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 |
58.a1 |
58a1 |
58.a |
58a |
$1$ |
$1$ |
\( 2 \cdot 29 \) |
\( - 2^{2} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$116$ |
$2$ |
$0$ |
$0.042420307$ |
$1$ |
|
$12$ |
$4$ |
$-0.902228$ |
$-185193/116$ |
$0.85122$ |
$3.16780$ |
$[1, -1, 0, -1, 1]$ |
\(y^2+xy=x^3-x^2-x+1\) |
116.2.0.? |
$[(0, 1)]$ |
464.f1 |
464g1 |
464.f |
464g |
$1$ |
$1$ |
\( 2^{4} \cdot 29 \) |
\( - 2^{14} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$96$ |
$-0.209081$ |
$-185193/116$ |
$0.85122$ |
$3.44965$ |
$[0, 0, 0, -19, -46]$ |
\(y^2=x^3-19x-46\) |
116.2.0.? |
$[]$ |
522.k1 |
522l1 |
522.k |
522l |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 29 \) |
\( - 2^{2} \cdot 3^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$56$ |
$-0.352922$ |
$-185193/116$ |
$0.85122$ |
$3.10888$ |
$[1, -1, 1, -11, -17]$ |
\(y^2+xy+y=x^3-x^2-11x-17\) |
116.2.0.? |
$[]$ |
1450.i1 |
1450f1 |
1450.i |
1450f |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 29 \) |
\( - 2^{2} \cdot 5^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$432$ |
$-0.097510$ |
$-185193/116$ |
$0.85122$ |
$3.09360$ |
$[1, -1, 1, -30, 97]$ |
\(y^2+xy+y=x^3-x^2-30x+97\) |
116.2.0.? |
$[]$ |
1682.j1 |
1682g1 |
1682.j |
1682g |
$1$ |
$1$ |
\( 2 \cdot 29^{2} \) |
\( - 2^{2} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3360$ |
$0.781420$ |
$-185193/116$ |
$0.85122$ |
$4.45175$ |
$[1, -1, 1, -999, 17779]$ |
\(y^2+xy+y=x^3-x^2-999x+17779\) |
116.2.0.? |
$[]$ |
1856.b1 |
1856o1 |
1856.b |
1856o |
$1$ |
$1$ |
\( 2^{6} \cdot 29 \) |
\( - 2^{20} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$0.729139943$ |
$1$ |
|
$4$ |
$768$ |
$0.137492$ |
$-185193/116$ |
$0.85122$ |
$3.36682$ |
$[0, 0, 0, -76, -368]$ |
\(y^2=x^3-76x-368\) |
116.2.0.? |
$[(18, 64)]$ |
1856.p1 |
1856f1 |
1856.p |
1856f |
$1$ |
$1$ |
\( 2^{6} \cdot 29 \) |
\( - 2^{20} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$768$ |
$0.137492$ |
$-185193/116$ |
$0.85122$ |
$3.36682$ |
$[0, 0, 0, -76, 368]$ |
\(y^2=x^3-76x+368\) |
116.2.0.? |
$[]$ |
2842.d1 |
2842c1 |
2842.d |
2842c |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 29 \) |
\( - 2^{2} \cdot 7^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1440$ |
$0.070727$ |
$-185193/116$ |
$0.85122$ |
$3.08568$ |
$[1, -1, 0, -58, -232]$ |
\(y^2+xy=x^3-x^2-58x-232\) |
116.2.0.? |
$[]$ |
4176.bh1 |
4176bg1 |
4176.bh |
4176bg |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 29 \) |
\( - 2^{14} \cdot 3^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1344$ |
$0.340225$ |
$-185193/116$ |
$0.85122$ |
$3.33114$ |
$[0, 0, 0, -171, 1242]$ |
\(y^2=x^3-171x+1242\) |
116.2.0.? |
$[]$ |
7018.c1 |
7018d1 |
7018.c |
7018d |
$1$ |
$1$ |
\( 2 \cdot 11^{2} \cdot 29 \) |
