| 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 |
| 55506.a1 |
55506d3 |
55506.a |
55506d |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{2} \cdot 3 \cdot 11^{5} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.12.0.2 |
2B, 5B.4.2 |
$38280$ |
$288$ |
$5$ |
$11.91423596$ |
$1$ |
|
$1$ |
$2240000$ |
$2.431499$ |
$112763292123580561/1932612$ |
$1.06379$ |
$5.44366$ |
$[1, 1, 0, -8464682, -9482561760]$ |
\(y^2+xy=x^3+x^2-8464682x-9482561760\) |
2.3.0.a.1, 5.12.0.a.2, 8.6.0.d.1, 10.36.0.a.1, 40.72.1.t.1, $\ldots$ |
$[(5385370/21, 12048197890/21)]$ |
| 55506.a2 |
55506d4 |
55506.a |
55506d |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2 \cdot 3^{2} \cdot 11^{10} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.12.0.2 |
2B, 5B.4.2 |
$38280$ |
$288$ |
$5$ |
$23.82847193$ |
$1$ |
|
$0$ |
$4480000$ |
$2.778076$ |
$-112427521449300721/466873642818$ |
$1.06387$ |
$5.44404$ |
$[1, 1, 0, -8456272, -9502333670]$ |
\(y^2+xy=x^3+x^2-8456272x-9502333670\) |
2.3.0.a.1, 5.12.0.a.2, 8.6.0.a.1, 10.36.0.a.1, 40.72.1.c.2, $\ldots$ |
$[(568824066301/6825, 413595684197091976/6825)]$ |
| 55506.a3 |
55506d1 |
55506.a |
55506d |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{10} \cdot 3^{5} \cdot 11 \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.12.0.1 |
2B, 5B.4.1 |
$38280$ |
$288$ |
$5$ |
$2.382847193$ |
$1$ |
|
$3$ |
$448000$ |
$1.626781$ |
$10091699281/2737152$ |
$1.07340$ |
$3.95805$ |
$[1, 1, 0, -37862, 2051220]$ |
\(y^2+xy=x^3+x^2-37862x+2051220\) |
2.3.0.a.1, 5.12.0.a.1, 8.6.0.d.1, 10.36.0.a.2, 40.72.1.t.2, $\ldots$ |
$[(-201, 1362)]$ |
| 55506.a4 |
55506d2 |
55506.a |
55506d |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{5} \cdot 3^{10} \cdot 11^{2} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.12.0.1 |
2B, 5B.4.1 |
$38280$ |
$288$ |
$5$ |
$4.765694387$ |
$1$ |
|
$2$ |
$896000$ |
$1.973356$ |
$168105213359/228637728$ |
$1.10021$ |
$4.24303$ |
$[1, 1, 0, 96698, 13488820]$ |
\(y^2+xy=x^3+x^2+96698x+13488820\) |
2.3.0.a.1, 5.12.0.a.1, 8.6.0.a.1, 10.36.0.a.2, 40.72.1.c.1, $\ldots$ |
$[(5893, 450127)]$ |
| 55506.b1 |
55506i1 |
55506.b |
55506i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{33} \cdot 3^{7} \cdot 11 \cdot 29^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7656$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$30011520$ |
$3.955738$ |
$71054140594037203/206648056479744$ |
$1.03886$ |
$6.45358$ |
$[1, 1, 0, 210450141, 2357773069581]$ |
\(y^2+xy=x^3+x^2+210450141x+2357773069581\) |
7656.2.0.? |
$[]$ |
| 55506.c1 |
55506l2 |
55506.c |
55506l |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{7} \cdot 3 \cdot 11^{6} \cdot 29^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7620480$ |
$3.085037$ |
$-4967448100211756593/16591334871936$ |
$0.99127$ |
$5.79069$ |
$[1, 1, 0, -29895044, -63107695536]$ |
\(y^2+xy=x^3+x^2-29895044x-63107695536\) |
3.4.0.a.1, 24.8.0-3.a.1.6, 87.8.0.?, 696.16.0.? |
$[]$ |
| 55506.c2 |
55506l1 |
55506.c |
55506l |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{21} \cdot 3^{3} \cdot 11^{2} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2540160$ |
$2.535732$ |
$89813071796687/198690471936$ |
$0.96040$ |
$4.88549$ |
$[1, 1, 0, 784636, -449131824]$ |
