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 |
8568.j1 |
8568c3 |
8568.j |
8568c |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 17 \) |
\( 2^{11} \cdot 3^{12} \cdot 7^{3} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$1$ |
$1105920$ |
$3.440315$ |
$322159999717985454060440834/4250799$ |
$1.10805$ |
$8.30997$ |
$[0, 0, 0, -1632306819, -25383459170018]$ |
\(y^2=x^3-1632306819x-25383459170018\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.5, 952.24.0.?, $\ldots$ |
$[]$ |
14570.h1 |
14570f2 |
14570.h |
14570f |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 31 \cdot 47 \) |
\( 2^{2} \cdot 5^{9} \cdot 31^{6} \cdot 47 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$29140$ |
$12$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$3110400$ |
$3.613297$ |
$830583210300422276011602377839329/325880257867187500$ |
$1.06064$ |
$7.90674$ |
$[1, -1, 1, -1958332713, -33355807369219]$ |
\(y^2+xy+y=x^3-x^2-1958332713x-33355807369219\) |
2.3.0.a.1, 124.6.0.?, 940.6.0.?, 29140.12.0.? |
$[]$ |
16800.z1 |
16800i2 |
16800.z |
16800i |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{9} \cdot 3^{7} \cdot 5^{10} \cdot 7 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$1$ |
$5160960$ |
$3.564705$ |
$229625675762164624948320008/9568125$ |
$1.08161$ |
$7.87259$ |
$[0, -1, 0, -2551500008, -49605979418988]$ |
\(y^2=x^3-x^2-2551500008x-49605979418988\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.5, 56.12.0.ba.1, $\ldots$ |
$[]$ |
17262.f1 |
17262b3 |
17262.f |
17262b |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 137 \) |
\( 2^{3} \cdot 3^{30} \cdot 7^{5} \cdot 137 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$23016$ |
$48$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$7004160$ |
$3.615623$ |
$104898428509482530128065310417/5202485368721239032$ |
$1.03854$ |
$7.52486$ |
$[1, -1, 0, -884282301, -10121036895315]$ |
\(y^2+xy=x^3-x^2-884282301x-10121036895315\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.z.1, 84.12.0.?, $\ldots$ |
$[]$ |
18330.r4 |
18330s4 |
18330.r |
18330s |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 47 \) |
\( - 2 \cdot 3^{9} \cdot 5 \cdot 13^{2} \cdot 47^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.7 |
2B |
$5640$ |
$48$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$14376960$ |
$3.972652$ |
$-11597845094944722710152295329/3865024865836504922724749070$ |
$1.06182$ |
$7.23065$ |
$[1, 1, 1, -47157546, -2993738606811]$ |
\(y^2+xy+y=x^3+x^2-47157546x-2993738606811\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[]$ |
26334.s6 |
26334l5 |
26334.s |
26334l |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11 \cdot 19 \) |
\( - 2^{3} \cdot 3^{8} \cdot 7^{6} \cdot 11 \cdot 19^{16} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$3696$ |
$192$ |
$1$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$76677120$ |
$4.683891$ |
$324243695127046811133920029343/26876396340935113703149559448$ |
$1.06938$ |
$7.81053$ |
$[1, -1, 0, 1288126314, -212220195256980]$ |
\(y^2+xy=x^3-x^2+1288126314x-212220195256980\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0.e.2, $\ldots$ |
$[]$ |
31284.a1 |
31284c1 |
31284.a |
31284c |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 11 \cdot 79 \) |
\( 2^{8} \cdot 3^{6} \cdot 11^{18} \cdot 79 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$316$ |
$2$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$29302560$ |
$4.324661$ |
$1196893107776952772633673036496/439233467765886286999$ |
$1.06078$ |
$7.86351$ |
$[0, 0, 0, -12640561983, -547012876626666]$ |
\(y^2=x^3-12640561983x-547012876626666\) |
316.2.0.? |
$[]$ |
32310.v1 |
32310x2 |
32310.v |