\( - 2^{2} \cdot 11^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5720$ |
$0.296719$ |
$-185193/116$ |
$0.85122$ |
$3.07693$ |
$[1, -1, 1, -144, -921]$ |
\(y^2+xy+y=x^3-x^2-144x-921\) |
116.2.0.? |
$[]$ |
9802.d1 |
9802e1 |
9802.d |
9802e |
$1$ |
$1$ |
\( 2 \cdot 13^{2} \cdot 29 \) |
\( - 2^{2} \cdot 13^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8976$ |
$0.380246$ |
$-185193/116$ |
$0.85122$ |
$3.07414$ |
$[1, -1, 1, -201, 1629]$ |
\(y^2+xy+y=x^3-x^2-201x+1629\) |
116.2.0.? |
$[]$ |
11600.a1 |
11600w1 |
11600.a |
11600w |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 29 \) |
\( - 2^{14} \cdot 5^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10368$ |
$0.595637$ |
$-185193/116$ |
$0.85122$ |
$3.29499$ |
$[0, 0, 0, -475, -5750]$ |
\(y^2=x^3-475x-5750\) |
116.2.0.? |
$[]$ |
13050.q1 |
13050m1 |
13050.q |
13050m |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 29 \) |
\( - 2^{2} \cdot 3^{6} \cdot 5^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$3.056251611$ |
$1$ |
|
$4$ |
$6048$ |
$0.451797$ |
$-185193/116$ |
$0.85122$ |
$3.07190$ |
$[1, -1, 0, -267, -2359]$ |
\(y^2+xy=x^3-x^2-267x-2359\) |
116.2.0.? |
$[(20, -9)]$ |
13456.a1 |
13456l1 |
13456.a |
13456l |
$1$ |
$1$ |
\( 2^{4} \cdot 29^{2} \) |
\( - 2^{14} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$80640$ |
$1.474567$ |
$-185193/116$ |
$0.85122$ |
$4.35294$ |
$[0, 0, 0, -15979, -1121894]$ |
\(y^2=x^3-15979x-1121894\) |
116.2.0.? |
$[]$ |
15138.m1 |
15138h1 |
15138.m |
15138h |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 29^{2} \) |
\( - 2^{2} \cdot 3^{6} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$47040$ |
$1.330725$ |
$-185193/116$ |
$0.85122$ |
$4.12034$ |
$[1, -1, 0, -8988, -471052]$ |
\(y^2+xy=x^3-x^2-8988x-471052\) |
116.2.0.? |
$[]$ |
16704.g1 |
16704bb1 |
16704.g |
16704bb |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{20} \cdot 3^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10752$ |
$0.686798$ |
$-185193/116$ |
$0.85122$ |
$3.28393$ |
$[0, 0, 0, -684, -9936]$ |
\(y^2=x^3-684x-9936\) |
116.2.0.? |
$[]$ |
16704.n1 |
16704ct1 |
16704.n |
16704ct |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 29 \) |
\( - 2^{20} \cdot 3^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$0.909067158$ |
$1$ |
|
$4$ |
$10752$ |
$0.686798$ |
$-185193/116$ |
$0.85122$ |
$3.28393$ |
$[0, 0, 0, -684, 9936]$ |
\(y^2=x^3-684x+9936\) |
116.2.0.? |
$[(10, 64)]$ |
16762.d1 |
16762d1 |
16762.d |
16762d |
$1$ |
$1$ |
\( 2 \cdot 17^{2} \cdot 29 \) |
\( - 2^{2} \cdot 17^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19712$ |
$0.514379$ |
$-185193/116$ |
$0.85122$ |
$3.07005$ |
$[1, -1, 0, -343, 3617]$ |
\(y^2+xy=x^3-x^2-343x+3617\) |
116.2.0.? |
$[]$ |
20938.i1 |
20938i1 |
20938.i |
20938i |
$1$ |
