| 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 |
| 21.a3 |
21a3 |
21.a |
21a |
$6$ |
$8$ |
\( 3 \cdot 7 \) |
\( 3^{8} \cdot 7 \) |
$0$ |
$\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.159 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$6$ |
$2$ |
$-0.272368$ |
$6570725617/45927$ |
$1.00160$ |
$7.42510$ |
$[1, 0, 0, -39, 90]$ |
\(y^2+xy=x^3-39x+90\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.1, 28.24.0-28.h.1.2, 48.96.0-48.bf.1.3, $\ldots$ |
$[]$ |
| 63.a3 |
63a3 |
63.a |
63a |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \) |
\( 3^{14} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.98 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$16$ |
$0.276938$ |
$6570725617/45927$ |
$1.00160$ |
$7.04722$ |
$[1, -1, 0, -351, -2430]$ |
\(y^2+xy=x^3-x^2-351x-2430\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.2, 16.48.0-8.bb.1.8, $\ldots$ |
$[]$ |
| 147.a3 |
147a3 |
147.a |
147a |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \) |
\( 3^{8} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.182 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$96$ |
$0.700587$ |
$6570725617/45927$ |
$1.00160$ |
$6.86941$ |
$[1, 1, 1, -1912, -32782]$ |
\(y^2+xy+y=x^3+x^2-1912x-32782\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.1.6, 28.24.0-28.h.1.1, 48.96.0-48.bf.1.10, $\ldots$ |
$[]$ |
| 336.a3 |
336e3 |
336.a |
336e |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \) |
\( 2^{12} \cdot 3^{8} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.176 |
2B |
$336$ |
$192$ |
$1$ |
$1.492598417$ |
$1$ |
|
$5$ |
$128$ |
$0.420779$ |
$6570725617/45927$ |
$1.00160$ |
$5.31598$ |
$[0, -1, 0, -624, -5760]$ |
\(y^2=x^3-x^2-624x-5760\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.1.3, 28.24.0-28.h.1.1, 48.96.0-48.bf.1.7, $\ldots$ |
$[(-14, 6)]$ |
| 441.f3 |
441c4 |
441.f |
441c |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \) |
\( 3^{14} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.99 |
2B |
$336$ |
$192$ |
$1$ |
$1.319254411$ |
$1$ |
|
$4$ |
$768$ |
$1.249893$ |
$6570725617/45927$ |
$1.00160$ |
$6.71255$ |
$[1, -1, 0, -17208, 867901]$ |
\(y^2+xy=x^3-x^2-17208x+867901\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.1, 16.48.0-8.bb.1.3, $\ldots$ |
$[(20, 719)]$ |
| 525.d3 |
525b4 |
525.d |
525b |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \) |
\( 3^{8} \cdot 5^{6} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$256$ |
$0.532351$ |
$6570725617/45927$ |
$1.00160$ |
$5.15096$ |
$[1, 1, 0, -975, 11250]$ |
\(y^2+xy=x^3+x^2-975x+11250\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 20.12.0-4.c.1.2, 28.12.0.h.1, $\ldots$ |
$[]$ |
| 1008.l3 |
1008k4 |
1008.l |
1008k |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \) |
\( 2^{12} \cdot 3^{14} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.100 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.970085$ |
$6570725617/45927$ |
$1.00160$ |
$5.42464$ |
$[0, 0, 0, -5619, 161138]$ |
\(y^2=x^3-5619x+161138\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.1, 16.48.0-8.bb.1.6, $\ldots$ |
$[]$ |
| 1344.g3 |
1344a4 |
1344.g |
1344a |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \) |
\( 2^{18} \cdot 3^{8} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.219 |
2B |
$336$ |
$192$ |
$1$ |
$0.975480281$ |
$1$ |
|
$7$ |
$1024$ |
$0.767352$ |
$6570725617/45927$ |
$1.00160$ |
$4.87027$ |
$[0, -1, 0, -2497, 48577]$ |
\(y^2=x^3-x^2-2497x+48577\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.7, 28.12.0.h.1, 48.96.0-48.bf.1.15, $\ldots$ |
$[(33, 32)]$ |
| 1344.s3 |
1344r3 |
1344.s |