32310x |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 359 \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{9} \cdot 359^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$21540$ |
$12$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$39813120$ |
$4.240952$ |
$10077695949751488083514887953731721/108743343750000$ |
$1.05051$ |
$8.17550$ |
$[1, -1, 1, -40499999933, -3137106377607019]$ |
\(y^2+xy+y=x^3-x^2-40499999933x-3137106377607019\) |
2.3.0.a.1, 60.6.0.a.1, 1436.6.0.?, 21540.12.0.? |
$[]$ |
33282.bc1 |
33282q2 |
33282.bc |
33282q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( 2 \cdot 3^{9} \cdot 43^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$1032$ |
$12$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$1816320$ |
$2.840034$ |
$135005697/2$ |
$1.07647$ |
$5.99832$ |
$[1, -1, 1, -22942739, -42291349775]$ |
\(y^2+xy+y=x^3-x^2-22942739x-42291349775\) |
2.3.0.a.1, 8.6.0.f.1, 516.6.0.?, 1032.12.0.? |
$[]$ |
39618.g1 |
39618d4 |
39618.g |
39618d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 31 \cdot 71 \) |
\( 2^{5} \cdot 3^{38} \cdot 31^{3} \cdot 71 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$52824$ |
$48$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$24084480$ |
$4.092400$ |
$5241225928370442438313438451137/125421953141505563564832$ |
$1.03362$ |
$7.30382$ |
$[1, -1, 0, -3256958556, -71540593673040]$ |
\(y^2+xy=x^3-x^2-3256958556x-71540593673040\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 248.12.0.?, 372.12.0.?, $\ldots$ |
$[]$ |
41520.f1 |
41520j4 |
41520.f |
41520j |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 173 \) |
\( 2^{18} \cdot 3^{11} \cdot 5^{4} \cdot 173 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$20760$ |
$48$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$1$ |
$56770560$ |
$4.524666$ |
$126590038832220716645603010016410889/1225857240000$ |
$1.06477$ |
$8.38298$ |
$[0, -1, 0, -167370375176, -26355124898839824]$ |
\(y^2=x^3-x^2-167370375176x-26355124898839824\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
$[]$ |
42560.bl1 |
42560bw4 |
42560.bl |
42560bw |
$4$ |
$4$ |
\( 2^{6} \cdot 5 \cdot 7 \cdot 19 \) |
\( 2^{16} \cdot 5 \cdot 7^{3} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$5320$ |
$48$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$1$ |
$4423680$ |
$3.311718$ |
$1706768805632178182685889284/11763185$ |
$1.05504$ |
$6.92345$ |
$[0, 0, 0, -1003791788, -12240906233008]$ |
\(y^2=x^3-1003791788x-12240906233008\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 152.24.0.?, 280.24.0.?, $\ldots$ |
$[]$ |
45030.e1 |
45030e2 |
45030.e |
45030e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 19 \cdot 79 \) |
\( 2^{5} \cdot 3^{20} \cdot 5^{9} \cdot 19 \cdot 79^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$60040$ |
$12$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$145152000$ |
$4.516823$ |
$20771144401581196792932946050724969/1006517338237417401906187500000$ |
$1.03265$ |
$7.37455$ |
$[1, 1, 0, -5726802918, -159673785259212]$ |
\(y^2+xy=x^3+x^2-5726802918x-159673785259212\) |
2.3.0.a.1, 316.6.0.?, 760.6.0.?, 60040.12.0.? |
$[]$ |
52290.bq2 |
52290bz2 |
52290.bq |
52290bz |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 83 \) |
\( - 2^{3} \cdot 3^{16} \cdot 5^{24} \cdot 7^{11} \cdot 83^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$13944$ |
$12$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$2128896000$ |
$6.056282$ |
$-668790373670946788154751785606988681/383545828061955844402313232421875000$ |
$1.09069$ |
$8.83443$ |
$[1, -1, 1, -163970080493, -804914054084612019]$ |
\(y^2+xy+y=x^3-x^2-163970080493x-804914054084612019\) |
2.3.0.a.1, 56.6.0.b.1, 996.6.0.?, 13944.12.0.? |
$[]$ |
56511.u1 |
56511f1 |
56511.u |
56511f |
$1$ |
$1$ |
\( 3^{3} \cdot 7 \cdot 13 \cdot 23 \) |
