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 |
510.e3 |
510e5 |
510.e |
510e |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.51 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$1024$ |
$1.140167$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$6.13810$ |
$[1, 1, 1, -7220, -224143]$ |
\(y^2+xy+y=x^3+x^2-7220x-224143\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 8.96.0-8.k.2.2, 136.192.1.?, 240.192.1.?, $\ldots$ |
$[]$ |
1530.b3 |
1530c5 |
1530.b |
1530c |
$8$ |
$16$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{2} \cdot 3^{14} \cdot 5^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$8192$ |
$1.689472$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$6.11741$ |
$[1, -1, 0, -64980, 5986876]$ |
\(y^2+xy=x^3-x^2-64980x+5986876\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 12.24.0-4.b.1.1, 24.96.0-8.k.2.1, $\ldots$ |
$[]$ |
2550.l3 |
2550h5 |
2550.l |
2550h |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{14} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$24576$ |
$1.944885$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$6.10976$ |
$[1, 0, 1, -180501, -27656852]$ |
\(y^2+xy+y=x^3-180501x-27656852\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 20.24.0-4.b.1.1, 40.96.0-8.k.2.2, $\ldots$ |
$[]$ |
4080.ba3 |
4080be5 |
4080.ba |
4080be |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17 \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.39 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1.393987232$ |
$1$ |
|
$19$ |
$24576$ |
$1.833313$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$5.60332$ |
$[0, 1, 0, -115520, 14114100]$ |
\(y^2=x^3+x^2-115520x+14114100\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.96.0-8.k.2.4, 136.192.1.?, 240.192.1.?, $\ldots$ |
$[(250, 960)]$ |
7650.bx3 |
7650ca5 |
7650.bx |
7650ca |
$8$ |
$16$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{14} \cdot 5^{14} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.40 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$2$ |
$196608$ |
$2.494190$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$6.09628$ |
$[1, -1, 1, -1624505, 746734997]$ |
\(y^2+xy+y=x^3-x^2-1624505x+746734997\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 16.96.0-8.k.2.2, 60.24.0-4.b.1.1, $\ldots$ |
$[]$ |
8670.v3 |
8670v5 |
8670.v |
8670v |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.139 |
2Cs |
$4080$ |
$768$ |
$13$ |
$6.925897456$ |
$1$ |
|
$2$ |
$294912$ |
$2.556774$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$6.09495$ |
$[1, 0, 0, -2086586, -1086607584]$ |
\(y^2+xy=x^3-2086586x-1086607584\) |
2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.k.2.6, 68.24.0-4.b.1.1, 136.192.1.?, $\ldots$ |
$[(17080/3, 1116508/3)]$ |
12240.o3 |
12240bm5 |
12240.o |
12240bm |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{14} \cdot 3^{14} \cdot 5^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$4080$ |
$768$ |
$13$ |
$7.362501028$ |
$1$ |
|
$3$ |
$196608$ |
$2.382618$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$5.64962$ |
$[0, 0, 0, -1039683, -382120382]$ |
\(y^2=x^3-1039683x-382120382\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 12.24.0-4.b.1.3, 24.96.0-8.k.2.3, $\ldots$ |
$[(70559/5, 17305002/5)]$ |
16320.m3 |
16320bt5 |
16320.m |
16320bt |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17 \) |
\( 2^{20} \cdot 3^{8} \cdot 5^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.132 |
2Cs |
$4080$ |
$768$ |
$13$ |
$7.689371027$ |
$1$ |
|
$3$ |
$196608$ |
$2.179886$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$5.23127$ |
$[0, -1, 0, -462081, 113374881]$ |
\(y^2=x^3-x^2-462081x+113374881\) |
2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.k.2.1, 68.24.0-4.b.1.2, 136.192.1.?, $\ldots$ |
$[(17551/5, 1449624/5)]$ |
16320.bw3 |
16320bb5 |
16320.bw |
16320bb |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17 \) |
\( 2^{20} \cdot 3^{8} \cdot 5^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.134 |
2Cs |
$4080$ |
$768$ |
$13$ |
$3.642118850$ |
$1$ |
|
$7$ |
$196608$ |
$2.179886$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$5.23127$ |
$[0, 1, 0, -462081, -113374881]$ |
\(y^2=x^3+x^2-462081x-113374881\) |