1344r |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \) |
\( 2^{18} \cdot 3^{8} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.215 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.767352$ |
$6570725617/45927$ |
$1.00160$ |
$4.87027$ |
$[0, 1, 0, -2497, -48577]$ |
\(y^2=x^3+x^2-2497x-48577\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.5, 28.12.0.h.1, 48.96.0-48.bf.1.11, $\ldots$ |
$[]$ |
| 1575.c3 |
1575g3 |
1575.c |
1575g |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 3^{14} \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$1680$ |
$192$ |
$1$ |
$1.890299589$ |
$1$ |
|
$4$ |
$2048$ |
$1.081657$ |
$6570725617/45927$ |
$1.00160$ |
$5.27766$ |
$[1, -1, 1, -8780, -312528]$ |
\(y^2+xy+y=x^3-x^2-8780x-312528\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[(-51, 0)]$ |
| 2352.v3 |
2352v4 |
2352.v |
2352v |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 7^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.165 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$6144$ |
$1.393734$ |
$6570725617/45927$ |
$1.00160$ |
$5.48744$ |
$[0, 1, 0, -30592, 2036852]$ |
\(y^2=x^3+x^2-30592x+2036852\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.48.0-8.bb.1.8, 28.24.0-28.h.1.2, 48.96.0-48.bf.1.14, $\ldots$ |
$[]$ |
| 2541.j3 |
2541l3 |
2541.j |
2541l |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 11^{2} \) |
\( 3^{8} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2560$ |
$0.926579$ |
$6570725617/45927$ |
$1.00160$ |
$4.71834$ |
$[1, 0, 1, -4722, -124511]$ |
\(y^2+xy+y=x^3-4722x-124511\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 44.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 3549.c3 |
3549c4 |
3549.c |
3549c |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 13^{2} \) |
\( 3^{8} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$4368$ |
$192$ |
$1$ |
$1.335727764$ |
$1$ |
|
$4$ |
$4608$ |
$1.010107$ |
$6570725617/45927$ |
$1.00160$ |
$4.64811$ |
$[1, 0, 1, -6595, 204323]$ |
\(y^2+xy+y=x^3-6595x+204323\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[(43, 5)]$ |
| 3675.n3 |
3675j3 |
3675.n |
3675j |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{8} \cdot 5^{6} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$1680$ |
$192$ |
$1$ |
$0.965741160$ |
$1$ |
|
$4$ |
$12288$ |
$1.505306$ |
$6570725617/45927$ |
$1.00160$ |
$5.35221$ |
$[1, 0, 1, -47801, -4002127]$ |
\(y^2+xy+y=x^3-47801x-4002127\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 20.12.0-4.c.1.1, 28.12.0.h.1, $\ldots$ |
$[(-129, 211)]$ |
| 4032.h3 |
4032h3 |
4032.h |
4032h |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \) |
\( 2^{18} \cdot 3^{14} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.104 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$8192$ |
$1.316658$ |
$6570725617/45927$ |
$1.00160$ |
$5.01977$ |
$[0, 0, 0, -22476, -1289104]$ |
\(y^2=x^3-22476x-1289104\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0-8.bb.1.2, 24.48.0-8.bb.1.5, $\ldots$ |
$[]$ |
| 4032.k3 |
4032bm4 |
4032.k |
4032bm |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \) |
\( 2^{18} \cdot 3^{14} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.106 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$8192$ |
$1.316658$ |
$6570725617/45927$ |
$1.00160$ |
$5.01977$ |
$[0, 0, 0, -22476, 1289104]$ |
\(y^2=x^3-22476x+1289104\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0-8.bb.1.4, 24.48.0-8.bb.1.6, $\ldots$ |
$[]$ |
| 6069.b3 |
6069b4 |
6069.b |
6069b |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 17^{2} \) |
\( 3^{8} \cdot 7 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$5712$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$9216$ |