\( 3^{9} \cdot 7 \cdot 13^{14} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$36638784$ |
$3.854286$ |
$40296879160538973049133051904/14580104756244467167$ |
$1.05001$ |
$6.92307$ |
$[0, 0, 1, -1928470491, -32596237577131]$ |
\(y^2+y=x^3-1928470491x-32596237577131\) |
42.2.0.a.1 |
$[]$ |
58560.cp3 |
58560z5 |
58560.cp |
58560z |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 61 \) |
\( - 2^{22} \cdot 3^{2} \cdot 5^{24} \cdot 61 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.95 |
2B |
$14640$ |
$192$ |
$1$ |
$1$ |
$100$ |
$2, 5$ |
$1$ |
$17694720$ |
$3.786205$ |
$-14153507863526516575422961/523567199707031250000$ |
$1.03890$ |
$6.41755$ |
$[0, 1, 0, -322522561, -2299659377761]$ |
\(y^2=x^3+x^2-322522561x-2299659377761\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 24.48.0-24.by.1.1, 80.48.0.?, $\ldots$ |
$[]$ |
60270.u1 |
60270u4 |
60270.u |
60270u |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 41 \) |
\( 2 \cdot 3^{7} \cdot 5 \cdot 7^{9} \cdot 41^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$34440$ |
$48$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$23224320$ |
$3.643047$ |
$7081899276883820886652140721/21197191823010$ |
$1.02604$ |
$6.88704$ |
$[1, 1, 1, -1960370196, -33409184016237]$ |
\(y^2+xy+y=x^3+x^2-1960370196x-33409184016237\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 420.12.0.?, 840.24.0.?, $\ldots$ |
$[]$ |
62883.g1 |
62883c1 |
62883.g |
62883c |
$1$ |
$1$ |
\( 3^{3} \cdot 17 \cdot 137 \) |
\( - 3^{11} \cdot 17 \cdot 137 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$13974$ |
$2$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$5464800$ |
$3.167576$ |
$-248625530899085964617711616/2329$ |
$1.13395$ |
$6.59449$ |
$[0, 0, 1, -735730236, -7681146002683]$ |
\(y^2+y=x^3-735730236x-7681146002683\) |
13974.2.0.? |
$[]$ |
65052.i2 |
65052e2 |
65052.i |
65052e |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 13 \cdot 139 \) |
\( - 2^{8} \cdot 3^{15} \cdot 13^{18} \cdot 139 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$21684$ |
$12$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$1$ |
$347120640$ |
$4.894058$ |
$-18845215481968042518607887973456/307670908729917454285176873$ |
$1.05921$ |
$7.59532$ |
$[0, 0, 0, -31682173143, -2200958360138450]$ |
\(y^2=x^3-31682173143x-2200958360138450\) |
2.3.0.a.1, 52.6.0.c.1, 1668.6.0.?, 21684.12.0.? |
$[]$ |
67326.i1 |
67326e1 |
67326.i |
67326e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 229 \) |
\( - 2^{47} \cdot 3^{2} \cdot 7^{9} \cdot 229^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12824$ |
$2$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$280465920$ |
$4.870956$ |
$-1411093972667477891258546067343/15211034545920858390528$ |
$1.05105$ |
$7.81980$ |
$[1, 1, 0, -80150246362, -8733958246505708]$ |
\(y^2+xy=x^3+x^2-80150246362x-8733958246505708\) |
12824.2.0.? |
$[]$ |
75405.c4 |
75405a3 |
75405.c |
75405a |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 11 \cdot 457 \) |
\( - 3^{5} \cdot 5^{5} \cdot 11^{20} \cdot 457 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$603240$ |
$48$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$105168000$ |
$4.322433$ |
$248898254537030410811793798646199/233467374022674129943063284375$ |
$1.01666$ |
$6.64207$ |
$[1, 1, 0, 1310486988, -14387353351389]$ |
\(y^2+xy=x^3+x^2+1310486988x-14387353351389\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 88.12.0.?, 440.24.0.?, $\ldots$ |
$[]$ |
76160.bj1 |
76160bk2 |
76160.bj |
76160bk |
$2$ |
$2$ |
\( 2^{7} \cdot 5 \cdot 7 \cdot 17 \) |
\( 2^{13} \cdot 5^{9} \cdot 7^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$9520$ |
$48$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$1$ |
$7649280$ |
$3.170750$ |
$599731113414123725496235232/79720703125$ |
