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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
26928.a1 |
26928e2 |
26928.a |
26928e |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{11} \cdot 3^{3} \cdot 11^{6} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1.537388715$ |
$1$ |
|
$17$ |
$67584$ |
$1.046568$ |
$86265529686/30116537$ |
$[0, 0, 0, -3507, -50350]$ |
\(y^2=x^3-3507x-50350\) |
2.3.0.a.1, 132.6.0.?, 408.6.0.?, 1496.6.0.?, 4488.12.0.? |
$[(-17, 66), (82, 462)]$ |
26928.a2 |
26928e1 |
26928.a |
26928e |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{10} \cdot 3^{3} \cdot 11^{3} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$0.384347178$ |
$1$ |
|
$29$ |
$33792$ |
$0.699994$ |
$12628458252/384659$ |
$[0, 0, 0, -1467, 21050]$ |
\(y^2=x^3-1467x+21050\) |
2.3.0.a.1, 66.6.0.a.1, 408.6.0.?, 1496.6.0.?, 4488.12.0.? |
$[(59, 374), (-7, 176)]$ |
26928.b1 |
26928u1 |
26928.b |
26928u |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{10} \cdot 3^{6} \cdot 11^{2} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$1.106693633$ |
$1$ |
|
$19$ |
$34816$ |
$0.824106$ |
$34410094596/2057$ |
$[0, 0, 0, -6147, 185490]$ |
\(y^2=x^3-6147x+185490\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[(49, 44), (43, 26)]$ |
26928.b2 |
26928u2 |
26928.b |
26928u |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{11} \cdot 3^{6} \cdot 11^{4} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$136$ |
$12$ |
$0$ |
$0.276673408$ |
$1$ |
|
$37$ |
$69632$ |
$1.170681$ |
$-14355776178/4231249$ |
$[0, 0, 0, -5787, 208170]$ |
\(y^2=x^3-5787x+208170\) |
2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? |
$[(9, 396), (-39, 612)]$ |
26928.c1 |
26928c2 |
26928.c |
26928c |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{10} \cdot 3^{3} \cdot 11^{10} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$471040$ |
$2.026100$ |
$23152316479601292/7495915709689$ |
$[0, 0, 0, -179547, -19435910]$ |
\(y^2=x^3-179547x-19435910\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.? |
$[]$ |
26928.c2 |
26928c1 |
26928.c |
26928c |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{8} \cdot 3^{3} \cdot 11^{5} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$235520$ |
$1.679527$ |
$68285541719739888/13451140571$ |
$[0, 0, 0, -162207, -25140770]$ |
\(y^2=x^3-162207x-25140770\) |
2.3.0.a.1, 12.6.0.b.1, 44.6.0.e.1, 66.6.0.a.1, 132.12.0.? |
$[]$ |
26928.d1 |
26928w2 |
26928.d |
26928w |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{12} \cdot 3^{3} \cdot 11^{6} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1228800$ |
$2.660667$ |
$9776604686860471347243/147962546281$ |
$[0, 0, 0, -21382707, 38057664690]$ |
\(y^2=x^3-21382707x+38057664690\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.? |
$[]$ |
26928.d2 |
26928w1 |
26928.d |
26928w |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{12} \cdot 3^{3} \cdot 11^{3} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$614400$ |
$2.314095$ |
$2393558463315519963/9284733153971$ |
$[0, 0, 0, -1337667, 593484930]$ |
\(y^2=x^3-1337667x+593484930\) |
2.3.0.a.1, 12.6.0.b.1, 44.6.0.e.1, 66.6.0.a.1, 132.12.0.? |
$[]$ |
26928.e1 |
26928ca1 |
26928.e |
26928ca |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{7} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$1.418319087$ |
$1$ |
|
$7$ |
$73728$ |
$1.286821$ |
$832972004929/610368$ |
$[0, 0, 0, -28227, -1824190]$ |
\(y^2=x^3-28227x-1824190\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[(-97, 34)]$ |
26928.e2 |
26928ca2 |
26928.e |
26928ca |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{15} \cdot 3^{8} \cdot 11^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$0.709159543$ |
$1$ |
|
$9$ |
$147456$ |
$1.633394$ |
$-420021471169/727634952$ |
$[0, 0, 0, -22467, -2590270]$ |
\(y^2=x^3-22467x-2590270\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[(241, 2448)]$ |
26928.f1 |
26928v1 |
26928.f |
26928v |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{8} \cdot 3^{9} \cdot 11 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30720$ |