$1.144238$ |
$6570725617/45927$ |
$1.00160$ |
$4.54660$ |
$[1, 1, 1, -11277, 453444]$ |
\(y^2+xy+y=x^3+x^2-11277x+453444\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[]$ |
| 7056.p3 |
7056bx3 |
7056.p |
7056bx |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{14} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.103 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.943041$ |
$6570725617/45927$ |
$1.00160$ |
$5.55098$ |
$[0, 0, 0, -275331, -55270334]$ |
\(y^2=x^3-275331x-55270334\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 12.12.0-4.c.1.2, 16.48.0-8.bb.1.1, $\ldots$ |
$[]$ |
| 7581.d3 |
7581b3 |
7581.d |
7581b |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 19^{2} \) |
\( 3^{8} \cdot 7 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$6384$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$13824$ |
$1.199852$ |
$6570725617/45927$ |
$1.00160$ |
$4.50808$ |
$[1, 1, 0, -14086, -645479]$ |
\(y^2+xy=x^3+x^2-14086x-645479\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[]$ |
| 7623.g3 |
7623p4 |
7623.g |
7623p |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 11^{2} \) |
\( 3^{14} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$20480$ |
$1.475885$ |
$6570725617/45927$ |
$1.00160$ |
$4.87586$ |
$[1, -1, 1, -42494, 3361790]$ |
\(y^2+xy+y=x^3-x^2-42494x+3361790\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[]$ |
| 8400.bn3 |
8400cd3 |
8400.bn |
8400cd |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$1680$ |
$192$ |
$1$ |
$1.444790239$ |
$1$ |
|
$7$ |
$16384$ |
$1.225498$ |
$6570725617/45927$ |
$1.00160$ |
$4.49096$ |
$[0, 1, 0, -15608, -751212]$ |
\(y^2=x^3+x^2-15608x-751212\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 20.12.0-4.c.1.1, 28.12.0.h.1, $\ldots$ |
$[(-68, 18)]$ |
| 9408.m3 |
9408cd4 |
9408.m |
9408cd |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{18} \cdot 3^{8} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.220 |
2B |
$336$ |
$192$ |
$1$ |
$1.717899296$ |
$1$ |
|
$5$ |
$49152$ |
$1.740307$ |
$6570725617/45927$ |
$1.00160$ |
$5.11055$ |
$[0, -1, 0, -122369, 16417185]$ |
\(y^2=x^3-x^2-122369x+16417185\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.2, 28.12.0.h.1, 48.96.0-48.bf.1.2, $\ldots$ |
$[(187, 196)]$ |
| 9408.bv3 |
9408bj3 |
9408.bv |
9408bj |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{18} \cdot 3^{8} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.216 |
2B |
$336$ |
$192$ |
$1$ |
$1.094126633$ |
$1$ |
|
$7$ |
$49152$ |
$1.740307$ |
$6570725617/45927$ |
$1.00160$ |
$5.11055$ |
$[0, 1, 0, -122369, -16417185]$ |
\(y^2=x^3+x^2-122369x-16417185\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.4, 28.12.0.h.1, 48.96.0-48.bf.1.6, $\ldots$ |
$[(-197, 288)]$ |
| 10647.d3 |
10647f3 |
10647.d |
10647f |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 3^{14} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$4368$ |
$192$ |
$1$ |
$4.388966748$ |
$1$ |
|
$2$ |
$36864$ |
$1.559412$ |
$6570725617/45927$ |
$1.00160$ |
$4.80827$ |
$[1, -1, 1, -59351, -5516728]$ |
\(y^2+xy+y=x^3-x^2-59351x-5516728\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[(907, 25741)]$ |
| 11025.g3 |
11025ba4 |
11025.g |
11025ba |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{14} \cdot 5^{6} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$1680$ |
$192$ |
$1$ |
$0.900424491$ |
$1$ |
|
$8$ |
$98304$ |
$2.054611$ |
$6570725617/45927$ |
$1.00160$ |
$5.42867$ |
$[1, -1, 1, -430205, 108057422]$ |
\(y^2+xy+y=x^3-x^2-430205x+108057422\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[(534, 5245)]$ |
