| 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 |
| 5082.a1 |
5082e2 |
5082.a |
5082e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{7} \cdot 3^{4} \cdot 7^{6} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$161280$ |
$2.121277$ |
$45637459887836881/13417633152$ |
$1.00677$ |
$6.18118$ |
$[1, 1, 0, -900847, -329389595]$ |
\(y^2+xy=x^3+x^2-900847x-329389595\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[]$ |
| 5082.a2 |
5082e1 |
5082.a |
5082e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{2} \cdot 7^{3} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$80640$ |
$1.774704$ |
$-7347774183121/6119866368$ |
$0.97595$ |
$5.26216$ |
$[1, 1, 0, -49007, -6542235]$ |
\(y^2+xy=x^3+x^2-49007x-6542235\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[]$ |
| 5082.b1 |
5082g2 |
5082.b |
5082g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{11} \cdot 3^{22} \cdot 7^{4} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$371712$ |
$2.614029$ |
$779828911477214942771/154308452600236032$ |
$1.07342$ |
$6.48029$ |
$[1, 1, 0, -2109362, 955680180]$ |
\(y^2+xy=x^3+x^2-2109362x+955680180\) |
2.3.0.a.1, 24.6.0.i.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[]$ |
| 5082.b2 |
5082g1 |
5082.b |
5082g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{22} \cdot 3^{11} \cdot 7^{2} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$185856$ |
$2.267456$ |
$661452718394879874611/36407410163712$ |
$1.06803$ |
$6.46100$ |
$[1, 1, 0, -1996722, 1085103540]$ |
\(y^2+xy=x^3+x^2-1996722x+1085103540\) |
2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[]$ |
| 5082.c1 |
5082d1 |
5082.c |
5082d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 11^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$168$ |
$4$ |
$0$ |
$0.062387627$ |
$1$ |
|
$32$ |
$3840$ |
$0.437660$ |
$-4631003113/7056$ |
$0.96421$ |
$3.73240$ |
$[1, 1, 0, -849, 9189]$ |
\(y^2+xy=x^3+x^2-849x+9189\) |
4.2.0.a.1, 168.4.0.? |
$[(6, 63), (50, 283)]$ |
| 5082.d1 |
5082i3 |
5082.d |
5082i |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.120 |
2B |
$1232$ |
$192$ |
$1$ |
$4.230469578$ |
$1$ |
|
$2$ |
$20480$ |
$1.388048$ |
$268498407453697/252$ |
$1.05727$ |
$5.57936$ |
$[1, 1, 0, -162626, -25310424]$ |
\(y^2+xy=x^3+x^2-162626x-25310424\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 16.48.0.z.2, 28.12.0.h.1, $\ldots$ |
$[(523, 5486)]$ |
| 5082.d2 |
5082i5 |
5082.d |
5082i |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2 \cdot 3^{4} \cdot 7^{8} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$1232$ |
$192$ |
$1$ |
$0.528808697$ |
$1$ |
|
$8$ |
$40960$ |
$1.734623$ |
$84448510979617/933897762$ |
$1.05309$ |
$5.44381$ |
$[1, 1, 0, -110596, 13974646]$ |
\(y^2+xy=x^3+x^2-110596x+13974646\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 44.12.0-4.c.1.1, 88.96.0.?, $\ldots$ |
$[(-5, 3814)]$ |
| 5082.d3 |
5082i4 |
5082.d |
5082i |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 7^{4} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.96 |
2Cs |
$616$ |
$192$ |
$1$ |
$1.057617394$ |
$1$ |
|
$12$ |
$20480$ |
$1.388048$ |
$124475734657/63011844$ |
$1.06499$ |
$4.67978$ |
$[1, 1, 0, -12586, -197600]$ |
\(y^2+xy=x^3+x^2-12586x-197600\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.f.1, 44.24.0-4.b.1.1, 56.96.1.bp.2, $\ldots$ |
$[(-93, 470)]$ |
| 5082.d4 |
5082i2 |
5082.d |
