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 |
52800.a1 |
52800w1 |
52800.a |
52800w |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{14} \cdot 3 \cdot 5^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$1.410217884$ |
$1$ |
|
$2$ |
$18432$ |
$0.054480$ |
$27440/33$ |
$0.71080$ |
$2.13513$ |
$[0, -1, 0, 47, -143]$ |
\(y^2=x^3-x^2+47x-143\) |
132.2.0.? |
$[(3, 4)]$ |
52800.b1 |
52800fv1 |
52800.b |
52800fv |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{14} \cdot 3 \cdot 5^{8} \cdot 11 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$0.895713794$ |
$1$ |
|
$14$ |
$92160$ |
$0.859200$ |
$27440/33$ |
$0.71080$ |
$3.02315$ |
$[0, -1, 0, 1167, 15537]$ |
\(y^2=x^3-x^2+1167x+15537\) |
132.2.0.? |
$[(17, 200), (-47/3, 2600/3)]$ |
52800.c1 |
52800ep4 |
52800.c |
52800ep |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{14} \cdot 3 \cdot 5^{9} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$663552$ |
$2.003899$ |
$1628514404944/664335375$ |
$0.96334$ |
$4.36621$ |
$[0, -1, 0, -155633, 12889137]$ |
\(y^2=x^3-x^2-155633x+12889137\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.5, 44.6.0.c.1, $\ldots$ |
$[]$ |
52800.c2 |
52800ep2 |
52800.c |
52800ep |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{14} \cdot 3^{3} \cdot 5^{7} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$221184$ |
$1.454594$ |
$158792223184/16335$ |
$0.92143$ |
$4.15215$ |
$[0, -1, 0, -71633, -7354863]$ |
\(y^2=x^3-x^2-71633x-7354863\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.13, 44.6.0.c.1, $\ldots$ |
$[]$ |
52800.c3 |
52800ep1 |
52800.c |
52800ep |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.108021$ |
$-488095744/200475$ |
$0.94024$ |
$3.41453$ |
$[0, -1, 0, -4133, -132363]$ |
\(y^2=x^3-x^2-4133x-132363\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 22.6.0.a.1, 24.24.0-6.a.1.2, $\ldots$ |
$[]$ |
52800.c4 |
52800ep3 |
52800.c |
52800ep |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{10} \cdot 3^{2} \cdot 5^{12} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$331776$ |
$1.657328$ |
$223673040896/187171875$ |
$1.02215$ |
$3.92868$ |
$[0, -1, 0, 31867, 1451637]$ |
\(y^2=x^3-x^2+31867x+1451637\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 22.6.0.a.1, 24.24.0-6.a.1.10, $\ldots$ |
$[]$ |
52800.d1 |
52800v4 |
52800.d |
52800v |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{6} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$3.448149579$ |
$1$ |
|
$5$ |
$393216$ |
$1.831808$ |
$347873904937/395307$ |
$1.00913$ |
$4.47923$ |
$[0, -1, 0, -234433, 43724737]$ |
\(y^2=x^3-x^2-234433x+43724737\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.2, 88.12.0.?, $\ldots$ |
$[(312, 925)]$ |
52800.d2 |
52800v2 |
52800.d |
52800v |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{18} \cdot 3^{6} \cdot 5^{6} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1320$ |
$48$ |
$0$ |
$1.724074789$ |
$1$ |
|
$11$ |
$196608$ |
$1.485233$ |
$169112377/88209$ |
$1.00669$ |
$3.77767$ |
$[0, -1, 0, -18433, 308737]$ |
\(y^2=x^3-x^2-18433x+308737\) |
2.6.0.a.1, 12.12.0.a.1, 40.12.0-2.a.1.1, 44.12.0.b.1, 120.24.0.?, $\ldots$ |
$[(-8, 675)]$ |
52800.d3 |
52800v1 |
52800.d |
52800v |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$3.448149579$ |
$1$ |
|
$3$ |
$98304$ |
$1.138660$ |
$30664297/297$ |
$1.09706$ |
$3.62065$ |
$[0, -1, 0, -10433, -403263]$ |
