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 |
10944.a1 |
10944ce2 |
10944.a |
10944ce |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{19} \cdot 3^{6} \cdot 19^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$2280$ |
$48$ |
$1$ |
$3.759911303$ |
$1$ |
|
$2$ |
$57600$ |
$1.606812$ |
$-37966934881/4952198$ |
$0.97714$ |
$4.69129$ |
$[0, 0, 0, -40332, -3451120]$ |
\(y^2=x^3-40332x-3451120\) |
5.12.0.a.2, 120.24.0.?, 152.2.0.?, 760.24.1.?, 1140.24.0.?, $\ldots$ |
$[(290, 3040)]$ |
10944.a2 |
10944ce1 |
10944.a |
10944ce |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{23} \cdot 3^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$2280$ |
$48$ |
$1$ |
$0.751982260$ |
$1$ |
|
$4$ |
$11520$ |
$0.802093$ |
$-1/608$ |
$1.37833$ |
$3.54100$ |
$[0, 0, 0, -12, 16400]$ |
\(y^2=x^3-12x+16400\) |
5.12.0.a.1, 120.24.0.?, 152.2.0.?, 760.24.1.?, 1140.24.0.?, $\ldots$ |
$[(2, 128)]$ |
10944.b1 |
10944bp2 |
10944.b |
10944bp |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{14} \cdot 3^{3} \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1.162509937$ |
$1$ |
|
$19$ |
$7168$ |
$0.408163$ |
$445090032/19$ |
$0.91236$ |
$3.53890$ |
$[0, 0, 0, -1212, 16240]$ |
\(y^2=x^3-1212x+16240\) |
2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[(26, 48), (8, 84)]$ |
10944.b2 |
10944bp1 |
10944.b |
10944bp |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{10} \cdot 3^{3} \cdot 19^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1.162509937$ |
$1$ |
|
$17$ |
$3584$ |
$0.061589$ |
$-1492992/361$ |
$0.85758$ |
$2.66573$ |
$[0, 0, 0, -72, 280]$ |
\(y^2=x^3-72x+280\) |
2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.? |
$[(2, 12), (6, 8)]$ |
10944.c1 |
10944j2 |
10944.c |
10944j |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{14} \cdot 3^{3} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7168$ |
$0.408163$ |
$445090032/19$ |
$0.91236$ |
$3.53890$ |
$[0, 0, 0, -1212, -16240]$ |
\(y^2=x^3-1212x-16240\) |
2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[]$ |
10944.c2 |
10944j1 |
10944.c |
10944j |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{10} \cdot 3^{3} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3584$ |
$0.061589$ |
$-1492992/361$ |
$0.85758$ |
$2.66573$ |
$[0, 0, 0, -72, -280]$ |
\(y^2=x^3-72x-280\) |
2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.? |
$[]$ |
10944.d1 |
10944bl2 |
10944.d |
10944bl |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{19} \cdot 3^{6} \cdot 19^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$2280$ |
$48$ |
$1$ |
$0.402719952$ |
$1$ |
|
$4$ |
$57600$ |
$1.606812$ |
$-37966934881/4952198$ |
$0.97714$ |
$4.69129$ |
$[0, 0, 0, -40332, 3451120]$ |
\(y^2=x^3-40332x+3451120\) |
5.12.0.a.2, 120.24.0.?, 152.2.0.?, 570.24.0.?, 760.24.1.?, $\ldots$ |
$[(126, 608)]$ |
10944.d2 |
10944bl1 |
10944.d |
10944bl |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{23} \cdot 3^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$2280$ |
$48$ |
$1$ |
$2.013599764$ |
$1$ |
|
$2$ |
$11520$ |
$0.802093$ |
$-1/608$ |
$1.37833$ |
$3.54100$ |
$[0, 0, 0, -12, -16400]$ |
\(y^2=x^3-12x-16400\) |
5.12.0.a.1, 120.24.0.?, 152.2.0.?, 570.24.0.?, 760.24.1.?, $\ldots$ |
$[(126, 1408)]$ |
10944.e1 |
10944bk1 |
10944.e |
10944bk |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{6} \cdot 3^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1.699072265$ |
$1$ |
|
$2$ |
$2560$ |
$0.059331$ |
$-1404928/171$ |
$0.86512$ |
$2.69844$ |
$[0, 0, 0, -84, -326]$ |
\(y^2=x^3-84x-326\) |
38.2.0.a.1 |
$[(11, 9)]$ |
10944.f1 |
10944w1 |
10944.f |
10944w |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{14} \cdot 3^{12} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12288$ |
