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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
21.a6 |
21a4 |
21.a |
21a |
$6$ |
$8$ |
\( 3 \cdot 7 \) |
\( - 3^{2} \cdot 7 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.48.0.27 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$2$ |
$-0.965515$ |
$103823/63$ |
$[1, 0, 0, 1, 0]$ |
\(y^2+xy=x^3+x\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 14.6.0.b.1, 16.48.0-16.e.1.2, $\ldots$ |
63.a6 |
63a1 |
63.a |
63a |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \) |
\( - 3^{8} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.84 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4$ |
$-0.416209$ |
$103823/63$ |
$[1, -1, 0, 9, 0]$ |
\(y^2+xy=x^3-x^2+9x\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 12.12.0-4.c.1.2, 14.6.0.b.1, $\ldots$ |
147.a6 |
147a1 |
147.a |
147a |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \) |
\( - 3^{2} \cdot 7^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.33 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$24$ |
$0.007440$ |
$103823/63$ |
$[1, 1, 1, 48, 48]$ |
\(y^2+xy+y=x^3+x^2+48x+48\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.12, 14.6.0.b.1, 16.48.0-16.e.1.15, $\ldots$ |
336.a6 |
336e1 |
336.a |
336e |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \) |
\( - 2^{12} \cdot 3^{2} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.43 |
2B |
$336$ |
$192$ |
$1$ |
$0.373149604$ |
$1$ |
|
$11$ |
$32$ |
$-0.272368$ |
$103823/63$ |
$[0, -1, 0, 16, 0]$ |
\(y^2=x^3-x^2+16x\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 14.6.0.b.1, 16.48.0-16.e.1.6, $\ldots$ |
441.f6 |
441c1 |
441.f |
441c |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \) |
\( - 3^{8} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.85 |
2B |
$336$ |
$192$ |
$1$ |
$1.319254411$ |
$1$ |
|
$5$ |
$192$ |
$0.556746$ |
$103823/63$ |
$[1, -1, 0, 432, -869]$ |
\(y^2+xy=x^3-x^2+432x-869\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 12.12.0-4.c.1.2, 14.6.0.b.1, $\ldots$ |
525.d6 |
525b1 |
525.d |
525b |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \) |
\( - 3^{2} \cdot 5^{6} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$64$ |
$-0.160796$ |
$103823/63$ |
$[1, 1, 0, 25, 0]$ |
\(y^2+xy=x^3+x^2+25x\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
1008.l6 |
1008k1 |
1008.l |
1008k |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \) |
\( - 2^{12} \cdot 3^{8} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.156 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$256$ |
$0.276938$ |
$103823/63$ |
$[0, 0, 0, 141, -142]$ |
\(y^2=x^3+141x-142\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 12.12.0-4.c.1.1, 14.6.0.b.1, $\ldots$ |
1344.g6 |
1344a1 |
1344.g |
1344a |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \) |
\( - 2^{18} \cdot 3^{2} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.192 |
2B |
$336$ |
$192$ |
$1$ |
$0.975480281$ |
$1$ |
|
$5$ |
$256$ |
$0.074205$ |
$103823/63$ |
$[0, -1, 0, 63, -63]$ |
\(y^2=x^3-x^2+63x-63\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 14.6.0.b.1, 16.48.0-16.e.1.14, $\ldots$ |
1344.s6 |
1344r1 |
1344.s |
1344r |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \) |
\( - 2^{18} \cdot 3^{2} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.180 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$256$ |
$0.074205$ |
$103823/63$ |
$[0, 1, 0, 63, 63]$ |
\(y^2=x^3+x^2+63x+63\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 14.6.0.b.1, 16.48.0-16.e.1.10, $\ldots$ |
1575.c6 |
1575g1 |
1575.c |
1575g |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 3^{8} \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$1680$ |
$192$ |
$1$ |
$1.890299589$ |
$1$ |
|
$5$ |
$512$ |
$0.388510$ |
$103823/63$ |
$[1, -1, 1, 220, 222]$ |
\(y^2+xy+y=x^3-x^2+220x+222\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
2352.v6 |
2352v1 |
2352.v |
2352v |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.49 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.700587$ |
$103823/63$ |
$[0, 1, 0, 768, -1548]$ |
\(y^2=x^3+x^2+768x-1548\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.10, 14.6.0.b.1, 16.48.0-16.e.1.11, $\ldots$ |
2541.j6 |
2541l1 |
2541.j |
2541l |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 11^{2} \) |
\( - 3^{2} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$640$ |
$0.233432$ |
$103823/63$ |
$[1, 0, 1, 118, 119]$ |
\(y^2+xy+y=x^3+118x+119\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
3549.c6 |
3549c1 |
3549.c |
3549c |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 13^{2} \) |
