| 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.a4 |
96b4 |
96.a |
96b |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \) |
\( - 2^{9} \cdot 3^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.59 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8$ |
$-0.426220$ |
$97336/81$ |
$1.05989$ |
$3.88319$ |
$[0, -1, 0, 8, -8]$ |
\(y^2=x^3-x^2+8x-8\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.d.1.1, 24.48.0-24.n.1.7 |
$[]$ |
| 96.b4 |
96a4 |
96.b |
96a |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \) |
\( - 2^{9} \cdot 3^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.48 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$8$ |
$-0.426220$ |
$97336/81$ |
$1.05989$ |
$3.88319$ |
$[0, 1, 0, 8, 8]$ |
\(y^2=x^3+x^2+8x+8\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.d.1.2, 24.48.0-24.n.1.5 |
$[]$ |
| 192.a4 |
192a4 |
192.a |
192a |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \) |
\( - 2^{15} \cdot 3^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.59 |
2B |
$24$ |
$48$ |
$0$ |
$0.337900933$ |
$1$ |
|
$11$ |
$32$ |
$-0.079647$ |
$97336/81$ |
$1.05989$ |
$4.16227$ |
$[0, -1, 0, 31, 33]$ |
\(y^2=x^3-x^2+31x+33\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.d.1.1, 24.48.0-24.n.1.2 |
$[(1, 8)]$ |
| 192.c4 |
192b4 |
192.c |
192b |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \) |
\( - 2^{15} \cdot 3^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.48 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$32$ |
$-0.079647$ |
$97336/81$ |
$1.05989$ |
$4.16227$ |
$[0, 1, 0, 31, -33]$ |
\(y^2=x^3+x^2+31x-33\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.d.1.2, 24.48.0-24.n.1.4 |
$[]$ |
| 288.b4 |
288b4 |
288.b |
288b |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \) |
\( - 2^{9} \cdot 3^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.106 |
2B |
$24$ |
$48$ |
$0$ |
$0.620169672$ |
$1$ |
|
$9$ |
$64$ |
$0.123086$ |
$97336/81$ |
$1.05989$ |
$4.29385$ |
$[0, 0, 0, 69, -146]$ |
\(y^2=x^3+69x-146\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.3, 12.12.0-4.c.1.2, 24.48.0-24.n.1.6 |
$[(5, 18)]$ |
| 288.c4 |
288c4 |
288.c |
288c |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \) |
\( - 2^{9} \cdot 3^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.106 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$64$ |
$0.123086$ |
$97336/81$ |
$1.05989$ |
$4.29385$ |
$[0, 0, 0, 69, 146]$ |
\(y^2=x^3+69x+146\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.3, 12.12.0-4.c.1.1, 24.48.0-24.n.1.8 |
$[]$ |
| 576.g4 |
576c4 |
576.g |
576c |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{15} \cdot 3^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.118 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$256$ |
$0.469659$ |
$97336/81$ |
$1.05989$ |
$4.47991$ |
$[0, 0, 0, 276, -1168]$ |
\(y^2=x^3+276x-1168\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.4, 12.12.0-4.c.1.1, 24.48.0-24.n.1.1 |
$[]$ |
| 576.h4 |
576b4 |
576.h |
576b |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \) |
\( - 2^{15} \cdot 3^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.118 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$256$ |
$0.469659$ |
$97336/81$ |
$1.05989$ |
$4.47991$ |
$[0, 0, 0, 276, 1168]$ |
\(y^2=x^3+276x+1168\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.4, 12.12.0-4.c.1.2, 24.48.0-24.n.1.3 |
$[]$ |
| 2400.q4 |
2400u4 |
2400.q |
2400u |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.378499$ |
$97336/81$ |
$1.05989$ |
$3.51794$ |
$[0, -1, 0, 192, 612]$ |
\(y^2=x^3-x^2+192x+612\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.2, 24.24.0.n.1, $\ldots$ |
$[]$ |
| 2400.r4 |
2400m4 |
2400.r |
2400m |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.378499$ |
$97336/81$ |
$1.05989$ |
$3.51794$ |
$[0, 1, 0, 192, -612]$ |
\(y^2=x^3+x^2+192x-612\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.1, 24.24.0.n.1, $\ldots$ |
