| 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 |
| 96.a1 |
96b2 |
96.a |
96b |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \) |
\( 2^{9} \cdot 3 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.102 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8$ |
$-0.426220$ |
$7301384/3$ |
$1.03749$ |
$4.82914$ |
$[0, -1, 0, -32, -60]$ |
\(y^2=x^3-x^2-32x-60\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.5, 12.12.0-4.c.1.2, 24.48.0-24.bi.1.3 |
$[]$ |
| 96.b1 |
96a3 |
96.b |
96a |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \) |
\( 2^{9} \cdot 3 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.104 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8$ |
$-0.426220$ |
$7301384/3$ |
$1.03749$ |
$4.82914$ |
$[0, 1, 0, -32, 60]$ |
\(y^2=x^3+x^2-32x+60\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.7, 12.12.0-4.c.1.1, 24.48.0-24.bi.1.4 |
$[]$ |
| 192.a1 |
192a3 |
192.a |
192a |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \) |
\( 2^{15} \cdot 3 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.53 |
2B |
$24$ |
$48$ |
$0$ |
$1.351603734$ |
$1$ |
|
$9$ |
$32$ |
$-0.079647$ |
$7301384/3$ |
$1.03749$ |
$4.98351$ |
$[0, -1, 0, -129, 609]$ |
\(y^2=x^3-x^2-129x+609\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.1, 24.48.0-24.bi.1.2 |
$[(8, 5)]$ |
| 192.c1 |
192b3 |
192.c |
192b |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \) |
\( 2^{15} \cdot 3 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.63 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$32$ |
$-0.079647$ |
$7301384/3$ |
$1.03749$ |
$4.98351$ |
$[0, 1, 0, -129, -609]$ |
\(y^2=x^3+x^2-129x-609\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.3, 24.48.0-24.bi.1.1 |
$[]$ |
| 288.b1 |
288b2 |
288.b |
288b |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{9} \cdot 3^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.64 |
2B |
$24$ |
$48$ |
$0$ |
$2.480678691$ |
$1$ |
|
$3$ |
$64$ |
$0.123086$ |
$7301384/3$ |
$1.03749$ |
$5.05629$ |
$[0, 0, 0, -291, -1910]$ |
\(y^2=x^3-291x-1910\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.6, 24.48.0-24.bi.1.8 |
$[(26, 90)]$ |
| 288.c1 |
288c3 |
288.c |
288c |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \) |
\( 2^{9} \cdot 3^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.54 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$64$ |
$0.123086$ |
$7301384/3$ |
$1.03749$ |
$5.05629$ |
$[0, 0, 0, -291, 1910]$ |
\(y^2=x^3-291x+1910\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.8, 24.48.0-24.bi.1.7 |
$[]$ |
| 576.g1 |
576c3 |
576.g |
576c |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{15} \cdot 3^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.110 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$256$ |
$0.469659$ |
$7301384/3$ |
$1.03749$ |
$5.15920$ |
$[0, 0, 0, -1164, -15280]$ |
\(y^2=x^3-1164x-15280\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.4, 12.12.0-4.c.1.2, 24.48.0-24.bi.1.6 |
$[]$ |
| 576.h1 |
576b3 |
576.h |
576b |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \) |
\( 2^{15} \cdot 3^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.114 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$256$ |
$0.469659$ |
$7301384/3$ |
$1.03749$ |
$5.15920$ |
$[0, 0, 0, -1164, 15280]$ |
\(y^2=x^3-1164x+15280\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.2, 12.12.0-4.c.1.1, 24.48.0-24.bi.1.5 |
$[]$ |
| 2400.q1 |
2400u3 |
2400.q |
2400u |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{9} \cdot 3 \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.378499$ |
$7301384/3$ |
$1.03749$ |
$4.07267$ |
$[0, -1, 0, -808, 9112]$ |
\(y^2=x^3-x^2-808x+9112\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 40.24.0-8.m.1.4, $\ldots$ |
$[]$ |
| 2400.r1 |
2400m2 |
2400.r |
2400m |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( 2^{9} \cdot 3 \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.378499$ |
$7301384/3$ |
$1.03749$ |
$4.07267$ |
$[0, 1, 0, -808, -9112]$ |
\(y^2=x^3+x^2-808x-9112\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 40.24.0-8.m.1.2, $\ldots$ |
$[]$ |
| 4704.e1 |
4704f2 |
4704.e |