$0.653556$ |
$192143824/85833$ |
$[0, 0, 0, -687, 3310]$ |
\(y^2=x^3-687x+3310\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[]$ |
26928.f2 |
26928v2 |
26928.f |
26928v |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{10} \cdot 3^{12} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$61440$ |
$1.000130$ |
$1979654684/1499553$ |
$[0, 0, 0, 2373, 24730]$ |
\(y^2=x^3+2373x+24730\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[]$ |
26928.g1 |
26928bf1 |
26928.g |
26928bf |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{12} \cdot 3^{6} \cdot 11^{3} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$3.708547316$ |
$1$ |
|
$2$ |
$38400$ |
$0.767339$ |
$37933056/22627$ |
$[0, 0, 0, 1008, 2160]$ |
\(y^2=x^3+1008x+2160\) |
374.2.0.? |
$[(105, 1125)]$ |
26928.h1 |
26928bz2 |
26928.h |
26928bz |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{12} \cdot 3^{6} \cdot 11 \cdot 17^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$132$ |
$16$ |
$0$ |
$3.073369988$ |
$1$ |
|
$2$ |
$103680$ |
$1.546902$ |
$-108394872832/265513259$ |
$[0, 0, 0, -14304, -1506256]$ |
\(y^2=x^3-14304x-1506256\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 22.2.0.a.1, 66.8.0.a.1, 132.16.0.? |
$[(1433, 54043)]$ |
26928.h2 |
26928bz1 |
26928.h |
26928bz |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{12} \cdot 3^{6} \cdot 11^{3} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$132$ |
$16$ |
$0$ |
$1.024456662$ |
$1$ |
|
$2$ |
$34560$ |
$0.997595$ |
$134217728/384659$ |
$[0, 0, 0, 1536, 46064]$ |
\(y^2=x^3+1536x+46064\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 22.2.0.a.1, 66.8.0.a.1, 132.16.0.? |
$[(-7, 187)]$ |
26928.i1 |
26928bm1 |
26928.i |
26928bm |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{6} \cdot 11 \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21504$ |
$0.744395$ |
$-52714340352/3179$ |
$[0, 0, 0, -4464, -114804]$ |
\(y^2=x^3-4464x-114804\) |
22.2.0.a.1 |
$[]$ |
26928.j1 |
26928be4 |
26928.j |
26928be |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{19} \cdot 3^{14} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$408$ |
$48$ |
$0$ |
$19.42235071$ |
$1$ |
|
$1$ |
$2064384$ |
$3.084721$ |
$306234591284035366263793/1727485056$ |
$[0, 0, 0, -202211571, -1106769336910]$ |
\(y^2=x^3-202211571x-1106769336910\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.5, 136.24.0.?, $\ldots$ |
$[(12137791039/559, 1230765438610170/559)]$ |
26928.j2 |
26928be2 |
26928.j |
26928be |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{26} \cdot 3^{10} \cdot 11^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$408$ |
$48$ |
$0$ |
$9.711175358$ |
$1$ |
|
$3$ |
$1032192$ |
$2.738148$ |
$74768347616680342513/5615307472896$ |
$[0, 0, 0, -12638451, -17292616270]$ |
\(y^2=x^3-12638451x-17292616270\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.1, 68.12.0.b.1, $\ldots$ |
$[(-165497/9, 557882/9)]$ |
26928.j3 |
26928be3 |
26928.j |
26928be |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{19} \cdot 3^{8} \cdot 11^{8} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$408$ |
$48$ |
$0$ |
$4.855587679$ |
$1$ |
|
$3$ |
$2064384$ |
$3.084721$ |
$-60992553706117024753/20624795251201152$ |
$[0, 0, 0, -11809011, -19660335694]$ |
\(y^2=x^3-11809011x-19660335694\) |
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, $\ldots$ |
$[(150601, 58428864)]$ |
26928.j4 |
26928be1 |
26928.j |
26928be |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{40} \cdot 3^{8} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$408$ |
$48$ |
$0$ |
$4.855587679$ |
$1$ |
|
$3$ |
$516096$ |
$2.391575$ |
$22106889268753393/4969545596928$ |
$[0, 0, 0, -841971, -232546894]$ |
\(y^2=x^3-841971x-232546894\) |
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, $\ldots$ |
$[(-425, 6966)]$ |
26928.k1 |
26928p4 |
26928.k |
26928p |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{10} \cdot 3^{9} \cdot 11 \cdot 17^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$4488$ |
$48$ |
$0$ |