5082i |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.97 |
2Cs |
$616$ |
$192$ |
$1$ |
$2.115234789$ |
$1$ |
|
$8$ |
$10240$ |
$1.041475$ |
$65597103937/63504$ |
$1.01692$ |
$4.60472$ |
$[1, 1, 0, -10166, -398460]$ |
\(y^2+xy=x^3+x^2-10166x-398460\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.i.1, 28.24.0.c.1, 44.24.0-4.b.1.3, $\ldots$ |
$[(-59, 47)]$ |
| 5082.d5 |
5082i1 |
5082.d |
5082i |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 7 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.102 |
2B |
$1232$ |
$192$ |
$1$ |
$1.057617394$ |
$1$ |
|
$7$ |
$5120$ |
$0.694901$ |
$-7189057/16128$ |
$0.98224$ |
$3.72181$ |
$[1, 1, 0, -486, -9324]$ |
\(y^2+xy=x^3+x^2-486x-9324\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 14.6.0.b.1, 16.48.0.z.1, $\ldots$ |
$[(39, 162)]$ |
| 5082.d6 |
5082i6 |
5082.d |
5082i |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2 \cdot 3^{16} \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.204 |
2B |
$1232$ |
$192$ |
$1$ |
$2.115234789$ |
$1$ |
|
$4$ |
$40960$ |
$1.734623$ |
$6359387729183/4218578658$ |
$1.08314$ |
$5.14074$ |
$[1, 1, 0, 46704, -1466406]$ |
\(y^2+xy=x^3+x^2+46704x-1466406\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.k.1, 16.48.0.e.1, 44.12.0-4.c.1.1, $\ldots$ |
$[(61, 1240)]$ |
| 5082.e1 |
5082a2 |
5082.e |
5082a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{5} \cdot 3^{2} \cdot 7^{8} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$5.968835812$ |
$1$ |
|
$2$ |
$84480$ |
$2.262642$ |
$3648707754875/1660262688$ |
$1.02320$ |
$5.91864$ |
$[1, 1, 0, -426890, -49807116]$ |
\(y^2+xy=x^3+x^2-426890x-49807116\) |
2.3.0.a.1, 24.6.0.i.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[(24371, 3791147)]$ |
| 5082.e2 |
5082a1 |
5082.e |
5082a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 3 \cdot 7^{4} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$2.984417906$ |
$1$ |
|
$3$ |
$42240$ |
$1.916067$ |
$459206250875/7375872$ |
$0.98362$ |
$5.67575$ |
$[1, 1, 0, -213930, 37463892]$ |
\(y^2+xy=x^3+x^2-213930x+37463892\) |
2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[(-508, 4174)]$ |
| 5082.f1 |
5082h1 |
5082.f |
5082h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{20} \cdot 3^{2} \cdot 7^{2} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$168$ |
$4$ |
$0$ |
$1.913331071$ |
$1$ |
|
$4$ |
$42240$ |
$1.945690$ |
$228516153239/462422016$ |
$0.99337$ |
$5.42020$ |
$[1, 1, 0, 76228, -12768048]$ |
\(y^2+xy=x^3+x^2+76228x-12768048\) |
4.2.0.a.1, 168.4.0.? |
$[(152, 1460)]$ |
| 5082.g1 |
5082b1 |
5082.g |
5082b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{5} \cdot 3^{11} \cdot 7^{3} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7920$ |
$0.997587$ |
$-178284948703873/1944365472$ |
$1.00435$ |
$4.40957$ |
$[1, 1, 0, -5799, 169173]$ |
\(y^2+xy=x^3+x^2-5799x+169173\) |
168.2.0.? |
$[]$ |
| 5082.h1 |
5082c1 |
5082.h |
5082c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{13} \cdot 3^{21} \cdot 7 \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$720720$ |
$3.116871$ |
$146234339790153527/599838494072832$ |
$1.05887$ |
$7.09132$ |
$[1, 1, 0, 6568846, -15986285388]$ |
\(y^2+xy=x^3+x^2+6568846x-15986285388\) |
168.2.0.? |
$[]$ |
| 5082.i1 |
5082f2 |
5082.i |
5082f |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2 \cdot 3^{2} \cdot 7^{4} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$33792$ |
