ |
$11090466/2401$ |
$1.11706$ |
$4.62476$ |
$[0, 0, 0, -1475, -17250]$ |
\(y^2=x^3-1475x-17250\) |
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, $\ldots$ |
$[]$ |
2800.p2 |
2800a4 |
2800.p |
2800a |
$4$ |
$4$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \) |
\( 2^{11} \cdot 5^{6} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$280$ |
$48$ |
$0$ |
$0.778286092$ |
$1$ |
|
$7$ |
$2048$ |
$0.802686$ |
$11090466/2401$ |
$1.11706$ |
$4.22090$ |
$[0, 0, 0, -1475, 17250]$ |
\(y^2=x^3-1475x+17250\) |
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, $\ldots$ |
$[(5, 100)]$ |
3136.p2 |
3136s3 |
3136.p |
3136s |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{17} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.117 |
2B |
$56$ |
$48$ |
$0$ |
$1.933057233$ |
$1$ |
|
$3$ |
$6144$ |
$1.317495$ |
$11090466/2401$ |
$1.11706$ |
$4.92883$ |
$[0, 0, 0, -11564, -378672]$ |
\(y^2=x^3-11564x-378672\) |
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 |
$[(266, 3920)]$ |
3136.q2 |
3136e4 |
3136.q |
3136e |
$4$ |
$4$ |
\( 2^{6} \cdot 7^{2} \) |
\( 2^{17} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.117 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$1.317495$ |
$11090466/2401$ |
$1.11706$ |
$4.92883$ |
$[0, 0, 0, -11564, 378672]$ |
\(y^2=x^3-11564x+378672\) |
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 |
$[]$ |
3528.x2 |
3528k3 |
3528.x |
3528k |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 3^{6} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$168$ |
$48$ |
$0$ |
$5.176488807$ |
$1$ |
|
$1$ |
$12288$ |
$1.520229$ |
$11090466/2401$ |
$1.11706$ |
$5.15559$ |
$[0, 0, 0, -26019, -1278018]$ |
\(y^2=x^3-26019x-1278018\) |
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, $\ldots$ |
$[(-279/2, 3555/2)]$ |
4032.bb2 |
4032g4 |
4032.bb |
4032g |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \) |
\( 2^{17} \cdot 3^{6} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.893847$ |
$11090466/2401$ |
$1.11706$ |
$4.16727$ |
$[0, 0, 0, -2124, 29808]$ |
\(y^2=x^3-2124x+29808\) |
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, $\ldots$ |
$[]$ |
4032.bk2 |
4032bj3 |
4032.bk |
4032bj |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \) |
\( 2^{17} \cdot 3^{6} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.893847$ |
$11090466/2401$ |
$1.11706$ |
$4.16727$ |
$[0, 0, 0, -2124, -29808]$ |
\(y^2=x^3-2124x-29808\) |
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, $\ldots$ |
$[]$ |
6776.g2 |
6776c4 |
6776.g |
6776c |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 11^{2} \) |
\( 2^{11} \cdot 7^{4} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$616$ |
$48$ |
$0$ |
$3.287005482$ |
$1$ |
|
$3$ |
$10240$ |
$1.196915$ |
$11090466/2401$ |
$1.11706$ |
$4.33431$ |
$[0, 0, 0, -7139, 183678]$ |
\(y^2=x^3-7139x+183678\) |
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, $\ldots$ |
$[(-46, 644)]$ |
7056.bo2 |
7056x4 |
7056.bo |
7056x |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 3^{6} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$168$ |
$48$ |
$0$ |
$1.117838164$ |
$1$ |
|
$7$ |
$24576$ |
$1.520229$ |
$11090466/2401$ |
$1.11706$ |
$4.75232$ |
$[0, 0, 0, -26019, 1278018]$ |
\(y^2=x^3-26019x+1278018\) |
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, $\ldots$ |
$[(189, 1764)]$ |
9464.c2 |
9464d3 |
9464.c |