$1.092706693$ |
$1$ |
|
$13$ |
$73728$ |
$1.472214$ |
$28742820444292/24805737$ |
$[0, 0, 0, -57891, 5357234]$ |
\(y^2=x^3-57891x+5357234\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 66.6.0.a.1, 132.24.0.?, 408.24.0.?, $\ldots$ |
$[(145, 108)]$ |
26928.k2 |
26928p3 |
26928.k |
26928p |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{10} \cdot 3^{18} \cdot 11 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$4488$ |
$48$ |
$0$ |
$4.370826774$ |
$1$ |
|
$3$ |
$73728$ |
$1.472214$ |
$8187726931492/99379467$ |
$[0, 0, 0, -38091, -2831254]$ |
\(y^2=x^3-38091x-2831254\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 132.12.0.?, 204.12.0.?, $\ldots$ |
$[(-106, 124)]$ |
26928.k3 |
26928p2 |
26928.k |
26928p |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{8} \cdot 3^{12} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2244$ |
$48$ |
$0$ |
$2.185413387$ |
$1$ |
|
$9$ |
$36864$ |
$1.125639$ |
$51553893328/25492401$ |
$[0, 0, 0, -4431, 43310]$ |
\(y^2=x^3-4431x+43310\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 132.24.0.?, 204.24.0.?, 748.24.0.?, $\ldots$ |
$[(-7, 272)]$ |
26928.k4 |
26928p1 |
26928.k |
26928p |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{4} \cdot 3^{9} \cdot 11^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$4488$ |
$48$ |
$0$ |
$4.370826774$ |
$1$ |
|
$3$ |
$18432$ |
$0.779066$ |
$9885304832/6720219$ |
$[0, 0, 0, 1014, 5195]$ |
\(y^2=x^3+1014x+5195\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 102.6.0.?, 204.24.0.?, 264.24.0.?, $\ldots$ |
$[(59, 520)]$ |
26928.l1 |
26928bp4 |
26928.l |
26928bp |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{13} \cdot 3^{8} \cdot 11^{8} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$408$ |
$48$ |
$0$ |
$2.008633953$ |
$1$ |
|
$17$ |
$294912$ |
$2.060711$ |
$803760366578833/65593817586$ |
$[0, 0, 0, -278931, -52551470]$ |
\(y^2=x^3-278931x-52551470\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.5, 136.24.0.?, $\ldots$ |
$[(-337, 1782), (-249, 1210)]$ |
26928.l2 |
26928bp2 |
26928.l |
26928bp |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{14} \cdot 3^{10} \cdot 11^{4} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$408$ |
$48$ |
$0$ |
$2.008633953$ |
$1$ |
|
$29$ |
$147456$ |
$1.714140$ |
$7457162887153/1370924676$ |
$[0, 0, 0, -58611, 4511410]$ |
\(y^2=x^3-58611x+4511410\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.1, 68.12.0.b.1, $\ldots$ |
$[(23, 1782), (233, 1872)]$ |
26928.l3 |
26928bp1 |
26928.l |
26928bp |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{16} \cdot 3^{8} \cdot 11^{2} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$408$ |
$48$ |
$0$ |
$2.008633953$ |
$1$ |
|
$17$ |
$73728$ |
$1.367565$ |
$6411014266033/296208$ |
$[0, 0, 0, -55731, 5063794]$ |
\(y^2=x^3-55731x+5063794\) |
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, $\ldots$ |
$[(135, 22), (146, 198)]$ |
26928.l4 |
26928bp3 |
26928.l |
26928bp |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{13} \cdot 3^{14} \cdot 11^{2} \cdot 17^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$408$ |
$48$ |
$0$ |
$2.008633953$ |
$1$ |
|
$21$ |
$294912$ |
$2.060711$ |
$57258048889007/132611470002$ |
$[0, 0, 0, 115629, 26221714]$ |
\(y^2=x^3+115629x+26221714\) |
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, $\ldots$ |
$[(65, 5832), (111, 6358)]$ |
26928.m1 |
26928by4 |
26928.m |
26928by |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{14} \cdot 3^{26} \cdot 11^{3} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$4488$ |
$48$ |
$0$ |
$4.429928785$ |
$1$ |
|
$3$ |
$2949120$ |
$3.132721$ |
$12534210458299016895673/315581882565708$ |
$[0, 0, 0, -69687291, 223907705386]$ |
\(y^2=x^3-69687291x+223907705386\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 132.12.0.?, 204.12.0.?, $\ldots$ |
$[(4863, 4730)]$ |
26928.m2 |
26928by2 |
26928.m |
26928by |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{16} \cdot 3^{16} \cdot 11^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2244$ |
$48$ |
$0$ |
$2.214964392$ |