$1.02679$ |
$6.28699$ |
$[0, -1, 0, -354166601, -2565308107015]$ |
\(y^2=x^3-x^2-354166601x-2565308107015\) |
2.3.0.a.1, 4.6.0.b.1, 56.12.0-4.b.1.3, 680.12.0.?, 1360.24.0.?, $\ldots$ |
$[]$ |
76350.ba2 |
76350ba2 |
76350.ba |
76350ba |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 509 \) |
\( - 2 \cdot 3^{5} \cdot 5^{9} \cdot 509^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$61080$ |
$12$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$40012800$ |
$3.699154$ |
$-2286810850017395536896797/8451678403774222326$ |
$1.03951$ |
$6.27768$ |
$[1, 0, 0, -343093263, -2453882932233]$ |
\(y^2+xy=x^3-343093263x-2453882932233\) |
2.3.0.a.1, 120.6.0.?, 10180.6.0.?, 12216.6.0.?, 61080.12.0.? |
$[]$ |
78120.b1 |
78120b4 |
78120.b |
78120b |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 31 \) |
\( 2^{11} \cdot 3^{12} \cdot 5^{5} \cdot 7^{16} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3720$ |
$48$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$1$ |
$102236160$ |
$4.550514$ |
$1480158610123528341512330428802/2346971868570040621875$ |
$1.07975$ |
$7.42819$ |
$[0, 0, 0, -27136094403, -1720554884074402]$ |
\(y^2=x^3-27136094403x-1720554884074402\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[]$ |
78166.f4 |
78166a3 |
78166.f |
78166a |
$4$ |
$4$ |
\( 2 \cdot 11^{2} \cdot 17 \cdot 19 \) |
\( - 2^{5} \cdot 11^{22} \cdot 17^{3} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$28424$ |
$48$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$95846400$ |
$4.326385$ |
$166683507263469920603005407/137256621874395856411744$ |
$1.05659$ |
$6.63604$ |
$[1, -1, 0, 1387314769, 12934055078797]$ |
\(y^2+xy=x^3-x^2+1387314769x+12934055078797\) |
2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 136.12.0.?, 152.12.0.?, $\ldots$ |
$[]$ |
81130.l1 |
81130h2 |
81130.l |
81130h |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 19 \cdot 61 \) |
\( 2^{3} \cdot 5^{14} \cdot 7 \cdot 19^{5} \cdot 61^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$324520$ |
$12$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$23224320$ |
$3.578396$ |
$44746894030151411128778444155369/3149167512353515625000$ |
$0.99650$ |
$6.44726$ |
$[1, 1, 0, -739627518, -7742566879828]$ |
\(y^2+xy=x^3+x^2-739627518x-7742566879828\) |
2.3.0.a.1, 1064.6.0.?, 1220.6.0.?, 324520.12.0.? |
$[]$ |
86736.a1 |
86736k1 |
86736.a |
86736k |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 13 \cdot 139 \) |
\( 2^{4} \cdot 3^{18} \cdot 13^{9} \cdot 139^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$21684$ |
$12$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$1$ |
$86780160$ |
$3.998180$ |
$305052292582664012362330272219136/79378402827862015483437$ |
$1.09181$ |
$6.82202$ |
$[0, -1, 0, -3533921145, -80858740257684]$ |
\(y^2=x^3-x^2-3533921145x-80858740257684\) |
2.3.0.a.1, 26.6.0.b.1, 1668.6.0.?, 21684.12.0.? |
$[]$ |
87380.d1 |
87380c1 |
87380.d |
87380c |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 17 \cdot 257 \) |
\( 2^{4} \cdot 5^{3} \cdot 17 \cdot 257 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.22 |
2B |
$174760$ |
$48$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$1$ |
$247968$ |
$1.344517$ |
$41697858646987423744/546125$ |
$0.92976$ |
$4.21423$ |
$[0, -1, 0, -182041, -29834634]$ |
\(y^2=x^3-x^2-182041x-29834634\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 43690.6.0.?, 87380.24.0.?, $\ldots$ |
$[]$ |
89955.e1 |
89955b4 |
89955.e |
89955b |
$4$ |
$4$ |
\( 3^{2} \cdot 5 \cdot 1999 \) |
\( 3^{6} \cdot 5^{3} \cdot 1999 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$239880$ |
$48$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$1697280$ |
$2.261078$ |
$261750992850947263904001/249875$ |
$0.98223$ |
$5.30490$ |
$[1, -1, 0, -11994000, -15985003375]$ |