9464d |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 13^{2} \) |
\( 2^{11} \cdot 7^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$1.280441$ |
$11090466/2401$ |
$1.11706$ |
$4.28562$ |
$[0, 0, 0, -9971, -303186]$ |
\(y^2=x^3-9971x-303186\) |
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, $\ldots$ |
$[]$ |
9800.u2 |
9800d4 |
9800.u |
9800d |
$4$ |
$4$ |
\( 2^{3} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 5^{6} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.775640$ |
$11090466/2401$ |
$1.11706$ |
$4.91596$ |
$[0, 0, 0, -72275, 5916750]$ |
\(y^2=x^3-72275x+5916750\) |
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, $\ldots$ |
$[]$ |
11200.bk2 |
11200bv4 |
11200.bk |
11200bv |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \) |
\( 2^{17} \cdot 5^{6} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$16384$ |
$1.149260$ |
$11090466/2401$ |
$1.11706$ |
$4.03937$ |
$[0, 0, 0, -5900, 138000]$ |
\(y^2=x^3-5900x+138000\) |
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.ca2 |
11200n3 |
11200.ca |
11200n |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \) |
\( 2^{17} \cdot 5^{6} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$16384$ |
$1.149260$ |
$11090466/2401$ |
$1.11706$ |
$4.03937$ |
$[0, 0, 0, -5900, -138000]$ |
\(y^2=x^3-5900x-138000\) |
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, $\ldots$ |
$[]$ |
12600.ci2 |
12600cc4 |
12600.ci |
12600cc |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{11} \cdot 3^{6} \cdot 5^{6} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$32768$ |
$1.351992$ |
$11090466/2401$ |
$1.11706$ |
$4.24665$ |
$[0, 0, 0, -13275, 465750]$ |
\(y^2=x^3-13275x+465750\) |
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, $\ldots$ |
$[]$ |
13552.p2 |
13552c3 |
13552.p |
13552c |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \) |
\( 2^{11} \cdot 7^{4} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$616$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$20480$ |
$1.196915$ |
$11090466/2401$ |
$1.11706$ |
$4.01854$ |
$[0, 0, 0, -7139, -183678]$ |
\(y^2=x^3-7139x-183678\) |
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, $\ldots$ |
$[]$ |
16184.d2 |
16184d3 |
16184.d |
16184d |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \) |
\( 2^{11} \cdot 7^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$952$ |
$48$ |
$0$ |
$2.655035150$ |
$1$ |
|
$3$ |
$36864$ |
$1.414574$ |
$11090466/2401$ |
$1.11706$ |
$4.21445$ |
$[0, 0, 0, -17051, -677994]$ |
\(y^2=x^3-17051x-677994\) |
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, $\ldots$ |
$[(170, 1156)]$ |
18928.n2 |
18928b4 |
18928.n |
18928b |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \) |
\( 2^{11} \cdot 7^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$728$ |
$48$ |
$0$ |
$1.272553931$ |
$1$ |
|
$7$ |
$36864$ |
$1.280441$ |
$11090466/2401$ |
$1.11706$ |
$3.98399$ |
$[0, 0, 0, -9971, 303186]$ |
\(y^2=x^3-9971x+303186\) |
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, $\ldots$ |
$[(29, 196)]$ |
19600.cj2 |
19600h3 |
19600.cj |
19600h |
$4$ |
$4$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 5^{6} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.775640$ |
$11090466/2401$ |
$1.11706$ |
$4.57118$ |
$[0, 0, 0, -72275, -5916750]$ |
\(y^2=x^3-72275x-5916750\) |
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, $\ldots$ |
$[]$ |
20216.h2 |