$0.879203$ |
$-81415168/13851$ |
$0.91437$ |
$3.73833$ |
$[0, 0, 0, -2064, -41056]$ |
\(y^2=x^3-2064x-41056\) |
38.2.0.a.1 |
$[]$ |
10944.g1 |
10944cp1 |
10944.g |
10944cp |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{14} \cdot 3^{8} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6144$ |
$0.466774$ |
$8192/171$ |
$0.94370$ |
$3.10347$ |
$[0, 0, 0, 96, 2144]$ |
\(y^2=x^3+96x+2144\) |
38.2.0.a.1 |
$[]$ |
10944.h1 |
10944v1 |
10944.h |
10944v |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{14} \cdot 3^{8} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6144$ |
$0.466774$ |
$8192/171$ |
$0.94370$ |
$3.10347$ |
$[0, 0, 0, 96, -2144]$ |
\(y^2=x^3+96x-2144\) |
38.2.0.a.1 |
$[]$ |
10944.i1 |
10944cq1 |
10944.i |
10944cq |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{14} \cdot 3^{12} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12288$ |
$0.879203$ |
$-81415168/13851$ |
$0.91437$ |
$3.73833$ |
$[0, 0, 0, -2064, 41056]$ |
\(y^2=x^3-2064x+41056\) |
38.2.0.a.1 |
$[]$ |
10944.j1 |
10944cd1 |
10944.j |
10944cd |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{6} \cdot 3^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$0.941130653$ |
$1$ |
|
$2$ |
$2560$ |
$0.059331$ |
$-1404928/171$ |
$0.86512$ |
$2.69844$ |
$[0, 0, 0, -84, 326]$ |
\(y^2=x^3-84x+326\) |
38.2.0.a.1 |
$[(7, 9)]$ |
10944.k1 |
10944d2 |
10944.k |
10944d |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{15} \cdot 3^{9} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$0.802940072$ |
$1$ |
|
$9$ |
$15360$ |
$0.883263$ |
$1061208/361$ |
$0.92600$ |
$3.67286$ |
$[0, 0, 0, -1836, 19440]$ |
\(y^2=x^3-1836x+19440\) |
2.3.0.a.1, 24.6.0.a.1, 152.6.0.?, 228.6.0.?, 456.12.0.? |
$[(-2, 152)]$ |
10944.k2 |
10944d1 |
10944.k |
10944d |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{9} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1.605880144$ |
$1$ |
|
$5$ |
$7680$ |
$0.536689$ |
$592704/19$ |
$0.87364$ |
$3.38665$ |
$[0, 0, 0, -756, -7776]$ |
\(y^2=x^3-756x-7776\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[(-14, 8)]$ |
10944.l1 |
10944bi3 |
10944.l |
10944bi |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{15} \cdot 3^{8} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$456$ |
$48$ |
$0$ |
$3.062678780$ |
$1$ |
|
$3$ |
$24576$ |
$1.259470$ |
$1311494070536/171$ |
$0.98353$ |
$4.82671$ |
$[0, 0, 0, -65676, 6478256]$ |
\(y^2=x^3-65676x+6478256\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.1, 24.24.0-8.m.1.6, $\ldots$ |
$[(164, 344)]$ |
10944.l2 |
10944bi2 |
10944.l |
10944bi |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{10} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$456$ |
$48$ |
$0$ |
$1.531339390$ |
$1$ |
|
$9$ |
$12288$ |
$0.912896$ |
$2582630848/29241$ |
$1.18849$ |
$3.93326$ |
$[0, 0, 0, -4116, 100640]$ |
\(y^2=x^3-4116x+100640\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.1, 76.12.0.?, $\ldots$ |
$[(2, 304)]$ |
10944.l3 |
10944bi4 |
10944.l |
10944bi |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{15} \cdot 3^{8} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$456$ |
$48$ |
$0$ |
$0.765669695$ |
$1$ |
|
$7$ |
$24576$ |
$1.259470$ |
$-3112136/1172889$ |
$1.03471$ |
$4.13095$ |
$[0, 0, 0, -876, 254864]$ |
\(y^2=x^3-876x+254864\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.2, 24.24.0-8.d.1.2, $\ldots$ |
$[(-11, 513)]$ |
10944.l4 |
10944bi1 |
10944.l |
10944bi |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{6} \cdot 3^{14} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$456$ |
$48$ |
$0$ |
$3.062678780$ |
$1$ |
|
$3$ |
$6144$ |
