| 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 |
Manin constant |
| 339864.a1 |
339864a1 |
339864.a |
339864a |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 7^{3} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$0.676983331$ |
$1$ |
|
$12$ |
$101376$ |
$0.057194$ |
$4352/9$ |
$0.67150$ |
$1.85300$ |
$[0, -1, 0, 40, 141]$ |
\(y^2=x^3-x^2+40x+141\) |
14.2.0.a.1 |
$[(-2, 7), (5, 21)]$ |
$1$ |
| 339864.b1 |
339864b1 |
339864.b |
339864b |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 7^{6} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30932928$ |
$2.942368$ |
$23324/19683$ |
$1.09674$ |
$4.60214$ |
$[0, -1, 0, 561720, 6185594556]$ |
\(y^2=x^3-x^2+561720x+6185594556\) |
6.2.0.a.1 |
$[ ]$ |
$1$ |
| 339864.c1 |
339864c1 |
339864.c |
339864c |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{8} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$2856$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2850816$ |
$1.623976$ |
$1335255248/441$ |
$0.89614$ |
$3.66925$ |
$[0, -1, 0, -121340, -16223724]$ |
\(y^2=x^3-x^2-121340x-16223724\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 34.6.0.a.1, 68.12.0.k.1, $\ldots$ |
$[ ]$ |
$1$ |
| 339864.c2 |
339864c2 |
339864.c |
339864c |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 7^{10} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$2856$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$5701632$ |
$1.970549$ |
$-214330532/194481$ |
$0.91609$ |
$3.70851$ |
$[0, -1, 0, -104680, -20855204]$ |
\(y^2=x^3-x^2-104680x-20855204\) |
2.3.0.a.1, 4.12.0.f.1, 68.24.0.j.1, 168.24.0.?, 2856.48.1.? |
$[ ]$ |
$1$ |
| 339864.d1 |
339864d1 |
339864.d |
339864d |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 7^{9} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$6.060143373$ |
$1$ |
|
$2$ |
$12063744$ |
$2.446754$ |
$4352/9$ |
$0.67150$ |
$4.10442$ |
$[0, -1, 0, 561720, -260138619]$ |
\(y^2=x^3-x^2+561720x-260138619\) |
14.2.0.a.1 |
$[(450, 9141)]$ |
$1$ |
| 339864.e1 |
339864e1 |
339864.e |
339864e |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{7} \cdot 7^{8} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$7.647393341$ |
$1$ |
|
$0$ |
$39481344$ |
$3.142357$ |
$-2343314/107163$ |
$0.94316$ |
$4.79065$ |
$[0, -1, 0, -3290072, 20548926924]$ |
\(y^2=x^3-x^2-3290072x+20548926924\) |
24.2.0.b.1 |
$[(3013/3, 3768884/3)]$ |
$1$ |
| 339864.f1 |
339864f1 |
339864.f |
339864f |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{11} \cdot 7^{4} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$204$ |
$2$ |
$0$ |
$3.964443511$ |
$1$ |
|
$2$ |
$36495360$ |
$3.145344$ |
$1717641340122148/3011499$ |
$1.01025$ |
$5.24439$ |
$[0, -1, 0, -97319112, -369493273764]$ |
\(y^2=x^3-x^2-97319112x-369493273764\) |
204.2.0.? |
$[(13130, 784924)]$ |
$1$ |
| 339864.g1 |
339864g1 |
339864.g |
339864g |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{7} \cdot 7^{12} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$18.49934337$ |
$1$ |
|
$0$ |
$177666048$ |
$3.998962$ |
$-130098552670514/257298363$ |
$0.98992$ |
$5.84695$ |
$[0, -1, 0, -1255122472, 17144653210924]$ |
\(y^2=x^3-x^2-1255122472x+17144653210924\) |
24.2.0.b.1 |
$[(11142621741/898, 1131107896468151/898)]$ |
$1$ |
| 339864.h1 |
339864h1 |
339864.h |
339864h |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{11} \cdot 3 \cdot 7^{3} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1695744$ |
$1.626043$ |
$-986078/51$ |
