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 |
9702.a1 |
9702t3 |
9702.a |
9702t |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{2} \cdot 3^{7} \cdot 7^{6} \cdot 11^{5} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.12.0.2 |
2B, 5B.4.2 |
$9240$ |
$288$ |
$5$ |
$4.890165786$ |
$1$ |
|
$3$ |
$288000$ |
$2.270115$ |
$112763292123580561/1932612$ |
$1.06379$ |
$6.26696$ |
$[1, -1, 0, -4438674, -3598272896]$ |
\(y^2+xy=x^3-x^2-4438674x-3598272896\) |
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, $\ldots$ |
$[(2459, 17513)]$ |
9702.a2 |
9702t4 |
9702.a |
9702t |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2 \cdot 3^{8} \cdot 7^{6} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.12.0.2 |
2B, 5B.4.2 |
$9240$ |
$288$ |
$5$ |
$9.780331572$ |
$1$ |
|
$0$ |
$576000$ |
$2.616688$ |
$-112427521449300721/466873642818$ |
$1.06387$ |
$6.26741$ |
$[1, -1, 0, -4434264, -3605783126]$ |
\(y^2+xy=x^3-x^2-4434264x-3605783126\) |
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, $\ldots$ |
$[(61469/5, 2189293/5)]$ |
9702.a3 |
9702t1 |
9702.a |
9702t |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 3^{11} \cdot 7^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.12.0.1 |
2B, 5B.4.1 |
$9240$ |
$288$ |
$5$ |
$0.978033157$ |
$1$ |
|
$7$ |
$57600$ |
$1.465395$ |
$10091699281/2737152$ |
$1.07340$ |
$4.49910$ |
$[1, -1, 0, -19854, 789844]$ |
\(y^2+xy=x^3-x^2-19854x+789844\) |
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, $\ldots$ |
$[(-52, 1322)]$ |
9702.a4 |
9702t2 |
9702.a |
9702t |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{5} \cdot 3^{16} \cdot 7^{6} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.12.0.1 |
2B, 5B.4.1 |
$9240$ |
$288$ |
$5$ |
$1.956066314$ |
$1$ |
|
$4$ |
$115200$ |
$1.811970$ |
$168105213359/228637728$ |
$1.10021$ |
$4.83822$ |
$[1, -1, 0, 50706, 5094004]$ |
\(y^2+xy=x^3-x^2+50706x+5094004\) |
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, $\ldots$ |
$[(95, 3233)]$ |
9702.b1 |
9702z2 |
9702.b |
9702z |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{7} \cdot 3^{10} \cdot 7^{12} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$516096$ |
$2.444592$ |
$45637459887836881/13417633152$ |
$1.00677$ |
$6.16842$ |
$[1, -1, 0, -3283254, 2290077684]$ |
\(y^2+xy=x^3-x^2-3283254x+2290077684\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[]$ |
9702.b2 |
9702z1 |
9702.b |
9702z |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{14} \cdot 3^{8} \cdot 7^{9} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$258048$ |
$2.098019$ |
$-7347774183121/6119866368$ |
$0.97595$ |
$5.31414$ |
$[1, -1, 0, -178614, 45422964]$ |
\(y^2+xy=x^3-x^2-178614x+45422964\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[]$ |
9702.c1 |
9702d2 |
9702.c |
9702d |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{9} \cdot 3^{9} \cdot 7^{4} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.4 |
3B.1.2 |
$5544$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$155520$ |
$2.160980$ |
$-61279455929796531/681472$ |
$1.06485$ |
$6.13560$ |
$[1, -1, 0, -2969556, -1968891184]$ |
\(y^2+xy=x^3-x^2-2969556x-1968891184\) |
3.8.0-3.a.1.1, 9.24.0-9.b.1.1, 63.72.0-63.i.1.3, 264.16.0.?, 792.48.0.?, $\ldots$ |
$[]$ |
9702.c2 |
9702d1 |
9702.c |
9702d |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{3} \cdot 3^{3} \cdot 7^{4} \cdot 11^{9} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.2 |
3B.1.1 |
