| 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 |
| 67280.a1 |
67280q3 |
67280.a |
67280q |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{4} \cdot 5^{3} \cdot 29^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$3480$ |
$384$ |
$9$ |
$8.021500225$ |
$1$ |
|
$5$ |
$145152$ |
$1.303003$ |
$488095744/125$ |
$1.07376$ |
$3.86650$ |
$[0, 1, 0, -34761, 2482414]$ |
\(y^2=x^3+x^2-34761x+2482414\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$ |
$[(-10, 1682), (42, 1048)]$ |
| 67280.a2 |
67280q4 |
67280.a |
67280q |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( - 2^{8} \cdot 5^{6} \cdot 29^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$3480$ |
$384$ |
$9$ |
$8.021500225$ |
$1$ |
|
$5$ |
$290304$ |
$1.649578$ |
$-20720464/15625$ |
$0.95894$ |
$3.90675$ |
$[0, 1, 0, -30556, 3109800]$ |
\(y^2=x^3+x^2-30556x+3109800\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ |
$[(251, 3364), (287, 4250)]$ |
| 67280.a3 |
67280q1 |
67280.a |
67280q |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{4} \cdot 5 \cdot 29^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$3480$ |
$384$ |
$9$ |
$8.021500225$ |
$1$ |
|
$3$ |
$48384$ |
$0.753697$ |
$16384/5$ |
$0.95621$ |
$2.93978$ |
$[0, 1, 0, -1121, -10310]$ |
\(y^2=x^3+x^2-1121x-10310\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 10.6.0.a.1, $\ldots$ |
$[(221/2, 2523/2), (-26, 44)]$ |
| 67280.a4 |
67280q2 |
67280.a |
67280q |
$4$ |
$6$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( - 2^{8} \cdot 5^{2} \cdot 29^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$3480$ |
$384$ |
$9$ |
$8.021500225$ |
$1$ |
|
$5$ |
$96768$ |
$1.100271$ |
$21296/25$ |
$0.83964$ |
$3.21531$ |
$[0, 1, 0, 3084, -65816]$ |
\(y^2=x^3+x^2+3084x-65816\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ |
$[(135, 1682), (199, 2910)]$ |
| 67280.b1 |
67280e2 |
67280.b |
67280e |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{8} \cdot 5^{4} \cdot 29^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.2 |
2B |
$1160$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1039360$ |
$2.213989$ |
$1102736/625$ |
$0.89642$ |
$4.47655$ |
$[0, 1, 0, -333316, -10746516]$ |
\(y^2=x^3+x^2-333316x-10746516\) |
2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.24.0.?, $\ldots$ |
$[]$ |
| 67280.b2 |
67280e1 |
67280.b |
67280e |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 29^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.2 |
2B |
$1160$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$519680$ |
$1.867414$ |
$4499456/25$ |
$0.98947$ |
$4.35364$ |
$[0, 1, 0, -211371, 37153480]$ |
\(y^2=x^3+x^2-211371x+37153480\) |
2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.24.0.?, $\ldots$ |
$[]$ |
| 67280.c1 |
67280c2 |
67280.c |
67280c |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{8} \cdot 5 \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$580$ |
$12$ |
$0$ |
$4.274660288$ |
$1$ |
|
$3$ |
$215040$ |
$1.556797$ |
$20720464/4205$ |
$0.76987$ |
$3.83170$ |
$[0, 1, 0, -30556, 1646460]$ |
\(y^2=x^3+x^2-30556x+1646460\) |
2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.? |
$[(54, 396)]$ |
| 67280.c2 |
67280c1 |
67280.c |
67280c |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$580$ |
$12$ |
$0$ |
$8.549320576$ |
$1$ |
|
$1$ |
$107520$ |
$1.210222$ |
$10061824/725$ |
$0.77107$ |
$3.51731$ |
$[0, 1, 0, -9531, -338300]$ |
\(y^2=x^3+x^2-9531x-338300\) |
