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 |
116.b2 |
116b2 |
116.b |
116b |
$2$ |
$3$ |
\( 2^{2} \cdot 29 \) |
\( - 2^{8} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$348$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24$ |
$-0.010013$ |
$19600688/24389$ |
$0.87422$ |
$4.72824$ |
$[0, 1, 0, 36, -76]$ |
\(y^2=x^3+x^2+36x-76\) |
3.8.0-3.a.1.1, 116.2.0.?, 348.16.0.? |
$[ ]$ |
464.c2 |
464d2 |
464.c |
464d |
$2$ |
$3$ |
\( 2^{4} \cdot 29 \) |
\( - 2^{8} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$348$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$96$ |
$-0.010013$ |
$19600688/24389$ |
$0.87422$ |
$3.66068$ |
$[0, -1, 0, 36, 76]$ |
\(y^2=x^3-x^2+36x+76\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 116.2.0.?, 174.8.0.?, 348.16.0.? |
$[ ]$ |
1044.b2 |
1044j2 |
1044.b |
1044j |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 29 \) |
\( - 2^{8} \cdot 3^{6} \cdot 29^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$348$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$720$ |
$0.539292$ |
$19600688/24389$ |
$0.87422$ |
$4.18193$ |
$[0, 0, 0, 321, 2374]$ |
\(y^2=x^3+321x+2374\) |
3.8.0-3.a.1.2, 116.2.0.?, 348.16.0.? |
$[ ]$ |
1856.d2 |
1856d2 |
1856.d |
1856d |
$2$ |
$3$ |
\( 2^{6} \cdot 29 \) |
\( - 2^{14} \cdot 29^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$0.231052836$ |
$1$ |
|
$20$ |
$768$ |
$0.336560$ |
$19600688/24389$ |
$0.87422$ |
$3.53898$ |
$[0, -1, 0, 143, -751]$ |
\(y^2=x^3-x^2+143x-751\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 116.2.0.?, 348.8.0.?, 696.16.0.? |
$[(37, 232), (13, 56)]$ |
1856.i2 |
1856j2 |
1856.i |
1856j |
$2$ |
$3$ |
\( 2^{6} \cdot 29 \) |
\( - 2^{14} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$0.462357668$ |
$1$ |
|
$2$ |
$768$ |
$0.336560$ |
$19600688/24389$ |
$0.87422$ |
$3.53898$ |
$[0, 1, 0, 143, 751]$ |
\(y^2=x^3+x^2+143x+751\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 116.2.0.?, 348.8.0.?, 696.16.0.? |
$[(21, 116)]$ |
2900.b2 |
2900b2 |
2900.b |
2900b |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 29 \) |
\( - 2^{8} \cdot 5^{6} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1740$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2592$ |
$0.794705$ |
$19600688/24389$ |
$0.87422$ |
$4.03047$ |
$[0, -1, 0, 892, -11288]$ |
\(y^2=x^3-x^2+892x-11288\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 116.2.0.?, 348.8.0.?, 1740.16.0.? |
$[ ]$ |
3364.b2 |
3364a2 |
3364.b |
3364a |
$2$ |
$3$ |
\( 2^{2} \cdot 29^{2} \) |
\( - 2^{8} \cdot 29^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$348$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20160$ |
$1.673634$ |
$19600688/24389$ |
$0.87422$ |
$5.25557$ |
$[0, -1, 0, 29996, -2154424]$ |
\(y^2=x^3-x^2+29996x-2154424\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 87.8.0.?, 116.2.0.?, 348.16.0.? |
$[ ]$ |
4176.f2 |
4176bi2 |
4176.f |
4176bi |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 29 \) |
\( - 2^{8} \cdot 3^{6} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$348$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2880$ |
$0.539292$ |