$1$ |
\( 2 \cdot 19^{2} \cdot 29 \) |
\( - 2^{2} \cdot 19^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24192$ |
$0.569991$ |
$-185193/116$ |
$0.85122$ |
$3.06848$ |
$[1, -1, 1, -429, -4823]$ |
\(y^2+xy+y=x^3-x^2-429x-4823\) |
116.2.0.? |
$[]$ |
22736.c1 |
22736bf1 |
22736.c |
22736bf |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 29 \) |
\( - 2^{14} \cdot 7^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$0.901341304$ |
$1$ |
|
$4$ |
$34560$ |
$0.763874$ |
$-185193/116$ |
$0.85122$ |
$3.27520$ |
$[0, 0, 0, -931, 15778]$ |
\(y^2=x^3-931x+15778\) |
116.2.0.? |
$[(7, 98)]$ |
25578.bd1 |
25578bw1 |
25578.bd |
25578bw |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 29 \) |
\( - 2^{2} \cdot 3^{6} \cdot 7^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1.345242929$ |
$1$ |
|
$2$ |
$20160$ |
$0.620032$ |
$-185193/116$ |
$0.85122$ |
$3.06713$ |
$[1, -1, 1, -524, 6787]$ |
\(y^2+xy+y=x^3-x^2-524x+6787\) |
116.2.0.? |
$[(-19, 107)]$ |
30682.a1 |
30682d1 |
30682.a |
30682d |
$1$ |
$1$ |
\( 2 \cdot 23^{2} \cdot 29 \) |
\( - 2^{2} \cdot 23^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$50688$ |
$0.665519$ |
$-185193/116$ |
$0.85122$ |
$3.06595$ |
$[1, -1, 0, -628, -8588]$ |
\(y^2+xy=x^3-x^2-628x-8588\) |
116.2.0.? |
$[]$ |
42050.a1 |
42050j1 |
42050.a |
42050j |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 29^{2} \) |
\( - 2^{2} \cdot 5^{6} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1.399072671$ |
$1$ |
|
$4$ |
$362880$ |
$1.586138$ |
$-185193/116$ |
$0.85122$ |
$4.01283$ |
$[1, -1, 0, -24967, 2197441]$ |
\(y^2+xy=x^3-x^2-24967x+2197441\) |
116.2.0.? |
$[(80, 801)]$ |
46400.b1 |
46400y1 |
46400.b |
46400y |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 29 \) |
\( - 2^{20} \cdot 5^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$82944$ |
$0.942211$ |
$-185193/116$ |
$0.85122$ |
$3.25693$ |
$[0, 0, 0, -1900, 46000]$ |
\(y^2=x^3-1900x+46000\) |
116.2.0.? |
$[]$ |
46400.cq1 |
46400ch1 |
46400.cq |
46400ch |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 29 \) |
\( - 2^{20} \cdot 5^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$7.374620513$ |
$1$ |
|
$0$ |
$82944$ |
$0.942211$ |
$-185193/116$ |
$0.85122$ |
$3.25693$ |
$[0, 0, 0, -1900, -46000]$ |
\(y^2=x^3-1900x-46000\) |
116.2.0.? |
$[(11866/15, 73664/15)]$ |
53824.d1 |
53824j1 |
53824.d |
53824j |
$1$ |
$1$ |
\( 2^{6} \cdot 29^{2} \) |
\( - 2^{20} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1.159948751$ |
$1$ |
|
$2$ |
$645120$ |
$1.821140$ |
$-185193/116$ |
$0.85122$ |
$4.18077$ |
$[0, 0, 0, -63916, 8975152]$ |
\(y^2=x^3-63916x+8975152\) |
116.2.0.? |
$[(-232, 3364)]$ |
53824.bq1 |
53824be1 |
53824.bq |
53824be |
$1$ |
$1$ |
\( 2^{6} \cdot 29^{2} \) |