2.3.0.a.1, 20.6.0.c.1, 58.6.0.a.1, 580.12.0.? |
$[(-5024/9, 98054/9)]$ |
| 67280.d1 |
67280p2 |
67280.d |
67280p |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{15} \cdot 5^{12} \cdot 29^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$27060480$ |
$4.008842$ |
$14258975033569/1953125000$ |
$1.02226$ |
$6.50190$ |
$[0, 1, 0, -605668296, 5012247371380]$ |
\(y^2=x^3+x^2-605668296x+5012247371380\) |
3.4.0.a.1, 8.2.0.b.1, 24.8.0.b.1, 348.8.0.?, 696.16.0.? |
$[]$ |
| 67280.d2 |
67280p1 |
67280.d |
67280p |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{21} \cdot 5^{4} \cdot 29^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$9020160$ |
$3.459534$ |
$229895296609/320000$ |
$0.99384$ |
$6.13061$ |
$[0, 1, 0, -153008456, -727660463756]$ |
\(y^2=x^3+x^2-153008456x-727660463756\) |
3.4.0.a.1, 8.2.0.b.1, 24.8.0.b.1, 348.8.0.?, 696.16.0.? |
$[]$ |
| 67280.e1 |
67280h1 |
67280.e |
67280h |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{11} \cdot 5^{4} \cdot 29^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$0.350325647$ |
$1$ |
|
$20$ |
$26880$ |
$0.428813$ |
$1414562/625$ |
$1.05374$ |
$2.56567$ |
$[0, 1, 0, -280, -972]$ |
\(y^2=x^3+x^2-280x-972\) |
8.2.0.b.1 |
$[(-14, 20), (26, 100)]$ |
| 67280.f1 |
67280t2 |
67280.f |
67280t |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( - 2^{13} \cdot 5^{6} \cdot 29^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$4.347128858$ |
$1$ |
|
$2$ |
$2255040$ |
$2.615746$ |
$-2841193249/31250$ |
$0.91558$ |
$5.13128$ |
$[0, -1, 0, -3747776, 2820261760]$ |
\(y^2=x^3-x^2-3747776x+2820261760\) |
3.4.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.2, 24.16.0-24.a.1.7 |
$[(1233, 8500)]$ |
| 67280.f2 |
67280t1 |
67280.f |
67280t |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( - 2^{15} \cdot 5^{2} \cdot 29^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$1.449042952$ |
$1$ |
|
$2$ |
$751680$ |
$2.066441$ |
$198911/200$ |
$0.81432$ |
$4.26899$ |
$[0, -1, 0, 154464, 20014336]$ |
\(y^2=x^3-x^2+154464x+20014336\) |
3.4.0.a.1, 8.2.0.a.1, 12.8.0-3.a.1.1, 24.16.0-24.a.1.5 |
$[(561, 16820)]$ |
| 67280.g1 |
67280s1 |
67280.g |
67280s |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( - 2^{13} \cdot 5^{3} \cdot 29^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$0.959942410$ |
$1$ |
|
$4$ |
$876960$ |
$2.094662$ |
$-268569/250$ |
$0.83664$ |
$4.38225$ |
$[0, 0, 0, -170723, -43851422]$ |
\(y^2=x^3-170723x-43851422\) |
40.2.0.a.1 |
$[(841, 20184)]$ |
| 67280.h1 |
67280n1 |
67280.h |
67280n |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( - 2^{13} \cdot 5^{3} \cdot 29^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30240$ |
$0.411015$ |
$-268569/250$ |
$0.83664$ |
$2.56481$ |
$[0, 0, 0, -203, -1798]$ |
\(y^2=x^3-203x-1798\) |
40.2.0.a.1 |
$[]$ |
| 67280.i1 |
67280j1 |
67280.i |
67280j |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 29^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$80640$ |
$1.178999$ |
$3538944/725$ |
$0.87494$ |
$3.42332$ |
$[0, 0, 0, -6728, 170723]$ |
\(y^2=x^3-6728x+170723\) |
2.3.0.a.1, 20.6.0.b.1, 58.6.0.a.1, 580.12.0.? |
$[]$ |
| 67280.i2 |
67280j2 |
67280.i |
67280j |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( - 2^{8} \cdot 5 \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$580$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$161280$ |
$1.525574$ |
$2122416/4205$ |
$0.84263$ |
$3.70637$ |