\(y^2+xy=x^3-x^2-11994000x-15985003375\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.z.1, 60.12.0-4.c.1.2, $\ldots$ |
$[]$ |
90597.d1 |
90597d2 |
90597.d |
90597d |
$2$ |
$2$ |
\( 3 \cdot 13 \cdot 23 \cdot 101 \) |
\( 3^{11} \cdot 13^{4} \cdot 23^{18} \cdot 101 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$27876$ |
$12$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$2753372160$ |
$5.881599$ |
$2147545899171764625849524806631932918016569/1657790449110772348575990708581659623$ |
$1.04434$ |
$8.53963$ |
$[1, 0, 1, -2687857544444, -1694992149618472321]$ |
\(y^2+xy+y=x^3-2687857544444x-1694992149618472321\) |
2.3.0.a.1, 92.6.0.?, 1212.6.0.?, 27876.12.0.? |
$[]$ |
91910.b1 |
91910d2 |
91910.b |
91910d |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 13 \cdot 101 \) |
\( 2^{32} \cdot 5^{38} \cdot 7^{2} \cdot 13^{2} \cdot 101 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$26260$ |
$12$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$32894025728$ |
$6.913788$ |
$184165464035367773291725567271359710468860304649/1306845312500000000000000000000000000000000$ |
$1.05443$ |
$9.52282$ |
$[1, 0, 1, -118529966002689, -493641033526614630988]$ |
\(y^2+xy+y=x^3-118529966002689x-493641033526614630988\) |
2.3.0.a.1, 202.6.0.?, 260.6.0.?, 26260.12.0.? |
$[]$ |
91910.b2 |
91910d1 |
91910.b |
91910d |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 7 \cdot 13 \cdot 101 \) |
\( 2^{64} \cdot 5^{19} \cdot 7^{4} \cdot 13 \cdot 101^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$26260$ |
$12$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$1$ |
$16447012864$ |
$6.567215$ |
$203347276304913066944497513455513394382920969/112028382310948835164160000000000000000000$ |
$1.06243$ |
$8.92706$ |
$[1, 0, 1, -12251000263169, 3616268678484516276]$ |
\(y^2+xy+y=x^3-12251000263169x+3616268678484516276\) |
2.3.0.a.1, 130.6.0.?, 404.6.0.?, 26260.12.0.? |
$[]$ |
96600.r4 |
96600h3 |
96600.r |
96600h |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 23 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{7} \cdot 7^{20} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$6440$ |
$48$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$1$ |
$106168320$ |
$4.355049$ |
$-40133926989810174413190818/6689384645060302103835$ |
$1.02369$ |
$6.66374$ |
$[0, -1, 0, -2264536408, -47072896539188]$ |
\(y^2=x^3-x^2-2264536408x-47072896539188\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 280.24.0.?, 460.12.0.?, $\ldots$ |
$[]$ |
98175.bi4 |
98175v1 |
98175.bi |
98175v |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 17 \) |
\( 3 \cdot 5^{13} \cdot 7 \cdot 11^{16} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$1$ |
$119734272$ |
$4.205971$ |
$41336773804526931803116341361/1281566684476192302890625$ |
$1.00659$ |
$6.57255$ |
$[1, 0, 1, -1800850376, 28615792298273]$ |
\(y^2+xy+y=x^3-1800850376x+28615792298273\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
$[]$ |
98298.k1 |
98298f4 |
98298.k |
98298f |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 43 \cdot 127 \) |
\( 2^{10} \cdot 3^{7} \cdot 43 \cdot 127 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.5 |
2B |
$262128$ |
$192$ |
$1$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$11796480$ |
$3.220455$ |
$79213656345188140223726616577/16776192$ |
$1.01053$ |
$6.36179$ |
$[1, -1, 0, -805257216, -8795086416896]$ |
\(y^2+xy=x^3-x^2-805257216x-8795086416896\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.h.1, $\ldots$ |
$[]$ |
98810.k1 |
98810e2 |
98810.k |
98810e |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 41 \cdot 241 \) |
\( 2^{18} \cdot 5^{2} \cdot 41^{14} \cdot 241 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$39524$ |