$0.79653$ |
$3.48207$ |
$[0, -1, 0, -53272, 4957324]$ |
\(y^2=x^3-x^2-53272x+4957324\) |
2856.2.0.? |
$[ ]$ |
$1$ |
| 339864.i1 |
339864i1 |
339864.i |
339864i |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{5} \cdot 7^{2} \cdot 17^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$204$ |
$2$ |
$0$ |
$3.164319682$ |
$1$ |
|
$6$ |
$2211840$ |
$1.717789$ |
$13805092/4131$ |
$0.83157$ |
$3.47535$ |
$[0, -1, 0, -53272, 3306556]$ |
\(y^2=x^3-x^2-53272x+3306556\) |
204.2.0.? |
$[(210, 1156), (-27/2, 15317/2)]$ |
$1$ |
| 339864.j1 |
339864j5 |
339864.j |
339864j |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{2} \cdot 7^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.210 |
2B |
$5712$ |
$192$ |
$1$ |
$1.994535825$ |
$1$ |
|
$3$ |
$7864320$ |
$2.437355$ |
$3065617154/9$ |
$1.21059$ |
$4.56513$ |
$[0, -1, 0, -5442544, 4888900108]$ |
\(y^2=x^3-x^2-5442544x+4888900108\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 16.48.0.l.1, 24.48.0.bf.1, $\ldots$ |
$[(873, 28322)]$ |
$1$ |
| 339864.j2 |
339864j4 |
339864.j |
339864j |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 3 \cdot 7^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.127 |
2B |
$5712$ |
$192$ |
$1$ |
$3.989071651$ |
$4$ |
$2$ |
$3$ |
$3932160$ |
$2.090782$ |
$28756228/3$ |
$1.05617$ |
$4.14411$ |
$[0, -1, 0, -911024, -334356420]$ |
\(y^2=x^3-x^2-911024x-334356420\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0.h.1, 16.48.0.bb.2, $\ldots$ |
$[(2046, 79764)]$ |
$1$ |
| 339864.j3 |
339864j3 |
339864.j |
339864j |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$2856$ |
$192$ |
$1$ |
$3.989071651$ |
$1$ |
|
$5$ |
$3932160$ |
$2.090782$ |
$1556068/81$ |
$1.03212$ |
$3.91510$ |
$[0, -1, 0, -344584, 74386684]$ |
\(y^2=x^3-x^2-344584x+74386684\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 476.24.0.?, $\ldots$ |
$[(478, 4320)]$ |
$1$ |
| 339864.j4 |
339864j2 |
339864.j |
339864j |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.138 |
2Cs |
$2856$ |
$192$ |
$1$ |
$1.994535825$ |
$1$ |
|
$9$ |
$1966080$ |
$1.744209$ |
$35152/9$ |
$0.97255$ |
$3.50866$ |
$[0, -1, 0, -61364, -4348476]$ |
\(y^2=x^3-x^2-61364x-4348476\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.h.1, 12.24.0.c.1, 24.96.1.bu.1, $\ldots$ |
$[(-100, 882)]$ |
$1$ |
| 339864.j5 |
339864j1 |
339864.j |
339864j |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 3 \cdot 7^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.150 |
2B |
$5712$ |
$192$ |
$1$ |
$3.989071651$ |
$1$ |
|
$3$ |
$983040$ |
$1.397636$ |
$2048/3$ |
$1.17572$ |
$3.10122$ |
$[0, -1, 0, 9441, -440040]$ |
\(y^2=x^3-x^2+9441x-440040\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.ba.1, 12.12.0.g.1, $\ldots$ |
$[(481, 10731)]$ |
$1$ |
| 339864.j6 |
339864j6 |
339864.j |
339864j |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{8} \cdot 7^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.218 |
2B |
$5712$ |
$192$ |
$1$ |
$7.978143302$ |
$1$ |
|
$1$ |
$7864320$ |
$2.437355$ |
$207646/6561$ |
$1.15980$ |
$4.12400$ |
$[0, -1, 0, 221856, 294391980]$ |
\(y^2=x^3-x^2+221856x+294391980\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.1, 48.96.1.w.2, 476.12.0.?, $\ldots$ |
$[(-2211/5, 2069388/5)]$ |
$1$ |
| 339864.k1 |
339864k2 |
339864.k |
339864k |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{3} \cdot 7^{8} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2654208$ |
$1.914919$ |
$20389313444/1323$ |
