| 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 |
| 9680.a1 |
9680i1 |
9680.a |
9680i |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{11} \cdot 5^{3} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$0.513365699$ |
$1$ |
|
$6$ |
$34560$ |
$1.181507$ |
$-16241202/1375$ |
$0.86555$ |
$4.22231$ |
$[0, 0, 0, -8107, -300806]$ |
\(y^2=x^3-8107x-300806\) |
440.2.0.? |
$[(143, 1210)]$ |
| 9680.b1 |
9680m2 |
9680.b |
9680m |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( 2^{18} \cdot 5^{6} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$660$ |
$144$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$380160$ |
$2.633656$ |
$4298149261979/1000000$ |
$1.00861$ |
$6.42724$ |
$[0, 1, 0, -7213576, -7458075660]$ |
\(y^2=x^3+x^2-7213576x-7458075660\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 12.36.0.d.1, 20.6.0.e.1, $\ldots$ |
$[ ]$ |
| 9680.b2 |
9680m1 |
9680.b |
9680m |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{24} \cdot 5^{3} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$660$ |
$144$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$190080$ |
$2.287083$ |
$-726572699/512000$ |
$1.05707$ |
$5.56768$ |
$[0, 1, 0, -398856, -144518156]$ |
\(y^2=x^3+x^2-398856x-144518156\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 12.36.0.c.1, 20.6.0.e.1, $\ldots$ |
$[ ]$ |
| 9680.c1 |
9680l2 |
9680.c |
9680l |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( 2^{18} \cdot 5^{6} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$660$ |
$144$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$34560$ |
$1.434710$ |
$4298149261979/1000000$ |
$1.00861$ |
$4.85961$ |
$[0, 1, 0, -59616, 5581684]$ |
\(y^2=x^3+x^2-59616x+5581684\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 12.36.0.d.1, 20.6.0.e.1, $\ldots$ |
$[ ]$ |
| 9680.c2 |
9680l1 |
9680.c |
9680l |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{24} \cdot 5^{3} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$660$ |
$144$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$17280$ |
$1.088135$ |
$-726572699/512000$ |
$1.05707$ |
$4.00005$ |
$[0, 1, 0, -3296, 107380]$ |
\(y^2=x^3+x^2-3296x+107380\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 12.36.0.c.1, 20.6.0.e.1, $\ldots$ |
$[ ]$ |
| 9680.d1 |
9680bd2 |
9680.d |
9680bd |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11520$ |
$0.999874$ |
$94875856/275$ |
$0.82986$ |
$4.17317$ |
$[0, 1, 0, -7300, 237048]$ |
\(y^2=x^3+x^2-7300x+237048\) |
2.3.0.a.1, 20.6.0.c.1, 44.6.0.a.1, 220.12.0.? |
$[ ]$ |
| 9680.d2 |
9680bd1 |
9680.d |
9680bd |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( 2^{4} \cdot 5 \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5760$ |
$0.653300$ |
$1048576/605$ |
$1.25294$ |
$3.38021$ |
$[0, 1, 0, -645, 130]$ |
\(y^2=x^3+x^2-645x+130\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.b.1, 220.12.0.? |
$[ ]$ |
| 9680.e1 |
9680b1 |
9680.e |
9680b |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{11} \cdot 5^{7} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$1.382503886$ |
$1$ |
|
$4$ |
$88704$ |
$2.051914$ |
$453962/78125$ |
$1.01718$ |
$5.22162$ |
$[0, -1, 0, 27064, 29493136]$ |
\(y^2=x^3-x^2+27064x+29493136\) |
440.2.0.? |
$[(-40, 5324)]$ |
| 9680.f1 |
9680q2 |
9680.f |
9680q |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$660$ |