$[]$ |
| 4704.e4 |
4704f4 |
4704.e |
4704f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.546735$ |
$97336/81$ |
$1.05989$ |
$3.47672$ |
$[0, -1, 0, 376, -1980]$ |
\(y^2=x^3-x^2+376x-1980\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 28.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 4704.t4 |
4704bf4 |
4704.t |
4704bf |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.546735$ |
$97336/81$ |
$1.05989$ |
$3.47672$ |
$[0, 1, 0, 376, 1980]$ |
\(y^2=x^3+x^2+376x+1980\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 28.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 4800.f4 |
4800h4 |
4800.f |
4800h |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{4} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$120$ |
$48$ |
$0$ |
$2.297508315$ |
$1$ |
|
$5$ |
$4096$ |
$0.725072$ |
$97336/81$ |
$1.05989$ |
$3.72090$ |
$[0, -1, 0, 767, -5663]$ |
\(y^2=x^3-x^2+767x-5663\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.2, 24.24.0.n.1, $\ldots$ |
$[(32, 225)]$ |
| 4800.co4 |
4800x4 |
4800.co |
4800x |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{4} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.725072$ |
$97336/81$ |
$1.05989$ |
$3.72090$ |
$[0, 1, 0, 767, 5663]$ |
\(y^2=x^3+x^2+767x+5663\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.1, 24.24.0.n.1, $\ldots$ |
$[]$ |
| 7200.e4 |
7200bq4 |
7200.e |
7200bq |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{9} \cdot 3^{10} \cdot 5^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$120$ |
$48$ |
$0$ |
$3.149271893$ |
$1$ |
|
$3$ |
$8192$ |
$0.927805$ |
$97336/81$ |
$1.05989$ |
$3.82495$ |
$[0, 0, 0, 1725, 18250]$ |
\(y^2=x^3+1725x+18250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 40.24.0-8.d.1.3, $\ldots$ |
$[(90, 950)]$ |
| 7200.bx4 |
7200o4 |
7200.bx |
7200o |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{9} \cdot 3^{10} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8192$ |
$0.927805$ |
$97336/81$ |
$1.05989$ |
$3.82495$ |
$[0, 0, 0, 1725, -18250]$ |
\(y^2=x^3+1725x-18250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 40.24.0-8.d.1.3, $\ldots$ |
$[]$ |
| 9408.bj4 |
9408k4 |
9408.bj |
9408k |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{4} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.893309$ |
$97336/81$ |
$1.05989$ |
$3.66788$ |
$[0, -1, 0, 1503, 14337]$ |
\(y^2=x^3-x^2+1503x+14337\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 28.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 9408.ct4 |
9408bg4 |
9408.ct |
9408bg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{4} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$168$ |
$48$ |
$0$ |
$1.353236516$ |
$1$ |
|
$5$ |
$9216$ |
$0.893309$ |
$97336/81$ |
$1.05989$ |
$3.66788$ |
$[0, 1, 0, 1503, -14337]$ |
\(y^2=x^3+x^2+1503x-14337\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 28.12.0-4.c.1.1, $\ldots$ |
$[(27, 216)]$ |
| 11616.k4 |
11616e4 |
11616.k |
11616e |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10240$ |
$0.772727$ |
$97336/81$ |
$1.05989$ |
$3.43068$ |
$[0, -1, 0, 928, 6888]$ |
\(y^2=x^3-x^2+928x+6888\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 44.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 11616.bd4 |
11616ba4 |
11616.bd |
11616ba |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10240$ |
$0.772727$ |
$97336/81$ |
$1.05989$ |
$3.43068$ |
$[0, 1, 0, 928, -6888]$ |
\(y^2=x^3+x^2+928x-6888\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 44.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 14112.bq4 |
14112ca4 |
14112.bq |
14112ca |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{10} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$1.096041$ |
$97336/81$ |
$1.05989$ |
$3.76685$ |
$[0, 0, 0, 3381, 50078]$ |
\(y^2=x^3+3381x+50078\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 56.24.0-8.d.1.3, $\ldots$ |
$[]$ |
