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 |
3366.a1 |
3366g1 |
3366.a |
3366g |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{7} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$0.536542113$ |
$1$ |
|
$11$ |
$3072$ |
$0.593674$ |
$832972004929/610368$ |
$1.08401$ |
$4.19135$ |
$[1, -1, 0, -1764, 28944]$ |
\(y^2+xy=x^3-x^2-1764x+28944\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[(16, 60)]$ |
3366.a2 |
3366g2 |
3366.a |
3366g |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{3} \cdot 3^{8} \cdot 11^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$0.268271056$ |
$1$ |
|
$12$ |
$6144$ |
$0.940248$ |
$-420021471169/727634952$ |
$0.93771$ |
$4.27754$ |
$[1, -1, 0, -1404, 40824]$ |
\(y^2+xy=x^3-x^2-1404x+40824\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[(-9, 234)]$ |
3366.b1 |
3366b2 |
3366.b |
3366b |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{13} \cdot 3^{32} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$259584$ |
$3.022968$ |
$150476552140919246594353/42832838728685592576$ |
$1.04321$ |
$7.38286$ |
$[1, -1, 0, -9972963, -8638649195]$ |
\(y^2+xy=x^3-x^2-9972963x-8638649195\) |
2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.? |
$[ ]$ |
3366.b2 |
3366b1 |
3366.b |
3366b |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{26} \cdot 3^{19} \cdot 11 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$129792$ |
$2.676395$ |
$7722211175253055152433/340131399900069888$ |
$1.02892$ |
$7.01720$ |
$[1, -1, 0, -3706083, 2640481429]$ |
\(y^2+xy=x^3-x^2-3706083x+2640481429\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[ ]$ |
3366.c1 |
3366i2 |
3366.c |
3366i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2 \cdot 3^{8} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1.458788766$ |
$1$ |
|
$6$ |
$1536$ |
$0.491294$ |
$666940371553/37026$ |
$1.02770$ |
$4.16397$ |
$[1, -1, 0, -1638, -25110]$ |
\(y^2+xy=x^3-x^2-1638x-25110\) |
2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.? |
$[(-23, 12)]$ |
3366.c2 |
3366i1 |
3366.c |
3366i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{2} \cdot 3^{7} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$0.729394383$ |
$1$ |
|
$9$ |
$768$ |
$0.144721$ |
$192100033/38148$ |
$0.83997$ |
$3.16016$ |
$[1, -1, 0, -108, -324]$ |
\(y^2+xy=x^3-x^2-108x-324\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[(-6, 12)]$ |
3366.d1 |
3366c3 |
3366.d |
3366c |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2 \cdot 3^{8} \cdot 11^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$408$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12288$ |
$1.367565$ |
$803760366578833/65593817586$ |
$0.96549$ |
$5.03750$ |
$[1, -1, 0, -17433, 825475]$ |
\(y^2+xy=x^3-x^2-17433x+825475\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.7, 136.24.0.?, $\ldots$ |
$[ ]$ |
3366.d2 |
3366c2 |
3366.d |
3366c |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{2} \cdot 3^{10} \cdot 11^{4} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$408$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$6144$ |
$1.020992$ |
$7457162887153/1370924676$ |
$0.94001$ |
$4.46124$ |
$[1, -1, 0, -3663, -69575]$ |
\(y^2+xy=x^3-x^2-3663x-69575\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.2, 68.12.0.b.1, $\ldots$ |
$[ ]$ |
3366.d3 |
3366c1 |
3366.d |
3366c |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{4} \cdot 3^{8} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$408$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.674418$ |