$0.93991$ |
$3.99212$ |
$[0, -1, 0, -477864, 127298844]$ |
\(y^2=x^3-x^2-477864x+127298844\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.? |
$[ ]$ |
$1$ |
| 339864.k2 |
339864k1 |
339864.k |
339864k |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{7} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1327104$ |
$1.568344$ |
$-16484816/5103$ |
$0.84429$ |
$3.35786$ |
$[0, -1, 0, -28044, 2248884]$ |
\(y^2=x^3-x^2-28044x+2248884\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 238.6.0.?, 1428.12.0.? |
$[ ]$ |
$1$ |
| 339864.l1 |
339864l2 |
339864.l |
339864l |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{3} \cdot 7^{9} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2856$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$55738368$ |
$3.294720$ |
$81344187038/7803$ |
$1.04440$ |
$5.28089$ |
$[0, -1, 0, -113632584, 466231622508]$ |
\(y^2=x^3-x^2-113632584x+466231622508\) |
2.3.0.a.1, 168.6.0.?, 408.6.0.?, 476.6.0.?, 2856.12.0.? |
$[ ]$ |
$1$ |
| 339864.l2 |
339864l1 |
339864.l |
339864l |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 7^{9} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2856$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$27869184$ |
$2.948143$ |
$-31522396/12393$ |
$1.03319$ |
$4.65037$ |
$[0, -1, 0, -6575424, 8412383484]$ |
\(y^2=x^3-x^2-6575424x+8412383484\) |
2.3.0.a.1, 168.6.0.?, 238.6.0.?, 408.6.0.?, 2856.12.0.? |
$[ ]$ |
$1$ |
| 339864.m1 |
339864m1 |
339864.m |
339864m |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{3} \cdot 7^{8} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$204$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$28514304$ |
$3.148464$ |
$10021508/27$ |
$0.87798$ |
$5.03427$ |
$[0, -1, 0, -39882096, -96703473348]$ |
\(y^2=x^3-x^2-39882096x-96703473348\) |
204.2.0.? |
$[ ]$ |
$1$ |
| 339864.n1 |
339864n1 |
339864.n |
339864n |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{14} \cdot 7^{2} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1462272$ |
$1.629698$ |
$-97550194/4782969$ |
$1.03120$ |
$3.36543$ |
$[0, -1, 0, -7576, 2352652]$ |
\(y^2=x^3-x^2-7576x+2352652\) |
136.2.0.? |
$[ ]$ |
$1$ |
| 339864.o1 |
339864o1 |
339864.o |
339864o |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{17} \cdot 7^{8} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$26.68499018$ |
$1$ |
|
$0$ |
$207747072$ |
$4.108788$ |
$-44480898716402/6327867987$ |
$0.98742$ |
$5.77967$ |
$[0, -1, 0, -877646856, -11169792745236]$ |
\(y^2=x^3-x^2-877646856x-11169792745236\) |
24.2.0.b.1 |
$[(280692055551157/43891, 4595753013278842337244/43891)]$ |
$1$ |
| 339864.p1 |
339864p1 |
339864.p |
339864p |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 7^{10} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$52.54768996$ |
$1$ |
|
$0$ |
$74317824$ |
$3.755230$ |
$-371806976516936704/89266779$ |
$1.01123$ |
$5.86332$ |
$[0, -1, 0, -1347013201, -19028113524923]$ |
\(y^2=x^3-x^2-1347013201x-19028113524923\) |
102.2.0.? |
$[(15717769687903277624995011/1524072589, 62313184683710311202903001171973857994/1524072589)]$ |
$1$ |
| 339864.q1 |
339864q1 |
339864.q |
339864q |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{14} \cdot 7^{8} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$19.41203076$ |
$1$ |
|
$0$ |
$174010368$ |
$4.019257$ |
$-97550194/4782969$ |
$1.03120$ |
$5.61685$ |
$[0, -1, 0, -107288456, -3960301215828]$ |
\(y^2=x^3-x^2-107288456x-3960301215828\) |