| 14112.by4 |
14112v4 |
14112.by |
14112v |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{9} \cdot 3^{10} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$168$ |
$48$ |
$0$ |
$6.626366821$ |
$1$ |
|
$1$ |
$18432$ |
$1.096041$ |
$97336/81$ |
$1.05989$ |
$3.76685$ |
$[0, 0, 0, 3381, -50078]$ |
\(y^2=x^3+3381x-50078\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 56.24.0-8.d.1.3, $\ldots$ |
$[(5026/3, 358190/3)]$ |
| 14400.f4 |
14400bt4 |
14400.f |
14400bt |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{10} \cdot 5^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$120$ |
$48$ |
$0$ |
$1.786566211$ |
$1$ |
|
$21$ |
$32768$ |
$1.274378$ |
$97336/81$ |
$1.05989$ |
$3.98240$ |
$[0, 0, 0, 6900, 146000]$ |
\(y^2=x^3+6900x+146000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 40.24.0-8.d.1.4, $\ldots$ |
$[(34, 648), (-14, 216)]$ |
| 14400.fc4 |
14400bq4 |
14400.fc |
14400bq |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{10} \cdot 5^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$32768$ |
$1.274378$ |
$97336/81$ |
$1.05989$ |
$3.98240$ |
$[0, 0, 0, 6900, -146000]$ |
\(y^2=x^3+6900x-146000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 40.24.0-8.d.1.4, $\ldots$ |
$[]$ |
| 16224.c4 |
16224e4 |
16224.c |
16224e |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$312$ |
$48$ |
$0$ |
$4.760442629$ |
$1$ |
|
$3$ |
$18432$ |
$0.856255$ |
$97336/81$ |
$1.05989$ |
$3.41583$ |
$[0, -1, 0, 1296, -12312]$ |
\(y^2=x^3-x^2+1296x-12312\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(333, 6102)]$ |
| 16224.p4 |
16224v4 |
16224.p |
16224v |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$312$ |
$48$ |
$0$ |
$2.166478915$ |
$1$ |
|
$5$ |
$18432$ |
$0.856255$ |
$97336/81$ |
$1.05989$ |
$3.41583$ |
$[0, 1, 0, 1296, 12312]$ |
\(y^2=x^3+x^2+1296x+12312\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 52.12.0-4.c.1.2, $\ldots$ |
$[(-6, 66)]$ |
| 23232.q4 |
23232u3 |
23232.q |
23232u |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \) |
\( - 2^{15} \cdot 3^{4} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$40960$ |
$1.119301$ |
$97336/81$ |
$1.05989$ |
$3.60783$ |
$[0, -1, 0, 3711, -58815]$ |
\(y^2=x^3-x^2+3711x-58815\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 44.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 23232.cg4 |
23232ch3 |
23232.cg |
23232ch |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \) |
\( - 2^{15} \cdot 3^{4} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$1.143225230$ |
$1$ |
|
$5$ |
$40960$ |
$1.119301$ |
$97336/81$ |
$1.05989$ |
$3.60783$ |
$[0, 1, 0, 3711, 58815]$ |
\(y^2=x^3+x^2+3711x+58815\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 44.12.0-4.c.1.2, $\ldots$ |
$[(18, 363)]$ |
| 27744.d4 |
27744f2 |
27744.d |
27744f |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 17^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$408$ |
$48$ |
$0$ |
$1.679954700$ |
$1$ |
|
$3$ |
$36864$ |
$0.990386$ |
$97336/81$ |
$1.05989$ |
$3.39403$ |
$[0, -1, 0, 2216, 25828]$ |
\(y^2=x^3-x^2+2216x+25828\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 68.12.0-4.c.1.2, $\ldots$ |
$[(57, 578)]$ |
| 27744.q4 |
27744bb2 |
27744.q |
27744bb |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 17^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$408$ |
$48$ |
$0$ |
$2.539134781$ |
$1$ |
|
$3$ |
$36864$ |
$0.990386$ |
$97336/81$ |
$1.05989$ |
$3.39403$ |
$[0, 1, 0, 2216, -25828]$ |
\(y^2=x^3+x^2+2216x-25828\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 68.12.0-4.c.1.1, $\ldots$ |
$[(623, 15606)]$ |
| 28224.bc4 |
28224cl3 |
28224.bc |
28224cl |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{10} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$168$ |
$48$ |
$0$ |
$3.039688290$ |
$1$ |
|
$5$ |
$73728$ |
$1.442614$ |
$97336/81$ |
$1.05989$ |
$3.91789$ |
$[0, 0, 0, 13524, -400624]$ |