| 11109.d3 |
11109i3 |
11109.d |
11109i |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 23^{2} \) |
\( 3^{8} \cdot 7 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$7728$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$25344$ |
$1.295380$ |
$6570725617/45927$ |
$1.00160$ |
$4.44622$ |
$[1, 0, 0, -20642, -1136307]$ |
\(y^2+xy=x^3-20642x-1136307\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[]$ |
| 17661.f3 |
17661a4 |
17661.f |
17661a |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 29^{2} \) |
\( 3^{8} \cdot 7 \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$9744$ |
$192$ |
$1$ |
$2.256928575$ |
$1$ |
|
$2$ |
$50176$ |
$1.411280$ |
$6570725617/45927$ |
$1.00160$ |
$4.37766$ |
$[1, 1, 0, -32816, 2260629]$ |
\(y^2+xy=x^3+x^2-32816x+2260629\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[(292, 4059)]$ |
| 17787.s3 |
17787h4 |
17787.s |
17787h |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{8} \cdot 7^{7} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$3696$ |
$192$ |
$1$ |
$3.277722588$ |
$1$ |
|
$0$ |
$122880$ |
$1.899534$ |
$6570725617/45927$ |
$1.00160$ |
$4.97319$ |
$[1, 1, 0, -231354, 42475833]$ |
\(y^2+xy=x^3+x^2-231354x+42475833\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 44.12.0-4.c.1.1, $\ldots$ |
$[(-2209/2, 14067/2)]$ |
| 18207.e3 |
18207e3 |
18207.e |
18207e |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 3^{14} \cdot 7 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$5712$ |
$192$ |
$1$ |
$9.958186213$ |
$1$ |
|
$0$ |
$73728$ |
$1.693544$ |
$6570725617/45927$ |
$1.00160$ |
$4.70937$ |
$[1, -1, 0, -101493, -12344486]$ |
\(y^2+xy=x^3-x^2-101493x-12344486\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[(552011/10, 406643429/10)]$ |
| 20181.e3 |
20181d3 |
20181.e |
20181d |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 31^{2} \) |
\( 3^{8} \cdot 7 \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$10416$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$61440$ |
$1.444626$ |
$6570725617/45927$ |
$1.00160$ |
$4.35913$ |
$[1, 1, 1, -37499, -2793670]$ |
\(y^2+xy+y=x^3+x^2-37499x-2793670\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[]$ |
| 22743.f3 |
22743n3 |
22743.f |
22743n |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 19^{2} \) |
\( 3^{14} \cdot 7 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$6384$ |
$192$ |
$1$ |
$1.847104057$ |
$1$ |
|
$4$ |
$110592$ |
$1.749157$ |
$6570725617/45927$ |
$1.00160$ |
$4.67147$ |
$[1, -1, 1, -126779, 17301156]$ |
\(y^2+xy+y=x^3-x^2-126779x+17301156\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[(-52, 4899)]$ |
| 24843.p3 |
24843d3 |
24843.p |
24843d |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{8} \cdot 7^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$4368$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$221184$ |
$1.983061$ |
$6570725617/45927$ |
$1.00160$ |
$4.90805$ |
$[1, 1, 0, -323131, -70406006]$ |
\(y^2+xy=x^3+x^2-323131x-70406006\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[]$ |
| 25200.cr3 |
25200dx3 |
25200.cr |
25200dx |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{12} \cdot 3^{14} \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$1680$ |
$192$ |
$1$ |
$2.856034248$ |
$1$ |
|
$5$ |
$131072$ |
$1.774803$ |
$6570725617/45927$ |
$1.00160$ |
$4.65455$ |
$[0, 0, 0, -140475, 20142250]$ |
\(y^2=x^3-140475x+20142250\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[(255, 950)]$ |
| 28224.es3 |
28224fw3 |
28224.es |