\(y^2+xy=x^3+x^2+784636x-449131824\) |
3.4.0.a.1, 24.8.0-3.a.1.5, 87.8.0.?, 696.16.0.? |
$[]$ |
| 55506.d1 |
55506h2 |
55506.d |
55506h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{11} \cdot 3^{8} \cdot 11^{2} \cdot 29^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2552$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13719552$ |
$3.445244$ |
$143381687390091773/1625868288$ |
$1.01832$ |
$6.39037$ |
$[1, 1, 0, -265940196, 1669133240784]$ |
\(y^2+xy=x^3+x^2-265940196x+1669133240784\) |
2.3.0.a.1, 88.6.0.?, 232.6.0.?, 1276.6.0.?, 2552.12.0.? |
$[]$ |
| 55506.d2 |
55506h1 |
55506.d |
55506h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{22} \cdot 3^{4} \cdot 11 \cdot 29^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2552$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6859776$ |
$3.098671$ |
$-32391594523133/3737124864$ |
$1.03342$ |
$5.63850$ |
$[1, 1, 0, -16196836, 27470238160]$ |
\(y^2+xy=x^3+x^2-16196836x+27470238160\) |
2.3.0.a.1, 88.6.0.?, 232.6.0.?, 638.6.0.?, 2552.12.0.? |
$[]$ |
| 55506.e1 |
55506k4 |
55506.e |
55506k |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2 \cdot 3^{6} \cdot 11^{6} \cdot 29^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$7656$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$13063680$ |
$3.426422$ |
$1963975500122834382625/62995224591882$ |
$1.01269$ |
$6.33756$ |
$[1, 1, 0, -219415235, -1251030755973]$ |
\(y^2+xy=x^3+x^2-219415235x-1251030755973\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.13, 87.8.0.?, $\ldots$ |
$[]$ |
| 55506.e2 |
55506k3 |
55506.e |
55506k |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 11^{3} \cdot 29^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$7656$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$6531840$ |
$3.079849$ |
$544107922591866625/85504662747108$ |
$0.98571$ |
$5.58773$ |
$[1, 1, 0, -14303745, -17777411199]$ |
\(y^2+xy=x^3+x^2-14303745x-17777411199\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.2, 66.24.0.b.1, $\ldots$ |
$[]$ |
| 55506.e3 |
55506k2 |
55506.e |
55506k |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{3} \cdot 3^{18} \cdot 11^{2} \cdot 29^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$7656$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$4354560$ |
$2.877117$ |
$21002873311842625/10875667967208$ |
$0.99557$ |
$5.28981$ |
$[1, 1, 0, -4834085, 1324918149]$ |
\(y^2+xy=x^3+x^2-4834085x+1324918149\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.5, 87.8.0.?, $\ldots$ |
$[]$ |
| 55506.e4 |
55506k1 |
55506.e |
55506k |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 11 \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$7656$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2177280$ |
$2.530544$ |
$10680703423890625/11653595712$ |
$1.00558$ |
$5.22791$ |
$[1, 1, 0, -3858525, 2912934717]$ |
\(y^2+xy=x^3+x^2-3858525x+2912934717\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.10, 66.24.0.b.1, $\ldots$ |
$[]$ |
| 55506.f1 |
55506f1 |
55506.f |
55506f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2 \cdot 3^{3} \cdot 11 \cdot 29^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7656$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$545664$ |