$1.411972$ |
$286191179/43218$ |
$0.92671$ |
$4.81085$ |
$[1, 1, 0, -18273, -824985]$ |
\(y^2+xy=x^3+x^2-18273x-824985\) |
2.3.0.a.1, 24.6.0.i.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[]$ |
| 5082.i2 |
5082f1 |
5082.i |
5082f |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$16896$ |
$1.065399$ |
$5735339/588$ |
$0.87391$ |
$4.35266$ |
$[1, 1, 0, -4963, 120025]$ |
\(y^2+xy=x^3+x^2-4963x+120025\) |
2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[]$ |
| 5082.j1 |
5082k1 |
5082.j |
5082k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 7^{2} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$168$ |
$4$ |
$0$ |
$0.188627889$ |
$1$ |
|
$10$ |
$84480$ |
$2.004646$ |
$-1397395501513/740710656$ |
$1.07707$ |
$5.60136$ |
$[1, 0, 1, -139395, -27739010]$ |
\(y^2+xy+y=x^3-139395x-27739010\) |
4.2.0.a.1, 168.4.0.? |
$[(1583, 60192)]$ |
| 5082.k1 |
5082l2 |
5082.k |
5082l |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{5} \cdot 3^{6} \cdot 7^{2} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1848$ |
$12$ |
$0$ |
$2.403321236$ |
$1$ |
|
$4$ |
$63360$ |
$1.843313$ |
$512576216027/1143072$ |
$0.98391$ |
$5.68864$ |
$[1, 0, 1, -221917, -40178536]$ |
\(y^2+xy+y=x^3-221917x-40178536\) |
2.3.0.a.1, 88.6.0.?, 168.6.0.?, 924.6.0.?, 1848.12.0.? |
$[(-278, 359)]$ |
| 5082.k2 |
5082l1 |
5082.k |
5082l |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 7 \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1848$ |
$12$ |
$0$ |
$4.806642472$ |
$1$ |
|
$3$ |
$31680$ |
$1.496738$ |
$-33698267/193536$ |
$0.95858$ |
$4.84036$ |
$[1, 0, 1, -8957, -1079080]$ |
\(y^2+xy+y=x^3-8957x-1079080\) |
2.3.0.a.1, 88.6.0.?, 168.6.0.?, 462.6.0.?, 1848.12.0.? |
$[(180, 1684)]$ |
| 5082.l1 |
5082j4 |
5082.l |
5082j |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2 \cdot 3^{4} \cdot 7^{6} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$1.191713507$ |
$1$ |
|
$4$ |
$69120$ |
$2.240505$ |
$312196988566716625/25367712678$ |
$1.01456$ |
$6.40652$ |
$[1, 0, 1, -1710096, 860550304]$ |
\(y^2+xy+y=x^3-1710096x+860550304\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.4, 28.6.0.c.1, $\ldots$ |
$[(956, 9504)]$ |
| 5082.l2 |
5082j3 |
5082.l |
5082j |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{2} \cdot 3^{2} \cdot 7^{3} \cdot 11^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$2.383427014$ |
$1$ |
|
$3$ |
$34560$ |
$1.893930$ |
$-61653281712625/21875235228$ |
$0.98159$ |
$5.46298$ |
$[1, 0, 1, -99586, 15354656]$ |
\(y^2+xy+y=x^3-99586x+15354656\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 14.6.0.b.1, 24.24.0-6.a.1.15, $\ldots$ |
$[(175, 1727)]$ |
| 5082.l3 |
5082j2 |
5082.l |
5082j |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{3} \cdot 3^{12} \cdot 7^{2} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$0.397237835$ |
$1$ |
|
$10$ |
$23040$ |
$1.691198$ |
$5290763640625/2291573592$ |
$1.03705$ |
$5.11918$ |
$[1, 0, 1, -43926, -1780880]$ |
\(y^2+xy+y=x^3-43926x-1780880\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.12, 28.6.0.c.1, $\ldots$ |
$[(-100, 1320)]$ |
| 5082.l4 |
5082j1 |
5082.l |
5082j |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 7 \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$0.794475671$ |
$1$ |
|
$9$ |
$11520$ |
$1.344625$ |
$50447927375/39517632$ |
$0.95390$ |
$4.57395$ |
$[1, 0, 1, 9314, -204976]$ |