\( - 3^{2} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$4368$ |
$192$ |
$1$ |
$5.342911058$ |
$1$ |
|
$1$ |
$1152$ |
$0.316959$ |
$103823/63$ |
$[1, 0, 1, 165, -167]$ |
\(y^2+xy+y=x^3+165x-167\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
3675.n6 |
3675j1 |
3675.n |
3675j |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{2} \cdot 5^{6} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$1680$ |
$192$ |
$1$ |
$3.862964642$ |
$1$ |
|
$3$ |
$3072$ |
$0.812159$ |
$103823/63$ |
$[1, 0, 1, 1199, 3623]$ |
\(y^2+xy+y=x^3+1199x+3623\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
4032.h6 |
4032h1 |
4032.h |
4032h |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \) |
\( - 2^{18} \cdot 3^{8} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.168 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2048$ |
$0.623511$ |
$103823/63$ |
$[0, 0, 0, 564, 1136]$ |
\(y^2=x^3+564x+1136\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 14.6.0.b.1, 16.48.0-16.e.1.13, $\ldots$ |
4032.k6 |
4032bm1 |
4032.k |
4032bm |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \) |
\( - 2^{18} \cdot 3^{8} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.108 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2048$ |
$0.623511$ |
$103823/63$ |
$[0, 0, 0, 564, -1136]$ |
\(y^2=x^3+564x-1136\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 14.6.0.b.1, 16.48.0-16.e.1.9, $\ldots$ |
6069.b6 |
6069b1 |
6069.b |
6069b |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 17^{2} \) |
\( - 3^{2} \cdot 7 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$5712$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.451091$ |
$103823/63$ |
$[1, 1, 1, 283, -286]$ |
\(y^2+xy+y=x^3+x^2+283x-286\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
7056.p6 |
7056bx1 |
7056.p |
7056bx |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{8} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.157 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$1.249893$ |
$103823/63$ |
$[0, 0, 0, 6909, 48706]$ |
\(y^2=x^3+6909x+48706\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 12.12.0-4.c.1.1, 14.6.0.b.1, $\ldots$ |
7581.d6 |
7581b1 |
7581.d |
7581b |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 19^{2} \) |
\( - 3^{2} \cdot 7 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$6384$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$3456$ |
$0.506704$ |
$103823/63$ |
$[1, 1, 0, 354, 711]$ |
\(y^2+xy=x^3+x^2+354x+711\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
7623.g6 |
7623p1 |
7623.g |
7623p |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \) |
\( - 3^{8} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$5120$ |
$0.782739$ |
$103823/63$ |
$[1, -1, 1, 1066, -3220]$ |
\(y^2+xy+y=x^3-x^2+1066x-3220\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
8400.bn6 |
8400cd1 |
8400.bn |
8400cd |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$1680$ |
$192$ |
$1$ |
$1.444790239$ |
$1$ |
|
$5$ |
$4096$ |
$0.532351$ |
$103823/63$ |
$[0, 1, 0, 392, 788]$ |
\(y^2=x^3+x^2+392x+788\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
9408.m6 |
9408cd1 |
9408.m |
9408cd |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{18} \cdot 3^{2} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.186 |
2B |
$336$ |
$192$ |
$1$ |
$1.717899296$ |
$1$ |
|
$5$ |
$12288$ |
$1.047161$ |
$103823/63$ |
$[0, -1, 0, 3071, -15455]$ |
\(y^2=x^3-x^2+3071x-15455\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.8, 14.6.0.b.1, 16.48.0-16.e.1.7, $\ldots$ |
9408.bv6 |
9408bj1 |
9408.bv |
9408bj |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( - 2^{18} \cdot 3^{2} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.198 |
2B |
$336$ |
$192$ |
$1$ |
$1.094126633$ |
$1$ |
|
$5$ |
$12288$ |
$1.047161$ |
$103823/63$ |
$[0, 1, 0, 3071, 15455]$ |
\(y^2=x^3+x^2+3071x+15455\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.4, 14.6.0.b.1, 16.48.0-16.e.1.3, $\ldots$ |
10647.d6 |
10647f1 |
10647.d |
10647f |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{8} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$4368$ |
$192$ |
$1$ |
$4.388966748$ |
$1$ |
|
$3$ |
$9216$ |
$0.866265$ |
$103823/63$ |
$[1, -1, 1, 1489, 4502]$ |
\(y^2+xy+y=x^3-x^2+1489x+4502\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
11025.g6 |
11025ba1 |
11025.g |
11025ba |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{8} \cdot 5^{6} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$1680$ |
$192$ |
$1$ |
$3.601697966$ |
$1$ |
|
$5$ |
$24576$ |
$1.361465$ |
$103823/63$ |
$[1, -1, 1, 10795, -97828]$ |