$1.745672$ |
$753571/594$ |
$0.83170$ |
$4.01293$ |
$[1, 1, 0, 46238, 2322022]$ |
\(y^2+xy=x^3+x^2+46238x+2322022\) |
7656.2.0.? |
$[]$ |
| 55506.g1 |
55506e1 |
55506.g |
55506e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{23} \cdot 3^{5} \cdot 11^{8} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$696$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4327680$ |
$2.997768$ |
$-11872994862835724607989/436955947638718464$ |
$1.05447$ |
$5.58319$ |
$[1, 1, 0, -13782992, -20317686528]$ |
\(y^2+xy=x^3+x^2-13782992x-20317686528\) |
696.2.0.? |
$[]$ |
| 55506.h1 |
55506a1 |
55506.h |
55506a |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{15} \cdot 3^{5} \cdot 11 \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$38280$ |
$48$ |
$1$ |
$4.441451386$ |
$1$ |
|
$2$ |
$1008000$ |
$2.224823$ |
$-22143063655441/2540077056$ |
$0.92948$ |
$4.67887$ |
$[1, 1, 0, -492002, 145196148]$ |
\(y^2+xy=x^3+x^2-492002x+145196148\) |
5.12.0.a.1, 145.24.0.?, 1320.24.0.?, 7656.2.0.?, 38280.48.1.? |
$[(5599, 413075)]$ |
| 55506.h2 |
55506a2 |
55506.h |
55506a |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{3} \cdot 3 \cdot 11^{5} \cdot 29^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$38280$ |
$48$ |
$1$ |
$22.20725693$ |
$1$ |
|
$0$ |
$5040000$ |
$3.029541$ |
$1833318007919/79280185382376$ |
$1.07521$ |
$5.46147$ |
$[1, 1, 0, 214438, -10447871652]$ |
\(y^2+xy=x^3+x^2+214438x-10447871652\) |
5.12.0.a.2, 145.24.0.?, 1320.24.0.?, 7656.2.0.?, 38280.48.1.? |
$[(6818556874711/34825, 17219016235214161691/34825)]$ |
| 55506.i1 |
55506b1 |
55506.i |
55506b |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{5} \cdot 3^{15} \cdot 11^{2} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$3480$ |
$48$ |
$1$ |
$8.932447153$ |
$1$ |
|
$0$ |
$9072000$ |
$3.297710$ |
$-1135540872025530818401/1611210069216$ |
$1.01091$ |
$6.28741$ |
$[1, 1, 0, -182791367, 951146456277]$ |
\(y^2+xy=x^3+x^2-182791367x+951146456277\) |
5.12.0.a.1, 120.24.0.?, 145.24.0.?, 696.2.0.?, 3480.48.1.? |
$[(942859/7, 729050783/7)]$ |
| 55506.i2 |
55506b2 |
55506.i |
55506b |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2 \cdot 3^{3} \cdot 11^{10} \cdot 29^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$3480$ |
$48$ |
$1$ |
$44.66223576$ |
$1$ |
|
$0$ |
$45360000$ |
$4.102432$ |
$17466551704682106586559/28728344556038333646$ |
$1.03399$ |
$6.59352$ |
$[1, 1, 0, 454594123, 5063638701747]$ |
\(y^2+xy=x^3+x^2+454594123x+5063638701747\) |
5.12.0.a.2, 120.24.0.?, 145.24.0.?, 696.2.0.?, 3480.48.1.? |
$[(93470905646836224675841/2958844525, 86298392913923945669103042856379411/2958844525)]$ |
| 55506.j1 |
55506g2 |
55506.j |
55506g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2 \cdot 3^{4} \cdot 11^{2} \cdot 29^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2552$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$35840$ |
$0.372704$ |
$70444997/19602$ |
$0.87702$ |
$2.57887$ |
$[1, 1, 0, -249, -1197]$ |
\(y^2+xy=x^3+x^2-249x-1197\) |
2.3.0.a.1, 88.6.0.?, 232.6.0.?, 1276.6.0.?, 2552.12.0.? |
$[]$ |
| 55506.j2 |
55506g1 |
55506.j |