2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.k.2.3, 68.24.0-4.b.1.2, 136.192.1.?, $\ldots$ |
$[(-373, 2688)]$ |
20400.x3 |
20400bt5 |
20400.x |
20400bt |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{14} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$589824$ |
$2.638031$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$5.66766$ |
$[0, -1, 0, -2888008, 1770038512]$ |
\(y^2=x^3-x^2-2888008x+1770038512\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 20.24.0-4.b.1.3, 40.96.0-8.k.2.4, $\ldots$ |
$[]$ |
24990.cb3 |
24990bx6 |
24990.cb |
24990bx |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 7^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$28560$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$393216$ |
$2.113121$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$4.93203$ |
$[1, 0, 0, -353781, 75819645]$ |
\(y^2+xy=x^3-353781x+75819645\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 28.24.0-4.b.1.1, 56.96.0-8.k.2.1, $\ldots$ |
$[]$ |
26010.u3 |
26010r6 |
26010.u |
26010r |
$8$ |
$16$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{14} \cdot 5^{8} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$4080$ |
$768$ |
$13$ |
$2.570532469$ |
$1$ |
|
$8$ |
$2359296$ |
$3.106079$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$6.08469$ |
$[1, -1, 0, -18779274, 29338404768]$ |
\(y^2+xy=x^3-x^2-18779274x+29338404768\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 24.96.0-8.k.2.5, 80.96.0.?, $\ldots$ |
$[(1917, 18549)]$ |
43350.p3 |
43350b6 |
43350.p |
43350b |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{14} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$4080$ |
$768$ |
$13$ |
$14.83257317$ |
$1$ |
|
$2$ |
$7077888$ |
$3.361492$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$6.08064$ |
$[1, 1, 0, -52164650, -135825948000]$ |
\(y^2+xy=x^3+x^2-52164650x-135825948000\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 40.96.0-8.k.2.6, 48.96.0-8.k.2.4, $\ldots$ |
$[(-23427841/73, 36847962362/73)]$ |
48960.en3 |
48960fd6 |
48960.en |
48960fd |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{20} \cdot 3^{14} \cdot 5^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$1572864$ |
$2.729195$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$5.30948$ |
$[0, 0, 0, -4158732, -3056963056]$ |
\(y^2=x^3-4158732x-3056963056\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 24.96.0-8.k.2.2, 80.96.0.?, $\ldots$ |
$[]$ |
48960.et3 |
48960cl6 |
48960.et |
48960cl |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( 2^{20} \cdot 3^{14} \cdot 5^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$4080$ |
$768$ |
$13$ |
$2.830599464$ |
$1$ |
|
$9$ |
$1572864$ |
$2.729195$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$5.30948$ |
$[0, 0, 0, -4158732, 3056963056]$ |
\(y^2=x^3-4158732x+3056963056\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 24.96.0-8.k.2.4, 80.96.0.?, $\ldots$ |
$[(-88, 58500)]$ |
61200.ek3 |
61200ff6 |
61200.ek |
61200ff |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{14} \cdot 3^{14} \cdot 5^{14} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.40 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$3$ |
$4718592$ |
$3.187340$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$5.70079$ |
$[0, 0, 0, -25992075, -47765047750]$ |
\(y^2=x^3-25992075x-47765047750\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 16.96.0-8.k.2.2, 60.24.0-4.b.1.3, $\ldots$ |
$[]$ |
61710.o3 |
61710n6 |
61710.o |
61710n |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 11^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$44880$ |
$768$ |
$13$ |
$1.117909676$ |
$1$ |
|
$12$ |
$1310720$ |
$2.339115$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$4.77369$ |
$[1, 1, 0, -873622, 293965984]$ |
\(y^2+xy=x^3+x^2-873622x+293965984\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 44.24.0-4.b.1.1, 88.96.0.?, $\ldots$ |
$[(798, 9886)]$ |
69360.q3 |
69360cb6 |
69360.q |
69360cb |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{8} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.126 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$3$ |
$7077888$ |
$3.249920$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$5.70415$ |