\(y^2=x^3-x^2-10433x-403263\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 40.12.0-4.c.1.4, 66.6.0.a.1, $\ldots$ |
$[(193, 2176)]$ |
52800.d4 |
52800v3 |
52800.d |
52800v |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{18} \cdot 3^{12} \cdot 5^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$3.448149579$ |
$1$ |
|
$5$ |
$393216$ |
$1.831808$ |
$9090072503/5845851$ |
$1.03763$ |
$4.14407$ |
$[0, -1, 0, 69567, 2332737]$ |
\(y^2=x^3-x^2+69567x+2332737\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 40.12.0-4.c.1.1, $\ldots$ |
$[(67, 2700)]$ |
52800.e1 |
52800u4 |
52800.e |
52800u |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{7} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$440$ |
$48$ |
$0$ |
$6.194399658$ |
$1$ |
|
$3$ |
$393216$ |
$1.882114$ |
$127191074376964/495$ |
$0.98053$ |
$4.89446$ |
$[0, -1, 0, -1056033, -417348063]$ |
\(y^2=x^3-x^2-1056033x-417348063\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.z.1.3, 88.24.0.?, $\ldots$ |
$[(4307, 273700)]$ |
52800.e2 |
52800u2 |
52800.e |
52800u |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{14} \cdot 3^{4} \cdot 5^{8} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$440$ |
$48$ |
$0$ |
$3.097199829$ |
$1$ |
|
$9$ |
$196608$ |
$1.535542$ |
$124386546256/245025$ |
$0.91921$ |
$4.12969$ |
$[0, -1, 0, -66033, -6498063]$ |
\(y^2=x^3-x^2-66033x-6498063\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.b.1, 40.24.0-20.b.1.2, 44.12.0.b.1, $\ldots$ |
$[(-144, 63)]$ |
52800.e3 |
52800u3 |
52800.e |
52800u |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{16} \cdot 3^{8} \cdot 5^{10} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$440$ |
$48$ |
$0$ |
$6.194399658$ |
$1$ |
|
$3$ |
$393216$ |
$1.882114$ |
$-9220796644/45106875$ |
$0.95649$ |
$4.22447$ |
$[0, -1, 0, -44033, -10920063]$ |
\(y^2=x^3-x^2-44033x-10920063\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 22.6.0.a.1, 40.24.0-40.z.1.9, $\ldots$ |
$[(4256, 277263)]$ |
52800.e4 |
52800u1 |
52800.e |
52800u |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{7} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$440$ |
$48$ |
$0$ |
$1.548599914$ |
$1$ |
|
$5$ |
$98304$ |
$1.188967$ |
$1171019776/658845$ |
$0.99612$ |
$3.44568$ |
$[0, -1, 0, -5533, -24563]$ |
\(y^2=x^3-x^2-5533x-24563\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 10.6.0.a.1, 20.12.0.g.1, $\ldots$ |
$[(-44, 363)]$ |
52800.f1 |
52800ff4 |
52800.f |
52800ff |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{16} \cdot 5^{9} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$440$ |
$48$ |
$0$ |
$7.192057968$ |
$1$ |
|
$3$ |
$2359296$ |
$2.592472$ |
$3382175663521924/59189241375$ |
$1.07877$ |
$5.19615$ |
$[0, -1, 0, -3152033, 2122175937]$ |
\(y^2=x^3-x^2-3152033x+2122175937\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.z.1.11, 88.24.0.?, $\ldots$ |
$[(13227, 1508100)]$ |
52800.f2 |
52800ff2 |
52800.f |
52800ff |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{12} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$440$ |
$48$ |
$0$ |
$3.596028984$ |
$1$ |
|
$9$ |
$1179648$ |
$2.245899$ |
$28071778927696/12404390625$ |
$1.08404$ |
$4.62803$ |
$[0, -1, 0, -402033, -47574063]$ |
\(y^2=x^3-x^2-402033x-47574063\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.b.1, 40.24.0-20.b.1.1, 44.12.0.b.1, $\ldots$ |
$[(768, 9801)]$ |
52800.f3 |
52800ff1 |
52800.f |