$[0, 0, 0, 14297, 1024338]$ |
\(y^2=x^3+14297x+1024338\) |
2.3.0.a.1, 20.6.0.a.1, 116.6.0.?, 580.12.0.? |
$[]$ |
| 67280.j1 |
67280l1 |
67280.j |
67280l |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{12} \cdot 5 \cdot 29^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$215040$ |
$1.540295$ |
$2146689/145$ |
$0.84440$ |
$3.87717$ |
$[0, 0, 0, -36163, -2487678]$ |
\(y^2=x^3-36163x-2487678\) |
2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.4, 232.12.0.?, 290.6.0.?, $\ldots$ |
$[]$ |
| 67280.j2 |
67280l2 |
67280.j |
67280l |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( - 2^{12} \cdot 5^{2} \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$430080$ |
$1.886868$ |
$1367631/21025$ |
$0.96200$ |
$4.12818$ |
$[0, 0, 0, 31117, -10682382]$ |
\(y^2=x^3+31117x-10682382\) |
2.3.0.a.1, 4.6.0.a.1, 40.12.0-4.a.1.2, 232.12.0.?, 580.12.0.?, $\ldots$ |
$[]$ |
| 67280.k1 |
67280k1 |
67280.k |
67280k |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{20} \cdot 5^{3} \cdot 29^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$967680$ |
$2.306168$ |
$38238692409/928000$ |
$0.97733$ |
$4.75762$ |
$[0, 0, 0, -944443, 345787242]$ |
\(y^2=x^3-944443x+345787242\) |
2.3.0.a.1, 4.6.0.b.1, 40.12.0-4.b.1.4, 232.12.0.?, 290.6.0.?, $\ldots$ |
$[]$ |
| 67280.k2 |
67280k2 |
67280.k |
67280k |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( - 2^{16} \cdot 5^{6} \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1935360$ |
$2.652740$ |
$104487111/210250000$ |
$1.06799$ |
$4.96012$ |
$[0, 0, 0, 132037, 1088773738]$ |
\(y^2=x^3+132037x+1088773738\) |
2.3.0.a.1, 4.6.0.a.1, 40.12.0-4.a.1.2, 232.12.0.?, 580.12.0.?, $\ldots$ |
$[]$ |
| 67280.l1 |
67280m1 |
67280.l |
67280m |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{31} \cdot 5^{2} \cdot 29^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$22216320$ |
$3.885494$ |
$100709966211849/13107200$ |
$1.07219$ |
$6.67775$ |
$[0, 0, 0, -1162062683, 15245567851018]$ |
\(y^2=x^3-1162062683x+15245567851018\) |
8.2.0.b.1 |
$[]$ |
| 67280.m1 |
67280r1 |
67280.m |
67280r |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{31} \cdot 5^{2} \cdot 29^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$5.201529538$ |
$1$ |
|
$2$ |
$766080$ |
$2.201843$ |
$100709966211849/13107200$ |
$1.07219$ |
$4.86031$ |
$[0, 0, 0, -1381763, 625100162]$ |
\(y^2=x^3-1381763x+625100162\) |
8.2.0.b.1 |
$[(526, 6620)]$ |
| 67280.n1 |
67280z2 |
67280.n |
67280z |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{14} \cdot 5^{2} \cdot 29^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$75264$ |
$0.957490$ |
$1089547389/100$ |
$1.23861$ |
$3.52883$ |
$[0, 0, 0, -9947, -381814]$ |
\(y^2=x^3-9947x-381814\) |
2.3.0.a.1, 20.6.0.d.1, 58.6.0.a.1, 580.12.0.? |
$[]$ |
| 67280.n2 |
67280z1 |
67280.n |
67280z |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{16} \cdot 5 \cdot 29^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$37632$ |
$0.610917$ |
$328509/80$ |
$0.94977$ |
$2.79959$ |
$[0, 0, 0, -667, -5046]$ |
\(y^2=x^3-667x-5046\) |
2.3.0.a.1, 20.6.0.d.1, 116.6.0.?, 290.6.0.?, 580.12.0.? |
$[]$ |
| 67280.o1 |
67280y2 |
67280.o |
67280y |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{14} \cdot 5^{2} \cdot 29^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2182656$ |
$2.641140$ |
$1089547389/100$ |
$1.23861$ |
$5.34627$ |
$[0, 0, 0, -8365427, -9312061646]$ |
\(y^2=x^3-8365427x-9312061646\) |