\(y^2+xy+y=x^3+9314x-204976\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 14.6.0.b.1, 24.24.0-6.a.1.7, $\ldots$ |
$[(109, 1397)]$ |
| 5082.m1 |
5082m1 |
5082.m |
5082m |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{11} \cdot 3 \cdot 7^{3} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1584$ |
$0.292432$ |
$-13475473/2107392$ |
$1.00923$ |
$3.14236$ |
$[1, 0, 1, -25, -772]$ |
\(y^2+xy+y=x^3-25x-772\) |
168.2.0.? |
$[]$ |
| 5082.n1 |
5082n3 |
5082.n |
5082n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2 \cdot 3^{8} \cdot 7^{3} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$616$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$92160$ |
$2.275177$ |
$7209828390823479793/49509306$ |
$1.02603$ |
$6.77443$ |
$[1, 0, 1, -4869890, -4136846254]$ |
\(y^2+xy+y=x^3-4869890x-4136846254\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 56.24.0-56.z.1.14, 88.24.0.?, $\ldots$ |
$[]$ |
| 5082.n2 |
5082n4 |
5082.n |
5082n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2 \cdot 3^{2} \cdot 7^{12} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$616$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$92160$ |
$2.275177$ |
$4770223741048753/2740574865798$ |
$1.17170$ |
$5.91654$ |
$[1, 0, 1, -424350, -9085166]$ |
\(y^2+xy+y=x^3-424350x-9085166\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 44.12.0-4.c.1.1, 56.24.0-56.z.1.6, $\ldots$ |
$[]$ |
| 5082.n3 |
5082n2 |
5082.n |
5082n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 7^{6} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$616$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$46080$ |
$1.928604$ |
$1763535241378513/4612311396$ |
$1.08205$ |
$5.79993$ |
$[1, 0, 1, -304560, -64571894]$ |
\(y^2+xy+y=x^3-304560x-64571894\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0.b.1, 44.12.0-2.a.1.1, 56.24.0-28.b.1.4, $\ldots$ |
$[]$ |
| 5082.n4 |
5082n1 |
5082.n |
5082n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 7^{3} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$616$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$23040$ |
$1.582031$ |
$-100999381393/723148272$ |
$0.97843$ |
$4.95918$ |
$[1, 0, 1, -11740, -1791286]$ |
\(y^2+xy+y=x^3-11740x-1791286\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[]$ |
| 5082.o1 |
5082p2 |
5082.o |
5082p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{11} \cdot 3^{22} \cdot 7^{4} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4088832$ |
$3.812977$ |
$779828911477214942771/154308452600236032$ |
$1.07342$ |
$8.16628$ |
$[1, 1, 1, -255232865, -1273286483809]$ |
\(y^2+xy+y=x^3+x^2-255232865x-1273286483809\) |
2.3.0.a.1, 24.6.0.i.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[]$ |
| 5082.o2 |
5082p1 |
5082.o |
5082p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{22} \cdot 3^{11} \cdot 7^{2} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2044416$ |
$3.466404$ |
$661452718394879874611/36407410163712$ |
$1.06803$ |
$8.14699$ |
$[1, 1, 1, -241603425, -1445480828769]$ |
\(y^2+xy+y=x^3+x^2-241603425x-1445480828769\) |
2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[]$ |
| 5082.p1 |
5082x1 |
5082.p |
5082x |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$1848$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$42240$ |
$1.636608$ |
$-4631003113/7056$ |
$0.96421$ |
$5.41839$ |
$[1, 1, 1, -102792, -12744423]$ |