$5544$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$2$ |
$51840$ |
$1.611673$ |
$-71285434106859/18863581528$ |
$1.04378$ |
$4.72259$ |
$[1, -1, 0, -34701, -2994867]$ |
\(y^2+xy=x^3-x^2-34701x-2994867\) |
3.8.0-3.a.1.2, 9.24.0-9.b.1.2, 63.72.0-63.i.2.4, 264.16.0.?, 792.48.0.?, $\ldots$ |
$[]$ |
9702.d1 |
9702g2 |
9702.d |
9702g |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 3^{3} \cdot 7^{9} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1848$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$275968$ |
$2.458027$ |
$144106117295241933/247808$ |
$1.05758$ |
$6.57056$ |
$[1, -1, 0, -11239188, -14499945776]$ |
\(y^2+xy=x^3-x^2-11239188x-14499945776\) |
2.3.0.a.1, 88.6.0.?, 168.6.0.?, 924.6.0.?, 1848.12.0.? |
$[]$ |
9702.d2 |
9702g1 |
9702.d |
9702g |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{22} \cdot 3^{3} \cdot 7^{9} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1848$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$137984$ |
$2.111454$ |
$-35148950502093/46137344$ |
$1.02147$ |
$5.66464$ |
$[1, -1, 0, -702228, -226579760]$ |
\(y^2+xy=x^3-x^2-702228x-226579760\) |
2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.? |
$[]$ |
9702.e1 |
9702r2 |
9702.e |
9702r |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2 \cdot 3^{6} \cdot 7^{3} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$1.235769554$ |
$1$ |
|
$6$ |
$6144$ |
$0.586142$ |
$59776471/29282$ |
$0.93517$ |
$3.30449$ |
$[1, -1, 0, -513, -1625]$ |
\(y^2+xy=x^3-x^2-513x-1625\) |
2.3.0.a.1, 8.6.0.e.1, 28.6.0.c.1, 56.12.0.bd.1 |
$[(27, 47)]$ |
9702.e2 |
9702r1 |
9702.e |
9702r |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{2} \cdot 3^{6} \cdot 7^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$0.617884777$ |
$1$ |
|
$9$ |
$3072$ |
$0.239568$ |
$704969/484$ |
$0.87729$ |
$2.82081$ |
$[1, -1, 0, 117, -239]$ |
\(y^2+xy=x^3-x^2+117x-239\) |
2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1 |
$[(9, 34)]$ |
9702.f1 |
9702f1 |
9702.f |
9702f |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{6} \cdot 3^{9} \cdot 7^{10} \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$423360$ |
$2.768845$ |
$-34068278205171/10307264$ |
$1.07746$ |
$6.59106$ |
$[1, -1, 0, -11964633, 15936473069]$ |
\(y^2+xy=x^3-x^2-11964633x+15936473069\) |
132.2.0.? |
$[]$ |
9702.g1 |
9702s2 |
9702.g |
9702s |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{7} \cdot 3^{18} \cdot 7^{9} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$7.001493170$ |
$1$ |
|
$2$ |
$602112$ |
$2.844387$ |
$46546832455691959/748268928$ |
$1.13125$ |
$6.80648$ |
$[1, -1, 0, -23134428, 42834024400]$ |
\(y^2+xy=x^3-x^2-23134428x+42834024400\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[(3111, 29506)]$ |
9702.g2 |
9702s1 |
9702.g |
9702s |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{14} \cdot 3^{12} \cdot 7^{9} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$3.500746585$ |
$1$ |
|
$5$ |
$301056$ |
$2.497814$ |
$-10358806345399/1445216256$ |
$0.99802$ |
$5.91386$ |
$[1, -1, 0, -1401948, 712131664]$ |
\(y^2+xy=x^3-x^2-1401948x+712131664\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[(24, 26036)]$ |
9702.h1 |
9702h1 |
9702.h |
9702h |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{6} \cdot 3^{9} \cdot 7^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$1.360596$ |
$69426531/34496$ |
$0.96722$ |
$4.31573$ |
$[1, -1, 0, -11328, 177344]$ |
\(y^2+xy=x^3-x^2-11328x+177344\) |