52800ff |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{9} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$440$ |
$48$ |
$0$ |
$1.798014492$ |
$1$ |
|
$5$ |
$589824$ |
$1.899324$ |
$275361373935616/148240125$ |
$1.00710$ |
$4.58304$ |
$[0, -1, 0, -341533, -76674563]$ |
\(y^2=x^3-x^2-341533x-76674563\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 10.6.0.a.1, 20.12.0.g.1, $\ldots$ |
$[(-332, 99)]$ |
52800.f4 |
52800ff3 |
52800.f |
52800ff |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{16} \cdot 3^{4} \cdot 5^{18} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$440$ |
$48$ |
$0$ |
$7.192057968$ |
$1$ |
|
$3$ |
$2359296$ |
$2.592472$ |
$283811208976796/217529296875$ |
$1.01132$ |
$4.96827$ |
$[0, -1, 0, 1379967, -355860063]$ |
\(y^2=x^3-x^2+1379967x-355860063\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 22.6.0.a.1, 40.24.0-40.z.1.1, $\ldots$ |
$[(368, 14201)]$ |
52800.g1 |
52800bl4 |
52800.g |
52800bl |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{25} \cdot 3^{5} \cdot 5^{22} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$41287680$ |
$4.100502$ |
$680995599504466943307169/52207031250000000$ |
$1.06496$ |
$7.08196$ |
$[0, -1, 0, -2932649633, -61122719728863]$ |
\(y^2=x^3-x^2-2932649633x-61122719728863\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.1, 40.24.0-8.m.1.3, $\ldots$ |
$[]$ |
52800.g2 |
52800bl2 |
52800.g |
52800bl |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{32} \cdot 3^{10} \cdot 5^{14} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$20643840$ |
$3.753929$ |
$201738262891771037089/45727545600000000$ |
$1.05036$ |
$6.33484$ |
$[0, -1, 0, -195497633, -820524016863]$ |
\(y^2=x^3-x^2-195497633x-820524016863\) |
2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.1, 132.12.0.?, $\ldots$ |
$[]$ |
52800.g3 |
52800bl1 |
52800.g |
52800bl |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{46} \cdot 3^{5} \cdot 5^{10} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10321920$ |
$3.407356$ |
$7220044159551112609/448454983680000$ |
$1.03565$ |
$6.02861$ |
$[0, -1, 0, -64425633, 188075023137]$ |
\(y^2=x^3-x^2-64425633x+188075023137\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 40.24.0-8.m.1.4, 66.6.0.a.1, $\ldots$ |
$[]$ |
52800.g4 |
52800bl3 |
52800.g |
52800bl |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{25} \cdot 3^{20} \cdot 5^{10} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$41287680$ |
$4.100502$ |
$2371297246710590562911/4084000833203280000$ |
$1.06688$ |
$6.62409$ |
$[0, -1, 0, 444502367, -5070764016863]$ |
\(y^2=x^3-x^2+444502367x-5070764016863\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.2, 40.24.0-8.d.1.2, $\ldots$ |
$[]$ |
52800.h1 |
52800bk4 |
52800.h |
52800bk |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{17} \cdot 3 \cdot 5^{14} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$589824$ |
$1.905643$ |
$228027144098/12890625$ |
$0.94421$ |
$4.37665$ |
$[0, -1, 0, -161633, -23704863]$ |
\(y^2=x^3-x^2-161633x-23704863\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 20.12.0-4.c.1.1, 40.24.0-8.m.1.3, $\ldots$ |
$[]$ |
52800.h2 |
52800bk2 |
52800.h |
52800bk |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{10} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$294912$ |
$1.559071$ |
$2810381476/680625$ |
$0.90521$ |
$3.90864$ |
$[0, -1, 0, -29633, 1507137]$ |
\(y^2=x^3-x^2-29633x+1507137\) |