$6411014266033/296208$ |
$0.93329$ |
$4.44263$ |
$[1, -1, 0, -3483, -78251]$ |
\(y^2+xy=x^3-x^2-3483x-78251\) |
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, $\ldots$ |
$[ ]$ |
3366.d4 |
3366c4 |
3366.d |
3366c |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2 \cdot 3^{14} \cdot 11^{2} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$408$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12288$ |
$1.367565$ |
$57258048889007/132611470002$ |
$0.97333$ |
$4.84759$ |
$[1, -1, 0, 7227, -411521]$ |
\(y^2+xy=x^3-x^2+7227x-411521\) |
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, $\ldots$ |
$[ ]$ |
3366.e1 |
3366j3 |
3366.e |
3366j |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{7} \cdot 3^{14} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$408$ |
$48$ |
$0$ |
$3.070579826$ |
$1$ |
|
$2$ |
$86016$ |
$2.391575$ |
$306234591284035366263793/1727485056$ |
$1.03821$ |
$7.47035$ |
$[1, -1, 0, -12638223, 17296430445]$ |
\(y^2+xy=x^3-x^2-12638223x+17296430445\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.7, 136.24.0.?, $\ldots$ |
$[(2065, -70)]$ |
3366.e2 |
3366j2 |
3366.e |
3366j |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{14} \cdot 3^{10} \cdot 11^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$408$ |
$48$ |
$0$ |
$1.535289913$ |
$1$ |
|
$10$ |
$43008$ |
$2.045002$ |
$74768347616680342513/5615307472896$ |
$1.01338$ |
$6.44619$ |
$[1, -1, 0, -789903, 270394605]$ |
\(y^2+xy=x^3-x^2-789903x+270394605\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.2, 68.12.0.b.1, $\ldots$ |
$[(382, 4737)]$ |
3366.e3 |
3366j4 |
3366.e |
3366j |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{7} \cdot 3^{8} \cdot 11^{8} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$408$ |
$48$ |
$0$ |
$0.767644956$ |
$1$ |
|
$6$ |
$86016$ |
$2.391575$ |
$-60992553706117024753/20624795251201152$ |
$1.01769$ |
$6.47777$ |
$[1, -1, 0, -738063, 307377261]$ |
\(y^2+xy=x^3-x^2-738063x+307377261\) |
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, $\ldots$ |
$[(-21, 17979)]$ |
3366.e4 |
3366j1 |
3366.e |
3366j |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{28} \cdot 3^{8} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$408$ |
$48$ |
$0$ |
$3.070579826$ |
$1$ |
|
$3$ |
$21504$ |
$1.698427$ |
$22106889268753393/4969545596928$ |
$0.98677$ |
$5.44560$ |
$[1, -1, 0, -52623, 3646701]$ |
\(y^2+xy=x^3-x^2-52623x+3646701\) |
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, $\ldots$ |
$[(183, 255)]$ |
3366.f1 |
3366e3 |
3366.f |
3366e |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{10} \cdot 3^{7} \cdot 11 \cdot 17^{6} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.8.0.1 |
2B, 3B.1.1 |
$264$ |
$96$ |
$1$ |
$17.29304116$ |
$1$ |
|
$5$ |
$276480$ |
$2.990250$ |
$505384091400037554067434625/815656731648$ |
$1.17649$ |
$8.38259$ |
$[1, -1, 0, -149351112, 702560755008]$ |
\(y^2+xy=x^3-x^2-149351112x+702560755008\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.d.1, 24.48.0-24.bx.1.15, $\ldots$ |
$[(-1083637136/337, 43123967468216/337)]$ |
3366.f2 |
3366e4 |
3366.f |
3366e |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{5} \cdot 3^{8} \cdot 11^{2} \cdot 17^{12} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.8.0.1 |
2B, 3B.1.1 |
$264$ |
$96$ |
$1$ |
$8.646520580$ |
$1$ |
|
$4$ |
$552960$ |
$3.336826$ |
$-505369473241574671219626625/20303219722982711328$ |
$1.10395$ |