2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[]$ |
9702.h2 |
9702h2 |
9702.h |
9702h |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{3} \cdot 3^{9} \cdot 7^{10} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$55296$ |
$1.707170$ |
$3436115229/2324168$ |
$1.01169$ |
$4.74076$ |
$[1, -1, 0, 41592, 1331000]$ |
\(y^2+xy=x^3-x^2+41592x+1331000\) |
2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[]$ |
9702.i1 |
9702n1 |
9702.i |
9702n |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{3} \cdot 3^{6} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$3.735481939$ |
$1$ |
|
$2$ |
$14112$ |
$0.934217$ |
$415233/88$ |
$0.82789$ |
$3.82301$ |
$[1, -1, 0, -2508, -37864]$ |
\(y^2+xy=x^3-x^2-2508x-37864\) |
88.2.0.? |
$[(-25, 106)]$ |
9702.j1 |
9702k1 |
9702.j |
9702k |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{2} \cdot 3^{9} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$0.685868154$ |
$1$ |
|
$6$ |
$2880$ |
$0.142828$ |
$189/44$ |
$0.88185$ |
$2.72500$ |
$[1, -1, 0, 12, -316]$ |
\(y^2+xy=x^3-x^2+12x-316\) |
132.2.0.? |
$[(10, 22)]$ |
9702.k1 |
9702j1 |
9702.k |
9702j |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{15} \cdot 3^{3} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$3.271184125$ |
$1$ |
|
$2$ |
$5760$ |
$0.468535$ |
$-24052806603/360448$ |
$1.00770$ |
$3.38959$ |
$[1, -1, 0, -660, -6448]$ |
\(y^2+xy=x^3-x^2-660x-6448\) |
264.2.0.? |
$[(31, 31)]$ |
9702.l1 |
9702v2 |
9702.l |
9702v |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{5} \cdot 3^{6} \cdot 7^{2} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21600$ |
$1.191610$ |
$413160293352625/42592$ |
$1.00364$ |
$4.80805$ |
$[1, -1, 0, -51102, -4433612]$ |
\(y^2+xy=x^3-x^2-51102x-4433612\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 88.2.0.?, 264.8.0.?, 1848.16.0.? |
$[]$ |
9702.l2 |
9702v1 |
9702.l |
9702v |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{15} \cdot 3^{6} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7200$ |
$0.642303$ |
$1071912625/360448$ |
$0.92911$ |
$3.40696$ |
$[1, -1, 0, -702, -4460]$ |
\(y^2+xy=x^3-x^2-702x-4460\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 88.2.0.?, 264.8.0.?, 1848.16.0.? |
$[]$ |
9702.m1 |
9702i4 |
9702.m |
9702i |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{6} \cdot 3^{9} \cdot 7^{6} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$924$ |
$96$ |
$1$ |
$1.318501249$ |
$1$ |
|
$4$ |
$69120$ |
$1.802320$ |
$4406910829875/7744$ |
$1.04926$ |
$5.52034$ |
$[1, -1, 0, -451887, 117033965]$ |
\(y^2+xy=x^3-x^2-451887x+117033965\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.h.1, 21.8.0-3.a.1.2, $\ldots$ |
$[(382, 25)]$ |
9702.m2 |
9702i3 |
9702.m |
9702i |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{12} \cdot 3^{9} \cdot 7^{6} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$924$ |
$96$ |
$1$ |
$2.637002499$ |
$1$ |
|
$3$ |
$34560$ |
$1.455748$ |
$1108717875/45056$ |
$0.99248$ |
$4.61754$ |
$[1, -1, 0, -28527, 1795373]$ |
\(y^2+xy=x^3-x^2-28527x+1795373\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.i.1, 21.8.0-3.a.1.2, $\ldots$ |
$[(62, 481)]$ |
9702.m3 |
9702i2 |
9702.m |
9702i |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{2} \cdot 3^{3} \cdot 7^{6} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$924$ |
$96$ |
$1$ |
$0.439500416$ |
$1$ |
|
$10$ |
$23040$ |
$1.253014$ |
$13060888875/7086244$ |
$1.08865$ |
$4.16817$ |
$[1, -1, 0, -7212, 60724]$ |