2.3.0.a.1, 20.6.0.d.1, 58.6.0.a.1, 580.12.0.? |
$[]$ |
| 67280.o2 |
67280y1 |
67280.o |
67280y |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{16} \cdot 5 \cdot 29^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1091328$ |
$2.294563$ |
$328509/80$ |
$0.94977$ |
$4.61703$ |
$[0, 0, 0, -560947, -123066894]$ |
\(y^2=x^3-560947x-123066894\) |
2.3.0.a.1, 20.6.0.d.1, 116.6.0.?, 290.6.0.?, 580.12.0.? |
$[]$ |
| 67280.p1 |
67280x1 |
67280.p |
67280x |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{25} \cdot 5^{6} \cdot 29^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6514560$ |
$3.239506$ |
$1732187934441/128000000$ |
$1.00882$ |
$5.70646$ |
$[0, 0, 0, -31778867, -64400764174]$ |
\(y^2=x^3-31778867x-64400764174\) |
8.2.0.b.1 |
$[]$ |
| 67280.q1 |
67280v1 |
67280.q |
67280v |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{25} \cdot 5^{6} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$0.742692188$ |
$1$ |
|
$4$ |
$224640$ |
$1.555857$ |
$1732187934441/128000000$ |
$1.00882$ |
$3.88902$ |
$[0, 0, 0, -37787, -2640566]$ |
\(y^2=x^3-37787x-2640566\) |
8.2.0.b.1 |
$[(573, 12800)]$ |
| 67280.r1 |
67280f4 |
67280.r |
67280f |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{10} \cdot 5^{8} \cdot 29^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.52 |
2B |
$2320$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$860160$ |
$2.333050$ |
$61085802564/11328125$ |
$1.13030$ |
$4.67505$ |
$[0, 0, 0, -695507, 184039394]$ |
\(y^2=x^3-695507x+184039394\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.8, 58.6.0.a.1, 80.48.0.?, $\ldots$ |
$[]$ |
| 67280.r2 |
67280f2 |
67280.r |
67280f |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{8} \cdot 5^{4} \cdot 29^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.4 |
2Cs |
$1160$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$3$ |
$430080$ |
$1.986477$ |
$6509904336/525625$ |
$0.99437$ |
$4.34894$ |
$[0, 0, 0, -207727, -33803154]$ |
\(y^2=x^3-207727x-33803154\) |
2.6.0.a.1, 4.24.0-4.a.1.2, 40.48.0-40.k.1.5, 116.48.0.?, 232.96.0.?, $\ldots$ |
$[]$ |
| 67280.r3 |
67280f1 |
67280.r |
67280f |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 29^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.62 |
2B |
$2320$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$1$ |
$215040$ |
$1.639904$ |
$97960237056/725$ |
$1.25304$ |
$4.34342$ |
$[0, 0, 0, -203522, -35339661]$ |
\(y^2=x^3-203522x-35339661\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.6, 58.6.0.a.1, 80.48.0.?, $\ldots$ |
$[]$ |
| 67280.r4 |
67280f3 |
67280.r |
67280f |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( - 2^{10} \cdot 5^{2} \cdot 29^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.68 |
2B |
$2320$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$1$ |
$860160$ |
$2.333050$ |
$1748981916/17682025$ |
$0.95607$ |
$4.60743$ |
$[0, 0, 0, 212773, -153309254]$ |
\(y^2=x^3+212773x-153309254\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0-4.d.1.3, 20.24.0.d.1, 40.48.0-20.d.1.6, $\ldots$ |
$[]$ |
| 67280.s1 |
67280w1 |
67280.s |
67280w |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{4} \cdot 5^{3} \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$580$ |
$12$ |
$0$ |
$4.463906505$ |
$1$ |
|
$3$ |
$241920$ |
$1.572836$ |
$226492416/105125$ |
$1.15496$ |
$3.79743$ |
$[0, 0, 0, -26912, 756059]$ |
\(y^2=x^3-26912x+756059\) |
2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.? |