\( - 2^{20} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$645120$ |
$1.821140$ |
$-185193/116$ |
$0.85122$ |
$4.18077$ |
$[0, 0, 0, -63916, -8975152]$ |
\(y^2=x^3-63916x-8975152\) |
116.2.0.? |
$[]$ |
55738.k1 |
55738l1 |
55738.k |
55738l |
$1$ |
$1$ |
\( 2 \cdot 29 \cdot 31^{2} \) |
\( - 2^{2} \cdot 29 \cdot 31^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$7.024124118$ |
$1$ |
|
$0$ |
$121800$ |
$0.814765$ |
$-185193/116$ |
$0.85122$ |
$3.06235$ |
$[1, -1, 0, -1141, -21127]$ |
\(y^2+xy=x^3-x^2-1141x-21127\) |
116.2.0.? |
$[(1402/3, 48863/3)]$ |
56144.u1 |
56144w1 |
56144.u |
56144w |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 29 \) |
\( - 2^{14} \cdot 11^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$137280$ |
$0.989866$ |
$-185193/116$ |
$0.85122$ |
$3.25246$ |
$[0, 0, 0, -2299, 61226]$ |
\(y^2=x^3-2299x+61226\) |
116.2.0.? |
$[]$ |
63162.bc1 |
63162x1 |
63162.bc |
63162x |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 29 \) |
\( - 2^{2} \cdot 3^{6} \cdot 11^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$3.331898976$ |
$1$ |
|
$2$ |
$80080$ |
$0.846025$ |
$-185193/116$ |
$0.85122$ |
$3.06164$ |
$[1, -1, 0, -1293, 26153]$ |
\(y^2+xy=x^3-x^2-1293x+26153\) |
116.2.0.? |
$[(26, 85)]$ |
71050.bj1 |
71050bw1 |
71050.bj |
71050bw |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 2^{2} \cdot 5^{6} \cdot 7^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$4.067686526$ |
$1$ |
|
$2$ |
$155520$ |
$0.875445$ |
$-185193/116$ |
$0.85122$ |
$3.06099$ |
$[1, -1, 1, -1455, -30453]$ |
\(y^2+xy+y=x^3-x^2-1455x-30453\) |
116.2.0.? |
$[(555, 12756)]$ |
78416.w1 |
78416p1 |
78416.w |
78416p |
$1$ |
$1$ |
\( 2^{4} \cdot 13^{2} \cdot 29 \) |
\( - 2^{14} \cdot 13^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$215424$ |
$1.073393$ |
$-185193/116$ |
$0.85122$ |
$3.24497$ |
$[0, 0, 0, -3211, -101062]$ |
\(y^2=x^3-3211x-101062\) |
116.2.0.? |
$[]$ |
79402.f1 |
79402i1 |
79402.f |
79402i |
$1$ |
$1$ |
\( 2 \cdot 29 \cdot 37^{2} \) |
\( - 2^{2} \cdot 29 \cdot 37^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1.986674614$ |
$1$ |
|
$0$ |
$198720$ |
$0.903231$ |
$-185193/116$ |
$0.85122$ |
$3.06039$ |
$[1, -1, 1, -1626, 36813]$ |
\(y^2+xy+y=x^3-x^2-1626x+36813\) |
116.2.0.? |
$[(223/2, 2511/2)]$ |
82418.k1 |
82418s1 |
82418.k |
82418s |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 29^{2} \) |
\( - 2^{2} \cdot 7^{6} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$5.496446912$ |
$1$ |
|
$2$ |
$1209600$ |
$1.754374$ |
$-185193/116$ |
$0.85122$ |
$3.95262$ |
$[1, -1, 1, -48936, -6000417]$ |
\(y^2+xy+y=x^3-x^2-48936x-6000417\) |
116.2.0.? |
$[(2277, 106955)]$ |
88218.f1 |
88218bd1 |
88218.f |
88218bd |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 13^{2} \cdot 29 \) |