\(y^2+xy=x^3-x^2-7212x+60724\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.h.1, 21.8.0-3.a.1.1, $\ldots$ |
$[(-54, 566)]$ |
9702.m4 |
9702i1 |
9702.m |
9702i |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{4} \cdot 3^{3} \cdot 7^{6} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$924$ |
$96$ |
$1$ |
$0.879000833$ |
$1$ |
|
$7$ |
$11520$ |
$0.906441$ |
$2714704875/21296$ |
$0.99928$ |
$3.99705$ |
$[1, -1, 0, -4272, -105680]$ |
\(y^2+xy=x^3-x^2-4272x-105680\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.i.1, 21.8.0-3.a.1.1, $\ldots$ |
$[(-36, 40)]$ |
9702.n1 |
9702u4 |
9702.n |
9702u |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2 \cdot 3^{10} \cdot 7^{12} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$221184$ |
$2.563816$ |
$312196988566716625/25367712678$ |
$1.01456$ |
$6.37789$ |
$[1, -1, 0, -6232662, -5987079050]$ |
\(y^2+xy=x^3-x^2-6232662x-5987079050\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 21.8.0-3.a.1.1, $\ldots$ |
$[]$ |
9702.n2 |
9702u3 |
9702.n |
9702u |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{2} \cdot 3^{8} \cdot 7^{9} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$2.217243$ |
$-61653281712625/21875235228$ |
$0.98159$ |
$5.50080$ |
$[1, -1, 0, -362952, -106803572]$ |
\(y^2+xy=x^3-x^2-362952x-106803572\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 14.6.0.b.1, 21.8.0-3.a.1.1, $\ldots$ |
$[]$ |
9702.n3 |
9702u2 |
9702.n |
9702u |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{3} \cdot 3^{18} \cdot 7^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$73728$ |
$2.014511$ |
$5290763640625/2291573592$ |
$1.03705$ |
$5.18123$ |
$[1, -1, 0, -160092, 12405784]$ |
\(y^2+xy=x^3-x^2-160092x+12405784\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 21.8.0-3.a.1.2, $\ldots$ |
$[]$ |
9702.n4 |
9702u1 |
9702.n |
9702u |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{6} \cdot 3^{12} \cdot 7^{7} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.667938$ |
$50447927375/39517632$ |
$0.95390$ |
$4.67439$ |
$[1, -1, 0, 33948, 1423120]$ |
\(y^2+xy=x^3-x^2+33948x+1423120\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 14.6.0.b.1, 21.8.0-3.a.1.2, $\ldots$ |
$[]$ |
9702.o1 |
9702m2 |
9702.o |
9702m |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{5} \cdot 3^{6} \cdot 7^{8} \cdot 11^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$264$ |
$16$ |
$0$ |
$7.670700770$ |
$1$ |
|
$2$ |
$151200$ |
$2.164566$ |
$413160293352625/42592$ |
$1.00364$ |
$6.07988$ |
$[1, -1, 0, -2504007, 1525736925]$ |
\(y^2+xy=x^3-x^2-2504007x+1525736925\) |
3.8.0-3.a.1.2, 88.2.0.?, 264.16.0.? |
$[(44725/7, -137250/7)]$ |
9702.o2 |
9702m1 |
9702.o |
9702m |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{15} \cdot 3^{6} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$264$ |
$16$ |
$0$ |
$2.556900256$ |
$1$ |
|
$2$ |
$50400$ |
$1.615259$ |
$1071912625/360448$ |
$0.92911$ |
$4.67879$ |
$[1, -1, 0, -34407, 1598589]$ |
\(y^2+xy=x^3-x^2-34407x+1598589\) |
3.8.0-3.a.1.1, 88.2.0.?, 264.16.0.? |
$[(37, 594)]$ |
9702.p1 |
9702b1 |
9702.p |
9702b |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{15} \cdot 3^{3} \cdot 7^{8} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$40320$ |
$1.441490$ |
$-24052806603/360448$ |
$1.00770$ |
$4.66142$ |
$[1, -1, 0, -32349, 2276357]$ |
\(y^2+xy=x^3-x^2-32349x+2276357\) |
264.2.0.? |
$[]$ |
9702.q1 |
9702q2 |
9702.q |