$19600688/24389$ |
$0.87422$ |
$3.48656$ |
$[0, 0, 0, 321, -2374]$ |
\(y^2=x^3+321x-2374\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 116.2.0.?, 174.8.0.?, 348.16.0.? |
$[ ]$ |
5684.d2 |
5684f2 |
5684.d |
5684f |
$2$ |
$3$ |
\( 2^{2} \cdot 7^{2} \cdot 29 \) |
\( - 2^{8} \cdot 7^{6} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2436$ |
$16$ |
$0$ |
$2.053715446$ |
$1$ |
|
$2$ |
$6912$ |
$0.962941$ |
$19600688/24389$ |
$0.87422$ |
$3.95026$ |
$[0, -1, 0, 1748, 29576]$ |
\(y^2=x^3-x^2+1748x+29576\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 116.2.0.?, 348.8.0.?, 2436.16.0.? |
$[(5, 196)]$ |
11600.t2 |
11600s2 |
11600.t |
11600s |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 29 \) |
\( - 2^{8} \cdot 5^{6} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1740$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10368$ |
$0.794705$ |
$19600688/24389$ |
$0.87422$ |
$3.43344$ |
$[0, 1, 0, 892, 11288]$ |
\(y^2=x^3+x^2+892x+11288\) |
3.4.0.a.1, 60.8.0-3.a.1.1, 116.2.0.?, 348.8.0.?, 870.8.0.?, $\ldots$ |
$[ ]$ |
13456.m2 |
13456e2 |
13456.m |
13456e |
$2$ |
$3$ |
\( 2^{4} \cdot 29^{2} \) |
\( - 2^{8} \cdot 29^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$348$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$80640$ |
$1.673634$ |
$19600688/24389$ |
$0.87422$ |
$4.48923$ |
$[0, 1, 0, 29996, 2154424]$ |
\(y^2=x^3+x^2+29996x+2154424\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 116.2.0.?, 348.16.0.? |
$[ ]$ |
14036.f2 |
14036d2 |
14036.f |
14036d |
$2$ |
$3$ |
\( 2^{2} \cdot 11^{2} \cdot 29 \) |
\( - 2^{8} \cdot 11^{6} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3828$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32400$ |
$1.188934$ |
$19600688/24389$ |
$0.87422$ |
$3.86030$ |
$[0, 1, 0, 4316, 118468]$ |
\(y^2=x^3+x^2+4316x+118468\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 116.2.0.?, 348.8.0.?, 3828.16.0.? |
$[ ]$ |
16704.cu2 |
16704y2 |
16704.cu |
16704y |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{14} \cdot 3^{6} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$0.885866$ |
$19600688/24389$ |
$0.87422$ |
$3.41719$ |
$[0, 0, 0, 1284, 18992]$ |
\(y^2=x^3+1284x+18992\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 116.2.0.?, 348.8.0.?, 696.16.0.? |
$[ ]$ |
16704.cz2 |
16704cq2 |
16704.cz |
16704cq |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{14} \cdot 3^{6} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$6.351388886$ |
$1$ |
|
$0$ |
$23040$ |
$0.885866$ |
$19600688/24389$ |
$0.87422$ |
$3.41719$ |
$[0, 0, 0, 1284, -18992]$ |
\(y^2=x^3+1284x-18992\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 116.2.0.?, 348.8.0.?, 696.16.0.? |
$[(444/5, 12128/5)]$ |
19604.b2 |
19604a2 |
19604.b |
19604a |
$2$ |
$3$ |
\( 2^{2} \cdot 13^{2} \cdot 29 \) |
\( - 2^{8} \cdot 13^{6} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4524$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$49248$ |
$1.272461$ |
$19600688/24389$ |
$0.87422$ |
$3.83122$ |
$[0, 1, 0, 6028, -191164]$ |
\(y^2=x^3+x^2+6028x-191164\) |
3.4.0.a.1, 39.8.0-3.a.1.2, 116.2.0.?, 348.8.0.?, 4524.16.0.? |
$[ ]$ |