\(y^2+xy+y=x^3+x^2-102792x-12744423\) |
4.2.0.a.1, 1848.4.0.? |
$[]$ |
| 5082.q1 |
5082r4 |
5082.q |
5082r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2 \cdot 3 \cdot 7 \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1848$ |
$48$ |
$0$ |
$4.875789483$ |
$1$ |
|
$0$ |
$15360$ |
$1.264608$ |
$1285429208617/614922$ |
$0.94933$ |
$4.95338$ |
$[1, 1, 1, -27409, 1734437]$ |
\(y^2+xy+y=x^3+x^2-27409x+1734437\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 88.24.0.?, 168.24.0.?, $\ldots$ |
$[(391/2, -117/2)]$ |
| 5082.q2 |
5082r3 |
5082.q |
5082r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2 \cdot 3^{4} \cdot 7^{4} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1848$ |
$48$ |
$0$ |
$4.875789483$ |
$1$ |
|
$0$ |
$15360$ |
$1.264608$ |
$223980311017/4278582$ |
$0.93681$ |
$4.74862$ |
$[1, 1, 1, -15309, -723315]$ |
\(y^2+xy+y=x^3+x^2-15309x-723315\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 88.24.0.?, 168.24.0.?, 1848.48.0.? |
$[(4039/2, 250783/2)]$ |
| 5082.q3 |
5082r2 |
5082.q |
5082r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1848$ |
$48$ |
$0$ |
$2.437894741$ |
$1$ |
|
$6$ |
$7680$ |
$0.918035$ |
$498677257/213444$ |
$0.90408$ |
$4.03293$ |
$[1, 1, 1, -1999, 16721]$ |
\(y^2+xy+y=x^3+x^2-1999x+16721\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 88.24.0.?, 168.24.0.?, 924.24.0.?, $\ldots$ |
$[(7, 52)]$ |
| 5082.q4 |
5082r1 |
5082.q |
5082r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3 \cdot 7 \cdot 11^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1848$ |
$48$ |
$0$ |
$4.875789483$ |
$1$ |
|
$5$ |
$3840$ |
$0.571461$ |
$4657463/3696$ |
$0.84999$ |
$3.48526$ |
$[1, 1, 1, 421, 2201]$ |
\(y^2+xy+y=x^3+x^2+421x+2201\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 88.24.0.?, 168.24.0.?, 462.6.0.?, $\ldots$ |
$[(251, 3874)]$ |
| 5082.r1 |
5082s2 |
5082.r |
5082s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{5} \cdot 3^{2} \cdot 7^{8} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$0.167966339$ |
$1$ |
|
$12$ |
$7680$ |
$1.063694$ |
$3648707754875/1660262688$ |
$1.02320$ |
$4.23264$ |
$[1, 1, 1, -3528, 35817]$ |
\(y^2+xy+y=x^3+x^2-3528x+35817\) |
2.3.0.a.1, 24.6.0.i.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[(-5, 233)]$ |
| 5082.r2 |
5082s1 |
5082.r |
5082s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 3 \cdot 7^{4} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$0.335932679$ |
$1$ |
|
$9$ |
$3840$ |
$0.717120$ |
$459206250875/7375872$ |
$0.98362$ |
$3.98976$ |
$[1, 1, 1, -1768, -28951]$ |
\(y^2+xy+y=x^3+x^2-1768x-28951\) |
2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[(-23, 25)]$ |
| 5082.s1 |
5082t2 |
5082.s |
5082t |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2 \cdot 3^{8} \cdot 7^{2} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15360$ |
$1.269157$ |
$129938649625/7072758$ |
$0.93356$ |
$4.68482$ |
$[1, 1, 1, -12768, 523227]$ |
\(y^2+xy+y=x^3+x^2-12768x+523227\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[]$ |
| 5082.s2 |
5082t1 |
5082.s |
5082t |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{2} \cdot 3^{4} \cdot 7 \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$0.922583$ |
$9938375/274428$ |
$0.92985$ |
$4.02455$ |
$[1, 1, 1, 542, 33419]$ |
\(y^2+xy+y=x^3+x^2+542x+33419\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[]$ |
| 5082.t1 |
5082q1 |
