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 |
33462.a1 |
33462bl1 |
33462.a |
33462bl |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$132$ |
$4$ |
$0$ |
$0.223768867$ |
$1$ |
|
$8$ |
$645120$ |
$2.175972$ |
$-361585288790756017/123904$ |
$1.04372$ |
$5.49816$ |
$[1, -1, 0, -4083156, 3176740048]$ |
\(y^2+xy=x^3-x^2-4083156x+3176740048\) |
4.2.0.a.1, 132.4.0.? |
$[(1128, 1724)]$ |
33462.b1 |
33462p2 |
33462.b |
33462p |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2 \cdot 3^{9} \cdot 11^{3} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3432$ |
$16$ |
$0$ |
$0.910646802$ |
$1$ |
|
$10$ |
$24192$ |
$0.613088$ |
$8560539/2662$ |
$0.84607$ |
$2.97366$ |
$[1, -1, 0, -636, -4042]$ |
\(y^2+xy=x^3-x^2-636x-4042\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 264.8.0.?, 3432.16.0.? |
$[(37, 130), (-7, 9)]$ |
33462.b2 |
33462p1 |
33462.b |
33462p |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{3} \cdot 3^{3} \cdot 11 \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3432$ |
$16$ |
$0$ |
$0.910646802$ |
$1$ |
|
$10$ |
$8064$ |
$0.063782$ |
$361635651/88$ |
$0.88819$ |
$2.70027$ |
$[1, -1, 0, -246, 1548]$ |
\(y^2+xy=x^3-x^2-246x+1548\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 264.8.0.?, 3432.16.0.? |
$[(9, -6), (7, 8)]$ |
33462.c1 |
33462bc1 |
33462.c |
33462bc |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{23} \cdot 3^{6} \cdot 11 \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$3.888987519$ |
$1$ |
|
$0$ |
$2296320$ |
$2.776287$ |
$-2808592297029/92274688$ |
$1.06403$ |
$5.60513$ |
$[1, -1, 0, -5812026, 5545542068]$ |
\(y^2+xy=x^3-x^2-5812026x+5545542068\) |
1144.2.0.? |
$[(3043/2, 313325/2)]$ |
33462.d1 |
33462bj1 |
33462.d |
33462bj |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{5} \cdot 3^{9} \cdot 11 \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$0.561235020$ |
$1$ |
|
$4$ |
$299520$ |
$1.725723$ |
$-16835377/9504$ |
$0.86143$ |
$4.26477$ |
$[1, -1, 0, -44901, 5158453]$ |
\(y^2+xy=x^3-x^2-44901x+5158453\) |
264.2.0.? |
$[(-211, 2387)]$ |
33462.e1 |
33462o2 |
33462.e |
33462o |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{3} \cdot 3^{9} \cdot 11 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$314496$ |
$1.895563$ |
$361635651/88$ |
$0.88819$ |
$4.81018$ |
$[1, -1, 0, -374451, -88082227]$ |
\(y^2+xy=x^3-x^2-374451x-88082227\) |
3.8.0-3.a.1.1, 264.16.0.? |
$[ ]$ |
33462.e2 |
33462o1 |
33462.e |
33462o |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2 \cdot 3^{3} \cdot 11^{3} \cdot 13^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$104832$ |
$1.346256$ |
$8560539/2662$ |
$0.84607$ |
$3.81815$ |
$[1, -1, 0, -11946, 344826]$ |
\(y^2+xy=x^3-x^2-11946x+344826\) |
3.8.0-3.a.1.2, 264.16.0.? |
$[ ]$ |
33462.f1 |
33462bk1 |
33462.f |
33462bk |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 11^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.8.0.2 |
3B.1.2 |
$132$ |
$32$ |
$0$ |
$0.979607008$ |
$1$ |
|
$2$ |
$239616$ |
$1.711885$ |
$-16835377/7744$ |
$0.85871$ |
$4.25557$ |
$[1, -1, 0, -44901, -4895019]$ |
\(y^2+xy=x^3-x^2-44901x-4895019\) |
3.8.0-3.a.1.1, 4.2.0.a.1, 12.16.0-12.a.1.5, 132.32.0.? |
$[(634, 14555)]$ |
33462.f2 |
33462bk2 |
33462.f |
33462bk |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{2} \cdot 3^{6} \cdot 11^{6} \cdot 13^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.8.0.1 |
3B.1.1 |
$132$ |
$32$ |
$0$ |
