| 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 |
| 159201.a1 |
159201a1 |
159201.a |
159201a |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{8} \cdot 7^{6} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2695680$ |
$2.157932$ |
$-1404928/171$ |
$0.86512$ |
$4.19774$ |
$[0, 0, 1, -371469, -95869958]$ |
\(y^2+y=x^3-371469x-95869958\) |
38.2.0.a.1 |
$[]$ |
| 159201.b1 |
159201b1 |
159201.b |
159201b |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{6} \cdot 7^{8} \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12257280$ |
$2.827785$ |
$-28672$ |
$0.74333$ |
$4.92415$ |
$[0, 0, 1, -7057911, -7431392124]$ |
\(y^2+y=x^3-7057911x-7431392124\) |
38.2.0.a.1 |
$[]$ |
| 159201.c1 |
159201d1 |
159201.c |
159201d |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{15} \cdot 7^{4} \cdot 19^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.197356602$ |
$1$ |
|
$12$ |
$10933056$ |
$2.958073$ |
$-59584000000/19683$ |
$1.10928$ |
$5.23814$ |
$[0, 0, 1, -25206825, 48724708702]$ |
\(y^2+y=x^3-25206825x+48724708702\) |
6.2.0.a.1 |
$[(2527, 34114), (70756/5, 921029/5)]$ |
| 159201.d1 |
159201c1 |
159201.d |
159201c |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{15} \cdot 7^{10} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$149.4230963$ |
$1$ |
|
$0$ |
$76531392$ |
$3.931026$ |
$-59584000000/19683$ |
$1.10928$ |
$6.21289$ |
$[0, 0, 1, -1235134425, -16712575084872]$ |
\(y^2+y=x^3-1235134425x-16712575084872\) |
6.2.0.a.1 |
$[(71701564782479528408010004087168550133709590321616242725242140876/569187617314375960093170771757, 18941022124277177445594289370237958037971913611466189951376255091913174490162095853283279862705164/569187617314375960093170771757)]$ |
| 159201.e1 |
159201e2 |
159201.e |
159201e |
$2$ |
$5$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{8} \cdot 7^{6} \cdot 19^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$3990$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$57024000$ |
$3.645889$ |
$-9358714467168256/22284891$ |
$1.06833$ |
$6.07024$ |
$[0, 0, 1, -698945457, 7112363371524]$ |
\(y^2+y=x^3-698945457x+7112363371524\) |
5.12.0.a.2, 38.2.0.a.1, 190.24.1.?, 210.24.0.?, 1995.24.0.?, $\ldots$ |
$[]$ |
| 159201.e2 |
159201e1 |
159201.e |
159201e |
$2$ |
$5$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{16} \cdot 7^{6} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$3990$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$11404800$ |
$2.841167$ |
$841232384/1121931$ |
$1.00490$ |
$4.73789$ |
$[0, 0, 1, 3130953, 2435567454]$ |
\(y^2+y=x^3+3130953x+2435567454\) |
5.12.0.a.1, 38.2.0.a.1, 190.24.1.?, 210.24.0.?, 1995.24.0.?, $\ldots$ |
$[]$ |
| 159201.f1 |
159201f1 |
159201.f |
159201f |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{6} \cdot 7^{2} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$38$ |
$2$ |
$0$ |
$2.176645797$ |
$1$ |
|
$2$ |
$1751040$ |
$1.854828$ |
$-28672$ |
$0.74333$ |
$3.94940$ |
$[0, 0, 1, -144039, 21665866]$ |
\(y^2+y=x^3-144039x+21665866\) |
38.2.0.a.1 |
$[(722, 17147)]$ |
| 159201.g1 |
159201g2 |
159201.g |