$8.38259$ |
$[1, -1, 0, -149349672, 702574979040]$ |
\(y^2+xy=x^3-x^2-149349672x+702574979040\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.a.1, 24.48.0-24.p.1.15, $\ldots$ |
$[(657633/8, 254800995/8)]$ |
3366.f3 |
3366e1 |
3366.f |
3366e |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{30} \cdot 3^{9} \cdot 11^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.8.0.2 |
2B, 3B.1.2 |
$264$ |
$96$ |
$1$ |
$5.764347053$ |
$1$ |
|
$3$ |
$92160$ |
$2.440945$ |
$959024269496848362625/11151660319506432$ |
$1.02199$ |
$6.76036$ |
$[1, -1, 0, -1849032, 958443840]$ |
\(y^2+xy=x^3-x^2-1849032x+958443840\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.d.1, 24.48.0-24.bx.1.11, $\ldots$ |
$[(3969, 234936)]$ |
3366.f4 |
3366e2 |
3366.f |
3366e |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{15} \cdot 3^{12} \cdot 11^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.8.0.2 |
2B, 3B.1.2 |
$264$ |
$96$ |
$1$ |
$2.882173526$ |
$1$ |
|
$4$ |
$184320$ |
$2.787518$ |
$-7966267523043306625/3534510366354604032$ |
$1.07621$ |
$6.98848$ |
$[1, -1, 0, -374472, 2443915584]$ |
\(y^2+xy=x^3-x^2-374472x+2443915584\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.a.1, 24.48.0-24.p.1.13, $\ldots$ |
$[(-1095, 39792)]$ |
3366.g1 |
3366d1 |
3366.g |
3366d |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{2} \cdot 3^{7} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$1.880749959$ |
$1$ |
|
$3$ |
$2048$ |
$0.505731$ |
$858729462625/38148$ |
$0.91835$ |
$4.19510$ |
$[1, -1, 0, -1782, -28512]$ |
\(y^2+xy=x^3-x^2-1782x-28512\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[(57, 201)]$ |
3366.g2 |
3366d2 |
3366.g |
3366d |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2 \cdot 3^{8} \cdot 11^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$0.940374979$ |
$1$ |
|
$6$ |
$4096$ |
$0.852304$ |
$-735091890625/181908738$ |
$1.08903$ |
$4.21979$ |
$[1, -1, 0, -1692, -31590]$ |
\(y^2+xy=x^3-x^2-1692x-31590\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[(87, 645)]$ |
3366.h1 |
3366a2 |
3366.h |
3366a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2 \cdot 3^{9} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1.701497139$ |
$1$ |
|
$4$ |
$3840$ |
$0.703739$ |
$661914925875/4114$ |
$1.06021$ |
$4.56886$ |
$[1, -1, 0, -4902, 133334]$ |
\(y^2+xy=x^3-x^2-4902x+133334\) |
2.3.0.a.1, 132.6.0.?, 408.6.0.?, 1496.6.0.?, 4488.12.0.? |
$[(41, -17)]$ |
3366.h2 |
3366a1 |
3366.h |
3366a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{2} \cdot 3^{9} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$0.850748569$ |
$1$ |
|
$7$ |
$1920$ |
$0.357165$ |
$170953875/12716$ |
$1.00324$ |
$3.55162$ |
$[1, -1, 0, -312, 2060]$ |
\(y^2+xy=x^3-x^2-312x+2060\) |
2.3.0.a.1, 66.6.0.a.1, 408.6.0.?, 1496.6.0.?, 4488.12.0.? |
$[(7, 10)]$ |
3366.i1 |
3366k1 |
3366.i |
3366k |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{14} \cdot 3^{11} \cdot 11 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8960$ |
$1.073868$ |
$81706955619457/744505344$ |
$0.95028$ |
$4.75601$ |
$[1, -1, 0, -8136, -278208]$ |
\(y^2+xy=x^3-x^2-8136x-278208\) |
2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.? |
$[ ]$ |
3366.i2 |
3366k2 |
3366.i |
3366k |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{7} \cdot 3^{16} \cdot 11^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17920$ |
$1.420441$ |
$-2035346265217/264305213568$ |
$1.01228$ |
$4.96846$ |
$[1, -1, 0, -2376, -668736]$ |