$2.938821026$ |
$1$ |
|
$6$ |
$718848$ |
$2.261192$ |
$8011835663/7086244$ |
$0.94485$ |
$4.79119$ |
$[1, -1, 0, 350559, 57983121]$ |
\(y^2+xy=x^3-x^2+350559x+57983121\) |
3.8.0-3.a.1.2, 4.2.0.a.1, 12.16.0-12.a.1.6, 132.32.0.? |
$[(490, 18389)]$ |
33462.g1 |
33462bh2 |
33462.g |
33462bh |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2 \cdot 3^{8} \cdot 11 \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$1.041841814$ |
$1$ |
|
$6$ |
$215040$ |
$1.700714$ |
$174958262857/33462$ |
$0.91387$ |
$4.59478$ |
$[1, -1, 0, -177228, 28757106]$ |
\(y^2+xy=x^3-x^2-177228x+28757106\) |
2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.? |
$[(283, 957)]$ |
33462.g2 |
33462bh1 |
33462.g |
33462bh |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{2} \cdot 3^{7} \cdot 11^{2} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$0.520920907$ |
$1$ |
|
$9$ |
$107520$ |
$1.354139$ |
$-30664297/18876$ |
$0.83618$ |
$3.83412$ |
$[1, -1, 0, -9918, 548640]$ |
\(y^2+xy=x^3-x^2-9918x+548640\) |
2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.? |
$[(-3, 762)]$ |
33462.h1 |
33462n2 |
33462.h |
33462n |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 11^{4} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$35610624$ |
$4.179543$ |
$13802951728468271053322091/158357056$ |
$1.06730$ |
$7.98261$ |
$[1, -1, 0, -22803414828, 1325408688656144]$ |
\(y^2+xy=x^3-x^2-22803414828x+1325408688656144\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[ ]$ |
33462.h2 |
33462n1 |
33462.h |
33462n |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 11^{8} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$17805312$ |
$3.832966$ |
$-3369853043629824680811/11414181695488$ |
$1.13079$ |
$7.18422$ |
$[1, -1, 0, -1425212268, 20709813340880]$ |
\(y^2+xy=x^3-x^2-1425212268x+20709813340880\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[ ]$ |
33462.i1 |
33462f1 |
33462.i |
33462f |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2 \cdot 3^{9} \cdot 11 \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$3.892467843$ |
$1$ |
|
$2$ |
$449280$ |
$2.054745$ |
$-3326427/22$ |
$0.92963$ |
$4.85362$ |
$[1, -1, 0, -433770, 110695742]$ |
\(y^2+xy=x^3-x^2-433770x+110695742\) |
264.2.0.? |
$[(409, 1051)]$ |
33462.j1 |
33462bf1 |
33462.j |
33462bf |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{3} \cdot 3^{7} \cdot 11^{5} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$0.219086967$ |
$1$ |
|
$6$ |
$46080$ |
$0.923795$ |
$1130197991/3865224$ |
$0.93999$ |
$3.27874$ |
$[1, -1, 0, 1080, 29992]$ |
\(y^2+xy=x^3-x^2+1080x+29992\) |
264.2.0.? |
$[(59, 515)]$ |
33462.k1 |
33462d1 |
33462.k |
33462d |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{9} \cdot 11 \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$4.309405194$ |
$1$ |
|
$2$ |
$673920$ |
$2.322781$ |
$108911345283/5632$ |
$0.95202$ |
$5.35804$ |
$[1, -1, 0, -2509935, 1531089197]$ |
\(y^2+xy=x^3-x^2-2509935x+1531089197\) |
264.2.0.? |
$[(1021, 5146)]$ |
33462.l1 |
33462t1 |
33462.l |
33462t |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 11^{2} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$120960$ |
$1.487585$ |
$-4165509529/12584$ |
$0.87863$ |
$4.23651$ |
$[1, -1, 0, -50985, -4429931]$ |
\(y^2+xy=x^3-x^2-50985x-4429931\) |
104.2.0.? |
$[ ]$ |
33462.m1 |
33462b1 |
33462.m |
33462b |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{9} \cdot 11^{5} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$3.393160492$ |