55506g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{2} \cdot 3^{2} \cdot 11 \cdot 29^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2552$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$17920$ |
$0.026130$ |
$300763/396$ |
$0.81399$ |
$2.10166$ |
$[1, 1, 0, 41, -95]$ |
\(y^2+xy=x^3+x^2+41x-95\) |
2.3.0.a.1, 88.6.0.?, 232.6.0.?, 638.6.0.?, 2552.12.0.? |
$[]$ |
| 55506.k1 |
55506c2 |
55506.k |
55506c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2 \cdot 3^{6} \cdot 11 \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7656$ |
$12$ |
$0$ |
$9.858944433$ |
$1$ |
|
$0$ |
$725760$ |
$1.782997$ |
$114013572049/13487958$ |
$0.94122$ |
$4.18000$ |
$[1, 1, 0, -84958, -8536970]$ |
\(y^2+xy=x^3+x^2-84958x-8536970\) |
2.3.0.a.1, 88.6.0.?, 348.6.0.?, 7656.12.0.? |
$[(2950069/15, 5043823423/15)]$ |
| 55506.k2 |
55506c1 |
55506.k |
55506c |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{2} \cdot 3^{3} \cdot 11^{2} \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7656$ |
$12$ |
$0$ |
$4.929472216$ |
$1$ |
|
$3$ |
$362880$ |
$1.436422$ |
$80062991/378972$ |
$0.91862$ |
$3.69575$ |
$[1, 1, 0, 7552, -673620]$ |
\(y^2+xy=x^3+x^2+7552x-673620\) |
2.3.0.a.1, 88.6.0.?, 174.6.0.?, 7656.12.0.? |
$[(13110, 1494630)]$ |
| 55506.l1 |
55506j1 |
55506.l |
55506j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{27} \cdot 3^{4} \cdot 11^{2} \cdot 29^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1503360$ |
$2.205780$ |
$25662819414780409/1315467952128$ |
$1.02807$ |
$4.69167$ |
$[1, 1, 0, -547508, 148637520]$ |
\(y^2+xy=x^3+x^2-547508x+148637520\) |
8.2.0.b.1 |
$[]$ |
| 55506.m1 |
55506t2 |
55506.m |
55506t |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{5} \cdot 3^{26} \cdot 11^{2} \cdot 29^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7656$ |
$12$ |
$0$ |
$1.785883069$ |
$1$ |
|
$4$ |
$157248000$ |
$4.379936$ |
$10265319586058552545673521/240039086340513078432$ |
$1.03714$ |
$7.12128$ |
$[1, 0, 1, -3807841973, 88594862772512]$ |
\(y^2+xy+y=x^3-3807841973x+88594862772512\) |
2.3.0.a.1, 132.6.0.?, 232.6.0.?, 7656.12.0.? |
$[(4536, 8448520)]$ |
| 55506.m2 |
55506t1 |
55506.m |
55506t |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{10} \cdot 3^{13} \cdot 11 \cdot 29^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7656$ |
$12$ |
$0$ |
$3.571766138$ |
$1$ |
|
$3$ |
$78624000$ |
$4.033363$ |
$27066801716613381357361/10682107410097677312$ |
$1.03247$ |
$6.57770$ |
$[1, 0, 1, -526058133, -2619037276448]$ |
\(y^2+xy+y=x^3-526058133x-2619037276448\) |
2.3.0.a.1, 66.6.0.a.1, 232.6.0.?, 7656.12.0.? |
$[(25619, 834918)]$ |
| 55506.n1 |
55506r1 |
55506.n |
55506r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{3} \cdot 3^{2} \cdot 11^{4} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$0.358885939$ |
$1$ |
|
$4$ |
$28800$ |
$0.431634$ |
$5011452097/1054152$ |
$0.89984$ |
$2.66101$ |
$[1, 0, 1, -337, -1924]$ |
\(y^2+xy+y=x^3-337x-1924\) |
8.2.0.b.1 |
$[(-8, 20)]$ |
| 55506.o1 |
55506m1 |
55506.o |
55506m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 11^{3} \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3828$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$967680$ |
$2.283695$ |
$23180817201697/7737092352$ |
$0.93903$ |
$4.66651$ |
$[1, 0, 1, -499572, -88459406]$ |
\(y^2+xy+y=x^3-499572x-88459406\) |