\(y^2+xy+y=x^3-x^2+10795x-97828\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
11109.d6 |
11109i1 |
11109.d |
11109i |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 23^{2} \) |
\( - 3^{2} \cdot 7 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$7728$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$6336$ |
$0.602232$ |
$103823/63$ |
$[1, 0, 0, 518, 1043]$ |
\(y^2+xy=x^3+518x+1043\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
17661.f6 |
17661a1 |
17661.f |
17661a |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 29^{2} \) |
\( - 3^{2} \cdot 7 \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$9744$ |
$192$ |
$1$ |
$2.256928575$ |
$1$ |
|
$3$ |
$12544$ |
$0.718133$ |
$103823/63$ |
$[1, 1, 0, 824, -1661]$ |
\(y^2+xy=x^3+x^2+824x-1661\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
17787.s6 |
17787h1 |
17787.s |
17787h |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{2} \cdot 7^{7} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$3696$ |
$192$ |
$1$ |
$3.277722588$ |
$1$ |
|
$1$ |
$30720$ |
$1.206387$ |
$103823/63$ |
$[1, 1, 0, 5806, -35097]$ |
\(y^2+xy=x^3+x^2+5806x-35097\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
18207.e6 |
18207e1 |
18207.e |
18207e |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 3^{8} \cdot 7 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$5712$ |
$192$ |
$1$ |
$9.958186213$ |
$1$ |
|
$1$ |
$18432$ |
$1.000397$ |
$103823/63$ |
$[1, -1, 0, 2547, 10264]$ |
\(y^2+xy=x^3-x^2+2547x+10264\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
20181.e6 |
20181d1 |
20181.e |
20181d |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 31^{2} \) |
\( - 3^{2} \cdot 7 \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$10416$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$15360$ |
$0.751478$ |
$103823/63$ |
$[1, 1, 1, 941, 2840]$ |
\(y^2+xy+y=x^3+x^2+941x+2840\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
22743.f6 |
22743n1 |
22743.f |
22743n |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 19^{2} \) |
\( - 3^{8} \cdot 7 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$6384$ |
$192$ |
$1$ |
$7.388416230$ |
$1$ |
|
$1$ |
$27648$ |
$1.056011$ |
$103823/63$ |
$[1, -1, 1, 3181, -16014]$ |
\(y^2+xy+y=x^3-x^2+3181x-16014\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
24843.p6 |
24843d1 |
24843.p |
24843d |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{2} \cdot 7^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$4368$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$1.289915$ |
$103823/63$ |
$[1, 1, 0, 8109, 65304]$ |
\(y^2+xy=x^3+x^2+8109x+65304\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
25200.cr6 |
25200dx1 |
25200.cr |
25200dx |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( - 2^{12} \cdot 3^{8} \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$1680$ |
$192$ |
$1$ |
$2.856034248$ |
$1$ |
|
$5$ |
$32768$ |
$1.081657$ |
$103823/63$ |
$[0, 0, 0, 3525, -17750]$ |
\(y^2=x^3+3525x-17750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
28224.es6 |
28224fw1 |
28224.es |
28224fw |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{18} \cdot 3^{8} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.109 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.596466$ |
$103823/63$ |
$[0, 0, 0, 27636, 389648]$ |
\(y^2=x^3+27636x+389648\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 14.6.0.b.1, 16.48.0-16.e.1.8, $\ldots$ |
28224.fk6 |
28224bz1 |
28224.fk |
28224bz |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( - 2^{18} \cdot 3^{8} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.169 |
2B |
$336$ |
$192$ |
$1$ |
$2.974250330$ |
$1$ |
|
$3$ |
$98304$ |
$1.596466$ |
$103823/63$ |
$[0, 0, 0, 27636, -389648]$ |
\(y^2=x^3+27636x-389648\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 14.6.0.b.1, 16.48.0-16.e.1.4, $\ldots$ |
28749.h6 |
28749e1 |
28749.h |
28749e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 37^{2} \) |
\( - 3^{2} \cdot 7 \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$12432$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$25344$ |
$0.839944$ |
$103823/63$ |
$[1, 0, 1, 1340, -4051]$ |
\(y^2+xy+y=x^3+1340x-4051\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
33327.k6 |
33327m1 |
33327.k |
33327m |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{8} \cdot 7 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$7728$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$50688$ |
$1.151537$ |
$103823/63$ |
$[1, -1, 0, 4662, -28161]$ |
\(y^2+xy=x^3-x^2+4662x-28161\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
33600.ce6 |
33600em1 |
33600.ce |
