| 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 |
| 7840.a1 |
7840u1 |
7840.a |
7840u |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 5 \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.342270972$ |
$1$ |
|
$4$ |
$9216$ |
$0.646172$ |
$13824/35$ |
$0.66491$ |
$3.42855$ |
$[0, 0, 0, 392, 5488]$ |
\(y^2=x^3+392x+5488\) |
70.2.0.a.1 |
$[(28, 196)]$ |
| 7840.b1 |
7840o1 |
7840.b |
7840o |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 5^{11} \cdot 7^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.346143400$ |
$1$ |
|
$4$ |
$506880$ |
$2.638630$ |
$722603599520256/820654296875$ |
$1.08491$ |
$6.04518$ |
$[0, 0, 0, 1465688, -670046384]$ |
\(y^2=x^3+1465688x-670046384\) |
70.2.0.a.1 |
$[(3752, 240100)]$ |
| 7840.c1 |
7840f1 |
7840.c |
7840f |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{9} \cdot 5 \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$672$ |
$-0.304685$ |
$-19208/5$ |
$0.86529$ |
$2.27107$ |
$[0, 1, 0, -16, -36]$ |
\(y^2=x^3+x^2-16x-36\) |
40.2.0.a.1 |
$[]$ |
| 7840.d1 |
7840v1 |
7840.d |
7840v |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{9} \cdot 5 \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$3.246057500$ |
$1$ |
|
$2$ |
$4704$ |
$0.668270$ |
$-19208/5$ |
$0.86529$ |
$3.57312$ |
$[0, 1, 0, -800, -10760]$ |
\(y^2=x^3+x^2-800x-10760\) |
40.2.0.a.1 |
$[(34, 50)]$ |
| 7840.e1 |
7840y1 |
7840.e |
7840y |
$2$ |
$2$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 5 \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2880$ |
$0.266910$ |
$438976/5$ |
$0.87813$ |
$3.21474$ |
$[0, 1, 0, -310, 1980]$ |
\(y^2=x^3+x^2-310x+1980\) |
2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.12.0.e.1, 40.24.0.br.1, $\ldots$ |
$[]$ |
| 7840.e2 |
7840y2 |
7840.e |
7840y |
$2$ |
$2$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 5^{2} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5760$ |
$0.613483$ |
$-64/25$ |
$1.09219$ |
$3.42013$ |
$[0, 1, 0, -65, 5263]$ |
\(y^2=x^3+x^2-65x+5263\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0.d.1, 40.24.0.t.1, 56.12.0-4.a.1.1, $\ldots$ |
$[]$ |
| 7840.f1 |
7840r1 |
7840.f |
7840r |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 5^{5} \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1.455461685$ |
$1$ |
|
$4$ |
$15360$ |
$1.179249$ |
$1124864/21875$ |
$0.91387$ |
$4.17206$ |
$[0, -1, 0, 1699, 153301]$ |
\(y^2=x^3-x^2+1699x+153301\) |
70.2.0.a.1 |
$[(-37, 196)]$ |
| 7840.g1 |
7840b1 |
7840.g |
7840b |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 5^{3} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$0.338302843$ |
$1$ |
|
$6$ |
$8064$ |
$1.090929$ |
$-153664/125$ |
$1.04461$ |
$4.09339$ |
$[0, -1, 0, -3201, 109201]$ |
\(y^2=x^3-x^2-3201x+109201\) |
20.2.0.a.1 |
$[(33, 196)]$ |
| 7840.h1 |
7840e1 |
7840.h |
7840e |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 5^{3} \cdot 7^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$64512$ |
$1.897680$ |
$-88478050816/102942875$ |
$0.97384$ |
$5.16353$ |
$[0, -1, 0, -72781, 13137125]$ |
\(y^2=x^3-x^2-72781x+13137125\) |