2.6.0.a.1, 8.12.0.b.1, 20.12.0-2.a.1.1, 40.24.0-8.b.1.1, 132.12.0.?, $\ldots$ |
$[]$ |
52800.h3 |
52800bk1 |
52800.h |
52800bk |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{14} \cdot 3 \cdot 5^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.212496$ |
$9115564624/825$ |
$0.89208$ |
$3.88936$ |
$[0, -1, 0, -27633, 1777137]$ |
\(y^2=x^3-x^2-27633x+1777137\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 40.24.0-8.m.1.4, 66.6.0.a.1, $\ldots$ |
$[]$ |
52800.h4 |
52800bk3 |
52800.h |
52800bk |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{17} \cdot 3^{4} \cdot 5^{8} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$1.905643$ |
$18814587262/29648025$ |
$0.95073$ |
$4.19726$ |
$[0, -1, 0, 70367, 9407137]$ |
\(y^2=x^3-x^2+70367x+9407137\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.2, 40.24.0-8.d.1.2, $\ldots$ |
$[]$ |
52800.i1 |
52800fe4 |
52800.i |
52800fe |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{15} \cdot 3 \cdot 5^{10} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1320$ |
$48$ |
$0$ |
$3.212815813$ |
$1$ |
|
$5$ |
$147456$ |
$1.385460$ |
$10105715528/20625$ |
$0.90093$ |
$3.96258$ |
$[0, -1, 0, -36033, -2616063]$ |
\(y^2=x^3-x^2-36033x-2616063\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(-109, 68)]$ |
52800.i2 |
52800fe2 |
52800.i |
52800fe |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1320$ |
$48$ |
$0$ |
$1.606407906$ |
$1$ |
|
$11$ |
$73728$ |
$1.038887$ |
$48228544/27225$ |
$1.02963$ |
$3.27984$ |
$[0, -1, 0, -3033, -9063]$ |
\(y^2=x^3-x^2-3033x-9063\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, 132.12.0.?, $\ldots$ |
$[(72, 375)]$ |
52800.i3 |
52800fe1 |
52800.i |
52800fe |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{7} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1320$ |
$48$ |
$0$ |
$3.212815813$ |
$1$ |
|
$3$ |
$36864$ |
$0.692313$ |
$768575296/4455$ |
$0.94232$ |
$3.15199$ |
$[0, -1, 0, -1908, 32562]$ |
\(y^2=x^3-x^2-1908x+32562\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 220.12.0.?, $\ldots$ |
$[(127, 1350)]$ |
52800.i4 |
52800fe3 |
52800.i |
52800fe |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{15} \cdot 3 \cdot 5^{7} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1320$ |
$48$ |
$0$ |
$3.212815813$ |
$1$ |
|
$5$ |
$147456$ |
$1.385460$ |
$370146232/219615$ |
$0.94680$ |
$3.65848$ |
$[0, -1, 0, 11967, -84063]$ |
\(y^2=x^3-x^2+11967x-84063\) |
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.?, $\ldots$ |
$[(32, 575)]$ |
52800.j1 |
52800bm1 |
52800.j |
52800bm |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{9} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$660$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$221184$ |
$1.464308$ |
$157079401546816/408375$ |
$0.98784$ |
$4.27645$ |
$[0, -1, 0, -112408, -14468438]$ |
\(y^2=x^3-x^2-112408x-14468438\) |
2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.? |
$[]$ |
52800.j2 |
52800bm2 |
52800.j |
52800bm |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{12} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$660$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$442368$ |
$1.810881$ |
$-2365396076224/125296875$ |
$0.96041$ |
$4.28111$ |
$[0, -1, 0, -111033, -14841063]$ |
\(y^2=x^3-x^2-111033x-14841063\) |
2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.? |
$[]$ |
52800.k1 |
52800r1 |
52800.k |