159201g |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{12} \cdot 7^{7} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$6.248174716$ |
$1$ |
|
$2$ |
$35020800$ |
$3.369301$ |
$6018636259/5103$ |
$0.93926$ |
$5.61744$ |
$[1, -1, 1, -114628037, -471997446280]$ |
\(y^2+xy+y=x^3-x^2-114628037x-471997446280\) |
2.3.0.a.1, 84.6.0.?, 228.6.0.?, 266.6.0.?, 1596.12.0.? |
$[(122289, 42533245)]$ |
| 159201.g2 |
159201g1 |
159201.g |
159201g |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{9} \cdot 7^{8} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$3.124087358$ |
$1$ |
|
$3$ |
$17510400$ |
$3.022728$ |
$2685619/1323$ |
$0.89213$ |
$4.97336$ |
$[1, -1, 1, -8759372, -3846209650]$ |
\(y^2+xy+y=x^3-x^2-8759372x-3846209650\) |
2.3.0.a.1, 84.6.0.?, 114.6.0.?, 532.6.0.?, 1596.12.0.? |
$[(-516, 23410)]$ |
| 159201.h1 |
159201n1 |
159201.h |
159201n |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{3} \cdot 7^{7} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$84$ |
$2$ |
$0$ |
$0.303435535$ |
$1$ |
|
$6$ |
$96768$ |
$0.605374$ |
$-13851/7$ |
$0.67892$ |
$2.59010$ |
$[1, -1, 1, -524, 6444]$ |
\(y^2+xy+y=x^3-x^2-524x+6444\) |
84.2.0.? |
$[(2, 72)]$ |
| 159201.i1 |
159201h5 |
159201.i |
159201h |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{7} \cdot 7^{8} \cdot 19^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$6384$ |
$192$ |
$1$ |
$7.807515919$ |
$1$ |
|
$10$ |
$10616832$ |
$3.068687$ |
$53297461115137/147$ |
$1.05087$ |
$5.63876$ |
$[1, -1, 1, -124816901, 536764088522]$ |
\(y^2+xy+y=x^3-x^2-124816901x+536764088522\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$ |
$[(6414, 1864), (6450, -3284)]$ |
| 159201.i2 |
159201h3 |
159201.i |
159201h |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{8} \cdot 7^{10} \cdot 19^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$3192$ |
$192$ |
$1$ |
$7.807515919$ |
$1$ |
|
$18$ |
$5308416$ |
$2.722111$ |
$13027640977/21609$ |
$1.08149$ |
$4.94444$ |
$[1, -1, 1, -7804166, 8381382356]$ |
\(y^2+xy+y=x^3-x^2-7804166x+8381382356\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
$[(1392, 13924), (2263, 46888)]$ |
| 159201.i3 |
159201h4 |
159201.i |
159201h |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{14} \cdot 7^{7} \cdot 19^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$6384$ |
$192$ |
$1$ |
$7.807515919$ |
$1$ |
|
$8$ |
$5308416$ |
$2.722111$ |
$6570725617/45927$ |
$1.00160$ |
$4.88730$ |
$[1, -1, 1, -6212156, -5921872288]$ |
\(y^2+xy+y=x^3-x^2-6212156x-5921872288\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[(-1515, 4006), (-1347, -56)]$ |
| 159201.i4 |
159201h6 |
159201.i |
159201h |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{7} \cdot 7^{14} \cdot 19^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$6384$ |
$192$ |
$1$ |
$7.807515919$ |
$1$ |
|
$10$ |
$10616832$ |
$3.068687$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.02511$ |
$[1, -1, 1, -5416151, 13605403970]$ |
\(y^2+xy+y=x^3-x^2-5416151x+13605403970\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(-2826, 81013), (898, 96840)]$ |
| 159201.i5 |
159201h2 |
159201.i |