9702q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{7} \cdot 3^{18} \cdot 7^{3} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$10.12538341$ |
$1$ |
|
$0$ |
$86016$ |
$1.871431$ |
$46546832455691959/748268928$ |
$1.13125$ |
$5.53466$ |
$[1, -1, 0, -472131, -124745643]$ |
\(y^2+xy=x^3-x^2-472131x-124745643\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[(23383/2, 3526087/2)]$ |
9702.q2 |
9702q1 |
9702.q |
9702q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{14} \cdot 3^{12} \cdot 7^{3} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$5.062691707$ |
$1$ |
|
$3$ |
$43008$ |
$1.524858$ |
$-10358806345399/1445216256$ |
$0.99802$ |
$4.64203$ |
$[1, -1, 0, -28611, -2068011]$ |
\(y^2+xy=x^3-x^2-28611x-2068011\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[(5830, 442013)]$ |
9702.r1 |
9702p4 |
9702.r |
9702p |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2 \cdot 3^{14} \cdot 7^{9} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$6.276208731$ |
$1$ |
|
$0$ |
$294912$ |
$2.598492$ |
$7209828390823479793/49509306$ |
$1.02603$ |
$6.71988$ |
$[1, -1, 0, -17748936, 28785485182]$ |
\(y^2+xy=x^3-x^2-17748936x+28785485182\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.z.1, 88.12.0.?, $\ldots$ |
$[(21901/3, -30929/3)]$ |
9702.r2 |
9702p3 |
9702.r |
9702p |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2 \cdot 3^{8} \cdot 7^{18} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$6.276208731$ |
$1$ |
|
$2$ |
$294912$ |
$2.598492$ |
$4770223741048753/2740574865798$ |
$1.17170$ |
$5.92242$ |
$[1, -1, 0, -1546596, 63354514]$ |
\(y^2+xy=x^3-x^2-1546596x+63354514\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.z.1, 84.12.0.?, $\ldots$ |
$[(-757, 28661)]$ |
9702.r3 |
9702p2 |
9702.r |
9702p |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{2} \cdot 3^{10} \cdot 7^{12} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$3.138104365$ |
$1$ |
|
$6$ |
$147456$ |
$2.251919$ |
$1763535241378513/4612311396$ |
$1.08205$ |
$5.81402$ |
$[1, -1, 0, -1110006, 449387392]$ |
\(y^2+xy=x^3-x^2-1110006x+449387392\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0.b.1, 84.24.0.?, 88.12.0.?, $\ldots$ |
$[(566, 1202)]$ |
9702.r4 |
9702p1 |
9702.r |
9702p |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{8} \cdot 7^{9} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1848$ |
$48$ |
$0$ |
$1.569052182$ |
$1$ |
|
$3$ |
$73728$ |
$1.905344$ |
$-100999381393/723148272$ |
$0.97843$ |
$5.03249$ |
$[1, -1, 0, -42786, 12467524]$ |
\(y^2+xy=x^3-x^2-42786x+12467524\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(275, 4493)]$ |
9702.s1 |
9702a1 |
9702.s |
9702a |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{6} \cdot 3^{9} \cdot 7^{4} \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$8.770756740$ |
$1$ |
|
$2$ |
$60480$ |
$1.795891$ |
$-34068278205171/10307264$ |
$1.07746$ |
$5.31924$ |
$[1, -1, 0, -244176, -46392256]$ |
\(y^2+xy=x^3-x^2-244176x-46392256\) |
132.2.0.? |
$[(94408, 28959976)]$ |
9702.t1 |
9702o2 |
9702.t |
9702o |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2 \cdot 3^{6} \cdot 7^{9} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$4.262240184$ |
$1$ |
|
$0$ |
$43008$ |
$1.559095$ |
$59776471/29282$ |
$0.93517$ |
$4.57632$ |
$[1, -1, 0, -25146, 607662]$ |
\(y^2+xy=x^3-x^2-25146x+607662\) |
2.3.0.a.1, 8.6.0.e.1, 28.6.0.c.1, 56.12.0.bd.1 |
$[(583/2, 627/2)]$ |
9702.t2 |
9702o1 |
9702.t |
9702o |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{2} \cdot 3^{6} \cdot 7^{9} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$2.131120092$ |