2.3.0.a.1, 66.6.0.a.1, 116.6.0.?, 3828.12.0.? |
$[]$ |
| 55506.o2 |
55506m2 |
55506.o |
55506m |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 11^{6} \cdot 29^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3828$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1935360$ |
$2.630272$ |
$568630774259423/599241137616$ |
$0.96655$ |
$4.95943$ |
$[1, 0, 1, 1451548, -609798670]$ |
\(y^2+xy+y=x^3+1451548x-609798670\) |
2.3.0.a.1, 116.6.0.?, 132.6.0.?, 3828.12.0.? |
$[]$ |
| 55506.p1 |
55506v1 |
55506.p |
55506v |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{17} \cdot 3^{17} \cdot 11^{3} \cdot 29^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7656$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$90112512$ |
$4.607468$ |
$-37784839767702838277741/22529383720943616$ |
$1.05674$ |
$7.53305$ |
$[1, 0, 1, -17050035384, -857354393856122]$ |
\(y^2+xy+y=x^3-17050035384x-857354393856122\) |
7656.2.0.? |
$[]$ |
| 55506.q1 |
55506o1 |
55506.q |
55506o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{5} \cdot 3^{5} \cdot 11^{2} \cdot 29^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$696$ |
$2$ |
$0$ |
$0.955076109$ |
$1$ |
|
$4$ |
$1008000$ |
$2.359821$ |
$30228456935951/22947512544$ |
$0.95343$ |
$4.69081$ |
$[1, 0, 1, 545791, -86614252]$ |
\(y^2+xy+y=x^3+545791x-86614252\) |
696.2.0.? |
$[(11322, 1201594)]$ |
| 55506.r1 |
55506p1 |
55506.r |
55506p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2 \cdot 3 \cdot 11 \cdot 29^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7656$ |
$2$ |
$0$ |
$3.076262426$ |
$1$ |
|
$0$ |
$604800$ |
$1.814205$ |
$-2454365649169/1609674$ |
$0.91058$ |
$4.46107$ |
$[1, 0, 1, -236339, 44228528]$ |
\(y^2+xy+y=x^3-236339x+44228528\) |
7656.2.0.? |
$[(15668/7, 347409/7)]$ |
| 55506.s1 |
55506u1 |
55506.s |
55506u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2 \cdot 3^{8} \cdot 11^{2} \cdot 29^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1002240$ |
$2.209759$ |
$50741013625/1587762$ |
$0.91471$ |
$4.72237$ |
$[1, 0, 1, -612266, -179395054]$ |
\(y^2+xy+y=x^3-612266x-179395054\) |
8.2.0.b.1 |
$[]$ |
| 55506.t1 |
55506n1 |
55506.t |
55506n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{25} \cdot 3^{3} \cdot 11^{9} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7656$ |
$2$ |
$0$ |
$3.164141198$ |
$1$ |
|
$0$ |
$45360000$ |
$4.169708$ |
$84946783689490628882159/61950643243000528896$ |
$1.04219$ |
$6.68239$ |
$[1, 0, 1, 770200397, -4196703975346]$ |
\(y^2+xy+y=x^3+770200397x-4196703975346\) |
7656.2.0.? |
$[(266007/2, 147490961/2)]$ |
| 55506.u1 |
55506q4 |
55506.u |
55506q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2 \cdot 3 \cdot 11 \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$7656$ |
$48$ |
$0$ |
$11.55219313$ |
$4$ |
$2$ |
$0$ |
$387072$ |
$1.588694$ |
$4824238966273/66$ |
$1.02376$ |
$4.52282$ |
$[1, 0, 1, -296050, -62025094]$ |
\(y^2+xy+y=x^3-296050x-62025094\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 232.24.0.?, 264.24.0.?, $\ldots$ |
$[(88608/7, 24699898/7)]$ |
| 55506.u2 |
55506q2 |
55506.u |
55506q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$7656$ |
$48$ |
$0$ |
$5.776096567$ |
$1$ |
|
$4$ |