$0.566323$ |
$247673152/124659$ |
$0.96835$ |
$3.23402$ |
$[0, 0, 0, -471, -1420]$ |
\(y^2=x^3-471x-1420\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.5, 76.12.0.?, $\ldots$ |
$[(-4, 20)]$ |
10944.m1 |
10944g2 |
10944.m |
10944g |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{19} \cdot 3^{9} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$1.260841$ |
$149721291/722$ |
$0.93693$ |
$4.42860$ |
$[0, 0, 0, -19116, 1013040]$ |
\(y^2=x^3-19116x+1013040\) |
2.3.0.a.1, 24.6.0.a.1, 152.6.0.?, 228.6.0.?, 456.12.0.? |
$[]$ |
10944.m2 |
10944g1 |
10944.m |
10944g |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{9} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.914268$ |
$132651/76$ |
$1.00985$ |
$3.67286$ |
$[0, 0, 0, -1836, -3024]$ |
\(y^2=x^3-1836x-3024\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[]$ |
10944.n1 |
10944cb3 |
10944.n |
10944cb |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{18} \cdot 3^{10} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$456$ |
$48$ |
$0$ |
$1.053945323$ |
$1$ |
|
$7$ |
$24576$ |
$1.344019$ |
$115714886617/1539$ |
$0.98111$ |
$4.78926$ |
$[0, 0, 0, -58476, 5442640]$ |
\(y^2=x^3-58476x+5442640\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.z.1.2, 76.12.0.?, $\ldots$ |
$[(138, 32)]$ |
10944.n2 |
10944cb2 |
10944.n |
10944cb |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{18} \cdot 3^{8} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$456$ |
$48$ |
$0$ |
$2.107890646$ |
$1$ |
|
$9$ |
$12288$ |
$0.997445$ |
$30664297/3249$ |
$0.90727$ |
$3.90374$ |
$[0, 0, 0, -3756, 80080]$ |
\(y^2=x^3-3756x+80080\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.1, 76.12.0.?, $\ldots$ |
$[(-6, 320)]$ |
10944.n3 |
10944cb1 |
10944.n |
10944cb |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{18} \cdot 3^{7} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$456$ |
$48$ |
$0$ |
$1.053945323$ |
$1$ |
|
$5$ |
$6144$ |
$0.650871$ |
$389017/57$ |
$0.96267$ |
$3.43417$ |
$[0, 0, 0, -876, -8624]$ |
\(y^2=x^3-876x-8624\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.z.1.6, 114.6.0.?, $\ldots$ |
$[(-16, 36)]$ |
10944.n4 |
10944cb4 |
10944.n |
10944cb |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{18} \cdot 3^{7} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$456$ |
$48$ |
$0$ |
$4.215781293$ |
$1$ |
|
$3$ |
$24576$ |
$1.344019$ |
$67419143/390963$ |
$0.97474$ |
$4.22494$ |
$[0, 0, 0, 4884, 394576]$ |
\(y^2=x^3+4884x+394576\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.4, 12.12.0.g.1, $\ldots$ |
$[(48, 860)]$ |
10944.o1 |
10944bh3 |
10944.o |
10944bh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{18} \cdot 3^{10} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$456$ |
$48$ |
$0$ |
$6.088655228$ |
$1$ |
|
$1$ |
$24576$ |
$1.344019$ |
$115714886617/1539$ |
$0.98111$ |
$4.78926$ |
$[0, 0, 0, -58476, -5442640]$ |
\(y^2=x^3-58476x-5442640\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.z.1.10, 76.12.0.?, $\ldots$ |
$[(3409/2, 189945/2)]$ |
10944.o2 |
10944bh2 |
10944.o |
10944bh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{18} \cdot 3^{8} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$456$ |
$48$ |
$0$ |
$3.044327614$ |
$1$ |
|
$7$ |
$12288$ |
$0.997445$ |
$30664297/3249$ |
$0.90727$ |
$3.90374$ |
$[0, 0, 0, -3756, -80080]$ |
\(y^2=x^3-3756x-80080\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.2, 76.12.0.?, $\ldots$ |
$[(-28, 56)]$ |
10944.o3 |
10944bh1 |
10944.o |
10944bh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{18} \cdot 3^{7} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$456$ |
$48$ |
$0$ |
$1.522163807$ |
$1$ |
|
$5$ |