22736.v2 |
22736v2 |
22736.v |
22736v |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 29 \) |
\( - 2^{8} \cdot 7^{6} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2436$ |
$16$ |
$0$ |
$4.179262296$ |
$1$ |
|
$0$ |
$27648$ |
$0.962941$ |
$19600688/24389$ |
$0.87422$ |
$3.40437$ |
$[0, 1, 0, 1748, -29576]$ |
\(y^2=x^3+x^2+1748x-29576\) |
3.4.0.a.1, 84.8.0.?, 116.2.0.?, 348.8.0.?, 1218.8.0.?, $\ldots$ |
$[(151/3, 1862/3)]$ |
26100.bh2 |
26100z2 |
26100.bh |
26100z |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 29 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1740$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$77760$ |
$1.344011$ |
$19600688/24389$ |
$0.87422$ |
$3.80783$ |
$[0, 0, 0, 8025, 296750]$ |
\(y^2=x^3+8025x+296750\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 116.2.0.?, 348.8.0.?, 1740.16.0.? |
$[ ]$ |
30276.b2 |
30276m2 |
30276.b |
30276m |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 29^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 29^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$348$ |
$16$ |
$0$ |
$5.390735819$ |
$1$ |
|
$0$ |
$604800$ |
$2.222942$ |
$19600688/24389$ |
$0.87422$ |
$4.77525$ |
$[0, 0, 0, 269961, 57899486]$ |
\(y^2=x^3+269961x+57899486\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 87.8.0.?, 116.2.0.?, 348.16.0.? |
$[(-406/11, 10048268/11)]$ |
33524.b2 |
33524d2 |
33524.b |
33524d |
$2$ |
$3$ |
\( 2^{2} \cdot 17^{2} \cdot 29 \) |
\( - 2^{8} \cdot 17^{6} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5916$ |
$16$ |
$0$ |
$2.070885198$ |
$1$ |
|
$2$ |
$110592$ |
$1.406593$ |
$19600688/24389$ |
$0.87422$ |
$3.78842$ |
$[0, -1, 0, 10308, -435416]$ |
\(y^2=x^3-x^2+10308x-435416\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 116.2.0.?, 348.8.0.?, 5916.16.0.? |
$[(57, 578)]$ |
41876.d2 |
41876c2 |
41876.d |
41876c |
$2$ |
$3$ |
\( 2^{2} \cdot 19^{2} \cdot 29 \) |
\( - 2^{8} \cdot 19^{6} \cdot 29^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6612$ |
$16$ |
$0$ |
$0.621771179$ |
$1$ |
|
$8$ |
$165888$ |
$1.462206$ |
$19600688/24389$ |
$0.87422$ |
$3.77194$ |
$[0, -1, 0, 12876, 598792]$ |
\(y^2=x^3-x^2+12876x+598792\) |
3.4.0.a.1, 57.8.0-3.a.1.2, 116.2.0.?, 348.8.0.?, 6612.16.0.? |
$[(754, 20938), (-6, 722)]$ |
46400.s2 |
46400bz2 |
46400.s |
46400bz |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 29 \) |
\( - 2^{14} \cdot 5^{6} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3480$ |
$16$ |
$0$ |
$1.352961185$ |
$1$ |
|
$2$ |
$82944$ |
$1.141279$ |
$19600688/24389$ |
$0.87422$ |
$3.37752$ |
$[0, -1, 0, 3567, 86737]$ |
\(y^2=x^3-x^2+3567x+86737\) |
3.4.0.a.1, 116.2.0.?, 120.8.0.?, 348.8.0.?, 3480.16.0.? |
$[(-9, 232)]$ |
46400.ca2 |
46400n2 |
46400.ca |
46400n |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 29 \) |
\( - 2^{14} \cdot 5^{6} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3480$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$82944$ |
$1.141279$ |
$19600688/24389$ |
$0.87422$ |
$3.37752$ |
$[0, 1, 0, 3567, -86737]$ |
\(y^2=x^3+x^2+3567x-86737\) |
3.4.0.a.1, 116.2.0.?, 120.8.0.?, 348.8.0.?, 3480.16.0.? |
$[ ]$ |