\( - 2^{2} \cdot 3^{6} \cdot 13^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$6.405725892$ |
$1$ |
|
$2$ |
$125664$ |
$0.929552$ |
$-185193/116$ |
$0.85122$ |
$3.05983$ |
$[1, -1, 0, -1806, -42184]$ |
\(y^2+xy=x^3-x^2-1806x-42184\) |
116.2.0.? |
$[(830, 23454)]$ |
90944.a1 |
90944cm1 |
90944.a |
90944cm |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 29 \) |
\( - 2^{20} \cdot 7^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$2.168094957$ |
$1$ |
|
$2$ |
$276480$ |
$1.110447$ |
$-185193/116$ |
$0.85122$ |
$3.24179$ |
$[0, 0, 0, -3724, -126224]$ |
\(y^2=x^3-3724x-126224\) |
116.2.0.? |
$[(84, 392)]$ |
90944.ek1 |
90944en1 |
90944.ek |
90944en |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 29 \) |
\( - 2^{20} \cdot 7^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$1.110447$ |
$-185193/116$ |
$0.85122$ |
$3.24179$ |
$[0, 0, 0, -3724, 126224]$ |
\(y^2=x^3-3724x+126224\) |
116.2.0.? |
$[]$ |
97498.f1 |
97498d1 |
97498.f |
97498d |
$1$ |
$1$ |
\( 2 \cdot 29 \cdot 41^{2} \) |
\( - 2^{2} \cdot 29 \cdot 41^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$281600$ |
$0.954557$ |
$-185193/116$ |
$0.85122$ |
$3.05931$ |
$[1, -1, 0, -1996, 50036]$ |
\(y^2+xy=x^3-x^2-1996x+50036\) |
116.2.0.? |
$[]$ |
104400.bv1 |
104400eq1 |
104400.bv |
104400eq |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 29 \) |
\( - 2^{14} \cdot 3^{6} \cdot 5^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$145152$ |
$1.144943$ |
$-185193/116$ |
$0.85122$ |
$3.23890$ |
$[0, 0, 0, -4275, 155250]$ |
\(y^2=x^3-4275x+155250\) |
116.2.0.? |
$[]$ |
107242.b1 |
107242b1 |
107242.b |
107242b |
$1$ |
$1$ |
\( 2 \cdot 29 \cdot 43^{2} \) |
\( - 2^{2} \cdot 29 \cdot 43^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$317016$ |
$0.978372$ |
$-185193/116$ |
$0.85122$ |
$3.05882$ |
$[1, -1, 1, -2196, -56597]$ |
\(y^2+xy+y=x^3-x^2-2196x-56597\) |
116.2.0.? |
$[]$ |
121104.ct1 |
121104cd1 |
121104.ct |
121104cd |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 29^{2} \) |
\( - 2^{14} \cdot 3^{6} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$4.377414342$ |
$1$ |
|
$0$ |
$1128960$ |
$2.023872$ |
$-185193/116$ |
$0.85122$ |
$4.09896$ |
$[0, 0, 0, -143811, 30291138]$ |
\(y^2=x^3-143811x+30291138\) |
116.2.0.? |
$[(7279/5, 452458/5)]$ |
128122.a1 |
128122e1 |
128122.a |
128122e |
$1$ |
$1$ |
\( 2 \cdot 29 \cdot 47^{2} \) |
\( - 2^{2} \cdot 29 \cdot 47^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$4.504233324$ |
$1$ |
|
$2$ |
$401672$ |
$1.022846$ |
$-185193/116$ |
$0.85122$ |
$3.05793$ |
$[1, -1, 0, -2623, -73967]$ |
\(y^2+xy=x^3-x^2-2623x-73967\) |
116.2.0.? |
$[(96, 695)]$ |
134096.c1 |
134096c1 |
134096.c |
134096c |
$1$ |
$1$ |
\( 2^{4} \cdot 17^{2} \cdot 29 \) |
\( - 2^{14} \cdot 17^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$4.980914882$ |