4704f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{9} \cdot 3 \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2304$ |
$0.546735$ |
$7301384/3$ |
$1.03749$ |
$3.98731$ |
$[0, -1, 0, -1584, -23736]$ |
\(y^2=x^3-x^2-1584x-23736\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 56.24.0-8.m.1.2, $\ldots$ |
$[]$ |
| 4704.t1 |
4704bf3 |
4704.t |
4704bf |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( 2^{9} \cdot 3 \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.546735$ |
$7301384/3$ |
$1.03749$ |
$3.98731$ |
$[0, 1, 0, -1584, 23736]$ |
\(y^2=x^3+x^2-1584x+23736\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 56.24.0-8.m.1.1, $\ldots$ |
$[]$ |
| 4800.f1 |
4800h3 |
4800.f |
4800h |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{15} \cdot 3 \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$120$ |
$48$ |
$0$ |
$2.297508315$ |
$1$ |
|
$5$ |
$4096$ |
$0.725072$ |
$7301384/3$ |
$1.03749$ |
$4.23028$ |
$[0, -1, 0, -3233, -69663]$ |
\(y^2=x^3-x^2-3233x-69663\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.1, 24.24.0.bi.1, $\ldots$ |
$[(-32, 1)]$ |
| 4800.co1 |
4800x3 |
4800.co |
4800x |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( 2^{15} \cdot 3 \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.725072$ |
$7301384/3$ |
$1.03749$ |
$4.23028$ |
$[0, 1, 0, -3233, 69663]$ |
\(y^2=x^3+x^2-3233x+69663\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.2, 24.24.0.bi.1, $\ldots$ |
$[]$ |
| 7200.e1 |
7200bq3 |
7200.e |
7200bq |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{9} \cdot 3^{7} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$120$ |
$48$ |
$0$ |
$0.787317973$ |
$1$ |
|
$7$ |
$8192$ |
$0.927805$ |
$7301384/3$ |
$1.03749$ |
$4.31107$ |
$[0, 0, 0, -7275, 238750]$ |
\(y^2=x^3-7275x+238750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.2, 24.24.0.bi.1, $\ldots$ |
$[(5, 450)]$ |
| 7200.bx1 |
7200o2 |
7200.bx |
7200o |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{9} \cdot 3^{7} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8192$ |
$0.927805$ |
$7301384/3$ |
$1.03749$ |
$4.31107$ |
$[0, 0, 0, -7275, -238750]$ |
\(y^2=x^3-7275x-238750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.1, 24.24.0.bi.1, $\ldots$ |
$[]$ |
| 9408.bj1 |
9408k3 |
9408.bj |
9408k |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{15} \cdot 3 \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.893309$ |
$7301384/3$ |
$1.03749$ |
$4.13979$ |
$[0, -1, 0, -6337, 196225]$ |
\(y^2=x^3-x^2-6337x+196225\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 28.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 9408.ct1 |
9408bg3 |
9408.ct |
9408bg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{15} \cdot 3 \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$168$ |
$48$ |
$0$ |
$5.412946065$ |
$1$ |
|
$3$ |
$9216$ |
$0.893309$ |
$7301384/3$ |
$1.03749$ |
$4.13979$ |
$[0, 1, 0, -6337, -196225]$ |
\(y^2=x^3+x^2-6337x-196225\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 28.12.0-4.c.1.2, $\ldots$ |
$[(178, 2085)]$ |
| 11616.k1 |
11616e3 |
11616.k |
11616e |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 11^{2} \) |
\( 2^{9} \cdot 3 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10240$ |
$0.772727$ |
$7301384/3$ |
$1.03749$ |
$3.89196$ |
$[0, -1, 0, -3912, 95460]$ |
\(y^2=x^3-x^2-3912x+95460\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 88.24.0.?, $\ldots$ |
$[]$ |
| 11616.bd1 |
11616ba2 |
11616.bd |
11616ba |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 11^{2} \) |
\( 2^{9} \cdot 3 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$10240$ |
$0.772727$ |
$7301384/3$ |
$1.03749$ |
$3.89196$ |
$[0, 1, 0, -3912, -95460]$ |
\(y^2=x^3+x^2-3912x-95460\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 88.24.0.?, $\ldots$ |
$[]$ |
| 14112.bq1 |
14112ca3 |
14112.bq |
14112ca |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{7} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$1.096041$ |
$7301384/3$ |
$1.03749$ |
$4.21873$ |
$[0, 0, 0, -14259, 655130]$ |
\(y^2=x^3-14259x+655130\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 28.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 14112.by1 |