$16$ |
$0$ |
$5.637384322$ |
$1$ |
|
$2$ |
$1728$ |
$0.225250$ |
$-296587984/125$ |
$0.88334$ |
$3.25236$ |
$[0, -1, 0, -436, -3364]$ |
\(y^2=x^3-x^2-436x-3364\) |
3.4.0.a.1, 20.2.0.a.1, 60.8.0.a.1, 132.8.0.?, 330.8.0.?, $\ldots$ |
$[(269, 4390)]$ |
| 9680.f2 |
9680q1 |
9680.f |
9680q |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{8} \cdot 5 \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$660$ |
$16$ |
$0$ |
$1.879128107$ |
$1$ |
|
$2$ |
$576$ |
$-0.324056$ |
$176/5$ |
$0.70418$ |
$2.11211$ |
$[0, -1, 0, 4, -20]$ |
\(y^2=x^3-x^2+4x-20\) |
3.4.0.a.1, 20.2.0.a.1, 60.8.0.a.1, 132.8.0.?, 330.8.0.?, $\ldots$ |
$[(5, 10)]$ |
| 9680.g1 |
9680r1 |
9680.g |
9680r |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{15} \cdot 5 \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$0.524616739$ |
$1$ |
|
$4$ |
$11520$ |
$1.084990$ |
$-117649/440$ |
$0.93815$ |
$3.96505$ |
$[0, -1, 0, -1976, 93040]$ |
\(y^2=x^3-x^2-1976x+93040\) |
3.4.0.a.1, 120.8.0.?, 132.8.0.?, 440.2.0.?, 1320.16.0.? |
$[(26, 242)]$ |
| 9680.g2 |
9680r2 |
9680.g |
9680r |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{13} \cdot 5^{3} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$1.573850217$ |
$1$ |
|
$2$ |
$34560$ |
$1.634296$ |
$80062991/332750$ |
$0.92204$ |
$4.65525$ |
$[0, -1, 0, 17384, -2199184]$ |
\(y^2=x^3-x^2+17384x-2199184\) |
3.4.0.a.1, 120.8.0.?, 132.8.0.?, 440.2.0.?, 1320.16.0.? |
$[(554, 13310)]$ |
| 9680.h1 |
9680p2 |
9680.h |
9680p |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$1.520008364$ |
$1$ |
|
$2$ |
$19008$ |
$1.424198$ |
$-296587984/125$ |
$0.88334$ |
$4.81998$ |
$[0, -1, 0, -52796, 4688620]$ |
\(y^2=x^3-x^2-52796x+4688620\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 20.2.0.a.1, 30.8.0-3.a.1.2, 60.16.0-60.a.1.1 |
$[(81, 968)]$ |
| 9680.h2 |
9680p1 |
9680.h |
9680p |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{8} \cdot 5 \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$4.560025094$ |
$1$ |
|
$2$ |
$6336$ |
$0.874892$ |
$176/5$ |
$0.70418$ |
$3.67973$ |
$[0, -1, 0, 444, 24796]$ |
\(y^2=x^3-x^2+444x+24796\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 20.2.0.a.1, 30.8.0-3.a.1.1, 60.16.0-60.a.1.4 |
$[(73, 664)]$ |
| 9680.i1 |
9680a1 |
9680.i |
9680a |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{11} \cdot 5^{7} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$1.952547531$ |
$1$ |
|
$4$ |
$8064$ |
$0.852966$ |
$453962/78125$ |
$1.01718$ |
$3.65400$ |
$[0, -1, 0, 224, -22240]$ |
\(y^2=x^3-x^2+224x-22240\) |
440.2.0.? |
$[(26, 22)]$ |
| 9680.j1 |
9680s1 |
9680.j |
9680s |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{19} \cdot 5 \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$1.111271839$ |
$1$ |
|
$4$ |
$80640$ |
$1.844904$ |
$-76711450249/851840$ |
$0.93960$ |
$5.20684$ |
$[0, -1, 0, -171376, 27624896]$ |
\(y^2=x^3-x^2-171376x+27624896\) |
3.4.0.a.1, 120.8.0.?, 132.8.0.?, 440.2.0.?, 1320.16.0.? |
$[(488, 7744)]$ |
| 9680.j2 |
9680s2 |
9680.j |
9680s |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{33} \cdot 5^{3} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$3.333815519$ |
$1$ |
|
$0$ |
$241920$ |
$2.394211$ |
$2882081488391/2883584000$ |
$0.98944$ |
$5.59988$ |
$[0, -1, 0, 573984, 142708480]$ |
\(y^2=x^3-x^2+573984x+142708480\) |
3.4.0.a.1, 120.8.0.?, 132.8.0.?, 440.2.0.?, 1320.16.0.? |