$[0, -1, 0, -33385376, 69542885376]$ |
\(y^2=x^3-x^2-33385376x+69542885376\) |
2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.k.2.8, 68.24.0-4.b.1.3, 136.192.1.?, $\ldots$ |
$[]$ |
74970.bf3 |
74970bx6 |
74970.bf |
74970bx |
$8$ |
$16$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{14} \cdot 5^{8} \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$28560$ |
$768$ |
$13$ |
$1.248414652$ |
$1$ |
|
$14$ |
$3145728$ |
$2.662426$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$5.03656$ |
$[1, -1, 0, -3184029, -2047130415]$ |
\(y^2+xy=x^3-x^2-3184029x-2047130415\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 84.24.0.?, 136.96.1.?, $\ldots$ |
$[(-929, -9948)]$ |
81600.cd3 |
81600c6 |
81600.cd |
81600c |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( 2^{20} \cdot 3^{8} \cdot 5^{14} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$4080$ |
$768$ |
$13$ |
$12.67390088$ |
$1$ |
|
$5$ |
$4718592$ |
$2.984608$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$5.34067$ |
$[0, -1, 0, -11552033, -14148756063]$ |
\(y^2=x^3-x^2-11552033x-14148756063\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 40.96.0-8.k.2.3, 48.96.0-8.k.2.1, $\ldots$ |
$[(74472057, 642672950400)]$ |
81600.hw3 |
81600hu6 |
81600.hw |
81600hu |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 17 \) |
\( 2^{20} \cdot 3^{8} \cdot 5^{14} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$4080$ |
$768$ |
$13$ |
$4.451408143$ |
$1$ |
|
$7$ |
$4718592$ |
$2.984608$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$5.34067$ |
$[0, 1, 0, -11552033, 14148756063]$ |
\(y^2=x^3+x^2-11552033x+14148756063\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 40.96.0-8.k.2.1, 48.96.0-8.k.2.1, $\ldots$ |
$[(1393, 27600)]$ |
86190.d3 |
86190d6 |
86190.d |
86190d |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 13^{6} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$53040$ |
$768$ |
$13$ |
$11.00701018$ |
$1$ |
|
$12$ |
$2359296$ |
$2.422642$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$4.72155$ |
$[1, 1, 0, -1220183, -486340863]$ |
\(y^2+xy=x^3+x^2-1220183x-486340863\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 52.24.0-4.b.1.1, 104.96.0.?, $\ldots$ |
$[(-723, 4671), (-583, 5516)]$ |
124950.cc3 |
124950z6 |
124950.cc |
124950z |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{14} \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$28560$ |
$768$ |
$13$ |
$3.775133196$ |
$1$ |
|
$6$ |
$9437184$ |
$2.917839$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$5.07849$ |
$[1, 1, 0, -8844525, 9477455625]$ |
\(y^2+xy=x^3+x^2-8844525x+9477455625\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 136.96.1.?, 140.24.0.?, $\ldots$ |
$[(1000, 39925)]$ |
130050.fr3 |
130050bu5 |
130050.fr |
130050bu |
$8$ |
$16$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{14} \cdot 5^{14} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.38 |
2Cs |
$4080$ |
$768$ |
$13$ |
$33.04621499$ |
$1$ |
|
$2$ |
$56623104$ |
$3.910797$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$6.07311$ |
$[1, -1, 1, -469481855, 3666831114147]$ |
\(y^2+xy+y=x^3-x^2-469481855x+3666831114147\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 16.96.0-8.k.2.4, 120.96.0.?, $\ldots$ |
$[(5370141882694407/104423, 392875024738550743751932/104423)]$ |
184110.w3 |
184110bc5 |
184110.w |
184110bc |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 17^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$77520$ |
$768$ |
$13$ |
$0.744074181$ |
$1$ |
|
$14$ |
$7077888$ |
$2.612385$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$4.61377$ |
$[1, 0, 1, -2606428, 1516544198]$ |
\(y^2+xy+y=x^3-2606428x+1516544198\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 76.24.0.?, 136.96.1.?, $\ldots$ |
$[(274, 28550)]$ |
185130.dv3 |
185130bg6 |
185130.dv |
185130bg |
$8$ |
$16$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{14} \cdot 5^{8} \cdot 11^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$44880$ |
$768$ |
$13$ |
$3.945270635$ |
$4$ |
$2$ |
$6$ |
$10485760$ |
$2.888420$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$4.88477$ |
$[1, -1, 1, -7862603, -7944944169]$ |