52800r |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{6} \cdot 3 \cdot 5^{10} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$4.678627215$ |
$1$ |
|
$2$ |
$92160$ |
$1.106874$ |
$-25000000/3993$ |
$1.12461$ |
$3.45139$ |
$[0, -1, 0, -5208, 165162]$ |
\(y^2=x^3-x^2-5208x+165162\) |
132.2.0.? |
$[(-49, 548)]$ |
52800.l1 |
52800fl1 |
52800.l |
52800fl |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{8} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$78.84049813$ |
$1$ |
|
$0$ |
$2534400$ |
$2.882153$ |
$-716220782494793351680/5787689787$ |
$1.06665$ |
$5.98246$ |
$[0, -1, 0, -54503083, -154856263463]$ |
\(y^2=x^3-x^2-54503083x-154856263463\) |
6.2.0.a.1 |
$[(1752089469885096723735143894745451104/9070026204690205, 2155426093167792199801350684711413820134162862024706217/9070026204690205)]$ |
52800.m1 |
52800p1 |
52800.m |
52800p |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{20} \cdot 3^{3} \cdot 5^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$0.853602188$ |
$1$ |
|
$4$ |
$27648$ |
$0.576933$ |
$-625/1188$ |
$1.11238$ |
$2.78001$ |
$[0, -1, 0, -33, 4257]$ |
\(y^2=x^3-x^2-33x+4257\) |
132.2.0.? |
$[(-7, 64)]$ |
52800.n1 |
52800o1 |
52800.n |
52800o |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{16} \cdot 3^{19} \cdot 5^{10} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$25.26422710$ |
$1$ |
|
$0$ |
$3793920$ |
$2.973331$ |
$-323194518662500/12784876137$ |
$1.07553$ |
$5.57832$ |
$[0, -1, 0, -12320833, -17201350463]$ |
\(y^2=x^3-x^2-12320833x-17201350463\) |
132.2.0.? |
$[(389425983969/8315, 174430780404812272/8315)]$ |
52800.o1 |
52800q1 |
52800.o |
52800q |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{6} \cdot 3^{7} \cdot 5^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$3.332609070$ |
$1$ |
|
$2$ |
$10752$ |
$0.142655$ |
$25442240/24057$ |
$0.88720$ |
$2.24656$ |
$[0, -1, 0, 72, 162]$ |
\(y^2=x^3-x^2+72x+162\) |
132.2.0.? |
$[(23, 116)]$ |
52800.p1 |
52800ca1 |
52800.p |
52800ca |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{6} \cdot 3^{7} \cdot 5^{8} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$7.112853257$ |
$1$ |
|
$0$ |
$53760$ |
$0.947373$ |
$25442240/24057$ |
$0.88720$ |
$3.13458$ |
$[0, -1, 0, 1792, -23838]$ |
\(y^2=x^3-x^2+1792x-23838\) |
132.2.0.? |
$[(379/5, 10142/5)]$ |
52800.q1 |
52800ft1 |
52800.q |
52800ft |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{16} \cdot 3^{19} \cdot 5^{4} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$758784$ |
$2.168613$ |
$-323194518662500/12784876137$ |
$1.07553$ |
$4.69029$ |
$[0, -1, 0, -492833, 137807937]$ |
\(y^2=x^3-x^2-492833x+137807937\) |
132.2.0.? |
$[]$ |
52800.r1 |
52800fu1 |
52800.r |
52800fu |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{20} \cdot 3^{3} \cdot 5^{8} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$138240$ |
$1.381653$ |
$-625/1188$ |
$1.11238$ |
$3.66804$ |
$[0, -1, 0, -833, -530463]$ |
\(y^2=x^3-x^2-833x-530463\) |
132.2.0.? |
$[]$ |
52800.s1 |
52800fd1 |
52800.s |
52800fd |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.031634576$ |
$1$ |
|
$0$ |
$506880$ |
$2.077431$ |
$-716220782494793351680/5787689787$ |
$1.06665$ |
$5.09444$ |
$[0, -1, 0, -2180123, 1239722157]$ |
\(y^2=x^3-x^2-2180123x+1239722157\) |
6.2.0.a.1 |
$[(7684/3, 1331/3)]$ |
52800.t1 |
52800bz1 |
52800.t |
52800bz |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{6} \cdot 3 \cdot 5^{4} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$0.890009574$ |