\(y^2+xy=x^3-x^2-2376x-668736\) |
2.3.0.a.1, 8.6.0.a.1, 2244.6.0.?, 4488.12.0.? |
$[ ]$ |
3366.j1 |
3366f1 |
3366.j |
3366f |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{7} \cdot 11 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$4488$ |
$12$ |
$0$ |
$1.499200540$ |
$1$ |
|
$5$ |
$768$ |
$0.119066$ |
$81182737/35904$ |
$1.09390$ |
$3.05411$ |
$[1, -1, 0, -81, 157]$ |
\(y^2+xy=x^3-x^2-81x+157\) |
2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.? |
$[(-6, 23)]$ |
3366.j2 |
3366f2 |
3366.j |
3366f |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{3} \cdot 3^{8} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$4488$ |
$12$ |
$0$ |
$0.749600270$ |
$1$ |
|
$6$ |
$1536$ |
$0.465640$ |
$3288008303/2517768$ |
$0.89782$ |
$3.50986$ |
$[1, -1, 0, 279, 949]$ |
\(y^2+xy=x^3-x^2+279x+949\) |
2.3.0.a.1, 8.6.0.a.1, 2244.6.0.?, 4488.12.0.? |
$[(5, 47)]$ |
3366.k1 |
3366h5 |
3366.k |
3366h |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{2} \cdot 3^{8} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$8976$ |
$192$ |
$1$ |
$2.130261838$ |
$1$ |
|
$2$ |
$32768$ |
$1.987236$ |
$6812873765474836663297/74052$ |
$1.02772$ |
$7.00177$ |
$[1, -1, 0, -3554496, 2580267820]$ |
\(y^2+xy=x^3-x^2-3554496x+2580267820\) |
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.f.2, $\ldots$ |
$[(1095, -190)]$ |
3366.k2 |
3366h3 |
3366.k |
3366h |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{4} \cdot 3^{10} \cdot 11^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$4488$ |
$192$ |
$1$ |
$1.065130919$ |
$1$ |
|
$10$ |
$16384$ |
$1.640663$ |
$1663303207415737537/5483698704$ |
$0.99928$ |
$5.97761$ |
$[1, -1, 0, -222156, 40358272]$ |
\(y^2+xy=x^3-x^2-222156x+40358272\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 12.24.0-4.b.1.1, 24.48.0-8.d.2.1, $\ldots$ |
$[(281, 107)]$ |
3366.k3 |
3366h6 |
3366.k |
3366h |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{2} \cdot 3^{14} \cdot 11^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.91 |
2B |
$8976$ |
$192$ |
$1$ |
$0.532565459$ |
$1$ |
|
$6$ |
$32768$ |
$1.987236$ |
$-1595514095015181697/95635786040388$ |
$1.10244$ |
$5.98462$ |
$[1, -1, 0, -219096, 41521684]$ |
\(y^2+xy=x^3-x^2-219096x+41521684\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.1, 24.48.0-8.ba.2.5, $\ldots$ |
$[(125, 3947)]$ |
3366.k4 |
3366h2 |
3366.k |
3366h |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{8} \cdot 3^{8} \cdot 11^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.15 |
2Cs |
$4488$ |
$192$ |
$1$ |
$2.130261838$ |
$1$ |
|
$8$ |
$8192$ |
$1.294088$ |
$423108074414017/23284318464$ |
$0.96119$ |
$4.95850$ |
$[1, -1, 0, -14076, 614992]$ |
\(y^2+xy=x^3-x^2-14076x+614992\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 12.24.0-4.b.1.3, 24.48.0-8.d.1.9, $\ldots$ |
$[(89, 203)]$ |
3366.k5 |
3366h1 |
3366.k |
3366h |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{16} \cdot 3^{7} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$8976$ |
$192$ |
$1$ |
$1.065130919$ |
$1$ |
|
$7$ |
$4096$ |
$0.947515$ |
$2533811507137/625016832$ |
$0.93502$ |
$4.32833$ |
$[1, -1, 0, -2556, -37040]$ |
\(y^2+xy=x^3-x^2-2556x-37040\) |
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.f.1, $\ldots$ |
$[(-37, 95)]$ |
3366.k6 |
3366h4 |
3366.k |
3366h |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{4} \cdot 3^{7} \cdot 11 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.92 |
2B |
$8976$ |
$192$ |
$1$ |
$4.260523677$ |
$1$ |