$1$ |
|
$2$ |
$190080$ |
$1.742699$ |
$82564992800667/329832448$ |
$0.99979$ |
$4.51730$ |
$[1, -1, 0, -135420, 19148624]$ |
\(y^2+xy=x^3-x^2-135420x+19148624\) |
264.2.0.? |
$[(247, 727)]$ |
33462.n1 |
33462a1 |
33462.n |
33462a |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{11} \cdot 3^{3} \cdot 11^{5} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$4.980787924$ |
$1$ |
|
$0$ |
$823680$ |
$2.475868$ |
$82564992800667/329832448$ |
$0.99979$ |
$5.36179$ |
$[1, -1, 0, -2542890, -1554740108]$ |
\(y^2+xy=x^3-x^2-2542890x-1554740108\) |
264.2.0.? |
$[(-8321/3, 74927/3)]$ |
33462.o1 |
33462ba1 |
33462.o |
33462ba |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{5} \cdot 3^{6} \cdot 11^{4} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104$ |
$2$ |
$0$ |
$3.803303731$ |
$1$ |
|
$0$ |
$524160$ |
$2.258430$ |
$-537367797/468512$ |
$1.12727$ |
$4.86624$ |
$[1, -1, 0, -334905, 118189709]$ |
\(y^2+xy=x^3-x^2-334905x+118189709\) |
104.2.0.? |
$[(-9331/5, 1751268/5)]$ |
33462.p1 |
33462v1 |
33462.p |
33462v |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2 \cdot 3^{17} \cdot 11 \cdot 13^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$2.641766974$ |
$1$ |
|
$8$ |
$160512$ |
$1.511744$ |
$703971110401/3897234$ |
$0.98224$ |
$4.23601$ |
$[1, -1, 0, -50985, 4422627]$ |
\(y^2+xy=x^3-x^2-50985x+4422627\) |
264.2.0.? |
$[(183, 1002), (123, -93)]$ |
33462.q1 |
33462u1 |
33462.q |
33462u |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{3} \cdot 3^{9} \cdot 11^{7} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$145152$ |
$1.567915$ |
$54424690756969/4209228936$ |
$0.98271$ |
$4.16094$ |
$[1, -1, 0, -39285, -2779763]$ |
\(y^2+xy=x^3-x^2-39285x-2779763\) |
264.2.0.? |
$[ ]$ |
33462.r1 |
33462c1 |
33462.r |
33462c |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 11 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$2.832157678$ |
$1$ |
|
$0$ |
$17280$ |
$0.490999$ |
$108911345283/5632$ |
$0.95202$ |
$3.24813$ |
$[1, -1, 0, -1650, -25388]$ |
\(y^2+xy=x^3-x^2-1650x-25388\) |
264.2.0.? |
$[(-93/2, 85/2)]$ |
33462.s1 |
33462e1 |
33462.s |
33462e |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2 \cdot 3^{3} \cdot 11 \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1.222337659$ |
$1$ |
|
$2$ |
$11520$ |
$0.222962$ |
$-3326427/22$ |
$0.92963$ |
$2.74371$ |
$[1, -1, 0, -285, -1793]$ |
\(y^2+xy=x^3-x^2-285x-1793\) |
264.2.0.? |
$[(23, 47)]$ |
33462.t1 |
33462q3 |
33462.t |
33462q |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{7} \cdot 11^{3} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$207360$ |
$1.721704$ |
$57736239625/255552$ |
$0.99775$ |
$4.48836$ |
$[1, -1, 0, -122472, 16464384]$ |
\(y^2+xy=x^3-x^2-122472x+16464384\) |
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, $\ldots$ |
$[ ]$ |
33462.t2 |
33462q4 |
33462.t |
33462q |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{3} \cdot 3^{8} \cdot 11^{6} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$414720$ |
$2.068279$ |
$-7357983625/127552392$ |
$1.05287$ |
$4.62010$ |
$[1, -1, 0, -61632, 32781672]$ |
\(y^2+xy=x^3-x^2-61632x+32781672\) |
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, $\ldots$ |
$[ ]$ |
33462.t3 |
33462q1 |
33462.t |
33462q |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{9} \cdot 11 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$69120$ |