$[(-167, 770)]$ |
| 67280.s2 |
67280w2 |
67280.s |
67280w |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( - 2^{8} \cdot 5^{6} \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$580$ |
$12$ |
$0$ |
$8.927813010$ |
$1$ |
|
$1$ |
$483840$ |
$1.919409$ |
$623331504/453125$ |
$1.02485$ |
$4.13791$ |
$[0, 0, 0, 95033, 5707026]$ |
\(y^2=x^3+95033x+5707026\) |
2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 580.12.0.? |
$[(-8343/14, 3454275/14)]$ |
| 67280.t1 |
67280g4 |
67280.t |
67280g |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{10} \cdot 5 \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$2320$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$200704$ |
$1.481434$ |
$132304644/5$ |
$1.13632$ |
$4.12318$ |
$[0, 0, 0, -89987, 10389714]$ |
\(y^2=x^3-89987x+10389714\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 16.24.0.i.1, $\ldots$ |
$[]$ |
| 67280.t2 |
67280g2 |
67280.t |
67280g |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.35 |
2Cs |
$1160$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$3$ |
$100352$ |
$1.134861$ |
$148176/25$ |
$1.09175$ |
$3.38728$ |
$[0, 0, 0, -5887, 146334]$ |
\(y^2=x^3-5887x+146334\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 20.24.0.b.1, 40.96.3.bk.1, $\ldots$ |
$[]$ |
| 67280.t3 |
67280g1 |
67280.t |
67280g |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{4} \cdot 5 \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$2320$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$1$ |
$50176$ |
$0.788287$ |
$55296/5$ |
$1.01898$ |
$3.04920$ |
$[0, 0, 0, -1682, -24389]$ |
\(y^2=x^3-1682x-24389\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 16.24.0.i.1, $\ldots$ |
$[]$ |
| 67280.t4 |
67280g3 |
67280.t |
67280g |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( - 2^{10} \cdot 5^{4} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.2 |
2B |
$2320$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$200704$ |
$1.481434$ |
$237276/625$ |
$1.04671$ |
$3.66835$ |
$[0, 0, 0, 10933, 829226]$ |
\(y^2=x^3+10933x+829226\) |
2.3.0.a.1, 4.24.0.c.1, 40.48.1.dk.1, 80.96.3.?, 116.48.0.?, $\ldots$ |
$[]$ |
| 67280.u1 |
67280o2 |
67280.u |
67280o |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( - 2^{13} \cdot 5^{6} \cdot 29^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$1.255329274$ |
$1$ |
|
$10$ |
$77760$ |
$0.932098$ |
$-2841193249/31250$ |
$0.91558$ |
$3.31384$ |
$[0, 1, 0, -4456, 114100]$ |
\(y^2=x^3+x^2-4456x+114100\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 348.8.0.?, 696.16.0.? |
$[(12, 250), (358/3, 1000/3)]$ |
| 67280.u2 |
67280o1 |
67280.u |
67280o |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( - 2^{15} \cdot 5^{2} \cdot 29^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$1.255329274$ |
$1$ |
|
$8$ |
$25920$ |
$0.382792$ |
$198911/200$ |
$0.81432$ |
$2.45155$ |
$[0, 1, 0, 184, 884]$ |
\(y^2=x^3+x^2+184x+884\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 348.8.0.?, 696.16.0.? |
$[(14, 80), (44, 310)]$ |
| 67280.v1 |
67280b2 |
67280.v |
67280b |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$580$ |
$12$ |
$0$ |
$6.721387860$ |
$1$ |
|
$1$ |
$430080$ |
$1.653673$ |
$1650587344/725$ |
$0.83324$ |
$4.22551$ |
$[0, -1, 0, -131476, 18386160]$ |
\(y^2=x^3-x^2-131476x+18386160\) |
2.3.0.a.1, 20.6.0.c.1, 58.6.0.a.1, 580.12.0.? |
$[(-1208/3, 156500/3)]$ |
| 67280.v2 |
67280b1 |
67280.v |