$[(5520/7, 4956160/7)]$ |
| 9680.k1 |
9680bb1 |
9680.k |
9680bb |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{20} \cdot 5^{3} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$660$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$152064$ |
$2.350475$ |
$-1693700041/32000$ |
$0.97068$ |
$5.83788$ |
$[0, -1, 0, -1176160, 499304192]$ |
\(y^2=x^3-x^2-1176160x+499304192\) |
3.4.0.a.1, 20.2.0.a.1, 60.8.0.a.1, 132.8.0.?, 330.8.0.?, $\ldots$ |
$[ ]$ |
| 9680.k2 |
9680bb2 |
9680.k |
9680bb |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{36} \cdot 5 \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$660$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$456192$ |
$2.899780$ |
$106718863559/83886080$ |
$1.03425$ |
$6.28583$ |
$[0, -1, 0, 4680240, 2331186112]$ |
\(y^2=x^3-x^2+4680240x+2331186112\) |
3.4.0.a.1, 20.2.0.a.1, 60.8.0.a.1, 132.8.0.?, 330.8.0.?, $\ldots$ |
$[ ]$ |
| 9680.l1 |
9680ba1 |
9680.l |
9680ba |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{20} \cdot 5^{3} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13824$ |
$1.151527$ |
$-1693700041/32000$ |
$0.97068$ |
$4.27026$ |
$[0, -1, 0, -9720, -371600]$ |
\(y^2=x^3-x^2-9720x-371600\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 20.2.0.a.1, 30.8.0-3.a.1.1, 60.16.0-60.a.1.4 |
$[ ]$ |
| 9680.l2 |
9680ba2 |
9680.l |
9680ba |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{36} \cdot 5 \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$41472$ |
$1.700832$ |
$106718863559/83886080$ |
$1.03425$ |
$4.71820$ |
$[0, -1, 0, 38680, -1765520]$ |
\(y^2=x^3-x^2+38680x-1765520\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 20.2.0.a.1, 30.8.0-3.a.1.2, 60.16.0-60.a.1.1 |
$[ ]$ |
| 9680.m1 |
9680k2 |
9680.m |
9680k |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.33 |
2B |
$440$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$50688$ |
$1.638182$ |
$1016339184/25$ |
$0.96659$ |
$5.21537$ |
$[0, 0, 0, -177023, -28667078]$ |
\(y^2=x^3-177023x-28667078\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 40.24.0.eg.1, 44.12.0.l.1, $\ldots$ |
$[ ]$ |
| 9680.m2 |
9680k1 |
9680.m |
9680k |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{4} \cdot 5^{4} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.5 |
2B |
$440$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$25344$ |
$1.291607$ |
$-3538944/625$ |
$1.36072$ |
$4.32557$ |
$[0, 0, 0, -10648, -483153]$ |
\(y^2=x^3-10648x-483153\) |
2.3.0.a.1, 4.12.0.e.1, 22.6.0.a.1, 40.24.0.ea.1, 44.24.0.e.1, $\ldots$ |
$[ ]$ |
| 9680.n1 |
9680e1 |
9680.n |
9680e |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( 2^{4} \cdot 5^{3} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11520$ |
$0.998522$ |
$379275264/15125$ |
$1.01554$ |
$4.02206$ |
$[0, 0, 0, -4598, -115797]$ |
\(y^2=x^3-4598x-115797\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.? |
$[ ]$ |
| 9680.n2 |
9680e2 |
9680.n |
9680e |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{8} \cdot 5^{6} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$23040$ |
$1.345095$ |
$2122416/171875$ |
$1.06651$ |
$4.29673$ |
$[0, 0, 0, 2057, -423258]$ |
\(y^2=x^3+2057x-423258\) |
2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.? |
$[ ]$ |
| 9680.o1 |
9680f2 |
9680.o |