51156.ba2 |
51156be2 |
51156.ba |
51156be |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 29 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{6} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2436$ |
$16$ |
$0$ |
$1.382190108$ |
$1$ |
|
$2$ |
$207360$ |
$1.512247$ |
$19600688/24389$ |
$0.87422$ |
$3.75769$ |
$[0, 0, 0, 15729, -814282]$ |
\(y^2=x^3+15729x-814282\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 116.2.0.?, 348.8.0.?, 2436.16.0.? |
$[(182, 2842)]$ |
53824.l2 |
53824y2 |
53824.l |
53824y |
$2$ |
$3$ |
\( 2^{6} \cdot 29^{2} \) |
\( - 2^{14} \cdot 29^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$645120$ |
$2.020206$ |
$19600688/24389$ |
$0.87422$ |
$4.29971$ |
$[0, -1, 0, 119983, 17115409]$ |
\(y^2=x^3-x^2+119983x+17115409\) |
3.4.0.a.1, 24.8.0-3.a.1.5, 116.2.0.?, 348.8.0.?, 696.16.0.? |
$[ ]$ |
53824.x2 |
53824b2 |
53824.x |
53824b |
$2$ |
$3$ |
\( 2^{6} \cdot 29^{2} \) |
\( - 2^{14} \cdot 29^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$696$ |
$16$ |
$0$ |
$1.247104925$ |
$1$ |
|
$0$ |
$645120$ |
$2.020206$ |
$19600688/24389$ |
$0.87422$ |
$4.29971$ |
$[0, 1, 0, 119983, -17115409]$ |
\(y^2=x^3+x^2+119983x-17115409\) |
3.4.0.a.1, 24.8.0-3.a.1.7, 116.2.0.?, 348.8.0.?, 696.16.0.? |
$[(2839/3, 195112/3)]$ |
56144.e2 |
56144r2 |
56144.e |
56144r |
$2$ |
$3$ |
\( 2^{4} \cdot 11^{2} \cdot 29 \) |
\( - 2^{8} \cdot 11^{6} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3828$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$129600$ |
$1.188934$ |
$19600688/24389$ |
$0.87422$ |
$3.37094$ |
$[0, -1, 0, 4316, -118468]$ |
\(y^2=x^3-x^2+4316x-118468\) |
3.4.0.a.1, 116.2.0.?, 132.8.0.?, 348.8.0.?, 1914.8.0.?, $\ldots$ |
$[ ]$ |
61364.c2 |
61364a2 |
61364.c |
61364a |
$2$ |
$3$ |
\( 2^{2} \cdot 23^{2} \cdot 29 \) |
\( - 2^{8} \cdot 23^{6} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8004$ |
$16$ |
$0$ |
$10.91376469$ |
$1$ |
|
$0$ |
$285120$ |
$1.557734$ |
$19600688/24389$ |
$0.87422$ |
$3.74519$ |
$[0, 1, 0, 18868, 1076084]$ |
\(y^2=x^3+x^2+18868x+1076084\) |
3.4.0.a.1, 69.8.0-3.a.1.1, 116.2.0.?, 348.8.0.?, 8004.16.0.? |
$[(-200093/87, 492565654/87)]$ |
78416.e2 |
78416l2 |
78416.e |
78416l |
$2$ |
$3$ |
\( 2^{4} \cdot 13^{2} \cdot 29 \) |
\( - 2^{8} \cdot 13^{6} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4524$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$196992$ |
$1.272461$ |
$19600688/24389$ |
$0.87422$ |
$3.35994$ |
$[0, -1, 0, 6028, 191164]$ |
\(y^2=x^3-x^2+6028x+191164\) |
3.4.0.a.1, 116.2.0.?, 156.8.0.?, 348.8.0.?, 2262.8.0.?, $\ldots$ |
$[ ]$ |
84100.e2 |
84100c2 |
84100.e |
84100c |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 29^{2} \) |
\( - 2^{8} \cdot 5^{6} \cdot 29^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1740$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$2177280$ |
$2.478352$ |
$19600688/24389$ |
$0.87422$ |
$4.61531$ |
$[0, 1, 0, 749892, -267803212]$ |
\(y^2=x^3+x^2+749892x-267803212\) |
3.4.0.a.1, 60.8.0-3.a.1.3, 116.2.0.?, 348.8.0.?, 435.8.0.?, $\ldots$ |
$[ ]$ |
90944.by2 |
90944eb2 |
90944.by |
90944eb |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \cdot 29 \) |