20216b4 |
20216.h |
20216b |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 19^{2} \) |
\( 2^{11} \cdot 7^{4} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$1064$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$48384$ |
$1.470186$ |
$11090466/2401$ |
$1.11706$ |
$4.18720$ |
$[0, 0, 0, -21299, 946542]$ |
\(y^2=x^3-21299x+946542\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 76.12.0.?, $\ldots$ |
$[]$ |
25200.l2 |
25200bf3 |
25200.l |
25200bf |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{11} \cdot 3^{6} \cdot 5^{6} \cdot 7^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$840$ |
$48$ |
$0$ |
$4.197797070$ |
$1$ |
|
$13$ |
$65536$ |
$1.351992$ |
$11090466/2401$ |
$1.11706$ |
$3.95620$ |
$[0, 0, 0, -13275, -465750]$ |
\(y^2=x^3-13275x-465750\) |
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, $\ldots$ |
$[(-41, 98), (-65, 350)]$ |
28224.bd2 |
28224ck3 |
28224.bd |
28224ck |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{17} \cdot 3^{6} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$168$ |
$48$ |
$0$ |
$3.860942544$ |
$1$ |
|
$5$ |
$196608$ |
$1.866802$ |
$11090466/2401$ |
$1.11706$ |
$4.51528$ |
$[0, 0, 0, -104076, -10224144]$ |
\(y^2=x^3-104076x-10224144\) |
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, $\ldots$ |
$[(-216, 1476)]$ |
28224.by2 |
28224gd3 |
28224.by |
28224gd |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{17} \cdot 3^{6} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$196608$ |
$1.866802$ |
$11090466/2401$ |
$1.11706$ |
$4.51528$ |
$[0, 0, 0, -104076, 10224144]$ |
\(y^2=x^3-104076x+10224144\) |
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, $\ldots$ |
$[]$ |
29624.g2 |
29624n3 |
29624.g |
29624n |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 23^{2} \) |
\( 2^{11} \cdot 7^{4} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$101376$ |
$1.565714$ |
$11090466/2401$ |
$1.11706$ |
$4.14314$ |
$[0, 0, 0, -31211, 1679046]$ |
\(y^2=x^3-31211x+1679046\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 92.12.0.?, $\ldots$ |
$[]$ |
32368.q2 |
32368a3 |
32368.q |
32368a |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{11} \cdot 7^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$952$ |
$48$ |
$0$ |
$1.401312418$ |
$1$ |
|
$7$ |
$73728$ |
$1.414574$ |
$11090466/2401$ |
$1.11706$ |
$3.93315$ |
$[0, 0, 0, -17051, 677994]$ |
\(y^2=x^3-17051x+677994\) |
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.1.2, $\ldots$ |
$[(119, 578)]$ |
40432.l2 |
40432j3 |
40432.l |
40432j |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 19^{2} \) |
\( 2^{11} \cdot 7^{4} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$1064$ |
$48$ |
$0$ |
$2.089631319$ |
$1$ |
|
$3$ |
$96768$ |
$1.470186$ |
$11090466/2401$ |
$1.11706$ |
$3.91358$ |
$[0, 0, 0, -21299, -946542]$ |
\(y^2=x^3-21299x-946542\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 76.12.0.?, $\ldots$ |
$[(-51, 84)]$ |
47096.i2 |
47096a3 |
47096.i |
47096a |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 29^{2} \) |
\( 2^{11} \cdot 7^{4} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$1624$ |
$48$ |
$0$ |
$21.19146760$ |
$1$ |
|
$1$ |
$193536$ |
$1.681616$ |
$11090466/2401$ |
$1.11706$ |
$4.09389$ |
$[0, 0, 0, -49619, -3365682]$ |
\(y^2=x^3-49619x-3365682\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 116.12.0.?, $\ldots$ |