$1.172398$ |
$18609625/1188$ |
$0.92581$ |
$3.71664$ |
$[1, -1, 0, -8397, -277263]$ |
\(y^2+xy=x^3-x^2-8397x-277263\) |
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, $\ldots$ |
$[ ]$ |
33462.t4 |
33462q2 |
33462.t |
33462q |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2 \cdot 3^{12} \cdot 11^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$3432$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$138240$ |
$1.518970$ |
$9938375/176418$ |
$1.01160$ |
$3.98185$ |
$[1, -1, 0, 6813, -1180737]$ |
\(y^2+xy=x^3-x^2+6813x-1180737\) |
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, $\ldots$ |
$[ ]$ |
33462.u1 |
33462k4 |
33462.u |
33462k |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{2} \cdot 3^{9} \cdot 11^{6} \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1716$ |
$96$ |
$1$ |
$1.060413503$ |
$1$ |
|
$20$ |
$442368$ |
$2.111839$ |
$13060888875/7086244$ |
$1.08865$ |
$4.66206$ |
$[1, -1, 0, -223872, 10245860]$ |
\(y^2+xy=x^3-x^2-223872x+10245860\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.h.1, 39.8.0-3.a.1.2, $\ldots$ |
$[(842, 20028), (-16, 3726)]$ |
33462.u2 |
33462k2 |
33462.u |
33462k |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 11^{2} \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1716$ |
$96$ |
$1$ |
$1.060413503$ |
$1$ |
|
$20$ |
$147456$ |
$1.562534$ |
$4406910829875/7744$ |
$1.04926$ |
$4.58811$ |
$[1, -1, 0, -173172, 27780624]$ |
\(y^2+xy=x^3-x^2-173172x+27780624\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.h.1, 39.8.0-3.a.1.1, $\ldots$ |
$[(231, 138), (240, -132)]$ |
33462.u3 |
33462k3 |
33462.u |
33462k |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{9} \cdot 11^{3} \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1716$ |
$96$ |
$1$ |
$4.241654014$ |
$1$ |
|
$13$ |
$221184$ |
$1.765266$ |
$2714704875/21296$ |
$0.99928$ |
$4.51127$ |
$[1, -1, 0, -132612, -18428032]$ |
\(y^2+xy=x^3-x^2-132612x-18428032\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.i.1, 39.8.0-3.a.1.2, $\ldots$ |
$[(-197, 247), (-208, 456)]$ |
33462.u4 |
33462k1 |
33462.u |
33462k |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 11 \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1716$ |
$96$ |
$1$ |
$4.241654014$ |
$1$ |
|
$15$ |
$73728$ |
$1.215960$ |
$1108717875/45056$ |
$0.99248$ |
$3.79261$ |
$[1, -1, 0, -10932, 426960]$ |
\(y^2+xy=x^3-x^2-10932x+426960\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.i.1, 39.8.0-3.a.1.1, $\ldots$ |
$[(49, 60), (-56, 956)]$ |
33462.v1 |
33462bd2 |
33462.v |
33462bd |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{21} \cdot 3^{6} \cdot 11 \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3432$ |
$16$ |
$0$ |
$13.05912481$ |
$1$ |
|
$0$ |
$2044224$ |
$2.926159$ |
$-2785800837625/23068672$ |
$0.99096$ |
$5.84661$ |
$[1, -1, 0, -13628952, 19507556160]$ |
\(y^2+xy=x^3-x^2-13628952x+19507556160\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 88.2.0.?, 264.8.0.?, 3432.16.0.? |
$[(2147145/32, 361299765/32)]$ |
33462.v2 |
33462bd1 |
33462.v |
33462bd |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{7} \cdot 3^{6} \cdot 11^{3} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3432$ |
$16$ |
$0$ |
$4.353041606$ |
$1$ |
|
$2$ |
$681408$ |
$2.376854$ |
$144896375/170368$ |
$0.94115$ |
$4.90144$ |
$[1, -1, 0, 508743, 141741549]$ |
\(y^2+xy=x^3-x^2+508743x+141741549\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 88.2.0.?, 264.8.0.?, 3432.16.0.? |