9680f |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( 2^{8} \cdot 5 \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$0.926879$ |
$5256144/605$ |
$0.79186$ |
$3.85794$ |
$[0, 0, 0, -2783, -50578]$ |
\(y^2=x^3-2783x-50578\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.? |
$[ ]$ |
| 9680.o2 |
9680f1 |
9680.o |
9680f |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{4} \cdot 5^{2} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3840$ |
$0.580305$ |
$55296/275$ |
$0.96856$ |
$3.28049$ |
$[0, 0, 0, 242, -3993]$ |
\(y^2=x^3+242x-3993\) |
2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.? |
$[ ]$ |
| 9680.p1 |
9680j2 |
9680.p |
9680j |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.33 |
2B |
$440$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$0.439233$ |
$1016339184/25$ |
$0.96659$ |
$3.64774$ |
$[0, 0, 0, -1463, 21538]$ |
\(y^2=x^3-1463x+21538\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 40.24.0.eg.1, 44.12.0.l.1, $\ldots$ |
$[ ]$ |
| 9680.p2 |
9680j1 |
9680.p |
9680j |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{4} \cdot 5^{4} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.5 |
2B |
$440$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.092660$ |
$-3538944/625$ |
$1.36072$ |
$2.75795$ |
$[0, 0, 0, -88, 363]$ |
\(y^2=x^3-88x+363\) |
2.3.0.a.1, 4.12.0.e.1, 22.6.0.a.1, 40.24.0.ea.1, 44.24.0.e.1, $\ldots$ |
$[ ]$ |
| 9680.q1 |
9680h3 |
9680.q |
9680h |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( 2^{10} \cdot 5 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$880$ |
$192$ |
$3$ |
$2.178039125$ |
$1$ |
|
$3$ |
$10240$ |
$0.996734$ |
$132304644/5$ |
$1.13632$ |
$4.36046$ |
$[0, 0, 0, -12947, -567006]$ |
\(y^2=x^3-12947x-567006\) |
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, $\ldots$ |
$[(209, 2420)]$ |
| 9680.q2 |
9680h2 |
9680.q |
9680h |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.35 |
2Cs |
$440$ |
$192$ |
$3$ |
$4.356078251$ |
$1$ |
|
$5$ |
$5120$ |
$0.650160$ |
$148176/25$ |
$1.09175$ |
$3.46909$ |
$[0, 0, 0, -847, -7986]$ |
\(y^2=x^3-847x-7986\) |
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, $\ldots$ |
$[(158, 1950)]$ |
| 9680.q3 |
9680h1 |
9680.q |
9680h |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( 2^{4} \cdot 5 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$880$ |
$192$ |
$3$ |
$2.178039125$ |
$1$ |
|
$1$ |
$2560$ |
$0.303586$ |
$55296/5$ |
$1.01898$ |
$3.05960$ |
$[0, 0, 0, -242, 1331]$ |
\(y^2=x^3-242x+1331\) |
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, $\ldots$ |
$[(-55/2, 363/2)]$ |
| 9680.q4 |
9680h4 |
9680.q |
9680h |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{10} \cdot 5^{4} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.2 |
2B |
$880$ |
$192$ |
$3$ |
$2.178039125$ |
$1$ |
|
$5$ |
$10240$ |
$0.996734$ |
$237276/625$ |
$1.04671$ |
$3.80954$ |
$[0, 0, 0, 1573, -45254]$ |
\(y^2=x^3+1573x-45254\) |
2.3.0.a.1, 4.24.0.c.1, 40.48.1.dk.1, 44.48.0-4.c.1.1, 80.96.3.?, $\ldots$ |
$[(27, 130)]$ |
| 9680.r1 |
9680w4 |
9680.r |
9680w |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( 2^{12} \cdot 5^{4} \cdot 11^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$30720$ |
$1.606430$ |
$22930509321/6875$ |
$1.07717$ |
$5.07320$ |
$[0, 0, 0, -114587, 14925834]$ |
\(y^2=x^3-114587x+14925834\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.z.1.13, 44.24.0-44.h.1.2, 440.48.0.? |