14112v2 |
14112.by |
14112v |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{9} \cdot 3^{7} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$168$ |
$48$ |
$0$ |
$6.626366821$ |
$1$ |
|
$1$ |
$18432$ |
$1.096041$ |
$7301384/3$ |
$1.03749$ |
$4.21873$ |
$[0, 0, 0, -14259, -655130]$ |
\(y^2=x^3-14259x-655130\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 28.12.0-4.c.1.2, $\ldots$ |
$[(-2495/6, 3095/6)]$ |
| 14400.f1 |
14400bt3 |
14400.f |
14400bt |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{15} \cdot 3^{7} \cdot 5^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$120$ |
$48$ |
$0$ |
$0.446641552$ |
$1$ |
|
$31$ |
$32768$ |
$1.274378$ |
$7301384/3$ |
$1.03749$ |
$4.43333$ |
$[0, 0, 0, -29100, 1910000]$ |
\(y^2=x^3-29100x+1910000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 40.24.0-8.m.1.5, $\ldots$ |
$[(94, 72), (110, 200)]$ |
| 14400.fc1 |
14400bq3 |
14400.fc |
14400bq |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{15} \cdot 3^{7} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$32768$ |
$1.274378$ |
$7301384/3$ |
$1.03749$ |
$4.43333$ |
$[0, 0, 0, -29100, -1910000]$ |
\(y^2=x^3-29100x-1910000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 40.24.0-8.m.1.7, $\ldots$ |
$[]$ |
| 16224.c1 |
16224e2 |
16224.c |
16224e |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{9} \cdot 3 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$312$ |
$48$ |
$0$ |
$4.760442629$ |
$1$ |
|
$1$ |
$18432$ |
$0.856255$ |
$7301384/3$ |
$1.03749$ |
$3.86122$ |
$[0, -1, 0, -5464, -153596]$ |
\(y^2=x^3-x^2-5464x-153596\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 104.24.0.?, $\ldots$ |
$[(-383/3, 190/3)]$ |
| 16224.p1 |
16224v3 |
16224.p |
16224v |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( 2^{9} \cdot 3 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$312$ |
$48$ |
$0$ |
$8.665915661$ |
$1$ |
|
$1$ |
$18432$ |
$0.856255$ |
$7301384/3$ |
$1.03749$ |
$3.86122$ |
$[0, 1, 0, -5464, 153596]$ |
\(y^2=x^3+x^2-5464x+153596\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 104.24.0.?, $\ldots$ |
$[(6463/7, 453090/7)]$ |
| 23232.q1 |
23232u4 |
23232.q |
23232u |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \) |
\( 2^{15} \cdot 3 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$40960$ |
$1.119301$ |
$7301384/3$ |
$1.03749$ |
$4.03730$ |
$[0, -1, 0, -15649, -748031]$ |
\(y^2=x^3-x^2-15649x-748031\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 44.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 23232.cg1 |
23232ch4 |
23232.cg |
23232ch |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \) |
\( 2^{15} \cdot 3 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$4.572900920$ |
$1$ |
|
$3$ |
$40960$ |
$1.119301$ |
$7301384/3$ |
$1.03749$ |
$4.03730$ |
$[0, 1, 0, -15649, 748031]$ |
\(y^2=x^3+x^2-15649x+748031\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 44.12.0-4.c.1.1, $\ldots$ |
$[(217, 2760)]$ |
| 27744.d1 |
27744f4 |
27744.d |
27744f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 17^{2} \) |
\( 2^{9} \cdot 3 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$408$ |
$48$ |
$0$ |
$6.719818801$ |
$1$ |
|
$3$ |
$36864$ |
$0.990386$ |
$7301384/3$ |
$1.03749$ |
$3.81605$ |
$[0, -1, 0, -9344, 350664]$ |
\(y^2=x^3-x^2-9344x+350664\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 136.24.0.?, $\ldots$ |
$[(841, 24220)]$ |
| 27744.q1 |
27744bb4 |
27744.q |
27744bb |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 17^{2} \) |
\( 2^{9} \cdot 3 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$408$ |
$48$ |
$0$ |
$10.15653912$ |
$1$ |
|
$1$ |
$36864$ |
$0.990386$ |
$7301384/3$ |
$1.03749$ |
$3.81605$ |
$[0, 1, 0, -9344, -350664]$ |
\(y^2=x^3+x^2-9344x-350664\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 136.24.0.?, $\ldots$ |
$[(-84761/39, 576620/39)]$ |
| 28224.bc1 |
28224cl4 |
28224.bc |
28224cl |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{7} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$168$ |
$48$ |
$0$ |
$3.039688290$ |
$1$ |
|
$5$ |
$73728$ |
$1.442614$ |
$7301384/3$ |
$1.03749$ |
$4.33921$ |
$[0, 0, 0, -57036, -5241040]$ |