33600em |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{18} \cdot 3^{2} \cdot 5^{6} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$32768$ |
$0.878924$ |
$103823/63$ |
$[0, -1, 0, 1567, 4737]$ |
\(y^2=x^3-x^2+1567x+4737\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
33600.fm6 |
33600dd1 |
33600.fm |
33600dd |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{18} \cdot 3^{2} \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$1680$ |
$192$ |
$1$ |
$3.001937169$ |
$1$ |
|
$3$ |
$32768$ |
$0.878924$ |
$103823/63$ |
$[0, 1, 0, 1567, -4737]$ |
\(y^2=x^3+x^2+1567x-4737\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
35301.c6 |
35301e1 |
35301.c |
35301e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 41^{2} \) |
\( - 3^{2} \cdot 7 \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$13776$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$35200$ |
$0.891271$ |
$103823/63$ |
$[1, 1, 1, 1646, -4978]$ |
\(y^2+xy+y=x^3+x^2+1646x-4978\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
38829.h6 |
38829f1 |
38829.h |
38829f |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 43^{2} \) |
\( - 3^{2} \cdot 7 \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$14448$ |
$192$ |
$1$ |
$5.671722456$ |
$1$ |
|
$1$ |
$40320$ |
$0.915085$ |
$103823/63$ |
$[1, 1, 0, 1811, 7288]$ |
\(y^2+xy=x^3+x^2+1811x+7288\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
40656.l6 |
40656bk1 |
40656.l |
40656bk |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$3696$ |
$192$ |
$1$ |
$0.974222460$ |
$1$ |
|
$7$ |
$40960$ |
$0.926579$ |
$103823/63$ |
$[0, -1, 0, 1896, -7632]$ |
\(y^2=x^3-x^2+1896x-7632\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
42483.d6 |
42483v1 |
42483.d |
42483v |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 3^{2} \cdot 7^{7} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$5712$ |
$192$ |
$1$ |
$4.317772745$ |
$1$ |
|
$3$ |
$110592$ |
$1.424046$ |
$103823/63$ |
$[1, 0, 0, 13866, 139635]$ |
\(y^2+xy=x^3+13866x+139635\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
46389.d6 |
46389k1 |
46389.d |
46389k |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 47^{2} \) |
\( - 3^{2} \cdot 7 \cdot 47^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$15792$ |
$192$ |
$1$ |
$7.830008456$ |
$1$ |
|
$1$ |
$52992$ |
$0.959558$ |
$103823/63$ |
$[1, 0, 0, 2163, 8712]$ |
\(y^2+xy=x^3+2163x+8712\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
52983.e6 |
52983a1 |
52983.e |
52983a |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 29^{2} \) |
\( - 3^{8} \cdot 7 \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$9744$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$100352$ |
$1.267439$ |
$103823/63$ |
$[1, -1, 1, 7411, 52260]$ |
\(y^2+xy+y=x^3-x^2+7411x+52260\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
53067.r6 |
53067q1 |
53067.r |
53067q |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{2} \cdot 7^{7} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$6384$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$165888$ |
$1.479660$ |
$103823/63$ |
$[1, 0, 1, 17320, -191887]$ |
\(y^2+xy+y=x^3+17320x-191887\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
53361.p6 |
53361bo1 |
53361.p |
53361bo |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 3^{8} \cdot 7^{7} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$245760$ |
$1.755693$ |
$103823/63$ |
$[1, -1, 1, 52249, 999870]$ |
\(y^2+xy+y=x^3-x^2+52249x+999870\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
56784.bh6 |
56784bk1 |
56784.bh |
56784bk |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 7 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$4368$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.010107$ |
$103823/63$ |
$[0, -1, 0, 2648, 10672]$ |
\(y^2=x^3-x^2+2648x+10672\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
58800.m6 |
58800gb1 |
58800.m |
58800gb |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{6} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$1680$ |
$192$ |
$1$ |
$0.797831348$ |
$1$ |
|
$11$ |
$196608$ |
$1.505306$ |
$103823/63$ |
$[0, -1, 0, 19192, -231888]$ |
\(y^2=x^3-x^2+19192x-231888\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
58989.n6 |
58989a1 |
58989.n |
58989a |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 53^{2} \) |
\( - 3^{2} \cdot 7 \cdot 53^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$17808$ |
$192$ |
$1$ |
$6.199538599$ |
$1$ |
|
$1$ |
$74880$ |
$1.019630$ |
$103823/63$ |
$[1, 1, 0, 2751, -11088]$ |
\(y^2+xy=x^3+x^2+2751x-11088\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |