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 |
10080.a1 |
10080bo1 |
10080.a |
10080bo |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{3} \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$3.978101297$ |
$1$ |
|
$2$ |
$40320$ |
$1.474031$ |
$-88478050816/102942875$ |
$0.97384$ |
$4.47127$ |
$[0, 0, 0, -13368, 1032208]$ |
\(y^2=x^3-13368x+1032208\) |
70.2.0.a.1 |
$[(96, 796)]$ |
10080.b1 |
10080n3 |
10080.b |
10080n |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{13} \cdot 5^{4} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1720320$ |
$3.309292$ |
$229625675762164624948320008/9568125$ |
$1.08161$ |
$7.97635$ |
$[0, 0, 0, -918540003, 10715075262502]$ |
\(y^2=x^3-918540003x+10715075262502\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.bb.1.16, 56.24.0-56.ba.1.6, $\ldots$ |
$[]$ |
10080.b2 |
10080n2 |
10080.b |
10080n |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{34} \cdot 5^{4} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1720320$ |
$3.309292$ |
$7079962908642659949376/100085966990454375$ |
$1.08828$ |
$7.07516$ |
$[0, 0, 0, -57605628, 166216898752]$ |
\(y^2=x^3-57605628x+166216898752\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.bb.1.2, $\ldots$ |
$[]$ |
10080.b3 |
10080n1 |
10080.b |
10080n |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{20} \cdot 5^{8} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$860160$ |
$2.962719$ |
$448487713888272974160064/91549016015625$ |
$1.09640$ |
$7.07404$ |
$[0, 0, 0, -57408753, 167423033752]$ |
\(y^2=x^3-57408753x+167423033752\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.a.1.3, 28.12.0.a.1, $\ldots$ |
$[]$ |
10080.b4 |
10080n4 |
10080.b |
10080n |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{9} \cdot 3^{13} \cdot 5^{16} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1720320$ |
$3.309292$ |
$-55486311952875723077768/801237030029296875$ |
$1.06446$ |
$7.07560$ |
$[0, 0, 0, -57211923, 168628066378]$ |
\(y^2=x^3-57211923x+168628066378\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.1, 24.24.0-24.v.1.4, $\ldots$ |
$[]$ |
10080.c1 |
10080bn3 |
10080.c |
10080bn |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{8} \cdot 5^{3} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$4.844136817$ |
$1$ |
|
$3$ |
$49152$ |
$1.725269$ |
$128025588102048008/7875$ |
$1.02392$ |
$5.66492$ |
$[0, 0, 0, -756003, 253007498]$ |
\(y^2=x^3-756003x+253007498\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.ba.1, 56.12.0.y.1, $\ldots$ |
$[(566, 2536)]$ |
10080.c2 |
10080bn2 |
10080.c |
10080bn |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{8} \cdot 5^{12} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$4.844136817$ |
$1$ |
|
$3$ |
$49152$ |
$1.725269$ |
$43919722445768/15380859375$ |
$1.00022$ |
$4.79951$ |
$[0, 0, 0, -52923, 2944622]$ |
\(y^2=x^3-52923x+2944622\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.ba.1, 56.12.0.s.1, $\ldots$ |
$[(322, 4392)]$ |
10080.c3 |
10080bn1 |
10080.c |
10080bn |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{6} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$2.422068408$ |
$1$ |
|
$9$ |
$24576$ |
$1.378695$ |
$250094631024064/62015625$ |
$1.00620$ |
$4.76263$ |
$[0, 0, 0, -47253, 3952748]$ |
\(y^2=x^3-47253x+3952748\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 56.12.0.b.1, 60.24.0-20.a.1.2, $\ldots$ |
$[(-1, 2000)]$ |
10080.c4 |
10080bn4 |
10080.c |
10080bn |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{12} \cdot 3^{14} \cdot 5^{3} \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1.211034204$ |
$1$ |
|
$7$ |
$49152$ |
$1.725269$ |
$-2671731885376/1969120125$ |
$0.99342$ |
$4.81049$ |
$[0, 0, 0, -41628, 4929248]$ |
\(y^2=x^3-41628x+4929248\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0.h.1, 56.12.0.y.1, $\ldots$ |
$[(46, 1764)]$ |
10080.d1 |
10080c2 |
10080.d |
10080c |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{9} \cdot 5^{5} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$2.568790774$ |
$1$ |
|
$5$ |
$92160$ |
$2.034374$ |
$135574940230848/367653125$ |
$1.02568$ |
$5.50490$ |
$[0, 0, 0, -462348, 120720672]$ |
\(y^2=x^3-462348x+120720672\) |
2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.? |
$[(354, 1188)]$ |
10080.d2 |
10080c1 |
10080.d |
10080c |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{10} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$5.137581549$ |
$1$ |
|
$3$ |
$46080$ |
$1.687801$ |
$5820343774272/3349609375$ |
$1.14030$ |
$4.71223$ |
$[0, 0, 0, -40473, 233172]$ |
\(y^2=x^3-40473x+233172\) |
2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.? |
$[(-83, 1738)]$ |
10080.e1 |
10080m2 |
10080.e |
10080m |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{7} \cdot 5 \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$12288$ |
$0.812892$ |
$303735479048/105$ |
$0.94981$ |
$4.25994$ |
$[0, 0, 0, -10083, -389702]$ |
\(y^2=x^3-10083x-389702\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.3, 56.12.0.bb.1, $\ldots$ |
$[]$ |
10080.e2 |
10080m3 |
10080.e |
10080m |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{7} \cdot 5 \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$0.812892$ |
$82881856/36015$ |
$0.98412$ |
$3.59528$ |
$[0, 0, 0, -1308, 9088]$ |
\(y^2=x^3-1308x+9088\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0-4.c.1.2, 56.12.0.bb.1, $\ldots$ |
$[]$ |
10080.e3 |
10080m1 |
10080.e |
10080m |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$6144$ |
$0.466318$ |
$601211584/11025$ |
$0.96539$ |
$3.35908$ |
$[0, 0, 0, -633, -6032]$ |
\(y^2=x^3-633x-6032\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 56.12.0.a.1, 60.24.0-60.a.1.3, $\ldots$ |
$[]$ |
10080.e4 |
10080m4 |
10080.e |
10080m |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{9} \cdot 3^{10} \cdot 5^{4} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$0.812892$ |
$-8/354375$ |
$1.25857$ |
$3.58665$ |
$[0, 0, 0, -3, -17498]$ |
\(y^2=x^3-3x-17498\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.5, 56.12.0.v.1, $\ldots$ |
$[]$ |
10080.f1 |
10080bl1 |
10080.f |
10080bl |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{6} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1.265569783$ |
$1$ |
|
$5$ |
$9216$ |
$0.855895$ |
$16079333824/2953125$ |
$1.00765$ |
$3.71558$ |
$[0, 0, 0, -1893, -26192]$ |
\(y^2=x^3-1893x-26192\) |
2.3.0.a.1, 20.6.0.b.1, 42.6.0.a.1, 420.12.0.? |
$[(-19, 54)]$ |
10080.f2 |
10080bl2 |
10080.f |
10080bl |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{12} \cdot 3^{12} \cdot 5^{3} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$2.531139566$ |
$1$ |
|
$5$ |
$18432$ |
$1.202469$ |
$1925134784/4465125$ |
$1.02421$ |
$4.05594$ |
$[0, 0, 0, 3732, -152192]$ |
\(y^2=x^3+3732x-152192\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[(53, 441)]$ |
10080.g1 |
10080b2 |
10080.g |
10080b |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{3} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$0.478772024$ |
$1$ |
|
$9$ |
$2048$ |
$0.143127$ |
$1259712/245$ |
$0.85109$ |
$2.78359$ |
$[0, 0, 0, -108, 352]$ |
\(y^2=x^3-108x+352\) |
2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.? |
$[(2, 12)]$ |
10080.g2 |
10080b1 |
10080.g |
10080b |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$0.957544048$ |
$1$ |
|
$5$ |
$1024$ |
$-0.203446$ |
$2299968/175$ |
$0.75886$ |
$2.39774$ |
$[0, 0, 0, -33, -68]$ |
\(y^2=x^3-33x-68\) |
2.3.0.a.1, 42.6.0.a.1, 60.6.0.b.1, 140.6.0.?, 420.12.0.? |
$[(-3, 2)]$ |
10080.h1 |
10080j2 |
10080.h |
10080j |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{6} \cdot 5^{2} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.115 |
2B |
$1680$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.325333$ |
$481927184300808/1225$ |
$1.08132$ |
$5.05937$ |
$[0, 0, 0, -117603, -15523002]$ |
\(y^2=x^3-117603x-15523002\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.y.1, 12.12.0-4.c.1.2, 24.48.0-8.y.1.3, $\ldots$ |
$[]$ |
10080.h2 |
10080j3 |
10080.h |
10080j |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{6} \cdot 5^{2} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.115 |
2B |
$1680$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.325333$ |
$262389836808/144120025$ |
$1.06498$ |
$4.24406$ |
$[0, 0, 0, -9603, -81702]$ |
\(y^2=x^3-9603x-81702\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.y.1, 12.12.0-4.c.1.1, 24.48.0-8.y.1.4, $\ldots$ |
$[]$ |
10080.h3 |
10080j1 |
10080.h |
10080j |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{4} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.31 |
2Cs |
$1680$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$12288$ |
$0.978759$ |
$942344950464/1500625$ |
$1.16391$ |
$4.15718$ |
$[0, 0, 0, -7353, -242352]$ |
\(y^2=x^3-7353x-242352\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0.a.1, 12.24.0-4.a.1.1, 24.48.0-8.a.1.1, $\ldots$ |
$[]$ |
10080.h4 |
10080j4 |
10080.h |
10080j |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{8} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.70 |
2B |
$1680$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.325333$ |
$-5053029696/19140625$ |
$1.12450$ |
$4.26040$ |
$[0, 0, 0, -5148, -390528]$ |
\(y^2=x^3-5148x-390528\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.x.1, 12.24.0-4.d.1.1, 24.48.0-8.x.1.1, $\ldots$ |
$[]$ |
10080.i1 |
10080a1 |
10080.i |
10080a |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{3} \cdot 5 \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1.122222167$ |
$1$ |
|
$5$ |
$768$ |
$-0.280578$ |
$2299968/35$ |
$0.92882$ |
$2.39774$ |
$[0, 0, 0, -33, 72]$ |
\(y^2=x^3-33x+72\) |
2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.? |
$[(4, 2)]$ |
10080.i2 |
10080a2 |
10080.i |
10080a |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$0.561111083$ |
$1$ |
|
$7$ |
$1536$ |
$0.065996$ |
$-216/1225$ |
$1.18660$ |
$2.61433$ |
$[0, 0, 0, -3, 198]$ |
\(y^2=x^3-3x+198\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[(1, 14)]$ |
10080.j1 |
10080i3 |
10080.j |
10080i |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{9} \cdot 5^{4} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.478851$ |
$608119035935048/826875$ |
$0.99937$ |
$5.08460$ |
$[0, 0, 0, -127083, 17437282]$ |
\(y^2=x^3-127083x+17437282\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.1, 24.24.0-24.s.1.4, $\ldots$ |
$[]$ |
10080.j2 |
10080i2 |
10080.j |
10080i |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{9} \cdot 5 \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.478851$ |
$2428799546888/778248135$ |
$0.98008$ |
$4.48547$ |
$[0, 0, 0, -20163, -736202]$ |
\(y^2=x^3-20163x-736202\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.y.1.8, 40.24.0-40.ba.1.14, $\ldots$ |
$[]$ |
10080.j3 |
10080i1 |
10080.j |
10080i |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$12288$ |
$1.132278$ |
$1219555693504/43758225$ |
$0.97220$ |
$4.18516$ |
$[0, 0, 0, -8013, 267388]$ |
\(y^2=x^3-8013x+267388\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 24.24.0-24.b.1.2, $\ldots$ |
$[]$ |
10080.j4 |
10080i4 |
10080.j |
10080i |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{12} \cdot 3^{18} \cdot 5 \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.478851$ |
$1012048064/130203045$ |
$1.03841$ |
$4.45247$ |
$[0, 0, 0, 3012, 946528]$ |
\(y^2=x^3+3012x+946528\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 20.12.0.h.1, $\ldots$ |
$[]$ |
10080.k1 |
10080l1 |
10080.k |
10080l |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{5} \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9600$ |
$0.755599$ |
$1124864/21875$ |
$0.91387$ |
$3.50683$ |
$[0, 0, 0, 312, 12112]$ |
\(y^2=x^3+312x+12112\) |
70.2.0.a.1 |
$[]$ |
10080.l1 |
10080k1 |
10080.l |
10080k |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5 \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2688$ |
$0.222522$ |
$13824/35$ |
$0.66491$ |
$2.78359$ |
$[0, 0, 0, 72, -432]$ |
\(y^2=x^3+72x-432\) |
70.2.0.a.1 |
$[]$ |
10080.m1 |
10080bm2 |
10080.m |
10080bm |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{8} \cdot 5^{4} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$3.865437712$ |
$1$ |
|
$3$ |
$8192$ |
$0.896496$ |
$68017239368/39375$ |
$0.93705$ |
$4.09761$ |
$[0, 0, 0, -6123, -184322]$ |
\(y^2=x^3-6123x-184322\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.ba.1, 56.12.0.s.1, $\ldots$ |
$[(98, 396)]$ |
10080.m2 |
10080bm3 |
10080.m |
10080bm |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{14} \cdot 5 \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$3.865437712$ |
$1$ |
|
$3$ |
$8192$ |
$0.896496$ |
$13858588808/229635$ |
$0.92250$ |
$3.92503$ |
$[0, 0, 0, -3603, 82042]$ |
\(y^2=x^3-3603x+82042\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.ba.1, 56.12.0.y.1, $\ldots$ |
$[(54, 212)]$ |
10080.m3 |
10080bm1 |
10080.m |
10080bm |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1.932718856$ |
$1$ |
|
$9$ |
$4096$ |
$0.549922$ |
$220348864/99225$ |
$0.91532$ |
$3.25019$ |
$[0, 0, 0, -453, -1748]$ |
\(y^2=x^3-453x-1748\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 56.12.0.b.1, 60.24.0-20.a.1.2, $\ldots$ |
$[(-9, 40)]$ |
10080.m4 |
10080bm4 |
10080.m |
10080bm |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{12} \cdot 3^{8} \cdot 5 \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$0.966359428$ |
$1$ |
|
$7$ |
$8192$ |
$0.896496$ |
$143877824/108045$ |
$0.91686$ |
$3.65511$ |
$[0, 0, 0, 1572, -13088]$ |
\(y^2=x^3+1572x-13088\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0.h.1, 56.12.0.y.1, $\ldots$ |
$[(14, 108)]$ |
10080.n1 |
10080bd1 |
10080.n |
10080bd |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{3} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3840$ |
$0.305049$ |
$42581671488/875$ |
$0.99850$ |
$3.46370$ |
$[0, 0, 0, -873, 9928]$ |
\(y^2=x^3-873x+9928\) |
2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.? |
$[]$ |
10080.n2 |
10080bd2 |
10080.n |
10080bd |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{6} \cdot 7^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$0.651623$ |
$-4792616856/765625$ |
$0.92920$ |
$3.47876$ |
$[0, 0, 0, -843, 10642]$ |
\(y^2=x^3-843x+10642\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[]$ |
10080.o1 |
10080o1 |
10080.o |
10080o |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{7} \cdot 5^{2} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$15360$ |
$0.932495$ |
$4446542056384/25725$ |
$1.10048$ |
$4.32549$ |
$[0, 0, 0, -12333, -527168]$ |
\(y^2=x^3-12333x-527168\) |
2.3.0.a.1, 20.6.0.b.1, 42.6.0.a.1, 420.12.0.? |
$[]$ |
10080.o2 |
10080o2 |
10080.o |
10080o |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{12} \cdot 3^{8} \cdot 5 \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30720$ |
$1.279068$ |
$-65743598656/5294205$ |
$1.08536$ |
$4.33363$ |
$[0, 0, 0, -12108, -547328]$ |
\(y^2=x^3-12108x-547328\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[]$ |
10080.p1 |
10080v1 |
10080.p |
10080v |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{7} \cdot 5^{2} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$0.501753180$ |
$1$ |
|
$7$ |
$15360$ |
$0.932495$ |
$4446542056384/25725$ |
$1.10048$ |
$4.32549$ |
$[0, 0, 0, -12333, 527168]$ |
\(y^2=x^3-12333x+527168\) |
2.3.0.a.1, 20.6.0.b.1, 42.6.0.a.1, 420.12.0.? |
$[(59, 70)]$ |
10080.p2 |
10080v2 |
10080.p |
10080v |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{12} \cdot 3^{8} \cdot 5 \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$0.250876590$ |
$1$ |
|
$13$ |
$30720$ |
$1.279068$ |
$-65743598656/5294205$ |
$1.08536$ |
$4.33363$ |
$[0, 0, 0, -12108, 547328]$ |
\(y^2=x^3-12108x+547328\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[(-2, 756)]$ |
10080.q1 |
10080u3 |
10080.q |
10080u |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{8} \cdot 5^{4} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$3.276757713$ |
$1$ |
|
$3$ |
$8192$ |
$0.896496$ |
$68017239368/39375$ |
$0.93705$ |
$4.09761$ |
$[0, 0, 0, -6123, 184322]$ |
\(y^2=x^3-6123x+184322\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.ba.1, 56.12.0.s.1, $\ldots$ |
$[(146, 1550)]$ |
10080.q2 |
10080u2 |
10080.q |
10080u |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 3^{14} \cdot 5 \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$3.276757713$ |
$1$ |
|
$3$ |
$8192$ |
$0.896496$ |
$13858588808/229635$ |
$0.92250$ |
$3.92503$ |
$[0, 0, 0, -3603, -82042]$ |
\(y^2=x^3-3603x-82042\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.ba.1, 56.12.0.y.1, $\ldots$ |
$[(-34, 34)]$ |
10080.q3 |
10080u1 |
10080.q |
10080u |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1.638378856$ |
$1$ |
|
$9$ |
$4096$ |
$0.549922$ |
$220348864/99225$ |
$0.91532$ |
$3.25019$ |
$[0, 0, 0, -453, 1748]$ |
\(y^2=x^3-453x+1748\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 56.12.0.b.1, 60.24.0-20.a.1.1, $\ldots$ |
$[(1, 36)]$ |
10080.q4 |
10080u4 |
10080.q |
10080u |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{12} \cdot 3^{8} \cdot 5 \cdot 7^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$0.819189428$ |
$1$ |
|
$7$ |
$8192$ |
$0.896496$ |
$143877824/108045$ |
$0.91686$ |
$3.65511$ |
$[0, 0, 0, 1572, 13088]$ |
\(y^2=x^3+1572x+13088\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0.h.1, 56.12.0.y.1, $\ldots$ |
$[(13, 189)]$ |
10080.r1 |
10080bg1 |
10080.r |
10080bg |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{3} \cdot 7 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$4.796275258$ |
$1$ |
|
$3$ |
$3840$ |
$0.305049$ |
$42581671488/875$ |
$0.99850$ |
$3.46370$ |
$[0, 0, 0, -873, -9928]$ |
\(y^2=x^3-873x-9928\) |
2.3.0.a.1, 24.6.0.c.1, 210.6.0.?, 280.6.0.?, 840.12.0.? |
$[(104, 1012)]$ |
10080.r2 |
10080bg2 |
10080.r |
10080bg |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{6} \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$2.398137629$ |
$1$ |
|
$5$ |
$7680$ |
$0.651623$ |
$-4792616856/765625$ |
$0.92920$ |
$3.47876$ |
$[0, 0, 0, -843, -10642]$ |
\(y^2=x^3-843x-10642\) |
2.3.0.a.1, 24.6.0.b.1, 280.6.0.?, 420.6.0.?, 840.12.0.? |
$[(41, 154)]$ |
10080.s1 |
10080br1 |
10080.s |
10080br |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{5} \cdot 7 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9600$ |
$0.755599$ |
$1124864/21875$ |
$0.91387$ |
$3.50683$ |
$[0, 0, 0, 312, -12112]$ |
\(y^2=x^3+312x-12112\) |
70.2.0.a.1 |
$[]$ |
10080.t1 |
10080q1 |
10080.t |
10080q |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5 \cdot 7 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1.589014263$ |
$1$ |
|
$2$ |
$2688$ |
$0.222522$ |
$13824/35$ |
$0.66491$ |
$2.78359$ |
$[0, 0, 0, 72, 432]$ |
\(y^2=x^3+72x+432\) |
70.2.0.a.1 |
$[(4, 28)]$ |
10080.u1 |
10080be2 |
10080.u |
10080be |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{12} \cdot 3^{3} \cdot 5 \cdot 7^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1.408848773$ |
$1$ |
|
$5$ |
$2048$ |
$0.143127$ |
$1259712/245$ |
$0.85109$ |
$2.78359$ |
$[0, 0, 0, -108, -352]$ |
\(y^2=x^3-108x-352\) |
2.3.0.a.1, 60.6.0.a.1, 84.6.0.?, 140.6.0.?, 420.12.0.? |
$[(-4, 4)]$ |