$[(507, 22764)]$ |
33462.w1 |
33462bn2 |
33462.w |
33462bn |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{3} \cdot 3^{9} \cdot 11^{6} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$3432$ |
$144$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$1797120$ |
$2.998421$ |
$157158018407125/382657176$ |
$0.99933$ |
$5.98613$ |
$[1, -1, 0, -22230207, -40252036811]$ |
\(y^2+xy=x^3-x^2-22230207x-40252036811\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.f.1, 39.12.0.a.1, $\ldots$ |
$[ ]$ |
33462.w2 |
33462bn1 |
33462.w |
33462bn |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{12} \cdot 11^{3} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$3432$ |
$144$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$898560$ |
$2.651848$ |
$-9595703125/62099136$ |
$1.12480$ |
$5.29468$ |
$[1, -1, 0, -875367, -1100073155]$ |
\(y^2+xy=x^3-x^2-875367x-1100073155\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.c.1, 39.12.0.a.1, $\ldots$ |
$[ ]$ |
33462.x1 |
33462j2 |
33462.x |
33462j |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{9} \cdot 11^{2} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$516096$ |
$2.300972$ |
$211176358875/55294096$ |
$0.93598$ |
$4.92919$ |
$[1, -1, 0, -566097, 121450733]$ |
\(y^2+xy=x^3-x^2-566097x+121450733\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.? |
$[ ]$ |
33462.x2 |
33462j1 |
33462.x |
33462j |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 11 \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$258048$ |
$1.954397$ |
$9460870875/475904$ |
$0.89406$ |
$4.63111$ |
$[1, -1, 0, -201057, -33107203]$ |
\(y^2+xy=x^3-x^2-201057x-33107203\) |
2.3.0.a.1, 12.6.0.b.1, 44.6.0.e.1, 66.6.0.a.1, 132.12.0.? |
$[ ]$ |
33462.y1 |
33462r4 |
33462.y |
33462r |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{7} \cdot 11^{6} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1716$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$4644864$ |
$3.267605$ |
$30618029936661765625/3678951124992$ |
$1.13012$ |
$6.41663$ |
$[1, -1, 0, -99131967, 379884822669]$ |
\(y^2+xy=x^3-x^2-99131967x+379884822669\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.h.1, 39.8.0-3.a.1.1, $\ldots$ |
$[ ]$ |
33462.y2 |
33462r3 |
33462.y |
33462r |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{24} \cdot 3^{8} \cdot 11^{3} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1716$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2322432$ |
$2.921032$ |
$-5764706497797625/2612665516032$ |
$0.98882$ |
$5.64881$ |
$[1, -1, 0, -5681727, 6962294925]$ |
\(y^2+xy=x^3-x^2-5681727x+6962294925\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.i.1, 39.8.0-3.a.1.1, $\ldots$ |
$[ ]$ |
33462.y3 |
33462r2 |
33462.y |
33462r |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{9} \cdot 11^{2} \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1716$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1548288$ |
$2.718300$ |
$645532578015625/252306960048$ |
$1.03336$ |
$5.38314$ |
$[1, -1, 0, -2738592, -993163248]$ |
\(y^2+xy=x^3-x^2-2738592x-993163248\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.h.1, 39.8.0-3.a.1.2, $\ldots$ |
$[ ]$ |
33462.y4 |
33462r1 |
33462.y |
33462r |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 11 \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1716$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$774144$ |