\(y^2=x^3-57036x-5241040\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 56.24.0-8.m.1.7, $\ldots$ |
$[(-136, 20)]$ |
| 28224.bx1 |
28224ci4 |
28224.bx |
28224ci |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{7} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$168$ |
$48$ |
$0$ |
$3.018256793$ |
$1$ |
|
$5$ |
$73728$ |
$1.442614$ |
$7301384/3$ |
$1.03749$ |
$4.33921$ |
$[0, 0, 0, -57036, 5241040]$ |
\(y^2=x^3-57036x+5241040\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 56.24.0-8.m.1.8, $\ldots$ |
$[(149, 225)]$ |
| 32448.bl1 |
32448e4 |
32448.bl |
32448e |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13^{2} \) |
\( 2^{15} \cdot 3 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$312$ |
$48$ |
$0$ |
$7.165003232$ |
$1$ |
|
$3$ |
$73728$ |
$1.202827$ |
$7301384/3$ |
$1.03749$ |
$4.00394$ |
$[0, -1, 0, -21857, 1250625]$ |
\(y^2=x^3-x^2-21857x+1250625\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 52.12.0-4.c.1.2, $\ldots$ |
$[(1312, 47215)]$ |
| 32448.da1 |
32448bg4 |
32448.da |
32448bg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13^{2} \) |
\( 2^{15} \cdot 3 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$73728$ |
$1.202827$ |
$7301384/3$ |
$1.03749$ |
$4.00394$ |
$[0, 1, 0, -21857, -1250625]$ |
\(y^2=x^3+x^2-21857x-1250625\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 52.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 34656.i1 |
34656x4 |
34656.i |
34656x |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 19^{2} \) |
\( 2^{9} \cdot 3 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$456$ |
$48$ |
$0$ |
$10.41519785$ |
$1$ |
|
$1$ |
$55296$ |
$1.046000$ |
$7301384/3$ |
$1.03749$ |
$3.79869$ |
$[0, -1, 0, -11672, -481320]$ |
\(y^2=x^3-x^2-11672x-481320\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 152.24.0.?, $\ldots$ |
$[(-108107/42, 599005/42)]$ |
| 34656.be1 |
34656r4 |
34656.be |
34656r |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 19^{2} \) |
\( 2^{9} \cdot 3 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$456$ |
$48$ |
$0$ |
$4.187809134$ |
$1$ |
|
$1$ |
$55296$ |
$1.046000$ |
$7301384/3$ |
$1.03749$ |
$3.79869$ |
$[0, 1, 0, -11672, 481320]$ |
\(y^2=x^3+x^2-11672x+481320\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 152.24.0.?, $\ldots$ |
$[(5578/9, 68590/9)]$ |
| 34848.i1 |
34848cg4 |
34848.i |
34848cg |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{7} \cdot 11^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$5.115093875$ |
$1$ |
|
$13$ |
$81920$ |
$1.322033$ |
$7301384/3$ |
$1.03749$ |
$4.11339$ |
$[0, 0, 0, -35211, -2542210]$ |
\(y^2=x^3-35211x-2542210\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 44.12.0-4.c.1.2, $\ldots$ |
$[(-107, 18), (374, 6050)]$ |
| 34848.t1 |
34848ba4 |
34848.t |
34848ba |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{7} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$7.150674682$ |
$1$ |
|
$1$ |
$81920$ |
$1.322033$ |
$7301384/3$ |
$1.03749$ |
$4.11339$ |
$[0, 0, 0, -35211, 2542210]$ |
\(y^2=x^3-35211x+2542210\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 44.12.0-4.c.1.1, $\ldots$ |
$[(6686/7, 180900/7)]$ |
| 48672.bj1 |
48672bs4 |
48672.bj |
48672bs |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{7} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$312$ |
$48$ |
$0$ |
$1.768834138$ |
$1$ |
|
$5$ |
$147456$ |
$1.405560$ |
$7301384/3$ |
$1.03749$ |
$4.07893$ |
$[0, 0, 0, -49179, 4196270]$ |
\(y^2=x^3-49179x+4196270\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 52.12.0-4.c.1.2, $\ldots$ |
$[(133, 90)]$ |
| 48672.bu1 |
48672r4 |
48672.bu |
48672r |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$147456$ |
$1.405560$ |
$7301384/3$ |
$1.03749$ |
$4.07893$ |
$[0, 0, 0, -49179, -4196270]$ |
\(y^2=x^3-49179x-4196270\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 52.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 50784.b1 |
50784w4 |
50784.b |
50784w |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 23^{2} \) |
\( 2^{9} \cdot 3 \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$552$ |
$48$ |
$0$ |
$1.662168390$ |
$1$ |
|
$3$ |