\( - 2^{14} \cdot 7^{6} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4872$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$221184$ |
$1.309515$ |
$19600688/24389$ |
$0.87422$ |
$3.35527$ |
$[0, -1, 0, 6991, -243599]$ |
\(y^2=x^3-x^2+6991x-243599\) |
3.4.0.a.1, 116.2.0.?, 168.8.0.?, 348.8.0.?, 4872.16.0.? |
$[ ]$ |
90944.dn2 |
90944bn2 |
90944.dn |
90944bn |
$2$ |
$3$ |
\( 2^{6} \cdot 7^{2} \cdot 29 \) |
\( - 2^{14} \cdot 7^{6} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4872$ |
$16$ |
$0$ |
$0.972290718$ |
$1$ |
|
$4$ |
$221184$ |
$1.309515$ |
$19600688/24389$ |
$0.87422$ |
$3.35527$ |
$[0, 1, 0, 6991, 243599]$ |
\(y^2=x^3+x^2+6991x+243599\) |
3.4.0.a.1, 116.2.0.?, 168.8.0.?, 348.8.0.?, 4872.16.0.? |
$[(-25, 232)]$ |
104400.t2 |
104400fc2 |
104400.t |
104400fc |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 29 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1740$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$311040$ |
$1.344011$ |
$19600688/24389$ |
$0.87422$ |
$3.35103$ |
$[0, 0, 0, 8025, -296750]$ |
\(y^2=x^3+8025x-296750\) |
3.4.0.a.1, 60.8.0-3.a.1.2, 116.2.0.?, 348.8.0.?, 870.8.0.?, $\ldots$ |
$[ ]$ |
111476.c2 |
111476d2 |
111476.c |
111476d |
$2$ |
$3$ |
\( 2^{2} \cdot 29 \cdot 31^{2} \) |
\( - 2^{8} \cdot 29^{3} \cdot 31^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$10788$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$719280$ |
$1.706980$ |
$19600688/24389$ |
$0.87422$ |
$3.70691$ |
$[0, -1, 0, 34276, 2607976]$ |
\(y^2=x^3-x^2+34276x+2607976\) |
3.4.0.a.1, 93.8.0.?, 116.2.0.?, 348.8.0.?, 10788.16.0.? |
$[ ]$ |
121104.f2 |
121104cg2 |
121104.f |
121104cg |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 29^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 29^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$348$ |
$16$ |
$0$ |
$9.898423988$ |
$1$ |
|
$0$ |
$2419200$ |
$2.222942$ |
$19600688/24389$ |
$0.87422$ |
$4.20966$ |
$[0, 0, 0, 269961, -57899486]$ |
\(y^2=x^3+269961x-57899486\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 116.2.0.?, 348.16.0.? |
$[(6475642/51, 16803484442/51)]$ |
126324.c2 |
126324k2 |
126324.c |
126324k |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 29 \) |
\( - 2^{8} \cdot 3^{6} \cdot 11^{6} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3828$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$972000$ |
$1.738241$ |
$19600688/24389$ |
$0.87422$ |
$3.69938$ |
$[0, 0, 0, 38841, -3159794]$ |
\(y^2=x^3+38841x-3159794\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 116.2.0.?, 348.8.0.?, 3828.16.0.? |
$[ ]$ |
134096.u2 |
134096p2 |
134096.u |
134096p |
$2$ |
$3$ |
\( 2^{4} \cdot 17^{2} \cdot 29 \) |
\( - 2^{8} \cdot 17^{6} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5916$ |
$16$ |
$0$ |
$2.225148868$ |
$1$ |
|
$0$ |
$442368$ |
$1.406593$ |
$19600688/24389$ |
$0.87422$ |
$3.34359$ |
$[0, 1, 0, 10308, 435416]$ |
\(y^2=x^3+x^2+10308x+435416\) |
3.4.0.a.1, 116.2.0.?, 204.8.0.?, 348.8.0.?, 2958.8.0.?, $\ldots$ |
$[(643/3, 33524/3)]$ |
142100.be2 |
142100bc2 |
142100.be |
142100bc |
$2$ |
$3$ |