28224fw |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{18} \cdot 3^{14} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.107 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$2.289616$ |
$6570725617/45927$ |
$1.00160$ |
$5.20590$ |
$[0, 0, 0, -1101324, -442162672]$ |
\(y^2=x^3-1101324x-442162672\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0-8.bb.1.7, 24.48.0-8.bb.1.4, $\ldots$ |
$[]$ |
| 28224.fk3 |
28224bz3 |
28224.fk |
28224bz |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{18} \cdot 3^{14} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.105 |
2B |
$336$ |
$192$ |
$1$ |
$2.974250330$ |
$1$ |
|
$3$ |
$393216$ |
$2.289616$ |
$6570725617/45927$ |
$1.00160$ |
$5.20590$ |
$[0, 0, 0, -1101324, 442162672]$ |
\(y^2=x^3-1101324x+442162672\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 16.48.0-8.bb.1.5, 24.48.0-8.bb.1.3, $\ldots$ |
$[(494, 4320)]$ |
| 28749.h3 |
28749e3 |
28749.h |
28749e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 37^{2} \) |
\( 3^{8} \cdot 7 \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$12432$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$101376$ |
$1.533091$ |
$6570725617/45927$ |
$1.00160$ |
$4.31228$ |
$[1, 0, 1, -53420, 4718999]$ |
\(y^2+xy+y=x^3-53420x+4718999\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[]$ |
| 33327.k3 |
33327m3 |
33327.k |
33327m |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 3^{14} \cdot 7 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$7728$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$202752$ |
$1.844685$ |
$6570725617/45927$ |
$1.00160$ |
$4.61014$ |
$[1, -1, 0, -185778, 30680289]$ |
\(y^2+xy=x^3-x^2-185778x+30680289\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[]$ |
| 33600.ce3 |
33600em3 |
33600.ce |
33600em |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{18} \cdot 3^{8} \cdot 5^{6} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$131072$ |
$1.572071$ |
$6570725617/45927$ |
$1.00160$ |
$4.29265$ |
$[0, -1, 0, -62433, -5947263]$ |
\(y^2=x^3-x^2-62433x-5947263\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 40.48.0-8.bb.1.3, $\ldots$ |
$[]$ |
| 33600.fm3 |
33600dd3 |
33600.fm |
33600dd |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{18} \cdot 3^{8} \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$1680$ |
$192$ |
$1$ |
$0.750484292$ |
$1$ |
|
$9$ |
$131072$ |
$1.572071$ |
$6570725617/45927$ |
$1.00160$ |
$4.29265$ |
$[0, 1, 0, -62433, 5947263]$ |
\(y^2=x^3+x^2-62433x+5947263\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 40.48.0-8.bb.1.4, $\ldots$ |
$[(3, 2400)]$ |
| 35301.c3 |
35301e3 |
35301.c |
35301e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 41^{2} \) |
\( 3^{8} \cdot 7 \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$13776$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$140800$ |
$1.584417$ |
$6570725617/45927$ |
$1.00160$ |
$4.28655$ |
$[1, 1, 1, -65594, 6399632]$ |
\(y^2+xy+y=x^3+x^2-65594x+6399632\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[]$ |
| 38829.h3 |
38829f3 |
38829.h |
38829f |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 43^{2} \) |
\( 3^{8} \cdot 7 \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$14448$ |
$192$ |
$1$ |
$22.68688982$ |
$1$ |
|
$0$ |
$161280$ |
$1.608232$ |
$6570725617/45927$ |
$1.00160$ |
$4.27495$ |
$[1, 1, 0, -72149, -7444182]$ |
\(y^2+xy=x^3+x^2-72149x-7444182\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[(291794244211/9690, 155629928745350789/9690)]$ |
| 40656.l3 |
40656bk3 |
40656.l |
40656bk |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$3696$ |
$192$ |
$1$ |
$3.896889842$ |
$1$ |
|
$3$ |
$163840$ |
$1.619726$ |
$6570725617/45927$ |