$6144$ |
$0.650871$ |
$389017/57$ |
$0.96267$ |
$3.43417$ |
$[0, 0, 0, -876, 8624]$ |
\(y^2=x^3-876x+8624\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.z.1.14, 114.6.0.?, $\ldots$ |
$[(4, 72)]$ |
10944.o4 |
10944bh4 |
10944.o |
10944bh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{18} \cdot 3^{7} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$456$ |
$48$ |
$0$ |
$1.522163807$ |
$1$ |
|
$7$ |
$24576$ |
$1.344019$ |
$67419143/390963$ |
$0.97474$ |
$4.22494$ |
$[0, 0, 0, 4884, -394576]$ |
\(y^2=x^3+4884x-394576\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.3, 12.12.0.g.1, $\ldots$ |
$[(109, 1197)]$ |
10944.p1 |
10944bn2 |
10944.p |
10944bn |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{19} \cdot 3^{9} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$1.260841$ |
$149721291/722$ |
$0.93693$ |
$4.42860$ |
$[0, 0, 0, -19116, -1013040]$ |
\(y^2=x^3-19116x-1013040\) |
2.3.0.a.1, 24.6.0.a.1, 152.6.0.?, 228.6.0.?, 456.12.0.? |
$[]$ |
10944.p2 |
10944bn1 |
10944.p |
10944bn |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{9} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.914268$ |
$132651/76$ |
$1.00985$ |
$3.67286$ |
$[0, 0, 0, -1836, 3024]$ |
\(y^2=x^3-1836x+3024\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[]$ |
10944.q1 |
10944s3 |
10944.q |
10944s |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{15} \cdot 3^{8} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$24576$ |
$1.259470$ |
$1311494070536/171$ |
$0.98353$ |
$4.82671$ |
$[0, 0, 0, -65676, -6478256]$ |
\(y^2=x^3-65676x-6478256\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.2, 24.24.0-8.m.1.8, $\ldots$ |
$[]$ |
10944.q2 |
10944s2 |
10944.q |
10944s |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{10} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$12288$ |
$0.912896$ |
$2582630848/29241$ |
$1.18849$ |
$3.93326$ |
$[0, 0, 0, -4116, -100640]$ |
\(y^2=x^3-4116x-100640\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.2, 76.12.0.?, $\ldots$ |
$[]$ |
10944.q3 |
10944s4 |
10944.q |
10944s |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{15} \cdot 3^{8} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.259470$ |
$-3112136/1172889$ |
$1.03471$ |
$4.13095$ |
$[0, 0, 0, -876, -254864]$ |
\(y^2=x^3-876x-254864\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.1, 24.24.0-8.d.1.1, $\ldots$ |
$[]$ |
10944.q4 |
10944s1 |
10944.q |
10944s |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{6} \cdot 3^{14} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$0.566323$ |
$247673152/124659$ |
$0.96835$ |
$3.23402$ |
$[0, 0, 0, -471, 1420]$ |
\(y^2=x^3-471x+1420\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.7, 76.12.0.?, $\ldots$ |
$[]$ |
10944.r1 |
10944h2 |
10944.r |
10944h |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{15} \cdot 3^{9} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$15360$ |
$0.883263$ |
$1061208/361$ |
$0.92600$ |
$3.67286$ |
$[0, 0, 0, -1836, -19440]$ |
\(y^2=x^3-1836x-19440\) |
2.3.0.a.1, 24.6.0.a.1, 152.6.0.?, 228.6.0.?, 456.12.0.? |
$[]$ |
10944.r2 |
10944h1 |
10944.r |
10944h |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{9} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$0.536689$ |
$592704/19$ |
$0.87364$ |
$3.38665$ |
$[0, 0, 0, -756, 7776]$ |
\(y^2=x^3-756x+7776\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[]$ |
10944.s1 |
10944bc1 |
10944.s |
10944bc |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{14} \cdot 3^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$2.344808419$ |
$1$ |
|
$2$ |
$3072$ |
$0.284400$ |
$-1024/19$ |
$0.79665$ |
$2.87355$ |
$[0, 0, 0, -48, -736]$ |