136.2.0.? |
$[(11574124277453/4967, 39365659885179196296/4967)]$ |
$1$ |
| 339864.r1 |
339864r1 |
339864.r |
339864r |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{3} \cdot 7^{2} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$204$ |
$2$ |
$0$ |
$1.262734658$ |
$1$ |
|
$2$ |
$239616$ |
$0.758901$ |
$10021508/27$ |
$0.87798$ |
$2.78285$ |
$[0, -1, 0, -2816, 58332]$ |
\(y^2=x^3-x^2-2816x+58332\) |
204.2.0.? |
$[(6, 204)]$ |
$1$ |
| 339864.s1 |
339864s1 |
339864.s |
339864s |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{3} \cdot 7^{6} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1866240$ |
$1.791485$ |
$-68001122/27$ |
$1.13780$ |
$3.82126$ |
$[0, -1, 0, -231296, -42753108]$ |
\(y^2=x^3-x^2-231296x-42753108\) |
24.2.0.b.1 |
$[ ]$ |
$1$ |
| 339864.t1 |
339864t1 |
339864.t |
339864t |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{11} \cdot 7^{6} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$7.904943351$ |
$1$ |
|
$2$ |
$2993760$ |
$1.843634$ |
$-73984000/177147$ |
$1.11146$ |
$3.57536$ |
$[0, -1, 0, -47203, 8962864]$ |
\(y^2=x^3-x^2-47203x+8962864\) |
6.2.0.a.1 |
$[(3731, 227499)]$ |
$1$ |
| 339864.u1 |
339864u1 |
339864.u |
339864u |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 7^{7} \cdot 17^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$2.534389934$ |
$1$ |
|
$10$ |
$5170176$ |
$2.174374$ |
$-544000/63$ |
$0.72137$ |
$3.96527$ |
$[0, -1, 0, -401228, -107029887]$ |
\(y^2=x^3-x^2-401228x-107029887\) |
14.2.0.a.1 |
$[(1349, 42483), (19564/5, 948787/5)]$ |
$1$ |
| 339864.v1 |
339864v1 |
339864.v |
339864v |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3 \cdot 7^{8} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.488655026$ |
$1$ |
|
$2$ |
$8128512$ |
$2.426792$ |
$896000/867$ |
$0.78878$ |
$4.06848$ |
$[0, -1, 0, 660847, -169734795]$ |
\(y^2=x^3-x^2+660847x-169734795\) |
6.2.0.a.1 |
$[(6109, 481474)]$ |
$1$ |
| 339864.w1 |
339864w1 |
339864.w |
339864w |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.344014649$ |
$1$ |
|
$2$ |
$285120$ |
$0.880360$ |
$-34000/27$ |
$0.81216$ |
$2.68406$ |
$[0, -1, 0, -1388, -30204]$ |
\(y^2=x^3-x^2-1388x-30204\) |
6.2.0.a.1 |
$[(160, 1954)]$ |
$1$ |
| 339864.x1 |
339864x2 |
339864.x |
339864x |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7^{9} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$168$ |
$48$ |
$1$ |
$10.63605123$ |
$1$ |
|
$1$ |
$8830976$ |
$2.550255$ |
$665500/81$ |
$0.94923$ |
$4.30676$ |
$[0, -1, 0, -1817328, -837355140]$ |
\(y^2=x^3-x^2-1817328x-837355140\) |
2.3.0.a.1, 4.12.0.f.1, 24.24.0.dr.1, 28.24.0.i.1, 168.48.1.? |
$[(261174/11, 96820956/11)]$ |
$1$ |
| 339864.x2 |
339864x1 |
339864.x |
339864x |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 7^{9} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$168$ |
$48$ |
$1$ |
$5.318025617$ |
$1$ |
|
$3$ |
$4415488$ |
$2.203682$ |
$2000/9$ |
$0.88823$ |
$3.89218$ |
$[0, -1, 0, 165212, -67336604]$ |
\(y^2=x^3-x^2+165212x-67336604\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 12.12.0.o.1, 14.6.0.b.1, $\ldots$ |
$[(520, 12606)]$ |
$1$ |
| 339864.y1 |
339864y1 |
339864.y |
339864y |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{4} \cdot 7^{9} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1.818694611$ |
$1$ |
|
$2$ |
$8460288$ |
$2.625439$ |
$-544000/27783$ |
$0.90564$ |
$4.30360$ |
$[0, -1, 0, -401228, 924287421]$ |
\(y^2=x^3-x^2-401228x+924287421\) |
14.2.0.a.1 |