70.2.0.a.1 |
$[]$ |
| 7840.i1 |
7840l1 |
7840.i |
7840l |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 5 \cdot 7^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1.059225691$ |
$1$ |
|
$4$ |
$9216$ |
$1.002562$ |
$-6229504/1715$ |
$0.82351$ |
$4.01775$ |
$[0, -1, 0, -3005, 78037]$ |
\(y^2=x^3-x^2-3005x+78037\) |
70.2.0.a.1 |
$[(47, 196)]$ |
| 7840.j1 |
7840k1 |
7840.j |
7840k |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 5^{3} \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1.374423372$ |
$1$ |
|
$4$ |
$9216$ |
$1.142178$ |
$-738763264/875$ |
$0.89330$ |
$4.50717$ |
$[0, -1, 0, -14765, -686363]$ |
\(y^2=x^3-x^2-14765x-686363\) |
70.2.0.a.1 |
$[(159, 980)]$ |
| 7840.k1 |
7840m1 |
7840.k |
7840m |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 5^{3} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$0.157391746$ |
$1$ |
|
$6$ |
$1152$ |
$0.117974$ |
$-153664/125$ |
$1.04461$ |
$2.79134$ |
$[0, -1, 0, -65, 337]$ |
\(y^2=x^3-x^2-65x+337\) |
20.2.0.a.1 |
$[(9, 20)]$ |
| 7840.l1 |
7840q3 |
7840.l |
7840q |
$4$ |
$4$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 5^{2} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.231 |
2B |
$560$ |
$192$ |
$3$ |
$2.584509699$ |
$1$ |
|
$3$ |
$36864$ |
$1.748981$ |
$481927184300808/1225$ |
$1.08132$ |
$5.76811$ |
$[0, 0, 0, -640283, 197199618]$ |
\(y^2=x^3-640283x+197199618\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.y.1, 16.48.0-8.y.1.4, 28.12.0-4.c.1.1, $\ldots$ |
$[(14, 13720)]$ |
| 7840.l2 |
7840q2 |
7840.l |
7840q |
$4$ |
$4$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 5^{2} \cdot 7^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.231 |
2B |
$560$ |
$192$ |
$3$ |
$2.584509699$ |
$1$ |
|
$3$ |
$36864$ |
$1.748981$ |
$262389836808/144120025$ |
$1.06498$ |
$4.92996$ |
$[0, 0, 0, -52283, 1037918]$ |
\(y^2=x^3-52283x+1037918\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.y.1, 16.48.0-8.y.1.4, 28.12.0-4.c.1.2, $\ldots$ |
$[(329, 4410)]$ |
| 7840.l3 |
7840q1 |
7840.l |
7840q |
$4$ |
$4$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 5^{4} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.153 |
2Cs |
$560$ |
$192$ |
$3$ |
$5.169019399$ |
$1$ |
|
$5$ |
$18432$ |
$1.402409$ |
$942344950464/1500625$ |
$1.16391$ |
$4.84064$ |
$[0, 0, 0, -40033, 3078768]$ |
\(y^2=x^3-40033x+3078768\) |
2.6.0.a.1, 4.12.0.a.1, 8.48.0-8.a.1.4, 28.24.0-4.a.1.1, 56.96.1-56.c.1.4, $\ldots$ |
$[(281, 3744)]$ |
| 7840.l4 |
7840q4 |
7840.l |
7840q |
$4$ |
$4$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 5^{8} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.189 |
2B |
$560$ |
$192$ |
$3$ |
$2.584509699$ |
$1$ |
|
$5$ |
$36864$ |
$1.748981$ |
$-5053029696/19140625$ |
$1.12450$ |
$4.94675$ |
$[0, 0, 0, -28028, 4961152]$ |
\(y^2=x^3-28028x+4961152\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0-8.x.1.4, 28.24.0-4.d.1.1, 56.96.1-56.ep.1.4, $\ldots$ |
$[(-126, 2548)]$ |
| 7840.m1 |
7840p2 |
7840.m |
7840p |
$4$ |
$4$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 5^{2} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.231 |