\(y^2=x^3-48x-736\) |
38.2.0.a.1 |
$[(25, 117)]$ |
10944.t1 |
10944bd1 |
10944.t |
10944bd |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{14} \cdot 3^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1.176004532$ |
$1$ |
|
$2$ |
$4608$ |
$0.454949$ |
$-4194304/19$ |
$1.07903$ |
$3.39257$ |
$[0, 0, 0, -768, 8224]$ |
\(y^2=x^3-768x+8224\) |
38.2.0.a.1 |
$[(17, 9)]$ |
10944.u1 |
10944r1 |
10944.u |
10944r |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{6} \cdot 3^{14} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12288$ |
$1.069675$ |
$-91368216064/45001899$ |
$0.98987$ |
$3.93574$ |
$[0, 0, 0, -3378, -102814]$ |
\(y^2=x^3-3378x-102814\) |
38.2.0.a.1 |
$[]$ |
10944.v1 |
10944bu1 |
10944.v |
10944bu |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{6} \cdot 3^{10} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1.505943884$ |
$1$ |
|
$2$ |
$2048$ |
$0.188757$ |
$175616/1539$ |
$0.88880$ |
$2.73918$ |
$[0, 0, 0, 42, 394]$ |
\(y^2=x^3+42x+394\) |
38.2.0.a.1 |
$[(5, 27)]$ |
10944.w1 |
10944q1 |
10944.w |
10944q |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{6} \cdot 3^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1024$ |
$-0.166262$ |
$-13824/19$ |
$0.69588$ |
$2.31181$ |
$[0, 0, 0, -18, -54]$ |
\(y^2=x^3-18x-54\) |
38.2.0.a.1 |
$[]$ |
10944.x1 |
10944cl1 |
10944.x |
10944cl |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{6} \cdot 3^{10} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2048$ |
$0.188757$ |
$175616/1539$ |
$0.88880$ |
$2.73918$ |
$[0, 0, 0, 42, -394]$ |
\(y^2=x^3+42x-394\) |
38.2.0.a.1 |
$[]$ |
10944.y1 |
10944ba1 |
10944.y |
10944ba |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{6} \cdot 3^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$0.866768036$ |
$1$ |
|
$2$ |
$1024$ |
$-0.166262$ |
$-13824/19$ |
$0.69588$ |
$2.31181$ |
$[0, 0, 0, -18, 54]$ |
\(y^2=x^3-18x+54\) |
38.2.0.a.1 |
$[(-3, 9)]$ |
10944.z1 |
10944bb1 |
10944.z |
10944bb |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{6} \cdot 3^{14} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$0.999167610$ |
$1$ |
|
$2$ |
$12288$ |
$1.069675$ |
$-91368216064/45001899$ |
$0.98987$ |
$3.93574$ |
$[0, 0, 0, -3378, 102814]$ |
\(y^2=x^3-3378x+102814\) |
38.2.0.a.1 |
$[(29, 171)]$ |
10944.ba1 |
10944bw1 |
10944.ba |
10944bw |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{14} \cdot 3^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$5.157158346$ |
$1$ |
|
$2$ |
$4608$ |
$0.454949$ |
$-4194304/19$ |
$1.07903$ |
$3.39257$ |
$[0, 0, 0, -768, -8224]$ |
\(y^2=x^3-768x-8224\) |
38.2.0.a.1 |
$[(505, 11331)]$ |
10944.bb1 |
10944bv1 |
10944.bb |
10944bv |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{14} \cdot 3^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1.682136446$ |
$1$ |
|
$2$ |
$3072$ |
$0.284400$ |
$-1024/19$ |
$0.79665$ |
$2.87355$ |
$[0, 0, 0, -48, 736]$ |
\(y^2=x^3-48x+736\) |
38.2.0.a.1 |
$[(-7, 27)]$ |
10944.bc1 |
10944cj1 |
10944.bc |
10944cj |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( 2^{20} \cdot 3^{11} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30720$ |
$1.408337$ |
$96386901625/18468$ |
$0.97983$ |
$4.76961$ |
$[0, 0, 0, -55020, -4966576]$ |
\(y^2=x^3-55020x-4966576\) |
2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.? |
$[]$ |
10944.bc2 |
10944cj2 |
10944.bc |
10944cj |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
\( - 2^{19} \cdot 3^{16} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$61440$ |
$1.754910$ |
$-69173457625/42633378$ |
$0.99175$ |
$4.81190$ |
$[0, 0, 0, -49260, -6047152]$ |
\(y^2=x^3-49260x-6047152\) |
2.3.0.a.1, 8.6.0.a.1, 228.6.0.?, 456.12.0.? |
$[]$ |