$101376$ |
$1.141527$ |
$7301384/3$ |
$1.03749$ |
$3.77052$ |
$[0, -1, 0, -17104, 866404]$ |
\(y^2=x^3-x^2-17104x+866404\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 184.24.0.?, $\ldots$ |
$[(-15, 1058)]$ |
| 50784.p1 |
50784q4 |
50784.p |
50784q |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 23^{2} \) |
\( 2^{9} \cdot 3 \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$552$ |
$48$ |
$0$ |
$18.00298295$ |
$1$ |
|
$1$ |
$101376$ |
$1.141527$ |
$7301384/3$ |
$1.03749$ |
$3.77052$ |
$[0, 1, 0, -17104, -866404]$ |
\(y^2=x^3+x^2-17104x-866404\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 184.24.0.?, $\ldots$ |
$[(43824379/539, 14679174600/539)]$ |
| 55488.bs1 |
55488j4 |
55488.bs |
55488j |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 17^{2} \) |
\( 2^{15} \cdot 3 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$408$ |
$48$ |
$0$ |
$6.051136488$ |
$1$ |
|
$1$ |
$147456$ |
$1.336960$ |
$7301384/3$ |
$1.03749$ |
$3.95463$ |
$[0, -1, 0, -37377, -2767935]$ |
\(y^2=x^3-x^2-37377x-2767935\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 68.12.0-4.c.1.1, $\ldots$ |
$[(6773/2, 553435/2)]$ |
| 55488.ed1 |
55488bj4 |
55488.ed |
55488bj |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 17^{2} \) |
\( 2^{15} \cdot 3 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$408$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$147456$ |
$1.336960$ |
$7301384/3$ |
$1.03749$ |
$3.95463$ |
$[0, 1, 0, -37377, 2767935]$ |
\(y^2=x^3+x^2-37377x+2767935\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 68.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 69312.s1 |
69312u4 |
69312.s |
69312u |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{15} \cdot 3 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$221184$ |
$1.392572$ |
$7301384/3$ |
$1.03749$ |
$3.93558$ |
$[0, -1, 0, -46689, 3897249]$ |
\(y^2=x^3-x^2-46689x+3897249\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 76.12.0.?, $\ldots$ |
$[]$ |
| 69312.ce1 |
69312bv4 |
69312.ce |
69312bv |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( 2^{15} \cdot 3 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$456$ |
$48$ |
$0$ |
$5.139293267$ |
$1$ |
|
$1$ |
$221184$ |
$1.392572$ |
$7301384/3$ |
$1.03749$ |
$3.93558$ |
$[0, 1, 0, -46689, -3897249]$ |
\(y^2=x^3+x^2-46689x-3897249\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 76.12.0.?, $\ldots$ |
$[(2741/2, 135375/2)]$ |
| 69696.ff1 |
69696co4 |
69696.ff |
69696co |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{15} \cdot 3^{7} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$5.612342606$ |
$1$ |
|
$1$ |
$327680$ |
$1.668608$ |
$7301384/3$ |
$1.03749$ |
$4.23065$ |
$[0, 0, 0, -140844, -20337680]$ |
\(y^2=x^3-140844x-20337680\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 88.24.0.?, $\ldots$ |
$[(2145/2, 61105/2)]$ |
| 69696.gf1 |
69696cl4 |
69696.gf |
69696cl |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{15} \cdot 3^{7} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$1.838502877$ |
$1$ |
|
$5$ |
$327680$ |
$1.668608$ |
$7301384/3$ |
$1.03749$ |
$4.23065$ |
$[0, 0, 0, -140844, 20337680]$ |
\(y^2=x^3-140844x+20337680\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 88.24.0.?, $\ldots$ |
$[(202, 360)]$ |
| 80736.d1 |
80736j4 |
80736.d |
80736j |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 29^{2} \) |
\( 2^{9} \cdot 3 \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$696$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$200704$ |
$1.257427$ |
$7301384/3$ |
$1.03749$ |
$3.73891$ |
$[0, -1, 0, -27192, 1734360]$ |
\(y^2=x^3-x^2-27192x+1734360\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 232.24.0.?, $\ldots$ |
$[]$ |
| 80736.n1 |
80736c4 |
80736.n |
80736c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 29^{2} \) |
\( 2^{9} \cdot 3 \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$696$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$200704$ |
$1.257427$ |
$7301384/3$ |
$1.03749$ |
$3.73891$ |
$[0, 1, 0, -27192, -1734360]$ |
\(y^2=x^3+x^2-27192x-1734360\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 232.24.0.?, $\ldots$ |
$[]$ |