5082.t |
5082q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{20} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$1848$ |
$4$ |
$0$ |
$0.080996063$ |
$1$ |
|
$12$ |
$3840$ |
$0.746742$ |
$228516153239/462422016$ |
$0.99337$ |
$3.73420$ |
$[1, 1, 1, 630, 9879]$ |
\(y^2+xy+y=x^3+x^2+630x+9879\) |
4.2.0.a.1, 1848.4.0.? |
$[(73, 635)]$ |
| 5082.u1 |
5082w1 |
5082.u |
5082w |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{13} \cdot 3^{21} \cdot 7 \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$65520$ |
$1.917923$ |
$146234339790153527/599838494072832$ |
$1.05887$ |
$5.40532$ |
$[1, 1, 1, 54288, 12035409]$ |
\(y^2+xy+y=x^3+x^2+54288x+12035409\) |
168.2.0.? |
$[]$ |
| 5082.v1 |
5082u3 |
5082.v |
5082u |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{5} \cdot 3^{12} \cdot 7^{2} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$230400$ |
$2.538254$ |
$86129359107301290313/9166294368$ |
$1.03413$ |
$7.06510$ |
$[1, 1, 1, -11132547, -14301472767]$ |
\(y^2+xy+y=x^3+x^2-11132547x-14301472767\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.bb.1.5, 88.24.0.?, 264.48.0.? |
$[]$ |
| 5082.v2 |
5082u2 |
5082.v |
5082u |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 7^{4} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$115200$ |
$2.191681$ |
$21184262604460873/216872764416$ |
$1.00370$ |
$6.09125$ |
$[1, 1, 1, -697507, -222516799]$ |
\(y^2+xy+y=x^3+x^2-697507x-222516799\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.6, 88.24.0.?, 132.24.0.?, $\ldots$ |
$[]$ |
| 5082.v3 |
5082u4 |
5082.v |
5082u |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{5} \cdot 3^{3} \cdot 7^{8} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$230400$ |
$2.538254$ |
$-333345918055753/72923718045024$ |
$1.06509$ |
$6.30051$ |
$[1, 1, 1, -174787, -547648639]$ |
\(y^2+xy+y=x^3+x^2-174787x-547648639\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.v.1.6, 88.24.0.?, $\ldots$ |
$[]$ |
| 5082.v4 |
5082u1 |
5082.v |
5082u |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{20} \cdot 3^{3} \cdot 7^{2} \cdot 11^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$57600$ |
$1.845106$ |
$29609739866953/15259926528$ |
$1.00455$ |
$5.32099$ |
$[1, 1, 1, -77987, 2740673]$ |
\(y^2+xy+y=x^3+x^2-77987x+2740673\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.bb.1.13, 66.6.0.a.1, 88.24.0.?, $\ldots$ |
$[]$ |
| 5082.w1 |
5082v1 |
5082.w |
5082v |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{5} \cdot 3^{11} \cdot 7^{3} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$87120$ |
$2.196533$ |
$-178284948703873/1944365472$ |
$1.00435$ |
$6.09556$ |
$[1, 1, 1, -701742, -228677877]$ |
\(y^2+xy+y=x^3+x^2-701742x-228677877\) |
168.2.0.? |
$[]$ |
| 5082.x1 |
5082o2 |
5082.x |
5082o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2 \cdot 3^{2} \cdot 7^{4} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3072$ |
$0.213024$ |
$286191179/43218$ |
$0.92671$ |
$3.12486$ |
$[1, 1, 1, -151, 551]$ |
\(y^2+xy+y=x^3+x^2-151x+551\) |
2.3.0.a.1, 24.6.0.i.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[]$ |
| 5082.x2 |
5082o1 |
5082.x |
5082o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$-0.133549$ |
$5735339/588$ |
$0.87391$ |
$2.66666$ |
$[1, 1, 1, -41, -109]$ |
\(y^2+xy+y=x^3+x^2-41x-109\) |
2.3.0.a.1, 24.6.0.i.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[]$ |