\(y^2+xy+y=x^3-x^2-7862603x-7944944169\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 132.24.0.?, 136.96.1.?, $\ldots$ |
$[(-1785, 20892)]$ |
199920.k3 |
199920dd6 |
199920.k |
199920dd |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{8} \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$28560$ |
$768$ |
$13$ |
$6.919544486$ |
$1$ |
|
$5$ |
$9437184$ |
$2.806267$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$4.77325$ |
$[0, -1, 0, -5660496, -4852457280]$ |
\(y^2=x^3-x^2-5660496x-4852457280\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 28.24.0-4.b.1.3, 56.96.0-8.k.2.3, $\ldots$ |
$[(453978, 305876250)]$ |
208080.fe3 |
208080o6 |
208080.fe |
208080o |
$8$ |
$16$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 2^{14} \cdot 3^{14} \cdot 5^{8} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$56623104$ |
$3.799225$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$5.73069$ |
$[0, 0, 0, -300468387, -1877357436766]$ |
\(y^2=x^3-300468387x-1877357436766\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 24.96.0-8.k.2.7, 80.96.0.?, $\ldots$ |
$[]$ |
244800.ir3 |
244800ir6 |
244800.ir |
244800ir |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{20} \cdot 3^{14} \cdot 5^{14} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.39 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$3$ |
$37748736$ |
$3.533913$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$5.39904$ |
$[0, 0, 0, -103968300, -382120382000]$ |
\(y^2=x^3-103968300x-382120382000\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 16.96.0-8.k.2.1, 120.96.0.?, $\ldots$ |
$[]$ |
244800.ko3 |
244800ko5 |
244800.ko |
244800ko |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( 2^{20} \cdot 3^{14} \cdot 5^{14} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.39 |
2Cs |
$4080$ |
$768$ |
$13$ |
$14.96457238$ |
$1$ |
|
$3$ |
$37748736$ |
$3.533913$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$5.39904$ |
$[0, 0, 0, -103968300, 382120382000]$ |
\(y^2=x^3-103968300x+382120382000\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 16.96.0-8.k.2.1, 120.96.0.?, $\ldots$ |
$[(25961816/55, 58108456636/55)]$ |
258570.ez3 |
258570ez5 |
258570.ez |
258570ez |
$8$ |
$16$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{14} \cdot 5^{8} \cdot 13^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$53040$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$18874368$ |
$2.971947$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$4.83424$ |
$[1, -1, 1, -10981652, 13120221651]$ |
\(y^2+xy+y=x^3-x^2-10981652x+13120221651\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 136.96.1.?, 156.24.0.?, $\ldots$ |
$[]$ |
269790.bb3 |
269790bb5 |
269790.bb |
269790bb |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 23^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 17^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$93840$ |
$768$ |
$13$ |
$10.24231866$ |
$1$ |
|
$2$ |
$12976128$ |
$2.707912$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$4.56446$ |
$[1, 1, 1, -3819391, 2688951809]$ |
\(y^2+xy+y=x^3+x^2-3819391x+2688951809\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 92.24.0.?, 136.96.1.?, $\ldots$ |
$[(888703/21, 512985892/21)]$ |
277440.dv3 |
277440dv6 |
277440.dv |
277440dv |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{20} \cdot 3^{8} \cdot 5^{8} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.25 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$3$ |
$56623104$ |
$3.596493$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$5.40504$ |
$[0, -1, 0, -133541505, -556209541503]$ |
\(y^2=x^3-x^2-133541505x-556209541503\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 8.96.0-8.k.2.7, 136.192.1.?, 240.192.1.?, $\ldots$ |
$[]$ |
277440.ih3 |
277440ih5 |
277440.ih |
277440ih |
$8$ |
$16$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 17^{2} \) |
\( 2^{20} \cdot 3^{8} \cdot 5^{8} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.17 |
2Cs |
$4080$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$3$ |
$56623104$ |
$3.596493$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$5.40504$ |
$[0, 1, 0, -133541505, 556209541503]$ |
\(y^2=x^3+x^2-133541505x+556209541503\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 8.96.0-8.k.2.5, 136.192.1.?, 240.192.1.?, $\ldots$ |