$1.00160$ |
$4.26943$ |
$[0, -1, 0, -75544, 7968688]$ |
\(y^2=x^3-x^2-75544x+7968688\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 44.12.0-4.c.1.1, $\ldots$ |
$[(898, 25758)]$ |
| 42483.d3 |
42483v3 |
42483.d |
42483v |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 17^{2} \) |
\( 3^{8} \cdot 7^{7} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$5712$ |
$192$ |
$1$ |
$1.079443186$ |
$1$ |
|
$6$ |
$442368$ |
$2.117195$ |
$6570725617/45927$ |
$1.00160$ |
$4.81198$ |
$[1, 0, 0, -552574, -157189075]$ |
\(y^2+xy=x^3-552574x-157189075\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[(-409, 866)]$ |
| 46389.d3 |
46389k3 |
46389.d |
46389k |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 47^{2} \) |
\( 3^{8} \cdot 7 \cdot 47^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$15792$ |
$192$ |
$1$ |
$1.957502114$ |
$1$ |
|
$2$ |
$211968$ |
$1.652706$ |
$6570725617/45927$ |
$1.00160$ |
$4.25384$ |
$[1, 0, 0, -86197, -9688798]$ |
\(y^2+xy=x^3-86197x-9688798\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[(701, 16217)]$ |
| 52983.e3 |
52983a3 |
52983.e |
52983a |
$6$ |
$8$ |
\( 3^{2} \cdot 7 \cdot 29^{2} \) |
\( 3^{14} \cdot 7 \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$9744$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$401408$ |
$1.960587$ |
$6570725617/45927$ |
$1.00160$ |
$4.54151$ |
$[1, -1, 1, -295349, -61332330]$ |
\(y^2+xy+y=x^3-x^2-295349x-61332330\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[]$ |
| 53067.r3 |
53067q3 |
53067.r |
53067q |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{8} \cdot 7^{7} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$6384$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$663552$ |
$2.172806$ |
$6570725617/45927$ |
$1.00160$ |
$4.77493$ |
$[1, 0, 1, -690240, 219328603]$ |
\(y^2+xy+y=x^3-690240x+219328603\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[]$ |
| 53361.p3 |
53361bo3 |
53361.p |
53361bo |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( 3^{14} \cdot 7^{7} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$983040$ |
$2.448841$ |
$6570725617/45927$ |
$1.00160$ |
$5.07682$ |
$[1, -1, 1, -2082191, -1148929680]$ |
\(y^2+xy+y=x^3-x^2-2082191x-1148929680\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[]$ |
| 56784.bh3 |
56784bk3 |
56784.bh |
56784bk |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 7 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$4368$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$294912$ |
$1.703253$ |
$6570725617/45927$ |
$1.00160$ |
$4.23069$ |
$[0, -1, 0, -105512, -13076688]$ |
\(y^2=x^3-x^2-105512x-13076688\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[]$ |
| 58800.m3 |
58800gb3 |
58800.m |
58800gb |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{6} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$1680$ |
$192$ |
$1$ |
$3.191325394$ |
$1$ |
|
$5$ |
$786432$ |
$2.198452$ |
$6570725617/45927$ |
$1.00160$ |
$4.75835$ |
$[0, -1, 0, -764808, 256136112]$ |
\(y^2=x^3-x^2-764808x+256136112\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 20.12.0-4.c.1.2, 28.12.0.h.1, $\ldots$ |
$[(618, 4374)]$ |
| 58989.n3 |
58989a3 |
58989.n |
58989a |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 53^{2} \) |
\( 3^{8} \cdot 7 \cdot 53^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$17808$ |
$192$ |
$1$ |
$6.199538599$ |
$1$ |
|
$0$ |
$299520$ |
$1.712778$ |
$6570725617/45927$ |
$1.00160$ |
$4.22642$ |
$[1, 1, 0, -109609, 13837282]$ |
\(y^2+xy=x^3+x^2-109609x+13837282\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[(38094/13, 1519250/13)]$ |