$12$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$255467520$ |
$4.804756$ |
$215013499487717404693442902570141641/59906088986048264085968001433600$ |
$1.06239$ |
$7.07385$ |
$[1, -1, 0, -12480941239, -386466595870755]$ |
\(y^2+xy=x^3-x^2-12480941239x-386466595870755\) |
2.3.0.a.1, 164.6.0.?, 482.6.0.?, 39524.12.0.? |
$[]$ |
99416.k1 |
99416e2 |
99416.k |
99416e |
$2$ |
$2$ |
\( 2^{3} \cdot 17^{2} \cdot 43 \) |
\( 2^{11} \cdot 17^{16} \cdot 43^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5848$ |
$12$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$1$ |
$74649600$ |
$4.111130$ |
$3119171235804960099554/160285627042998643$ |
$0.99578$ |
$6.44089$ |
$[0, -1, 0, -1117153872, 13719457088780]$ |
\(y^2=x^3-x^2-1117153872x+13719457088780\) |
2.3.0.a.1, 68.6.0.c.1, 344.6.0.?, 5848.12.0.? |
$[]$ |
99594.k2 |
99594k2 |
99594.k |
99594k |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 503 \) |
\( 2^{2} \cdot 3^{28} \cdot 11^{10} \cdot 503^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$132792$ |
$48$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$2$ |
$159329280$ |
$4.485542$ |
$23859970670499104637839148141097/823740495897249414766584324$ |
$1.08327$ |
$6.85050$ |
$[1, -1, 1, -5397896759, 148023950860203]$ |
\(y^2+xy+y=x^3-x^2-5397896759x+148023950860203\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 132.24.0.?, 12072.24.0.?, 44264.24.0.?, $\ldots$ |
$[]$ |
102210.i4 |
102210g3 |
102210.i |
102210g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 3407 \) |
\( - 2 \cdot 3^{3} \cdot 5^{3} \cdot 3407^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.7 |
2B |
$408840$ |
$48$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$1903104$ |
$2.142349$ |
$-964327487688434396449/909478228323606750$ |
$0.94265$ |
$4.27271$ |
$[1, 1, 1, -205826, -58370227]$ |
\(y^2+xy+y=x^3+x^2-205826x-58370227\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[]$ |
104225.d1 |
104225c2 |
104225.d |
104225c |
$2$ |
$5$ |
\( 5^{2} \cdot 11 \cdot 379 \) |
\( 5^{9} \cdot 11 \cdot 379^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.4 |
5B.1.3 |
$41690$ |
$48$ |
$1$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$48960000$ |
$3.804817$ |
$220198741590936803664098308096/10752235007111125$ |
$1.00344$ |
$6.68330$ |
$[0, 1, 1, -3145118758, -67890716686731]$ |
\(y^2+y=x^3+x^2-3145118758x-67890716686731\) |
5.24.0-5.a.2.1, 41690.48.1.? |
$[]$ |
104880.bv2 |
104880ce3 |
104880.bv |
104880ce |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 19 \cdot 23 \) |
\( 2^{15} \cdot 3^{7} \cdot 5 \cdot 19 \cdot 23^{16} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$1$ |
$433520640$ |
$4.857323$ |
$488121703486772881794230641464001/10193134424111701474411057320$ |
$1.04269$ |
$7.23025$ |
$[0, -1, 0, -26245496000, 1606763979228672]$ |
\(y^2=x^3-x^2-26245496000x+1606763979228672\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.y.1.14, 380.12.0.?, $\ldots$ |
$[]$ |
105906.n1 |
105906m2 |
105906.n |
105906m |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 19 \cdot 929 \) |
\( - 2 \cdot 3 \cdot 19 \cdot 929^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$5$ |
5.24.0.3 |
5B.1.2 |
$2118120$ |
$48$ |
$1$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$1344000$ |
$2.029091$ |
$-3374352716384763025921/78883000436023986$ |
$0.93783$ |
$4.28771$ |
$[1, 0, 0, -312480, -68603406]$ |
\(y^2+xy=x^3-312480x-68603406\) |
5.24.0-5.a.2.2, 423624.2.0.?, 2118120.48.1.? |
$[]$ |
110942.c1 |
110942a2 |
110942.c |
110942a |
$2$ |
$2$ |
\( 2 \cdot 13 \cdot 17 \cdot 251 \) |
\( 2 \cdot 13^{4} \cdot 17^{14} \cdot 251 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$34136$ |
$12$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$16113664$ |
$3.449181$ |