$193536$ |
$1.242121$ |
$1180932193/4356$ |
$0.96736$ |
$3.76166$ |
$[1, 0, 1, -18520, -968494]$ |
\(y^2+xy+y=x^3-18520x-968494\) |
2.6.0.a.1, 8.12.0.b.1, 116.12.0.?, 132.12.0.?, 232.24.0.?, $\ldots$ |
$[(1774, 73610)]$ |
| 55506.u3 |
55506q3 |
55506.u |
55506q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2 \cdot 3^{4} \cdot 11^{4} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$7656$ |
$48$ |
$0$ |
$2.888048283$ |
$1$ |
|
$4$ |
$387072$ |
$1.588694$ |
$-192100033/2371842$ |
$1.02507$ |
$3.87976$ |
$[1, 0, 1, -10110, -1849862]$ |
\(y^2+xy+y=x^3-10110x-1849862\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 116.12.0.?, 232.24.0.?, $\ldots$ |
$[(158, 630)]$ |
| 55506.u4 |
55506q1 |
55506.u |
55506q |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{4} \cdot 3 \cdot 11 \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$7656$ |
$48$ |
$0$ |
$2.888048283$ |
$1$ |
|
$1$ |
$96768$ |
$0.895547$ |
$912673/528$ |
$1.18336$ |
$3.10574$ |
$[1, 0, 1, -1700, 338]$ |
\(y^2+xy+y=x^3-1700x+338\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 66.6.0.a.1, 116.12.0.?, $\ldots$ |
$[(-356/3, 2623/3)]$ |
| 55506.v1 |
55506w1 |
55506.v |
55506w |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{3} \cdot 3^{7} \cdot 11^{4} \cdot 29^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$696$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3819648$ |
$2.825245$ |
$220677361507/256158936$ |
$0.97009$ |
$5.16571$ |
$[1, 0, 1, 3070473, -2076664142]$ |
\(y^2+xy+y=x^3+3070473x-2076664142\) |
696.2.0.? |
$[]$ |
| 55506.w1 |
55506s2 |
55506.w |
55506s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{9} \cdot 3^{14} \cdot 11 \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7656$ |
$12$ |
$0$ |
$8.275159760$ |
$1$ |
|
$0$ |
$8467200$ |
$3.070580$ |
$2618764779527817409/22654590064128$ |
$1.03577$ |
$5.73156$ |
$[1, 0, 1, -24150174, -45339549296]$ |
\(y^2+xy+y=x^3-24150174x-45339549296\) |
2.3.0.a.1, 88.6.0.?, 348.6.0.?, 7656.12.0.? |
$[(-510982/13, 17404932/13)]$ |
| 55506.w2 |
55506s1 |
55506.w |
55506s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{18} \cdot 3^{7} \cdot 11^{2} \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7656$ |
$12$ |
$0$ |
$4.137579880$ |
$1$ |
|
$1$ |
$4233600$ |
$2.724003$ |
$-19010647320769/2011741028352$ |
$1.00410$ |
$5.12566$ |
$[1, 0, 1, -467614, -1668908656]$ |
\(y^2+xy+y=x^3-467614x-1668908656\) |
2.3.0.a.1, 88.6.0.?, 174.6.0.?, 7656.12.0.? |
$[(71524/5, 17680183/5)]$ |
| 55506.x1 |
55506bb1 |
55506.x |
55506bb |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{3} \cdot 3^{2} \cdot 11^{4} \cdot 29^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$0.587945526$ |
$1$ |
|
$4$ |
$835200$ |
$2.115280$ |
$5011452097/1054152$ |
$0.89984$ |
$4.51046$ |
$[1, 1, 1, -283014, -46352325]$ |
\(y^2+xy+y=x^3+x^2-283014x-46352325\) |
8.2.0.b.1 |
$[(4555, 303005)]$ |
| 55506.y1 |
55506y4 |
55506.y |
55506y |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 29^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1290240$ |
$2.418152$ |
$8438952173768857/560166552$ |
$0.96209$ |
$5.20635$ |
$[1, 1, 1, -3567119, 2591496317]$ |
\(y^2+xy+y=x^3+x^2-3567119x+2591496317\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 88.24.0.?, 232.24.0.?, $\ldots$ |