$[ ]$ |
| 9680.r2 |
9680w3 |
9680.r |
9680w |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( 2^{12} \cdot 5 \cdot 11^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30720$ |
$1.606430$ |
$2749884201/73205$ |
$0.94591$ |
$4.84211$ |
$[0, 0, 0, -56507, -5049814]$ |
\(y^2=x^3-56507x-5049814\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 10.6.0.a.1, 20.12.0.g.1, $\ldots$ |
$[ ]$ |
| 9680.r3 |
9680w2 |
9680.r |
9680w |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( 2^{12} \cdot 5^{2} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$220$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$15360$ |
$1.259855$ |
$8120601/3025$ |
$1.05560$ |
$4.20743$ |
$[0, 0, 0, -8107, 167706]$ |
\(y^2=x^3-8107x+167706\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.b.1.3, 44.24.0-44.a.1.1, 220.48.0.? |
$[ ]$ |
| 9680.r4 |
9680w1 |
9680.r |
9680w |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{12} \cdot 5 \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$0.913282$ |
$59319/55$ |
$0.79207$ |
$3.67144$ |
$[0, 0, 0, 1573, 18634]$ |
\(y^2=x^3+1573x+18634\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.z.1.5, 88.24.0.?, 110.6.0.?, $\ldots$ |
$[ ]$ |
| 9680.s1 |
9680g3 |
9680.s |
9680g |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( 2^{10} \cdot 5^{3} \cdot 11^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.16 |
2B |
$880$ |
$192$ |
$3$ |
$2.510571337$ |
$1$ |
|
$3$ |
$276480$ |
$2.467052$ |
$46424454082884/26794860125$ |
$1.13955$ |
$5.75166$ |
$[0, 0, 0, -913187, -17284366]$ |
\(y^2=x^3-913187x-17284366\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 16.24.0-8.o.1.4, $\ldots$ |
$[(-407, 16940)]$ |
| 9680.s2 |
9680g2 |
9680.s |
9680g |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( 2^{8} \cdot 5^{6} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.33 |
2Cs |
$440$ |
$192$ |
$3$ |
$5.021142674$ |
$1$ |
|
$5$ |
$138240$ |
$2.120480$ |
$55537159171536/228765625$ |
$1.14096$ |
$5.62014$ |
$[0, 0, 0, -610687, 183031134]$ |
\(y^2=x^3-610687x+183031134\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0-4.a.1.3, 20.24.0.b.1, 40.96.0-40.g.1.9, $\ldots$ |
$[(718, 10710)]$ |
| 9680.s3 |
9680g1 |
9680.s |
9680g |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( 2^{4} \cdot 5^{3} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.16 |
2B |
$880$ |
$192$ |
$3$ |
$2.510571337$ |
$1$ |
|
$1$ |
$69120$ |
$1.773907$ |
$885956203616256/15125$ |
$1.05882$ |
$5.61982$ |
$[0, 0, 0, -610082, 183413131]$ |
\(y^2=x^3-610082x+183413131\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 16.24.0-8.o.1.4, $\ldots$ |
$[(913/2, 59895/2)]$ |
| 9680.s4 |
9680g4 |
9680.s |
9680g |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{10} \cdot 5^{12} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.9 |
2B |
$880$ |
$192$ |
$3$ |
$2.510571337$ |
$1$ |
|
$5$ |
$276480$ |
$2.467052$ |
$-1957960715364/29541015625$ |
$1.10389$ |
$5.76610$ |
$[0, 0, 0, -317867, 358898826]$ |
\(y^2=x^3-317867x+358898826\) |
2.3.0.a.1, 4.24.0-4.d.1.2, 40.48.0-40.w.1.7, 44.48.0-44.d.1.1, 80.96.0.?, $\ldots$ |
$[(-253, 20570)]$ |
| 9680.t1 |
9680z1 |
9680.t |
9680z |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{16} \cdot 5 \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2304$ |