$1$ |
|
$4$ |
$18432$ |
$0.302155$ |
$-25000000/3993$ |
$1.12461$ |
$2.56337$ |
$[0, -1, 0, -208, -1238]$ |
\(y^2=x^3-x^2-208x-1238\) |
132.2.0.? |
$[(27, 110)]$ |
52800.u1 |
52800ek1 |
52800.u |
52800ek |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{7} \cdot 11^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$2.194009010$ |
$1$ |
|
$17$ |
$98304$ |
$1.149694$ |
$15657723904/49005$ |
$0.93143$ |
$3.68414$ |
$[0, -1, 0, -13133, -573363]$ |
\(y^2=x^3-x^2-13133x-573363\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.? |
$[(-68, 25), (-67, 36)]$ |
52800.u2 |
52800ek2 |
52800.u |
52800ek |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{14} \cdot 3^{8} \cdot 5^{8} \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$8.776036043$ |
$1$ |
|
$11$ |
$196608$ |
$1.496269$ |
$-192143824/1804275$ |
$0.92027$ |
$3.79620$ |
$[0, -1, 0, -7633, -1062863]$ |
\(y^2=x^3-x^2-7633x-1062863\) |
2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.? |
$[(152, 1125), (208, 2511)]$ |
52800.v1 |
52800ej1 |
52800.v |
52800ej |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{17} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$0.585498292$ |
$1$ |
|
$14$ |
$15360$ |
$0.385247$ |
$-1488770/99$ |
$0.82182$ |
$2.69670$ |
$[0, -1, 0, -353, 2817]$ |
\(y^2=x^3-x^2-353x+2817\) |
88.2.0.? |
$[(13, 16), (-19, 48)]$ |
52800.w1 |
52800eh1 |
52800.w |
52800eh |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{11} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$737280$ |
$2.252979$ |
$4924392082991104/49825153125$ |
$1.02219$ |
$4.84824$ |
$[0, -1, 0, -893133, -321729363]$ |
\(y^2=x^3-x^2-893133x-321729363\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.c.1, 220.12.0.? |
$[]$ |
52800.w2 |
52800eh2 |
52800.w |
52800eh |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{14} \cdot 3^{4} \cdot 5^{16} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1474560$ |
$2.599552$ |
$-5095552972624/1052841796875$ |
$1.05049$ |
$5.01190$ |
$[0, -1, 0, -227633, -790906863]$ |
\(y^2=x^3-x^2-227633x-790906863\) |
2.3.0.a.1, 20.6.0.c.1, 22.6.0.a.1, 220.12.0.? |
$[]$ |
52800.x1 |
52800ei1 |
52800.x |
52800ei |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( 2^{16} \cdot 3^{7} \cdot 5^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$430080$ |
$1.912004$ |
$55635379958596/24057$ |
$1.02905$ |
$4.81842$ |
$[0, -1, 0, -801633, 276523137]$ |
\(y^2=x^3-x^2-801633x+276523137\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[]$ |
52800.x2 |
52800ei2 |
52800.x |
52800ei |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{17} \cdot 3^{14} \cdot 5^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$860160$ |
$2.258579$ |
$-27403349188178/578739249$ |
$1.02957$ |
$4.82034$ |
$[0, -1, 0, -797633, 279415137]$ |
\(y^2=x^3-x^2-797633x+279415137\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[]$ |
52800.y1 |
52800l1 |
52800.y |
52800l |
$2$ |
$5$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 11 \) |
\( - 2^{23} \cdot 3^{10} \cdot 5^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$440$ |
$48$ |
$1$ |
$2.282481389$ |
$1$ |
|
$2$ |
$230400$ |
$1.497536$ |
$-854307420745/20785248$ |
$0.97647$ |
$3.97363$ |
$[0, -1, 0, -36993, 2807937]$ |
\(y^2=x^3-x^2-36993x+2807937\) |
5.12.0.a.1, 40.24.0-5.a.1.3, 88.2.0.?, 110.24.0.?, 440.48.1.? |
$[(-177, 1944)]$ |