\( 2^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 2^{8} \cdot 5^{6} \cdot 7^{6} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12180$ |
$16$ |
$0$ |
$5.664675424$ |
$1$ |
|
$2$ |
$746496$ |
$1.767660$ |
$19600688/24389$ |
$0.87422$ |
$3.69244$ |
$[0, 1, 0, 43692, 3784388]$ |
\(y^2=x^3+x^2+43692x+3784388\) |
3.4.0.a.1, 105.8.0.?, 116.2.0.?, 348.8.0.?, 12180.16.0.? |
$[(4972, 350938)]$ |
158804.e2 |
158804e2 |
158804.e |
158804e |
$2$ |
$3$ |
\( 2^{2} \cdot 29 \cdot 37^{2} \) |
\( - 2^{8} \cdot 29^{3} \cdot 37^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$12876$ |
$16$ |
$0$ |
$1.242903730$ |
$1$ |
|
$4$ |
$1192320$ |
$1.795446$ |
$19600688/24389$ |
$0.87422$ |
$3.68602$ |
$[0, 1, 0, 48828, -4437436]$ |
\(y^2=x^3+x^2+48828x-4437436\) |
3.4.0.a.1, 111.8.0.?, 116.2.0.?, 348.8.0.?, 12876.16.0.? |
$[(160, 2738)]$ |
164836.i2 |
164836i2 |
164836.i |
164836i |
$2$ |
$3$ |
\( 2^{2} \cdot 7^{2} \cdot 29^{2} \) |
\( - 2^{8} \cdot 7^{6} \cdot 29^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2436$ |
$16$ |
$0$ |
$1.590100147$ |
$1$ |
|
$4$ |
$5806080$ |
$2.646591$ |
$19600688/24389$ |
$0.87422$ |
$4.52482$ |
$[0, 1, 0, 1469788, 736027844]$ |
\(y^2=x^3+x^2+1469788x+736027844\) |
3.4.0.a.1, 84.8.0.?, 116.2.0.?, 348.8.0.?, 609.8.0.?, $\ldots$ |
$[(1556, 82418)]$ |
167504.s2 |
167504o2 |
167504.s |
167504o |
$2$ |
$3$ |
\( 2^{4} \cdot 19^{2} \cdot 29 \) |
\( - 2^{8} \cdot 19^{6} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6612$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$663552$ |
$1.462206$ |
$19600688/24389$ |
$0.87422$ |
$3.33723$ |
$[0, 1, 0, 12876, -598792]$ |
\(y^2=x^3+x^2+12876x-598792\) |
3.4.0.a.1, 116.2.0.?, 228.8.0.?, 348.8.0.?, 3306.8.0.?, $\ldots$ |
$[ ]$ |
176436.ba2 |
176436u2 |
176436.ba |
176436u |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 13^{2} \cdot 29 \) |
\( - 2^{8} \cdot 3^{6} \cdot 13^{6} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4524$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1477440$ |
$1.821768$ |
$19600688/24389$ |
$0.87422$ |
$3.68004$ |
$[0, 0, 0, 54249, 5215678]$ |
\(y^2=x^3+54249x+5215678\) |
3.4.0.a.1, 39.8.0-3.a.1.1, 116.2.0.?, 348.8.0.?, 4524.16.0.? |
$[ ]$ |
194996.b2 |
194996b2 |
194996.b |
194996b |
$2$ |
$3$ |
\( 2^{2} \cdot 29 \cdot 41^{2} \) |
\( - 2^{8} \cdot 29^{3} \cdot 41^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14268$ |
$16$ |
$0$ |
$7.372828078$ |
$1$ |
|
$0$ |
$1693440$ |
$1.846773$ |
$19600688/24389$ |
$0.87422$ |
$3.67446$ |
$[0, -1, 0, 59956, -6079928]$ |
\(y^2=x^3-x^2+59956x-6079928\) |
3.4.0.a.1, 116.2.0.?, 123.8.0.?, 348.8.0.?, 14268.16.0.? |
$[(20329/15, 870758/15)]$ |
204624.fn2 |
204624cw2 |
204624.fn |
204624cw |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 29 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{6} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2436$ |
$16$ |
$0$ |
$4.208695261$ |
$1$ |
|
$0$ |
$829440$ |
$1.512247$ |
$19600688/24389$ |
$0.87422$ |
$3.33171$ |
$[0, 0, 0, 15729, 814282]$ |
\(y^2=x^3+15729x+814282\) |
3.4.0.a.1, 84.8.0.?, 116.2.0.?, 348.8.0.?, 1218.8.0.?, $\ldots$ |
$[(1134/5, 159152/5)]$ |