$1$ |
|
$3$ |
$21504$ |
$1.212523$ |
$704969/484$ |
$0.87729$ |
$4.09264$ |
$[1, -1, 0, 5724, 70524]$ |
\(y^2+xy=x^3-x^2+5724x+70524\) |
2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1 |
$[(60, 762)]$ |
9702.u1 |
9702e2 |
9702.u |
9702e |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{11} \cdot 3^{3} \cdot 7^{3} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1848$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$39424$ |
$1.485073$ |
$144106117295241933/247808$ |
$1.05758$ |
$5.29874$ |
$[1, -1, 0, -229371, 42339429]$ |
\(y^2+xy=x^3-x^2-229371x+42339429\) |
2.3.0.a.1, 88.6.0.?, 168.6.0.?, 924.6.0.?, 1848.12.0.? |
$[]$ |
9702.u2 |
9702e1 |
9702.u |
9702e |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{22} \cdot 3^{3} \cdot 7^{3} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1848$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$19712$ |
$1.138500$ |
$-35148950502093/46137344$ |
$1.02147$ |
$4.39282$ |
$[1, -1, 0, -14331, 664677]$ |
\(y^2+xy=x^3-x^2-14331x+664677\) |
2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.? |
$[]$ |
9702.v1 |
9702w3 |
9702.v |
9702w |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{3} \cdot 3^{6} \cdot 7^{10} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$147456$ |
$2.149433$ |
$15226621995131793/2324168$ |
$1.03578$ |
$6.04885$ |
$[1, -1, 0, -2277186, -1322083540]$ |
\(y^2+xy=x^3-x^2-2277186x-1322083540\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 24.24.0-8.k.1.3, 56.24.0.v.1, $\ldots$ |
$[]$ |
9702.v2 |
9702w4 |
9702.v |
9702w |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{3} \cdot 3^{6} \cdot 7^{7} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$147456$ |
$2.149433$ |
$24331017010833/12004097336$ |
$1.13408$ |
$5.34743$ |
$[1, -1, 0, -266226, 20369852]$ |
\(y^2+xy=x^3-x^2-266226x+20369852\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.1, 24.24.0-8.p.1.3, $\ldots$ |
$[]$ |
9702.v3 |
9702w2 |
9702.v |
9702w |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2^{6} \cdot 3^{6} \cdot 7^{8} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$73728$ |
$1.802860$ |
$3750606459153/45914176$ |
$1.08438$ |
$5.14375$ |
$[1, -1, 0, -142746, -20502028]$ |
\(y^2+xy=x^3-x^2-142746x-20502028\) |
2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.3, 28.12.0.b.1, $\ldots$ |
$[]$ |
9702.v4 |
9702w1 |
9702.v |
9702w |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 3^{6} \cdot 7^{7} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.456287$ |
$-5545233/3469312$ |
$1.05747$ |
$4.44247$ |
$[1, -1, 0, -1626, -829900]$ |
\(y^2+xy=x^3-x^2-1626x-829900\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.2, 14.6.0.b.1, $\ldots$ |
$[]$ |
9702.w1 |
9702c1 |
9702.w |
9702c |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{2} \cdot 3^{9} \cdot 7^{8} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20160$ |
$1.115784$ |
$189/44$ |
$0.88185$ |
$3.99683$ |
$[1, -1, 0, 579, 107225]$ |
\(y^2+xy=x^3-x^2+579x+107225\) |
132.2.0.? |
$[]$ |
9702.x1 |
9702x3 |
9702.x |
9702x |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \) |
\( 2 \cdot 3^{7} \cdot 7^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$36864$ |
$1.427307$ |
$4824238966273/66$ |
$1.02376$ |
$5.17117$ |
$[1, -1, 0, -155241, -23504013]$ |
\(y^2+xy=x^3-x^2-155241x-23504013\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 168.24.0.?, 264.24.0.?, $\ldots$ |
$[]$ |