2B |
$560$ |
$192$ |
$3$ |
$5.615280547$ |
$1$ |
|
$3$ |
$36864$ |
$1.748981$ |
$481927184300808/1225$ |
$1.08132$ |
$5.76811$ |
$[0, 0, 0, -640283, -197199618]$ |
\(y^2=x^3-640283x-197199618\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.y.1, 16.48.0-8.y.1.4, 28.12.0-4.c.1.2, $\ldots$ |
$[(22281, 3323670)]$ |
| 7840.m2 |
7840p3 |
7840.m |
7840p |
$4$ |
$4$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 5^{2} \cdot 7^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.231 |
2B |
$560$ |
$192$ |
$3$ |
$5.615280547$ |
$1$ |
|
$1$ |
$36864$ |
$1.748981$ |
$262389836808/144120025$ |
$1.06498$ |
$4.92996$ |
$[0, 0, 0, -52283, -1037918]$ |
\(y^2=x^3-52283x-1037918\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.y.1, 16.48.0-8.y.1.4, 28.12.0-4.c.1.1, $\ldots$ |
$[(-2079/4, 120785/4)]$ |
| 7840.m3 |
7840p1 |
7840.m |
7840p |
$4$ |
$4$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 5^{4} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.153 |
2Cs |
$560$ |
$192$ |
$3$ |
$11.23056109$ |
$1$ |
|
$3$ |
$18432$ |
$1.402409$ |
$942344950464/1500625$ |
$1.16391$ |
$4.84064$ |
$[0, 0, 0, -40033, -3078768]$ |
\(y^2=x^3-40033x-3078768\) |
2.6.0.a.1, 4.12.0.a.1, 8.48.0-8.a.1.4, 28.24.0-4.a.1.1, 56.96.1-56.c.1.4, $\ldots$ |
$[(73257/17, 8595600/17)]$ |
| 7840.m4 |
7840p4 |
7840.m |
7840p |
$4$ |
$4$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 5^{8} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.189 |
2B |
$560$ |
$192$ |
$3$ |
$5.615280547$ |
$1$ |
|
$3$ |
$36864$ |
$1.748981$ |
$-5053029696/19140625$ |
$1.12450$ |
$4.94675$ |
$[0, 0, 0, -28028, -4961152]$ |
\(y^2=x^3-28028x-4961152\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0-8.x.1.4, 28.24.0-4.d.1.1, 56.96.1-56.ep.1.4, $\ldots$ |
$[(802, 22100)]$ |
| 7840.n1 |
7840w3 |
7840.n |
7840w |
$4$ |
$4$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( 2^{12} \cdot 5 \cdot 7^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$9216$ |
$0.962122$ |
$179406144/35$ |
$0.91443$ |
$4.34910$ |
$[0, 0, 0, -9212, 340256]$ |
\(y^2=x^3-9212x+340256\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.y.1.15, 56.24.0-56.y.1.2, 140.24.0.?, $\ldots$ |
$[]$ |
| 7840.n2 |
7840w2 |
7840.n |
7840w |
$4$ |
$4$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 5^{4} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.962122$ |
$123505992/4375$ |
$0.97359$ |
$4.07557$ |
$[0, 0, 0, -4067, -96726]$ |
\(y^2=x^3-4067x-96726\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.y.1.7, 56.24.0-56.s.1.1, 280.48.0.? |
$[]$ |
| 7840.n3 |
7840w1 |
7840.n |
7840w |
$4$ |
$4$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 5^{2} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$4608$ |
$0.615548$ |
$3796416/1225$ |
$0.97255$ |
$3.45533$ |
$[0, 0, 0, -637, 4116]$ |
\(y^2=x^3-637x+4116\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.b.1.5, 56.24.0-56.b.1.2, 140.24.0.?, $\ldots$ |
$[]$ |
| 7840.n4 |
7840w4 |
7840.n |
7840w |
$4$ |
$4$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{9} \cdot 5 \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.962122$ |