214484.b2 |
214484b2 |
214484.b |
214484b |
$2$ |
$3$ |
\( 2^{2} \cdot 29 \cdot 43^{2} \) |
\( - 2^{8} \cdot 29^{3} \cdot 43^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14964$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1950480$ |
$1.870586$ |
$19600688/24389$ |
$0.87422$ |
$3.66922$ |
$[0, -1, 0, 65948, 6968744]$ |
\(y^2=x^3-x^2+65948x+6968744\) |
3.4.0.a.1, 116.2.0.?, 129.8.0.?, 348.8.0.?, 14964.16.0.? |
$[ ]$ |
224576.j2 |
224576bf2 |
224576.j |
224576bf |
$2$ |
$3$ |
\( 2^{6} \cdot 11^{2} \cdot 29 \) |
\( - 2^{14} \cdot 11^{6} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7656$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1036800$ |
$1.535507$ |
$19600688/24389$ |
$0.87422$ |
$3.32921$ |
$[0, -1, 0, 17263, 930481]$ |
\(y^2=x^3-x^2+17263x+930481\) |
3.4.0.a.1, 116.2.0.?, 264.8.0.?, 348.8.0.?, 7656.16.0.? |
$[ ]$ |
224576.bk2 |
224576u2 |
224576.bk |
224576u |
$2$ |
$3$ |
\( 2^{6} \cdot 11^{2} \cdot 29 \) |
\( - 2^{14} \cdot 11^{6} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7656$ |
$16$ |
$0$ |
$11.10529847$ |
$1$ |
|
$0$ |
$1036800$ |
$1.535507$ |
$19600688/24389$ |
$0.87422$ |
$3.32921$ |
$[0, 1, 0, 17263, -930481]$ |
\(y^2=x^3+x^2+17263x-930481\) |
3.4.0.a.1, 116.2.0.?, 264.8.0.?, 348.8.0.?, 7656.16.0.? |
$[(60601/27, 20511352/27)]$ |
245456.f2 |
245456f2 |
245456.f |
245456f |
$2$ |
$3$ |
\( 2^{4} \cdot 23^{2} \cdot 29 \) |
\( - 2^{8} \cdot 23^{6} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8004$ |
$16$ |
$0$ |
$6.252391688$ |
$1$ |
|
$0$ |
$1140480$ |
$1.557734$ |
$19600688/24389$ |
$0.87422$ |
$3.32685$ |
$[0, -1, 0, 18868, -1076084]$ |
\(y^2=x^3-x^2+18868x-1076084\) |
3.4.0.a.1, 116.2.0.?, 276.8.0.?, 348.8.0.?, 4002.8.0.?, $\ldots$ |
$[(7361/7, 776572/7)]$ |
256244.b2 |
256244b2 |
256244.b |
256244b |
$2$ |
$3$ |
\( 2^{2} \cdot 29 \cdot 47^{2} \) |
\( - 2^{8} \cdot 29^{3} \cdot 47^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$16356$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2533680$ |
$1.915060$ |
$19600688/24389$ |
$0.87422$ |
$3.65966$ |
$[0, 1, 0, 78788, 9154996]$ |
\(y^2=x^3+x^2+78788x+9154996\) |
3.4.0.a.1, 116.2.0.?, 141.8.0.?, 348.8.0.?, 16356.16.0.? |
$[ ]$ |
301716.bb2 |
301716bb2 |
301716.bb |
301716bb |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 17^{2} \cdot 29 \) |
\( - 2^{8} \cdot 3^{6} \cdot 17^{6} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$5916$ |
$16$ |
$0$ |
$10.86178600$ |
$1$ |
|
$0$ |
$3317760$ |
$1.955900$ |
$19600688/24389$ |
$0.87422$ |
$3.65112$ |
$[0, 0, 0, 92769, 11663462]$ |
\(y^2=x^3+92769x+11663462\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 116.2.0.?, 348.8.0.?, 5916.16.0.? |
$[(662303/71, 1829189086/71)]$ |
313664.ba2 |
313664ba2 |
313664.ba |
313664ba |
$2$ |
$3$ |
\( 2^{6} \cdot 13^{2} \cdot 29 \) |
\( - 2^{14} \cdot 13^{6} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9048$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1575936$ |
$1.619036$ |
$19600688/24389$ |
$0.87422$ |
$3.32052$ |
$[0, -1, 0, 24111, -1553423]$ |
\(y^2=x^3-x^2+24111x-1553423\) |
3.4.0.a.1, 116.2.0.?, 312.8.0.?, 348.8.0.?, 9048.16.0.? |
$[ ]$ |