|
$2$ |
$16384$ |
$1.640663$ |
$137763859017023/3683199928848$ |
$1.00917$ |
$5.28959$ |
$[1, -1, 0, 9684, 2463520]$ |
\(y^2+xy=x^3-x^2+9684x+2463520\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.1, 12.12.0-4.c.1.2, 24.48.0-8.ba.1.1, $\ldots$ |
$[(-55, 1355)]$ |
3366.l1 |
3366q2 |
3366.l |
3366q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{5} \cdot 3^{8} \cdot 11^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$0.193509487$ |
$1$ |
|
$14$ |
$7680$ |
$1.326252$ |
$2940001530995593/8673562656$ |
$0.97046$ |
$5.19719$ |
$[1, -1, 1, -26861, 1696821]$ |
\(y^2+xy+y=x^3-x^2-26861x+1696821\) |
2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.? |
$[(107, 144)]$ |
3366.l2 |
3366q1 |
3366.l |
3366q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{10} \cdot 3^{7} \cdot 11^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$0.096754743$ |
$1$ |
|
$19$ |
$3840$ |
$0.979678$ |
$2046931732873/1181672448$ |
$1.02565$ |
$4.30205$ |
$[1, -1, 1, -2381, 2805]$ |
\(y^2+xy+y=x^3-x^2-2381x+2805\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[(-37, 216)]$ |
3366.m1 |
3366o3 |
3366.m |
3366o |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{2} \cdot 3^{26} \cdot 11^{3} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$122880$ |
$2.439571$ |
$12534210458299016895673/315581882565708$ |
$1.02949$ |
$7.07684$ |
$[1, -1, 1, -4355456, -3497469033]$ |
\(y^2+xy+y=x^3-x^2-4355456x-3497469033\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 132.12.0.?, 204.12.0.?, $\ldots$ |
$[ ]$ |
3366.m2 |
3366o2 |
3366.m |
3366o |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{4} \cdot 3^{16} \cdot 11^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2244$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$61440$ |
$2.092999$ |
$3423676911662954233/483711578981136$ |
$1.07008$ |
$6.06650$ |
$[1, -1, 1, -282596, -50200329]$ |
\(y^2+xy+y=x^3-x^2-282596x-50200329\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 132.24.0.?, 204.24.0.?, 748.24.0.?, $\ldots$ |
$[ ]$ |
3366.m3 |
3366o1 |
3366.m |
3366o |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{8} \cdot 3^{11} \cdot 11^{3} \cdot 17^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$30720$ |
$1.746426$ |
$62768149033310713/6915442583808$ |
$0.98797$ |
$5.57409$ |
$[1, -1, 1, -74516, 7063287]$ |
\(y^2+xy+y=x^3-x^2-74516x+7063287\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 66.6.0.a.1, 132.24.0.?, 408.24.0.?, $\ldots$ |
$[ ]$ |
3366.m4 |
3366o4 |
3366.m |
3366o |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{2} \cdot 3^{11} \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$122880$ |
$2.439571$ |
$14861225463775641287/51859390496937804$ |
$1.09247$ |
$6.44616$ |
$[1, -1, 1, 460984, -270300009]$ |
\(y^2+xy+y=x^3-x^2+460984x-270300009\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 102.6.0.?, 204.24.0.?, 264.24.0.?, $\ldots$ |
$[ ]$ |
3366.n1 |
3366p1 |
3366.n |
3366p |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{10} \cdot 3^{6} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$0.371921701$ |
$1$ |
|
$11$ |
$1280$ |
$0.452444$ |
$3687953625/2106368$ |
$0.99556$ |
$3.52399$ |
$[1, -1, 1, -290, 289]$ |
\(y^2+xy+y=x^3-x^2-290x+289\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[(-7, 47)]$ |
3366.n2 |
3366p2 |
3366.n |
3366p |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{5} \cdot 3^{6} \cdot 11^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$136$ |
$12$ |
$0$ |