$10941048/12005$ |
$0.90537$ |
$3.80527$ |
$[0, 0, 0, 1813, 28126]$ |
\(y^2=x^3+1813x+28126\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.s.1.7, 56.24.0-56.y.1.5, $\ldots$ |
$[]$ |
| 7840.o1 |
7840h2 |
7840.o |
7840h |
$4$ |
$4$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( 2^{12} \cdot 5 \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$280$ |
$48$ |
$0$ |
$8.994534526$ |
$1$ |
|
$1$ |
$9216$ |
$0.962122$ |
$179406144/35$ |
$0.91443$ |
$4.34910$ |
$[0, 0, 0, -9212, -340256]$ |
\(y^2=x^3-9212x-340256\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.y.1.7, 56.24.0-56.y.1.10, 140.24.0.?, $\ldots$ |
$[(-32135/24, 80333/24)]$ |
| 7840.o2 |
7840h3 |
7840.o |
7840h |
$4$ |
$4$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( 2^{9} \cdot 5^{4} \cdot 7^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$280$ |
$48$ |
$0$ |
$2.248633631$ |
$1$ |
|
$7$ |
$9216$ |
$0.962122$ |
$123505992/4375$ |
$0.97359$ |
$4.07557$ |
$[0, 0, 0, -4067, 96726]$ |
\(y^2=x^3-4067x+96726\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.y.1.15, 56.24.0-56.s.1.4, 280.48.0.? |
$[(-3, 330)]$ |
| 7840.o3 |
7840h1 |
7840.o |
7840h |
$4$ |
$4$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 5^{2} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$280$ |
$48$ |
$0$ |
$4.497267263$ |
$1$ |
|
$5$ |
$4608$ |
$0.615548$ |
$3796416/1225$ |
$0.97255$ |
$3.45533$ |
$[0, 0, 0, -637, -4116]$ |
\(y^2=x^3-637x-4116\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.b.1.5, 56.24.0-56.b.1.1, 140.24.0.?, $\ldots$ |
$[(875, 25872)]$ |
| 7840.o4 |
7840h4 |
7840.o |
7840h |
$4$ |
$4$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{9} \cdot 5 \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$280$ |
$48$ |
$0$ |
$8.994534526$ |
$1$ |
|
$1$ |
$9216$ |
$0.962122$ |
$10941048/12005$ |
$0.90537$ |
$3.80527$ |
$[0, 0, 0, 1813, -28126]$ |
\(y^2=x^3+1813x-28126\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.s.1.7, 56.24.0-56.y.1.13, $\ldots$ |
$[(7870/3, 698984/3)]$ |
| 7840.p1 |
7840d1 |
7840.p |
7840d |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 5^{3} \cdot 7^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$64512$ |
$1.897680$ |
$-88478050816/102942875$ |
$0.97384$ |
$5.16353$ |
$[0, 1, 0, -72781, -13137125]$ |
\(y^2=x^3+x^2-72781x-13137125\) |
70.2.0.a.1 |
$[]$ |
| 7840.q1 |
7840a1 |
7840.q |
7840a |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 5^{3} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$3.806744110$ |
$1$ |
|
$2$ |
$8064$ |
$1.090929$ |
$-153664/125$ |
$1.04461$ |
$4.09339$ |
$[0, 1, 0, -3201, -109201]$ |
\(y^2=x^3+x^2-3201x-109201\) |
20.2.0.a.1 |
$[(115, 1028)]$ |
| 7840.r1 |
7840c1 |
7840.r |
7840c |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 5^{5} \cdot 7^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15360$ |
$1.179249$ |
$1124864/21875$ |
$0.91387$ |
$4.17206$ |
$[0, 1, 0, 1699, -153301]$ |
\(y^2=x^3+x^2+1699x-153301\) |
70.2.0.a.1 |
$[]$ |
| 7840.s1 |
7840j1 |
7840.s |