$[(7418, 637245)]$ |
$1$ |
| 339864.z1 |
339864z1 |
339864.z |
339864z |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 7^{13} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1.352886387$ |
$1$ |
|
$2$ |
$6386688$ |
$2.398033$ |
$-9528223648000/7411887$ |
$1.00267$ |
$4.37078$ |
$[0, -1, 0, -2383768, 1418336389]$ |
\(y^2=x^3-x^2-2383768x+1418336389\) |
14.2.0.a.1 |
$[(1741, 50421)]$ |
$1$ |
| 339864.ba1 |
339864ba1 |
339864.ba |
339864ba |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{10} \cdot 3 \cdot 7^{6} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$24.54572079$ |
$1$ |
|
$0$ |
$9253440$ |
$2.540630$ |
$-18674500/3$ |
$0.93197$ |
$4.55514$ |
$[0, -1, 0, -5215968, -4584015876]$ |
\(y^2=x^3-x^2-5215968x-4584015876\) |
6.2.0.a.1 |
$[(5160352636754/19315, 11550848084579529592/19315)]$ |
$1$ |
| 339864.bb1 |
339864bb1 |
339864.bb |
339864bb |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{5} \cdot 7^{8} \cdot 17^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$10.36369315$ |
$1$ |
|
$0$ |
$8709120$ |
$2.489983$ |
$68782/243$ |
$0.97191$ |
$4.15820$ |
$[0, -1, 0, 561720, -366303636]$ |
\(y^2=x^3-x^2+561720x-366303636\) |
24.2.0.b.1 |
$[(4062929/73, 8738271626/73)]$ |
$1$ |
| 339864.bc1 |
339864bc1 |
339864.bc |
339864bc |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{3} \cdot 7^{7} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$33841152$ |
$3.264935$ |
$-5885299474/189$ |
$0.93481$ |
$5.28370$ |
$[0, -1, 0, -114992040, -474598934676]$ |
\(y^2=x^3-x^2-114992040x-474598934676\) |
2856.2.0.? |
$[ ]$ |
$1$ |
| 339864.bd1 |
339864bd4 |
339864.bd |
339864bd |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{3} \cdot 7^{7} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$23592960$ |
$2.917751$ |
$7080974546692/189$ |
$1.03534$ |
$5.11881$ |
$[0, -1, 0, -57101872, -166063371620]$ |
\(y^2=x^3-x^2-57101872x-166063371620\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 56.12.0.ba.1, $\ldots$ |
$[ ]$ |
$1$ |
| 339864.bd2 |
339864bd3 |
339864.bd |
339864bd |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{12} \cdot 7^{7} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$23592960$ |
$2.917751$ |
$6522128932/3720087$ |
$1.09944$ |
$4.56998$ |
$[0, -1, 0, -5555832, 606387132]$ |
\(y^2=x^3-x^2-5555832x+606387132\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 68.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
$1$ |
| 339864.bd3 |
339864bd2 |
339864.bd |
339864bd |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 7^{8} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1428$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$11796480$ |
$2.571178$ |
$6940769488/35721$ |
$0.97939$ |
$4.46602$ |
$[0, -1, 0, -3573292, -2587088300]$ |
\(y^2=x^3-x^2-3573292x-2587088300\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0.a.1, 68.12.0-2.a.1.1, 84.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 339864.bd4 |
339864bd1 |
339864.bd |
339864bd |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{10} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5898240$ |
$2.224602$ |
$-2725888/64827$ |
$1.07980$ |
$3.92622$ |
$[0, -1, 0, -103847, -83536788]$ |
\(y^2=x^3-x^2-103847x-83536788\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0.ba.1, $\ldots$ |
$[ ]$ |
$1$ |
| 339864.be1 |
339864be1 |
339864.be |
339864be |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{5} \cdot 7^{2} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.122626338$ |