$1$ |
|
$0$ |
$473088$ |
$1.207525$ |
$-185193/116$ |
$0.85122$ |
$3.23384$ |
$[0, 0, 0, -5491, -225998]$ |
\(y^2=x^3-5491x-225998\) |
116.2.0.? |
$[(3791/5, 194786/5)]$ |
150858.v1 |
150858c1 |
150858.v |
150858c |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 17^{2} \cdot 29 \) |
\( - 2^{2} \cdot 3^{6} \cdot 17^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$7.258962631$ |
$1$ |
|
$0$ |
$275968$ |
$1.063684$ |
$-185193/116$ |
$0.85122$ |
$3.05714$ |
$[1, -1, 1, -3089, -94571]$ |
\(y^2+xy+y=x^3-x^2-3089x-94571\) |
116.2.0.? |
$[(28343/13, 4254290/13)]$ |
162922.g1 |
162922d1 |
162922.g |
162922d |
$1$ |
$1$ |
\( 2 \cdot 29 \cdot 53^{2} \) |
\( - 2^{2} \cdot 29 \cdot 53^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$606320$ |
$1.082918$ |
$-185193/116$ |
$0.85122$ |
$3.05677$ |
$[1, -1, 1, -3336, 107839]$ |
\(y^2+xy+y=x^3-x^2-3336x+107839\) |
116.2.0.? |
$[]$ |
167504.a1 |
167504a1 |
167504.a |
167504a |
$1$ |
$1$ |
\( 2^{4} \cdot 19^{2} \cdot 29 \) |
\( - 2^{14} \cdot 19^{6} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1.355288568$ |
$1$ |
|
$12$ |
$580608$ |
$1.263138$ |
$-185193/116$ |
$0.85122$ |
$3.22951$ |
$[0, 0, 0, -6859, 315514]$ |
\(y^2=x^3-6859x+315514\) |
116.2.0.? |
$[(95, 722), (-57, 722)]$ |
175450.bm1 |
175450cz1 |
175450.bm |
175450cz |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 29 \) |
\( - 2^{2} \cdot 5^{6} \cdot 11^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$17.86523787$ |
$1$ |
|
$0$ |
$617760$ |
$1.101439$ |
$-185193/116$ |
$0.85122$ |
$3.05642$ |
$[1, -1, 0, -3592, -118684]$ |
\(y^2+xy=x^3-x^2-3592x-118684\) |
116.2.0.? |
$[(55658656/825, 179045773846/825)]$ |
188442.y1 |
188442bo1 |
188442.y |
188442bo |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 29 \) |
\( - 2^{2} \cdot 3^{6} \cdot 19^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1.106495293$ |
$1$ |
|
$4$ |
$338688$ |
$1.119297$ |
$-185193/116$ |
$0.85122$ |
$3.05609$ |
$[1, -1, 0, -3858, 134072]$ |
\(y^2+xy=x^3-x^2-3858x+134072\) |
116.2.0.? |
$[(62, 330)]$ |
201898.g1 |
201898a1 |
201898.g |
201898a |
$1$ |
$1$ |
\( 2 \cdot 29 \cdot 59^{2} \) |
\( - 2^{2} \cdot 29 \cdot 59^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1.588781970$ |
$1$ |
|
$2$ |
$831488$ |
$1.136539$ |
$-185193/116$ |
$0.85122$ |
$3.05578$ |
$[1, -1, 1, -4134, -146583]$ |
\(y^2+xy+y=x^3-x^2-4134x-146583\) |
116.2.0.? |
$[(369, 6777)]$ |
203522.i1 |
203522r1 |
203522.i |
203522r |
$1$ |
$1$ |
\( 2 \cdot 11^{2} \cdot 29^{2} \) |
\( - 2^{2} \cdot 11^{6} \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4804800$ |
$1.980368$ |
$-185193/116$ |
$0.85122$ |
$3.88217$ |
$[1, -1, 0, -120841, -23301679]$ |
\(y^2+xy=x^3-x^2-120841x-23301679\) |
116.2.0.? |
$[]$ |