$0.185960850$ |
$1$ |
|
$14$ |
$2560$ |
$0.799017$ |
$230910510375/135399968$ |
$1.08077$ |
$4.03337$ |
$[1, -1, 1, 1150, 1441]$ |
\(y^2+xy+y=x^3-x^2+1150x+1441\) |
2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? |
$[(7, 95)]$ |
3366.o1 |
3366l2 |
3366.o |
3366l |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2 \cdot 3^{3} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1280$ |
$0.154433$ |
$661914925875/4114$ |
$1.06021$ |
$3.75723$ |
$[1, -1, 1, -545, -4757]$ |
\(y^2+xy+y=x^3-x^2-545x-4757\) |
2.3.0.a.1, 132.6.0.?, 408.6.0.?, 1496.6.0.?, 4488.12.0.? |
$[ ]$ |
3366.o2 |
3366l1 |
3366.o |
3366l |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{2} \cdot 3^{3} \cdot 11 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$640$ |
$-0.192141$ |
$170953875/12716$ |
$1.00324$ |
$2.73999$ |
$[1, -1, 1, -35, -65]$ |
\(y^2+xy+y=x^3-x^2-35x-65\) |
2.3.0.a.1, 66.6.0.a.1, 408.6.0.?, 1496.6.0.?, 4488.12.0.? |
$[ ]$ |
3366.p1 |
3366n2 |
3366.p |
3366n |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{3} \cdot 3^{20} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10752$ |
$1.339073$ |
$204055591784617/78708537864$ |
$1.01941$ |
$4.86870$ |
$[1, -1, 1, -11039, 260543]$ |
\(y^2+xy+y=x^3-x^2-11039x+260543\) |
2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.? |
$[ ]$ |
3366.p2 |
3366n1 |
3366.p |
3366n |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{13} \cdot 11 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5376$ |
$0.992499$ |
$18052771191337/444958272$ |
$0.94100$ |
$4.57010$ |
$[1, -1, 1, -4919, -128689]$ |
\(y^2+xy+y=x^3-x^2-4919x-128689\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[ ]$ |
3366.q1 |
3366m3 |
3366.q |
3366m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{3} \cdot 3^{13} \cdot 11^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$86016$ |
$2.430641$ |
$441453577446719855661097/4354701912$ |
$1.03915$ |
$7.51538$ |
$[1, -1, 1, -14276759, -20759547369]$ |
\(y^2+xy+y=x^3-x^2-14276759x-20759547369\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 264.24.0.?, 408.24.0.?, 1496.24.0.?, $\ldots$ |
$[ ]$ |
3366.q2 |
3366m2 |
3366.q |
3366m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{20} \cdot 11^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$4488$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$43008$ |
$2.084068$ |
$107784459654566688937/10704361149504$ |
$1.01463$ |
$6.49122$ |
$[1, -1, 1, -892319, -324184377]$ |
\(y^2+xy+y=x^3-x^2-892319x-324184377\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 132.24.0.?, 408.24.0.?, 1496.24.0.?, $\ldots$ |
$[ ]$ |
3366.q3 |
3366m4 |
3366.q |
3366m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{3} \cdot 3^{34} \cdot 11 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$86016$ |
$2.430641$ |
$-85183593440646799657/34223681512621656$ |
$1.01953$ |
$6.52717$ |
$[1, -1, 1, -824999, -375212937]$ |
\(y^2+xy+y=x^3-x^2-824999x-375212937\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 132.12.0.?, 264.24.0.?, $\ldots$ |
$[ ]$ |
3366.q4 |
3366m1 |
3366.q |
3366m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{12} \cdot 3^{13} \cdot 11 \cdot 17^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$21504$ |
$1.737494$ |
$32765849647039657/8229948198912$ |
$0.98958$ |
$5.49405$ |
$[1, -1, 1, -59999, -4240569]$ |
\(y^2+xy+y=x^3-x^2-59999x-4240569\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 66.6.0.a.1, 132.24.0.?, 408.24.0.?, $\ldots$ |
$[ ]$ |