$[(45825785529/1990, 9808078381360917/1990)]$ |
47432.n2 |
47432g3 |
47432.n |
47432g |
$4$ |
$4$ |
\( 2^{3} \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{11} \cdot 7^{10} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$616$ |
$48$ |
$0$ |
$10.53296522$ |
$1$ |
|
$1$ |
$491520$ |
$2.169868$ |
$11090466/2401$ |
$1.11706$ |
$4.63535$ |
$[0, 0, 0, -349811, -63001554]$ |
\(y^2=x^3-349811x-63001554\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 88.24.0.?, $\ldots$ |
$[(357522/13, 204506940/13)]$ |
53816.d2 |
53816c3 |
53816.d |
53816c |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 31^{2} \) |
\( 2^{11} \cdot 7^{4} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$1736$ |
$48$ |
$0$ |
$8.927224528$ |
$1$ |
|
$1$ |
$230400$ |
$1.714960$ |
$11090466/2401$ |
$1.11706$ |
$4.08049$ |
$[0, 0, 0, -56699, 4111158]$ |
\(y^2=x^3-56699x+4111158\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 124.12.0.?, $\ldots$ |
$[(100874/35, 1045568/35)]$ |
54208.bj2 |
54208bx3 |
54208.bj |
54208bx |
$4$ |
$4$ |
\( 2^{6} \cdot 7 \cdot 11^{2} \) |
\( 2^{17} \cdot 7^{4} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$616$ |
$48$ |
$0$ |
$5.493109536$ |
$1$ |
|
$1$ |
$163840$ |
$1.543488$ |
$11090466/2401$ |
$1.11706$ |
$3.88901$ |
$[0, 0, 0, -28556, -1469424]$ |
\(y^2=x^3-28556x-1469424\) |
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, $\ldots$ |
$[(1837/3, 29645/3)]$ |
54208.bl2 |
54208be3 |
54208.bl |
54208be |
$4$ |
$4$ |
\( 2^{6} \cdot 7 \cdot 11^{2} \) |
\( 2^{17} \cdot 7^{4} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$616$ |
$48$ |
$0$ |
$2.938041868$ |
$1$ |
|
$3$ |
$163840$ |
$1.543488$ |
$11090466/2401$ |
$1.11706$ |
$3.88901$ |
$[0, 0, 0, -28556, 1469424]$ |
\(y^2=x^3-28556x+1469424\) |
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, $\ldots$ |
$[(20, 952)]$ |
59248.n2 |
59248c3 |
59248.n |
59248c |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 23^{2} \) |
\( 2^{11} \cdot 7^{4} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$1288$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$202752$ |
$1.565714$ |
$11090466/2401$ |
$1.11706$ |
$3.88182$ |
$[0, 0, 0, -31211, -1679046]$ |
\(y^2=x^3-31211x-1679046\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 92.12.0.?, $\ldots$ |
$[]$ |
60984.p2 |
60984ch3 |
60984.p |
60984ch |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( 2^{11} \cdot 3^{6} \cdot 7^{4} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$1848$ |
$48$ |
$0$ |
$3.654838797$ |
$1$ |
|
$3$ |
$327680$ |
$1.746222$ |
$11090466/2401$ |
$1.11706$ |
$4.06823$ |
$[0, 0, 0, -64251, -4959306]$ |
\(y^2=x^3-64251x-4959306\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 132.12.0.?, $\ldots$ |
$[(286, 242)]$ |
66248.p2 |
66248e3 |
66248.p |
66248e |
$4$ |
$4$ |
\( 2^{3} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{11} \cdot 7^{10} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$728$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$884736$ |
$2.253395$ |
$11090466/2401$ |
$1.11706$ |
$4.58613$ |
$[0, 0, 0, -488579, 103992798]$ |
\(y^2=x^3-488579x+103992798\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 104.24.0.?, $\ldots$ |
$[]$ |
75712.bv2 |
75712bs3 |
75712.bv |
75712bs |
$4$ |
$4$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( 2^{17} \cdot 7^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.627016$ |
$11090466/2401$ |
$1.11706$ |