7840j |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 5^{3} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$0.517983261$ |
$1$ |
|
$4$ |
$1152$ |
$0.117974$ |
$-153664/125$ |
$1.04461$ |
$2.79134$ |
$[0, 1, 0, -65, -337]$ |
\(y^2=x^3+x^2-65x-337\) |
20.2.0.a.1 |
$[(11, 20)]$ |
| 7840.t1 |
7840x1 |
7840.t |
7840x |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 5 \cdot 7^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9216$ |
$1.002562$ |
$-6229504/1715$ |
$0.82351$ |
$4.01775$ |
$[0, 1, 0, -3005, -78037]$ |
\(y^2=x^3+x^2-3005x-78037\) |
70.2.0.a.1 |
$[]$ |
| 7840.u1 |
7840i1 |
7840.u |
7840i |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 5^{3} \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.233007425$ |
$1$ |
|
$4$ |
$9216$ |
$1.142178$ |
$-738763264/875$ |
$0.89330$ |
$4.50717$ |
$[0, 1, 0, -14765, 686363]$ |
\(y^2=x^3+x^2-14765x+686363\) |
70.2.0.a.1 |
$[(-19, 980)]$ |
| 7840.v1 |
7840s1 |
7840.v |
7840s |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{9} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$0.863280008$ |
$1$ |
|
$2$ |
$672$ |
$-0.304685$ |
$-19208/5$ |
$0.86529$ |
$2.27107$ |
$[0, -1, 0, -16, 36]$ |
\(y^2=x^3-x^2-16x+36\) |
40.2.0.a.1 |
$[(0, 6)]$ |
| 7840.w1 |
7840n1 |
7840.w |
7840n |
$2$ |
$2$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 5 \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$280$ |
$48$ |
$0$ |
$5.344930797$ |
$1$ |
|
$1$ |
$2880$ |
$0.266910$ |
$438976/5$ |
$0.87813$ |
$3.21474$ |
$[0, -1, 0, -310, -1980]$ |
\(y^2=x^3-x^2-310x-1980\) |
2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.12.0.e.1, 40.24.0.br.1, $\ldots$ |
$[(208/3, 1394/3)]$ |
| 7840.w2 |
7840n2 |
7840.w |
7840n |
$2$ |
$2$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 5^{2} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$280$ |
$48$ |
$0$ |
$2.672465398$ |
$1$ |
|
$3$ |
$5760$ |
$0.613483$ |
$-64/25$ |
$1.09219$ |
$3.42013$ |
$[0, -1, 0, -65, -5263]$ |
\(y^2=x^3-x^2-65x-5263\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0.d.1, 40.24.0.t.1, 56.12.0-4.a.1.1, $\ldots$ |
$[(37, 204)]$ |
| 7840.x1 |
7840g1 |
7840.x |
7840g |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{9} \cdot 5 \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4704$ |
$0.668270$ |
$-19208/5$ |
$0.86529$ |
$3.57312$ |
$[0, -1, 0, -800, 10760]$ |
\(y^2=x^3-x^2-800x+10760\) |
40.2.0.a.1 |
$[]$ |
| 7840.y1 |
7840t1 |
7840.y |
7840t |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 5 \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$2.563357603$ |
$1$ |
|
$0$ |
$9216$ |
$0.646172$ |
$13824/35$ |
$0.66491$ |
$3.42855$ |
$[0, 0, 0, 392, -5488]$ |
\(y^2=x^3+392x-5488\) |
70.2.0.a.1 |
$[(112/3, 980/3)]$ |
| 7840.z1 |
7840z1 |
7840.z |
7840z |
$1$ |
$1$ |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
\( - 2^{12} \cdot 5^{11} \cdot 7^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$506880$ |
$2.638630$ |
$722603599520256/820654296875$ |
$1.08491$ |
$6.04518$ |
$[0, 0, 0, 1465688, 670046384]$ |
\(y^2=x^3+1465688x+670046384\) |
70.2.0.a.1 |
$[]$ |