$[]$ |
308550.iz3 |
308550iz5 |
308550.iz |
308550iz |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{14} \cdot 11^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$44880$ |
$768$ |
$13$ |
$4.670086251$ |
$1$ |
|
$4$ |
$31457280$ |
$3.143833$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$4.92984$ |
$[1, 0, 0, -21840563, 36789429117]$ |
\(y^2+xy=x^3-21840563x+36789429117\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 136.96.1.?, 220.24.0.?, $\ldots$ |
$[(3346, 32599)]$ |
346800.jc3 |
346800jc5 |
346800.jc |
346800jc |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{14} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$4080$ |
$768$ |
$13$ |
$9.177424573$ |
$1$ |
|
$5$ |
$169869312$ |
$4.054642$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$5.74147$ |
$[0, 1, 0, -834634408, 8691191403188]$ |
\(y^2=x^3+x^2-834634408x+8691191403188\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 40.96.0-8.k.2.8, 48.96.0-8.k.2.4, $\ldots$ |
$[(10028702, 31758889728)]$ |
374850.iq3 |
374850iq6 |
374850.iq |
374850iq |
$8$ |
$16$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{14} \cdot 5^{14} \cdot 7^{6} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$28560$ |
$768$ |
$13$ |
$27.89127757$ |
$1$ |
|
$8$ |
$75497472$ |
$3.467148$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$5.15738$ |
$[1, -1, 1, -79600730, -255970902603]$ |
\(y^2+xy+y=x^3-x^2-79600730x-255970902603\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 112.96.0.?, 136.96.1.?, $\ldots$ |
$[(-5995, 78813), (-4107, 42821)]$ |
424830.fk3 |
424830fk5 |
424830.fk |
424830fk |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 7^{6} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$28560$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$113246208$ |
$3.529728$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$5.16551$ |
$[1, 1, 1, -102242715, 372604158597]$ |
\(y^2+xy+y=x^3+x^2-102242715x+372604158597\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 56.96.0-8.k.2.5, 136.96.1.?, $\ldots$ |
$[]$ |
428910.bh3 |
428910bh6 |
428910.bh |
428910bh |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 29^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 17^{2} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$118320$ |
$768$ |
$13$ |
$0.935968459$ |
$1$ |
|
$14$ |
$25690112$ |
$2.823814$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$4.50854$ |
$[1, 0, 1, -6072038, -5393754844]$ |
\(y^2+xy+y=x^3-6072038x-5393754844\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 116.24.0.?, 136.96.1.?, $\ldots$ |
$[(-1380, 19612)]$ |
430950.hp3 |
430950hp6 |
430950.hp |
430950hp |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{14} \cdot 13^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$53040$ |
$768$ |
$13$ |
$6.955022651$ |
$1$ |
|
$2$ |
$56623104$ |
$3.227360$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$4.88014$ |
$[1, 0, 0, -30504588, -60731598708]$ |
\(y^2+xy=x^3-30504588x-60731598708\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 136.96.1.?, 240.96.1.?, $\ldots$ |
$[(156988/3, 58389518/3)]$ |
490110.dd3 |
490110dd5 |
490110.dd |
490110dd |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 31^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{8} \cdot 17^{2} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$126480$ |
$768$ |
$13$ |
$2.087248844$ |
$1$ |
|
$6$ |
$29491200$ |
$2.857159$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$4.49318$ |
$[1, 0, 0, -6938440, 6587239100]$ |
\(y^2+xy=x^3-6938440x+6587239100\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 124.24.0.?, 136.96.1.?, $\ldots$ |
$[(980, 26510)]$ |
493680.ha3 |
493680ha6 |
493680.ha |
493680ha |
$8$ |
$16$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{8} \cdot 11^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.91 |
2Cs |
$44880$ |
$768$ |
$13$ |
$1.283506297$ |
$1$ |
|
$13$ |
$31457280$ |
$3.032261$ |
$41623544884956481/2962701562500$ |
$1.00549$ |
$4.65097$ |
$[0, 1, 0, -13977960, -18841778892]$ |
\(y^2=x^3+x^2-13977960x-18841778892\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.2, 44.24.0-4.b.1.3, 88.96.0.?, $\ldots$ |
$[(-2514, 20400)]$ |