67280b |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{4} \cdot 5 \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$580$ |
$12$ |
$0$ |
$13.44277572$ |
$1$ |
|
$1$ |
$215040$ |
$1.307100$ |
$10061824/4205$ |
$0.80068$ |
$3.51731$ |
$[0, -1, 0, -9531, 191966]$ |
\(y^2=x^3-x^2-9531x+191966\) |
2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.? |
$[(-204374/75, 295003126/75)]$ |
| 67280.w1 |
67280d2 |
67280.w |
67280d |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{8} \cdot 5^{4} \cdot 29^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.2 |
2B |
$1160$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$35840$ |
$0.530340$ |
$1102736/625$ |
$0.89642$ |
$2.65912$ |
$[0, -1, 0, -396, -304]$ |
\(y^2=x^3-x^2-396x-304\) |
2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.24.0.?, $\ldots$ |
$[]$ |
| 67280.w2 |
67280d1 |
67280.w |
67280d |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{4} \cdot 5^{2} \cdot 29^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.2 |
2B |
$1160$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$17920$ |
$0.183766$ |
$4499456/25$ |
$0.98947$ |
$2.53620$ |
$[0, -1, 0, -251, 1610]$ |
\(y^2=x^3-x^2-251x+1610\) |
2.3.0.a.1, 4.6.0.d.1, 40.12.0.by.1, 58.6.0.a.1, 116.24.0.?, $\ldots$ |
$[]$ |
| 67280.x1 |
67280u2 |
67280.x |
67280u |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{15} \cdot 5^{12} \cdot 29^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$4.814451480$ |
$1$ |
|
$2$ |
$933120$ |
$2.325195$ |
$14258975033569/1953125000$ |
$1.02226$ |
$4.68446$ |
$[0, -1, 0, -720176, 205760960]$ |
\(y^2=x^3-x^2-720176x+205760960\) |
3.4.0.a.1, 8.2.0.b.1, 12.8.0-3.a.1.2, 24.16.0-24.b.1.6 |
$[(760, 9840)]$ |
| 67280.x2 |
67280u1 |
67280.x |
67280u |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{21} \cdot 5^{4} \cdot 29^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$1.604817160$ |
$1$ |
|
$2$ |
$311040$ |
$1.775888$ |
$229895296609/320000$ |
$0.99384$ |
$4.31317$ |
$[0, -1, 0, -181936, -29772864]$ |
\(y^2=x^3-x^2-181936x-29772864\) |
3.4.0.a.1, 8.2.0.b.1, 12.8.0-3.a.1.1, 24.16.0-24.b.1.2 |
$[(648, 11136)]$ |
| 67280.y1 |
67280a2 |
67280.y |
67280a |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{8} \cdot 5^{3} \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$580$ |
$12$ |
$0$ |
$13.33347622$ |
$1$ |
|
$1$ |
$645120$ |
$2.040146$ |
$133649126224/105125$ |
$0.99931$ |
$4.62078$ |
$[0, -1, 0, -568796, 165191120]$ |
\(y^2=x^3-x^2-568796x+165191120\) |
2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.? |
$[(3375076/89, 66918492/89)]$ |
| 67280.y2 |
67280a1 |
67280.y |
67280a |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{4} \cdot 5^{6} \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$580$ |
$12$ |
$0$ |
$26.66695245$ |
$1$ |
|
$1$ |
$322560$ |
$1.693571$ |
$934979584/453125$ |
$0.89403$ |
$3.92497$ |
$[0, -1, 0, -43171, 1406370]$ |
\(y^2=x^3-x^2-43171x+1406370\) |
2.3.0.a.1, 20.6.0.c.1, 58.6.0.a.1, 580.12.0.? |
$[(-255888109514/34443, 32590121819135426/34443)]$ |
| 67280.z1 |
67280i1 |
67280.z |
67280i |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 29^{2} \) |
\( 2^{11} \cdot 5^{4} \cdot 29^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$5.134827088$ |
$1$ |
|
$2$ |
$779520$ |
$2.112461$ |
$1414562/625$ |
$1.05374$ |
$4.38311$ |
$[0, -1, 0, -235760, -21349408]$ |
\(y^2=x^3-x^2-235760x-21349408\) |
8.2.0.b.1 |
$[(-431, 120)]$ |