$1$ |
|
$9$ |
$1474560$ |
$2.786144$ |
$3423676911662954233/483711578981136$ |
$[0, 0, 0, -4521531, 3217342570]$ |
\(y^2=x^3-4521531x+3217342570\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 132.24.0.?, 204.24.0.?, 748.24.0.?, $\ldots$ |
$[(749, 15840)]$ |
26928.m3 |
26928by1 |
26928.m |
26928by |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{20} \cdot 3^{11} \cdot 11^{3} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$4488$ |
$48$ |
$0$ |
$1.107482196$ |
$1$ |
|
$7$ |
$737280$ |
$2.439571$ |
$62768149033310713/6915442583808$ |
$[0, 0, 0, -1192251, -450858134]$ |
\(y^2=x^3-1192251x-450858134\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 66.6.0.a.1, 132.24.0.?, 408.24.0.?, $\ldots$ |
$[(-481, 3366)]$ |
26928.m4 |
26928by3 |
26928.m |
26928by |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{14} \cdot 3^{11} \cdot 11^{12} \cdot 17 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$4488$ |
$48$ |
$0$ |
$4.429928785$ |
$1$ |
|
$7$ |
$2949120$ |
$3.132721$ |
$14861225463775641287/51859390496937804$ |
$[0, 0, 0, 7375749, 17291824810]$ |
\(y^2=x^3+7375749x+17291824810\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 102.6.0.?, 204.24.0.?, 264.24.0.?, $\ldots$ |
$[(6758, 613008)]$ |
26928.n1 |
26928a2 |
26928.n |
26928a |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{8} \cdot 3^{9} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1.474997736$ |
$1$ |
|
$5$ |
$15360$ |
$0.717227$ |
$64314864/3179$ |
$[0, 0, 0, -1431, 19926]$ |
\(y^2=x^3-1431x+19926\) |
2.3.0.a.1, 66.6.0.a.1, 204.6.0.?, 748.6.0.?, 2244.12.0.? |
$[(1, 136)]$ |
26928.n2 |
26928a1 |
26928.n |
26928a |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{4} \cdot 3^{9} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$2.949995473$ |
$1$ |
|
$3$ |
$7680$ |
$0.370653$ |
$55296/2057$ |
$[0, 0, 0, 54, 1215]$ |
\(y^2=x^3+54x+1215\) |
2.3.0.a.1, 102.6.0.?, 132.6.0.?, 748.6.0.?, 2244.12.0.? |
$[(7, 44)]$ |
26928.o1 |
26928bn4 |
26928.o |
26928bn |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{12} \cdot 3^{7} \cdot 11 \cdot 17^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$2.471504514$ |
$1$ |
|
$17$ |
$65536$ |
$1.333509$ |
$666940371553/2756193$ |
$[0, 0, 0, -26211, -1627486]$ |
\(y^2=x^3-26211x-1627486\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 44.12.0-4.c.1.2, 66.6.0.a.1, $\ldots$ |
$[(-95, 72), (-89, 18)]$ |
26928.o2 |
26928bn2 |
26928.o |
26928bn |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{12} \cdot 3^{8} \cdot 11^{2} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2244$ |
$48$ |
$0$ |
$2.471504514$ |
$1$ |
|
$29$ |
$32768$ |
$0.986937$ |
$545338513/314721$ |
$[0, 0, 0, -2451, 2450]$ |
\(y^2=x^3-2451x+2450\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 44.12.0-2.a.1.1, 68.12.0.a.1, 132.24.0.?, $\ldots$ |
$[(-23, 216), (82, 594)]$ |
26928.o3 |
26928bn1 |
26928.o |
26928bn |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{12} \cdot 3^{7} \cdot 11 \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$2.471504514$ |
$1$ |
|
$15$ |
$16384$ |
$0.640363$ |
$192100033/561$ |
$[0, 0, 0, -1731, 27650]$ |
\(y^2=x^3-1731x+27650\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 44.12.0-4.c.1.1, 136.12.0.?, $\ldots$ |
$[(7, 126), (23, 2)]$ |
26928.o4 |
26928bn3 |
26928.o |
26928bn |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{12} \cdot 3^{10} \cdot 11^{4} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$2.471504514$ |
$1$ |
|
$15$ |
$65536$ |
$1.333509$ |
$34741712447/20160657$ |
$[0, 0, 0, 9789, 19586]$ |
\(y^2=x^3+9789x+19586\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 68.12.0.h.1, 88.12.0.?, $\ldots$ |
$[(31, 594), (79, 1134)]$ |
26928.p1 |
26928y1 |
26928.p |
26928y |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{12} \cdot 3^{9} \cdot 11^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$2.277657061$ |
$1$ |
|
$7$ |
$55296$ |
$1.292149$ |
$1187648379/384659$ |
$[0, 0, 0, -9531, -237654]$ |
\(y^2=x^3-9531x-237654\) |
2.3.0.a.1, 66.6.0.a.1, 204.6.0.?, 748.6.0.?, 2244.12.0.? |