\(y^2=x^3+13524x-400624\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 56.24.0-8.d.1.4, $\ldots$ |
$[(109, 1539)]$ |
| 28224.bx4 |
28224ci3 |
28224.bx |
28224ci |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{10} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$168$ |
$48$ |
$0$ |
$3.018256793$ |
$1$ |
|
$5$ |
$73728$ |
$1.442614$ |
$97336/81$ |
$1.05989$ |
$3.91789$ |
$[0, 0, 0, 13524, 400624]$ |
\(y^2=x^3+13524x+400624\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 56.24.0-8.d.1.4, $\ldots$ |
$[(21, 833)]$ |
| 32448.bl4 |
32448e3 |
32448.bl |
32448e |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$312$ |
$48$ |
$0$ |
$7.165003232$ |
$1$ |
|
$1$ |
$73728$ |
$1.202827$ |
$97336/81$ |
$1.05989$ |
$3.58828$ |
$[0, -1, 0, 5183, 93313]$ |
\(y^2=x^3-x^2+5183x+93313\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(-608/7, 56295/7)]$ |
| 32448.da4 |
32448bg3 |
32448.da |
32448bg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.202827$ |
$97336/81$ |
$1.05989$ |
$3.58828$ |
$[0, 1, 0, 5183, -93313]$ |
\(y^2=x^3+x^2+5183x-93313\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 52.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 34656.i4 |
34656x2 |
34656.i |
34656x |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 19^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$456$ |
$48$ |
$0$ |
$2.603799463$ |
$1$ |
|
$3$ |
$55296$ |
$1.046000$ |
$97336/81$ |
$1.05989$ |
$3.38564$ |
$[0, -1, 0, 2768, -38012]$ |
\(y^2=x^3-x^2+2768x-38012\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 76.12.0.?, $\ldots$ |
$[(488, 10830)]$ |
| 34656.be4 |
34656r2 |
34656.be |
34656r |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 19^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$456$ |
$48$ |
$0$ |
$4.187809134$ |
$1$ |
|
$1$ |
$55296$ |
$1.046000$ |
$97336/81$ |
$1.05989$ |
$3.38564$ |
$[0, 1, 0, 2768, 38012]$ |
\(y^2=x^3+x^2+2768x+38012\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 76.12.0.?, $\ldots$ |
$[(2741/2, 144039/2)]$ |
| 34848.i4 |
34848cg2 |
34848.i |
34848cg |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{10} \cdot 11^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$5.115093875$ |
$1$ |
|
$7$ |
$81920$ |
$1.322033$ |
$97336/81$ |
$1.05989$ |
$3.70057$ |
$[0, 0, 0, 8349, -194326]$ |
\(y^2=x^3+8349x-194326\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 88.24.0.?, $\ldots$ |
$[(154, 2178), (550, 13068)]$ |
| 34848.t4 |
34848ba2 |
34848.t |
34848ba |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{9} \cdot 3^{10} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$1.787668670$ |
$1$ |
|
$5$ |
$81920$ |
$1.322033$ |
$97336/81$ |
$1.05989$ |
$3.70057$ |
$[0, 0, 0, 8349, 194326]$ |
\(y^2=x^3+8349x+194326\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 88.24.0.?, $\ldots$ |
$[(5, 486)]$ |
| 48672.bj4 |
48672bs2 |
48672.bj |
48672bs |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{10} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$312$ |
$48$ |
$0$ |
$7.075336554$ |
$1$ |
|
$1$ |
$147456$ |
$1.405560$ |
$97336/81$ |
$1.05989$ |
$3.67888$ |
$[0, 0, 0, 11661, 320762]$ |
\(y^2=x^3+11661x+320762\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 104.24.0.?, $\ldots$ |
$[(6826/7, 739530/7)]$ |
| 48672.bu4 |
48672r2 |
48672.bu |
48672r |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{10} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$147456$ |
$1.405560$ |
$97336/81$ |
$1.05989$ |
$3.67888$ |
$[0, 0, 0, 11661, -320762]$ |
\(y^2=x^3+11661x-320762\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 104.24.0.?, $\ldots$ |
$[]$ |
| 50784.b4 |
50784w2 |
50784.b |
50784w |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 23^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$552$ |
$48$ |
$0$ |
$6.648673561$ |
$1$ |
|
$1$ |
$101376$ |
$1.141527$ |
$97336/81$ |
$1.05989$ |
$3.37204$ |
$[0, -1, 0, 4056, 64440]$ |