$0.142028$ |
$-14641/80$ |
$1.01441$ |
$2.72951$ |
$[0, 1, 0, -40, -332]$ |
\(y^2=x^3+x^2-40x-332\) |
20.2.0.a.1 |
$[ ]$ |
| 9680.u1 |
9680v1 |
9680.u |
9680v |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{21} \cdot 5^{3} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$1320$ |
$24$ |
$1$ |
$1.460907026$ |
$1$ |
|
$4$ |
$114048$ |
$2.153038$ |
$-616295051/64000$ |
$1.06545$ |
$5.48094$ |
$[0, 1, 0, -377560, 96850708]$ |
\(y^2=x^3+x^2-377560x+96850708\) |
3.6.0.b.1, 33.12.0.a.1, 120.12.0.?, 440.2.0.?, 1320.24.1.? |
$[(-444, 13310)]$ |
| 9680.v1 |
9680u1 |
9680.v |
9680u |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{21} \cdot 5^{3} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$1320$ |
$24$ |
$1$ |
$0.781344511$ |
$1$ |
|
$4$ |
$10368$ |
$0.954090$ |
$-616295051/64000$ |
$1.06545$ |
$3.91332$ |
$[0, 1, 0, -3120, -73900]$ |
\(y^2=x^3+x^2-3120x-73900\) |
3.6.0.b.1, 33.12.0.a.1, 120.12.0.?, 440.2.0.?, 1320.24.1.? |
$[(370, 7040)]$ |
| 9680.w1 |
9680x1 |
9680.w |
9680x |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{16} \cdot 5 \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$25344$ |
$1.340977$ |
$-14641/80$ |
$1.01441$ |
$4.29714$ |
$[0, 1, 0, -4880, 422420]$ |
\(y^2=x^3+x^2-4880x+422420\) |
20.2.0.a.1 |
$[ ]$ |
| 9680.x1 |
9680y2 |
9680.x |
9680y |
$2$ |
$5$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{13} \cdot 5 \cdot 11^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$440$ |
$48$ |
$1$ |
$1$ |
$25$ |
$5$ |
$0$ |
$288000$ |
$2.537170$ |
$-23178622194826561/1610510$ |
$1.01294$ |
$6.57968$ |
$[0, 1, 0, -11499880, -15014090060]$ |
\(y^2=x^3+x^2-11499880x-15014090060\) |
5.12.0.a.2, 40.24.0-5.a.2.6, 220.24.0.?, 440.48.1.? |
$[ ]$ |
| 9680.x2 |
9680y1 |
9680.x |
9680y |
$2$ |
$5$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{17} \cdot 5^{5} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$440$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$57600$ |
$1.732452$ |
$109902239/1100000$ |
$0.94438$ |
$4.79538$ |
$[0, 1, 0, 19320, -4165900]$ |
\(y^2=x^3+x^2+19320x-4165900\) |
5.12.0.a.1, 40.24.0-5.a.1.6, 220.24.0.?, 440.48.1.? |
$[ ]$ |
| 9680.y1 |
9680d2 |
9680.y |
9680d |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( 2^{10} \cdot 5^{2} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$4.701148838$ |
$1$ |
|
$3$ |
$25344$ |
$1.420359$ |
$821516/25$ |
$0.82838$ |
$4.59057$ |
$[0, -1, 0, -26176, 1595376]$ |
\(y^2=x^3-x^2-26176x+1595376\) |
2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.? |
$[(486, 10170)]$ |
| 9680.y2 |
9680d1 |
9680.y |
9680d |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( - 2^{8} \cdot 5 \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$9.402297676$ |
$1$ |
|
$1$ |
$12672$ |
$1.073786$ |
$16/5$ |
$0.81234$ |
$3.94304$ |
$[0, -1, 0, 444, 83360]$ |
\(y^2=x^3-x^2+444x+83360\) |
2.3.0.a.1, 20.6.0.e.1, 44.6.0.b.1, 110.6.0.?, 220.12.0.? |
$[(9529/9, 964342/9)]$ |
| 9680.z1 |
9680c2 |
9680.z |
9680c |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 11^{2} \) |
\( 2^{10} \cdot 5^{2} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$2.333242690$ |
$1$ |
|
$3$ |
$2304$ |
$0.221412$ |
$821516/25$ |
$0.82838$ |
$3.02295$ |
$[0, -1, 0, -216, -1120]$ |
\(y^2=x^3-x^2-216x-1120\) |
2.3.0.a.1, 20.6.0.e.1, 44.6.0.a.1, 220.12.0.? |
$[(38, 210)]$ |