$[(-81, 54)]$ |
26928.p2 |
26928y2 |
26928.p |
26928y |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{12} \cdot 3^{9} \cdot 11^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$4.555314123$ |
$1$ |
|
$5$ |
$110592$ |
$1.638723$ |
$27570978261/30116537$ |
$[0, 0, 0, 27189, -1625670]$ |
\(y^2=x^3+27189x-1625670\) |
2.3.0.a.1, 102.6.0.?, 132.6.0.?, 748.6.0.?, 2244.12.0.? |
$[(55, 190)]$ |
26928.q1 |
26928bk2 |
26928.q |
26928bk |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{17} \cdot 3^{8} \cdot 11^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$2.019398$ |
$2940001530995593/8673562656$ |
$[0, 0, 0, -429771, -108166790]$ |
\(y^2=x^3-429771x-108166790\) |
2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.? |
$[]$ |
26928.q2 |
26928bk1 |
26928.q |
26928bk |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{22} \cdot 3^{7} \cdot 11^{3} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.672825$ |
$2046931732873/1181672448$ |
$[0, 0, 0, -38091, -141446]$ |
\(y^2=x^3-38091x-141446\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[]$ |
26928.r1 |
26928bd2 |
26928.r |
26928bd |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{13} \cdot 3^{8} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1.283431098$ |
$1$ |
|
$5$ |
$36864$ |
$1.184443$ |
$666940371553/37026$ |
$[0, 0, 0, -26211, 1633250]$ |
\(y^2=x^3-26211x+1633250\) |
2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.? |
$[(103, 162)]$ |
26928.r2 |
26928bd1 |
26928.r |
26928bd |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{14} \cdot 3^{7} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$0.641715549$ |
$1$ |
|
$7$ |
$18432$ |
$0.837868$ |
$192100033/38148$ |
$[0, 0, 0, -1731, 22466]$ |
\(y^2=x^3-1731x+22466\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[(1, 144)]$ |
26928.s1 |
26928bo2 |
26928.s |
26928bo |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{25} \cdot 3^{32} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$6230016$ |
$3.716114$ |
$150476552140919246594353/42832838728685592576$ |
$[0, 0, 0, -159567411, 553033115890]$ |
\(y^2=x^3-159567411x+553033115890\) |
2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.? |
$[]$ |
26928.s2 |
26928bo1 |
26928.s |
26928bo |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{38} \cdot 3^{19} \cdot 11 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$3115008$ |
$3.369541$ |
$7722211175253055152433/340131399900069888$ |
$[0, 0, 0, -59297331, -168931514126]$ |
\(y^2=x^3-59297331x-168931514126\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[]$ |
26928.t1 |
26928j4 |
26928.t |
26928j |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{11} \cdot 3^{9} \cdot 11 \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$2.237511$ |
$3590504967602306/2071799959977$ |
$[0, 0, 0, -364611, 4568290]$ |
\(y^2=x^3-364611x+4568290\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.5, 44.12.0-4.c.1.2, $\ldots$ |
$[]$ |
26928.t2 |
26928j2 |
26928.t |
26928j |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{10} \cdot 3^{12} \cdot 11^{2} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$196608$ |
$1.890938$ |
$2535093488117092/7367303889$ |
$[0, 0, 0, -257691, 50223130]$ |
\(y^2=x^3-257691x+50223130\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.1, 44.12.0-2.a.1.1, $\ldots$ |
$[]$ |
26928.t3 |
26928j1 |
26928.t |
26928j |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{8} \cdot 3^{9} \cdot 11 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.544363$ |
$10119139303540048/85833$ |
$[0, 0, 0, -257511, 50296966]$ |
\(y^2=x^3-257511x+50296966\) |
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, $\ldots$ |
$[]$ |
26928.t4 |
26928j3 |
26928.t |
26928j |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{11} \cdot 3^{18} \cdot 11^{4} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$2.237511$ |
$-268702931670626/2248659199809$ |
$[0, 0, 0, -153651, 91152466]$ |
\(y^2=x^3-153651x+91152466\) |
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, $\ldots$ |
$[]$ |