\(y^2=x^3-x^2+4056x+64440\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 92.12.0.?, $\ldots$ |
$[(921/5, 64044/5)]$ |
| 50784.p4 |
50784q2 |
50784.p |
50784q |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 23^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$552$ |
$48$ |
$0$ |
$4.500745738$ |
$1$ |
|
$3$ |
$101376$ |
$1.141527$ |
$97336/81$ |
$1.05989$ |
$3.37204$ |
$[0, 1, 0, 4056, -64440]$ |
\(y^2=x^3+x^2+4056x-64440\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 92.12.0.?, $\ldots$ |
$[(378, 7458)]$ |
| 55488.bs4 |
55488j3 |
55488.bs |
55488j |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 17^{2} \) |
\( - 2^{15} \cdot 3^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$408$ |
$48$ |
$0$ |
$1.512784122$ |
$1$ |
|
$5$ |
$147456$ |
$1.336960$ |
$97336/81$ |
$1.05989$ |
$3.55938$ |
$[0, -1, 0, 8863, -215487]$ |
\(y^2=x^3-x^2+8863x-215487\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 68.12.0-4.c.1.2, $\ldots$ |
$[(91, 1156)]$ |
| 55488.ed4 |
55488bj3 |
55488.ed |
55488bj |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 17^{2} \) |
\( - 2^{15} \cdot 3^{4} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$408$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.336960$ |
$97336/81$ |
$1.05989$ |
$3.55938$ |
$[0, 1, 0, 8863, 215487]$ |
\(y^2=x^3+x^2+8863x+215487\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 68.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 69312.s4 |
69312u3 |
69312.s |
69312u |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( - 2^{15} \cdot 3^{4} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$221184$ |
$1.392572$ |
$97336/81$ |
$1.05989$ |
$3.54822$ |
$[0, -1, 0, 11071, 293025]$ |
\(y^2=x^3-x^2+11071x+293025\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 76.12.0.?, $\ldots$ |
$[]$ |
| 69312.ce4 |
69312bv3 |
69312.ce |
69312bv |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19^{2} \) |
\( - 2^{15} \cdot 3^{4} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$456$ |
$48$ |
$0$ |
$1.284823316$ |
$1$ |
|
$5$ |
$221184$ |
$1.392572$ |
$97336/81$ |
$1.05989$ |
$3.54822$ |
$[0, 1, 0, 11071, -293025]$ |
\(y^2=x^3+x^2+11071x-293025\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 76.12.0.?, $\ldots$ |
$[(82, 1083)]$ |
| 69696.ff4 |
69696co3 |
69696.ff |
69696co |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{15} \cdot 3^{10} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$1.403085651$ |
$1$ |
|
$7$ |
$327680$ |
$1.668608$ |
$97336/81$ |
$1.05989$ |
$3.84349$ |
$[0, 0, 0, 33396, -1554608]$ |
\(y^2=x^3+33396x-1554608\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 88.24.0.?, $\ldots$ |
$[(66, 968)]$ |
| 69696.gf4 |
69696cl3 |
69696.gf |
69696cl |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11^{2} \) |
\( - 2^{15} \cdot 3^{10} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$1.838502877$ |
$1$ |
|
$5$ |
$327680$ |
$1.668608$ |
$97336/81$ |
$1.05989$ |
$3.84349$ |
$[0, 0, 0, 33396, 1554608]$ |
\(y^2=x^3+33396x+1554608\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 88.24.0.?, $\ldots$ |
$[(-11, 1089)]$ |
| 80736.d4 |
80736j2 |
80736.d |
80736j |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 29^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$696$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$200704$ |
$1.257427$ |
$97336/81$ |
$1.05989$ |
$3.35678$ |
$[0, -1, 0, 6448, 129732]$ |
\(y^2=x^3-x^2+6448x+129732\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 116.12.0.?, $\ldots$ |
$[]$ |
| 80736.n4 |
80736c2 |
80736.n |
80736c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 29^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$696$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$200704$ |
$1.257427$ |
$97336/81$ |
$1.05989$ |
$3.35678$ |
$[0, 1, 0, 6448, -129732]$ |
\(y^2=x^3+x^2+6448x-129732\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 116.12.0.?, $\ldots$ |
$[]$ |