$1$ |
|
$0$ |
$6683040$ |
$2.448101$ |
$-356332168192/243$ |
$0.98622$ |
$4.60902$ |
$[0, -1, 0, -6557217, 6465090213]$ |
\(y^2=x^3-x^2-6557217x+6465090213\) |
6.2.0.a.1 |
$[(13297/3, 2890/3)]$ |
$1$ |
| 339864.bf1 |
339864bf1 |
339864.bf |
339864bf |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{5} \cdot 7^{8} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$28.14925360$ |
$1$ |
|
$0$ |
$2751840$ |
$2.004448$ |
$-356332168192/243$ |
$0.98622$ |
$4.19101$ |
$[0, -1, 0, -1111777, -450835643]$ |
\(y^2=x^3-x^2-1111777x-450835643\) |
6.2.0.a.1 |
$[(3136291470881/37535, 4759598159910053046/37535)]$ |
$1$ |
| 339864.bg1 |
339864bg1 |
339864.bg |
339864bg |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 7^{9} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$18063360$ |
$2.822124$ |
$2955053056/70227$ |
$0.92261$ |
$4.63964$ |
$[0, -1, 0, -7467567, -7689013380]$ |
\(y^2=x^3-x^2-7467567x-7689013380\) |
2.3.0.a.1, 42.6.0.a.1, 204.6.0.?, 476.6.0.?, 1428.12.0.? |
$[ ]$ |
$1$ |
| 339864.bg2 |
339864bg2 |
339864.bg |
339864bg |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 7^{9} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$36126720$ |
$3.168697$ |
$390224/1003833$ |
$1.01568$ |
$4.81549$ |
$[0, -1, 0, 958228, -24068758860]$ |
\(y^2=x^3-x^2+958228x-24068758860\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 238.6.0.?, 1428.12.0.? |
$[ ]$ |
$1$ |
| 339864.bh1 |
339864bh3 |
339864.bh |
339864bh |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{11} \cdot 3 \cdot 7^{10} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$29.21344751$ |
$1$ |
|
$1$ |
$21233664$ |
$2.995983$ |
$569001644066/122451$ |
$0.92381$ |
$4.97527$ |
$[0, -1, 0, -31045632, 66578747628]$ |
\(y^2=x^3-x^2-31045632x+66578747628\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.4, 28.12.0-4.c.1.1, 136.12.0.?, $\ldots$ |
$[(7828185856673/41779, 9655420650935091010/41779)]$ |
$1$ |
| 339864.bh2 |
339864bh4 |
339864.bh |
339864bh |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{11} \cdot 3 \cdot 7^{7} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$29.21344751$ |
$1$ |
|
$1$ |
$21233664$ |
$2.995983$ |
$52767497666/1753941$ |
$0.90421$ |
$4.78856$ |
$[0, -1, 0, -14052432, -19680095028]$ |
\(y^2=x^3-x^2-14052432x-19680095028\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.4, 56.12.0-4.c.1.5, 68.12.0-4.c.1.1, $\ldots$ |
$[(3282916501949/27142, 1571235406812868495/27142)]$ |
$1$ |
| 339864.bh3 |
339864bh2 |
339864.bh |
339864bh |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 7^{8} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2856$ |
$48$ |
$0$ |
$14.60672375$ |
$1$ |
|
$3$ |
$10616832$ |
$2.649410$ |
$381775972/127449$ |
$0.85650$ |
$4.34715$ |
$[0, -1, 0, -2157192, 793992060]$ |
\(y^2=x^3-x^2-2157192x+793992060\) |
2.6.0.a.1, 24.12.0-2.a.1.2, 28.12.0-2.a.1.1, 68.12.0-2.a.1.1, 168.24.0.?, $\ldots$ |
$[(5573582/41, 11953522160/41)]$ |
$1$ |
| 339864.bh4 |
339864bh1 |
339864.bh |
339864bh |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{4} \cdot 7^{7} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$7.303361879$ |
$1$ |
|
$3$ |
$5308416$ |
$2.302837$ |
$9148592/9639$ |
$0.79089$ |
$3.94534$ |
$[0, -1, 0, 391788, 85375620]$ |
\(y^2=x^3-x^2+391788x+85375620\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.4, 28.12.0-4.c.1.2, 68.12.0-4.c.1.2, $\ldots$ |
$[(3164, 181630)]$ |
$1$ |