159201h |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{10} \cdot 7^{8} \cdot 19^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$3192$ |
$192$ |
$1$ |
$7.807515919$ |
$1$ |
|
$18$ |
$2654208$ |
$2.375538$ |
$7189057/3969$ |
$1.14862$ |
$4.31810$ |
$[1, -1, 1, -640121, 42433976]$ |
\(y^2+xy+y=x^3-x^2-640121x+42433976\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[(-318, 14779), (-102, 10378)]$ |
| 159201.i6 |
159201h1 |
159201.i |
159201h |
$6$ |
$8$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{8} \cdot 7^{7} \cdot 19^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$6384$ |
$192$ |
$1$ |
$7.807515919$ |
$1$ |
|
$11$ |
$1327104$ |
$2.028965$ |
$103823/63$ |
$0.97868$ |
$3.96431$ |
$[1, -1, 1, 155884, 5180942]$ |
\(y^2+xy+y=x^3-x^2+155884x+5180942\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
$[(219, 6946), (328, 9402)]$ |
| 159201.j1 |
159201o2 |
159201.j |
159201o |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{9} \cdot 7^{8} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$14008320$ |
$3.196327$ |
$15438249/49$ |
$0.87469$ |
$5.39453$ |
$[1, -1, 1, -47073746, 123983313472]$ |
\(y^2+xy+y=x^3-x^2-47073746x+123983313472\) |
2.3.0.a.1, 28.6.0.d.1, 114.6.0.?, 1596.12.0.? |
$[]$ |
| 159201.j2 |
159201o1 |
159201.j |
159201o |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{9} \cdot 7^{7} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$7004160$ |
$2.849751$ |
$-729/7$ |
$0.74333$ |
$4.80234$ |
$[1, -1, 1, -1701461, 3583417996]$ |
\(y^2+xy+y=x^3-x^2-1701461x+3583417996\) |
2.3.0.a.1, 28.6.0.d.1, 228.6.0.?, 798.6.0.?, 1596.12.0.? |
$[]$ |
| 159201.k1 |
159201i2 |
159201.k |
159201i |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{8} \cdot 7^{9} \cdot 19^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$8.261610144$ |
$1$ |
|
$14$ |
$10321920$ |
$2.852196$ |
$7880599/3249$ |
$0.86684$ |
$4.81314$ |
$[1, -1, 1, -4620146, -2048653470]$ |
\(y^2+xy+y=x^3-x^2-4620146x-2048653470\) |
2.3.0.a.1, 28.6.0.a.1, 228.6.0.?, 1596.12.0.? |
$[(-736, 31233), (19841, 2767974)]$ |
| 159201.k2 |
159201i1 |
159201.k |
159201i |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{7} \cdot 7^{9} \cdot 19^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$8.261610144$ |
$1$ |
|
$11$ |
$5160960$ |
$2.505623$ |
$68921/57$ |
$0.78914$ |
$4.41748$ |
$[1, -1, 1, 951889, -234398874]$ |
\(y^2+xy+y=x^3-x^2+951889x-234398874\) |
2.3.0.a.1, 28.6.0.b.1, 228.6.0.?, 798.6.0.?, 1596.12.0.? |
$[(290, 7977), (576, 22178)]$ |
| 159201.l1 |
159201p1 |
159201.l |
159201p |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{3} \cdot 7^{8} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$3.957760703$ |
$1$ |
|
$3$ |
$2211840$ |
$2.199791$ |
$766060875/931$ |
$0.86309$ |
$4.43271$ |
$[1, -1, 1, -1011590, -390946524]$ |
\(y^2+xy+y=x^3-x^2-1011590x-390946524\) |
2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[(37872, 7348532)]$ |
| 159201.l2 |
159201p2 |
159201.l |
159201p |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{3} \cdot 7^{10} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$7.915521406$ |