$3.86257$ |
$[0, 0, 0, -39884, 2425488]$ |
\(y^2=x^3-39884x+2425488\) |
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, $\ldots$ |
$[]$ |
75712.bw2 |
75712z3 |
75712.bw |
75712z |
$4$ |
$4$ |
\( 2^{6} \cdot 7 \cdot 13^{2} \) |
\( 2^{17} \cdot 7^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.627016$ |
$11090466/2401$ |
$1.11706$ |
$3.86257$ |
$[0, 0, 0, -39884, -2425488]$ |
\(y^2=x^3-39884x-2425488\) |
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, $\ldots$ |
$[]$ |
76664.b2 |
76664b3 |
76664.b |
76664b |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 37^{2} \) |
\( 2^{11} \cdot 7^{4} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$2072$ |
$48$ |
$0$ |
$9.271510027$ |
$1$ |
|
$1$ |
$414720$ |
$1.803427$ |
$11090466/2401$ |
$1.11706$ |
$4.04650$ |
$[0, 0, 0, -80771, -6990114]$ |
\(y^2=x^3-80771x-6990114\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 148.12.0.?, $\ldots$ |
$[(-62394/17, 3047898/17)]$ |
78400.ey2 |
78400gz3 |
78400.ey |
78400gz |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{17} \cdot 5^{6} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$280$ |
$48$ |
$0$ |
$4.461008584$ |
$1$ |
|
$3$ |
$786432$ |
$2.122215$ |
$11090466/2401$ |
$1.11706$ |
$4.37791$ |
$[0, 0, 0, -289100, -47334000]$ |
\(y^2=x^3-289100x-47334000\) |
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, $\ldots$ |
$[(-195, 1275)]$ |
78400.gm2 |
78400u3 |
78400.gm |
78400u |
$4$ |
$4$ |
\( 2^{6} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{17} \cdot 5^{6} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$786432$ |
$2.122215$ |
$11090466/2401$ |
$1.11706$ |
$4.37791$ |
$[0, 0, 0, -289100, 47334000]$ |
\(y^2=x^3-289100x+47334000\) |
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, $\ldots$ |
$[]$ |
85176.bs2 |
85176ce3 |
85176.bs |
85176ce |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{6} \cdot 7^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$1.829748$ |
$11090466/2401$ |
$1.11706$ |
$4.03679$ |
$[0, 0, 0, -89739, 8186022]$ |
\(y^2=x^3-89739x+8186022\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 156.12.0.?, $\ldots$ |
$[]$ |
88200.hm2 |
88200gt3 |
88200.hm |
88200gt |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 3^{6} \cdot 5^{6} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1572864$ |
$2.324947$ |
$11090466/2401$ |
$1.11706$ |
$4.54627$ |
$[0, 0, 0, -650475, -159752250]$ |
\(y^2=x^3-650475x-159752250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 120.24.0.?, $\ldots$ |
$[]$ |
94136.f2 |
94136f3 |
94136.f |
94136f |
$4$ |
$4$ |
\( 2^{3} \cdot 7 \cdot 41^{2} \) |
\( 2^{11} \cdot 7^{4} \cdot 41^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$2296$ |
$48$ |
$0$ |
$7.421941092$ |
$1$ |
|
$1$ |
$563200$ |
$1.854753$ |
$11090466/2401$ |
$1.11706$ |
$4.02774$ |
$[0, 0, 0, -99179, -9511098]$ |
\(y^2=x^3-99179x-9511098\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 164.12.0.?, $\ldots$ |
$[(51209/10, 8601677/10)]$ |
94192.r2 |
94192i3 |
94192.r |
94192i |
$4$ |
$4$ |
\( 2^{4} \cdot 7 \cdot 29^{2} \) |
\( 2^{11} \cdot 7^{4} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$1624$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$387072$ |
$1.681616$ |
$11090466/2401$ |
$1.11706$ |
$3.84612$ |
$[0, 0, 0, -49619, 3365682]$ |
\(y^2=x^3-49619x+3365682\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 116.12.0.?, $\ldots$ |
$[]$ |