$67955767695537762510346892625/2414137630390251066450838$ |
$1.00925$ |
$5.71490$ |
$[1, -1, 1, -85016040, -292288025467]$ |
\(y^2+xy+y=x^3-x^2-85016040x-292288025467\) |
2.3.0.a.1, 68.6.0.c.1, 2008.6.0.?, 34136.12.0.? |
$[]$ |
111130.c1 |
111130b1 |
111130.c |
111130b |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11113 \) |
\( - 2^{45} \cdot 5^{13} \cdot 11113 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$444520$ |
$2$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$43243200$ |
$3.798344$ |
$1656146013216735555685520631/477299715604480000000000000$ |
$1.04847$ |
$5.92875$ |
$[1, -1, 0, 24648565, -1050073728059]$ |
\(y^2+xy=x^3-x^2+24648565x-1050073728059\) |
444520.2.0.? |
$[]$ |
111265.f3 |
111265d1 |
111265.f |
111265d |
$4$ |
$4$ |
\( 5 \cdot 7 \cdot 11 \cdot 17^{2} \) |
\( 5^{5} \cdot 7 \cdot 11 \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$52360$ |
$48$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$1$ |
$46172160$ |
$3.854103$ |
$1652199744232172318791544721/1182190625$ |
$1.01653$ |
$6.85658$ |
$[1, -1, 1, -7117772818, -231132466277768]$ |
\(y^2+xy+y=x^3-x^2-7117772818x-231132466277768\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 136.12.0.?, 440.12.0.?, $\ldots$ |
$[]$ |
111720.x3 |
111720o3 |
111720.x |
111720o |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \) |
\( - 2^{11} \cdot 3^{36} \cdot 5^{2} \cdot 7^{10} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$1$ |
$353894400$ |
$4.750107$ |
$-28148547180859576249279538/171179179190345072522475$ |
$1.04468$ |
$6.91194$ |
$[0, -1, 0, -3943514920, -323355321266900]$ |
\(y^2=x^3-x^2-3943514920x-323355321266900\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 56.12.0-4.c.1.2, 152.12.0.?, $\ldots$ |
$[]$ |
117999.e2 |
117999c2 |
117999.e |
117999c |
$2$ |
$2$ |
\( 3^{2} \cdot 7 \cdot 1873 \) |
\( - 3^{17} \cdot 7 \cdot 1873^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$157332$ |
$12$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$79951872$ |
$4.206909$ |
$-244524989775216986256499855057/53537551624654921155249981$ |
$1.00244$ |
$6.38627$ |
$[1, -1, 0, -1172489661, -18141882978978]$ |
\(y^2+xy=x^3-x^2-1172489661x-18141882978978\) |
2.3.0.a.1, 84.6.0.?, 7492.6.0.?, 157332.12.0.? |
$[]$ |
118560.bg2 |
118560o3 |
118560.bg |
118560o |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5 \cdot 13 \cdot 19 \) |
\( 2^{9} \cdot 3 \cdot 5^{32} \cdot 13^{2} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.104 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$1$ |
$707788800$ |
$5.069687$ |
$29619628859130704360543895184399112/1538376021198928356170654296875$ |
$1.05485$ |
$7.32781$ |
$[0, 1, 0, -51567406176, -4300248073811460]$ |
\(y^2=x^3+x^2-51567406176x-4300248073811460\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.7, 12.12.0-4.c.1.1, 24.48.0-24.bi.1.4 |
$[]$ |
124244.a1 |
124244a1 |
124244.a |
124244a |
$1$ |
$1$ |
\( 2^{2} \cdot 89 \cdot 349 \) |
\( - 2^{8} \cdot 89^{3} \cdot 349 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$124244$ |
$2$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$1329264$ |
$1.822735$ |
$-368339402241503376336/246034181$ |
$0.91967$ |
$4.50986$ |
$[0, 0, 0, -948247, -355410562]$ |
\(y^2=x^3-948247x-355410562\) |
124244.2.0.? |
$[]$ |
128022.a1 |
128022a1 |
128022.a |
128022a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 19 \cdot 1123 \) |
\( - 2^{14} \cdot 3^{11} \cdot 19 \cdot 1123^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$128022$ |
$2$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$52734528$ |
$3.695843$ |
$-814041895320393849653386877643097/78099204620509691904$ |
$1.01161$ |
$6.44386$ |
$[1, 1, 0, -1945245181, -33023286726467]$ |
\(y^2+xy=x^3+x^2-1945245181x-33023286726467\) |
128022.2.0.? |
$[]$ |