$[]$ |
| 55506.y2 |
55506y3 |
55506.y |
55506y |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{3} \cdot 3^{8} \cdot 11^{4} \cdot 29^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1290240$ |
$2.418152$ |
$331273336732057/22285827432$ |
$0.94562$ |
$4.90997$ |
$[1, 1, 1, -1212319, -483495715]$ |
\(y^2+xy+y=x^3+x^2-1212319x-483495715\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 88.24.0.?, 232.24.0.?, 2552.48.0.? |
$[]$ |
| 55506.y3 |
55506y2 |
55506.y |
55506y |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 11^{2} \cdot 29^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$645120$ |
$2.071579$ |
$2467489596697/527529024$ |
$0.91735$ |
$4.46145$ |
$[1, 1, 1, -236759, 35111981]$ |
\(y^2+xy+y=x^3+x^2-236759x+35111981\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 88.24.0.?, 232.24.0.?, 1276.24.0.?, $\ldots$ |
$[]$ |
| 55506.y4 |
55506y1 |
55506.y |
55506y |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 11 \cdot 29^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$322560$ |
$1.725004$ |
$6300872423/11759616$ |
$0.88695$ |
$3.98815$ |
$[1, 1, 1, 32361, 3355821]$ |
\(y^2+xy+y=x^3+x^2+32361x+3355821\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 88.24.0.?, 232.24.0.?, 638.6.0.?, $\ldots$ |
$[]$ |
| 55506.z1 |
55506ba1 |
55506.z |
55506ba |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{17} \cdot 3^{17} \cdot 11^{3} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7656$ |
$2$ |
$0$ |
$4.710860175$ |
$1$ |
|
$2$ |
$3107328$ |
$2.923820$ |
$-37784839767702838277741/22529383720943616$ |
$1.05674$ |
$5.68361$ |
$[1, 1, 1, -20273526, -35161712013]$ |
\(y^2+xy+y=x^3+x^2-20273526x-35161712013\) |
7656.2.0.? |
$[(8673, 660111)]$ |
| 55506.ba1 |
55506bd3 |
55506.ba |
55506bd |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{6} \cdot 3 \cdot 11^{3} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$7656$ |
$96$ |
$1$ |
$1.740998825$ |
$1$ |
|
$3$ |
$290304$ |
$1.573570$ |
$57736239625/255552$ |
$0.99775$ |
$4.11771$ |
$[1, 1, 1, -67718, -6784957]$ |
\(y^2+xy+y=x^3+x^2-67718x-6784957\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 24.24.0.bx.1, $\ldots$ |
$[(1307, 45601)]$ |
| 55506.ba2 |
55506bd4 |
55506.ba |
55506bd |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( - 2^{3} \cdot 3^{2} \cdot 11^{6} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$7656$ |
$96$ |
$1$ |
$3.481997651$ |
$1$ |
|
$2$ |
$580608$ |
$1.920145$ |
$-7357983625/127552392$ |
$1.05287$ |
$4.24335$ |
$[1, 1, 1, -34078, -13486045]$ |
\(y^2+xy+y=x^3+x^2-34078x-13486045\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 24.24.0.p.1, $\ldots$ |
$[(491, 9159)]$ |
| 55506.ba3 |
55506bd1 |
55506.ba |
55506bd |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 29^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 11 \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$7656$ |
$96$ |
$1$ |
$5.222996477$ |
$1$ |
|
$1$ |
$96768$ |
$1.024265$ |
$18609625/1188$ |
$0.92581$ |
$3.38174$ |
$[1, 1, 1, -4643, 112925]$ |
\(y^2+xy+y=x^3+x^2-4643x+112925\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 24.24.0.bx.1, $\ldots$ |
$[(7319/7, 546092/7)]$ |