$2.371727$ |
$5137417856375/4510142208$ |
$0.96333$ |
$4.91919$ |
$[1, -1, 0, 546768, -112029696]$ |
\(y^2+xy=x^3-x^2+546768x-112029696\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.i.1, 39.8.0-3.a.1.2, $\ldots$ |
$[ ]$ |
33462.z1 |
33462m1 |
33462.z |
33462m |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{21} \cdot 3^{9} \cdot 11 \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$120960$ |
$1.363644$ |
$60655851243/23068672$ |
$0.96952$ |
$3.82466$ |
$[1, -1, 0, -12219, -301339]$ |
\(y^2+xy=x^3-x^2-12219x-301339\) |
264.2.0.? |
$[ ]$ |
33462.ba1 |
33462z1 |
33462.ba |
33462z |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{5} \cdot 3^{10} \cdot 11^{3} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$3.856622552$ |
$1$ |
|
$0$ |
$46080$ |
$1.153860$ |
$-8653002877/3449952$ |
$0.94369$ |
$3.61789$ |
$[1, -1, 0, -5004, -175824]$ |
\(y^2+xy=x^3-x^2-5004x-175824\) |
1144.2.0.? |
$[(339/2, 129/2)]$ |
33462.bb1 |
33462s1 |
33462.bb |
33462s |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{14} \cdot 11^{4} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$12$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$258048$ |
$1.968336$ |
$4558438520831/6147814464$ |
$1.01753$ |
$4.44272$ |
$[1, -1, 0, 95031, 12982477]$ |
\(y^2+xy=x^3-x^2+95031x+12982477\) |
4.8.0.b.1, 12.16.0-4.b.1.1 |
$[ ]$ |
33462.bc1 |
33462be1 |
33462.bc |
33462be |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{7} \cdot 3^{11} \cdot 11 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1.384323311$ |
$1$ |
|
$4$ |
$26880$ |
$0.731202$ |
$674636521/342144$ |
$0.93273$ |
$3.07648$ |
$[1, -1, 0, -909, -3483]$ |
\(y^2+xy=x^3-x^2-909x-3483\) |
264.2.0.? |
$[(33, 24)]$ |
33462.bd1 |
33462l1 |
33462.bd |
33462l |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{21} \cdot 3^{3} \cdot 11 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$264$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$524160$ |
$2.096813$ |
$60655851243/23068672$ |
$0.96952$ |
$4.66914$ |
$[1, -1, 0, -229449, 24825997]$ |
\(y^2+xy=x^3-x^2-229449x+24825997\) |
264.2.0.? |
$[ ]$ |
33462.be1 |
33462w1 |
33462.be |
33462w |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{12} \cdot 11 \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$103680$ |
$1.273468$ |
$25943020727/262766592$ |
$0.98378$ |
$3.69587$ |
$[1, -1, 0, 3069, 265045]$ |
\(y^2+xy=x^3-x^2+3069x+265045\) |
88.2.0.? |
$[ ]$ |
33462.bf1 |
33462bg4 |
33462.bf |
33462bg |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{3} \cdot 3^{8} \cdot 11^{4} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$1.972226076$ |
$1$ |
|
$2$ |
$1032192$ |
$2.493908$ |
$13778603383488553/13703976$ |
$1.03871$ |
$5.67694$ |
$[1, -1, 0, -7596666, 8060920492]$ |
\(y^2+xy=x^3-x^2-7596666x+8060920492\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 104.12.0.?, $\ldots$ |
$[(-1303, 126134)]$ |
33462.bf2 |
33462bg3 |
33462.bf |
33462bg |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \) |
\( 2^{3} \cdot 3^{14} \cdot 11 \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3432$ |
$48$ |
$0$ |
$7.888904304$ |
$1$ |
|
$0$ |
$1032192$ |
$2.493908$ |
$47504791830313/16490207448$ |
$0.96779$ |
$5.13269$ |
$[1, -1, 0, -1147626, -299055236]$ |
\(y^2+xy=x^3-x^2-1147626x-299055236\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 88.12.0.?, 104.12.0.?, $\ldots$ |
$[(57791/5, 11972596/5)]$ |