$1$ |
|
$0$ |
$4423680$ |
$2.546364$ |
$-307546875/866761$ |
$1.04147$ |
$4.50428$ |
$[1, -1, 1, -746255, -600985710]$ |
\(y^2+xy+y=x^3-x^2-746255x-600985710\) |
2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.? |
$[(59525/7, 5572545/7)]$ |
| 159201.m1 |
159201j2 |
159201.m |
159201j |
$2$ |
$7$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{13} \cdot 7^{6} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$798$ |
$96$ |
$2$ |
$26.52794699$ |
$1$ |
|
$0$ |
$14478912$ |
$3.235733$ |
$-89289015625/2187$ |
$1.08884$ |
$5.59678$ |
$[1, -1, 1, -105553580, -417387364054]$ |
\(y^2+xy+y=x^3-x^2-105553580x-417387364054\) |
6.2.0.a.1, 7.8.0.a.1, 14.16.0-7.a.1.2, 21.16.0-7.a.1.2, 42.32.0-42.a.1.3, $\ldots$ |
$[(33799322067342/53021, 32890975393459683167/53021)]$ |
| 159201.m2 |
159201j1 |
159201.m |
159201j |
$2$ |
$7$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{7} \cdot 7^{6} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$798$ |
$96$ |
$2$ |
$3.789706713$ |
$1$ |
|
$2$ |
$2068416$ |
$2.262779$ |
$2375/3$ |
$0.82914$ |
$4.15458$ |
$[1, -1, 1, 315085, 73955774]$ |
\(y^2+xy+y=x^3-x^2+315085x+73955774\) |
6.2.0.a.1, 7.8.0.a.1, 14.16.0-7.a.1.1, 21.16.0-7.a.1.1, 42.32.0-42.a.1.1, $\ldots$ |
$[(6408, 511762)]$ |
| 159201.n1 |
159201k2 |
159201.n |
159201k |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{12} \cdot 7^{7} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6635520$ |
$2.920849$ |
$12246522625/1842183$ |
$0.89725$ |
$4.93928$ |
$[1, -1, 1, -7644965, -6997257354]$ |
\(y^2+xy+y=x^3-x^2-7644965x-6997257354\) |
2.3.0.a.1, 28.6.0.a.1, 228.6.0.?, 1596.12.0.? |
$[]$ |
| 159201.n2 |
159201k1 |
159201.n |
159201k |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{9} \cdot 7^{8} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3317760$ |
$2.574276$ |
$244140625/25137$ |
$1.08196$ |
$4.61240$ |
$[1, -1, 1, -2072930, 1042074744]$ |
\(y^2+xy+y=x^3-x^2-2072930x+1042074744\) |
2.3.0.a.1, 28.6.0.b.1, 114.6.0.?, 1596.12.0.? |
$[]$ |
| 159201.o1 |
159201q2 |
159201.o |
159201q |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{3} \cdot 7^{8} \cdot 19^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$2.575204957$ |
$1$ |
|
$12$ |
$245760$ |
$1.174801$ |
$15438249/49$ |
$0.87469$ |
$3.36928$ |
$[1, -1, 1, -14489, 673040]$ |
\(y^2+xy+y=x^3-x^2-14489x+673040\) |
2.3.0.a.1, 28.6.0.d.1, 114.6.0.?, 1596.12.0.? |
$[(30, 499), (373, 6673)]$ |
| 159201.o2 |
159201q1 |
159201.o |
159201q |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{3} \cdot 7^{7} \cdot 19^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$2.575204957$ |
$1$ |
|
$9$ |
$122880$ |
$0.828227$ |
$-729/7$ |
$0.74333$ |
$2.77709$ |
$[1, -1, 1, -524, 19478]$ |
\(y^2+xy+y=x^3-x^2-524x+19478\) |
2.3.0.a.1, 28.6.0.d.1, 228.6.0.?, 798.6.0.?, 1596.12.0.? |
$[(-26, 135), (24, 130)]$ |
| 159201.p1 |
159201l2 |
159201.p |
159201l |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{8} \cdot 7^{3} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1474560$ |
$1.879240$ |
$7880599/3249$ |
$0.86684$ |
$3.83839$ |
$[1, -1, 1, -94289, 5999690]$ |
\(y^2+xy+y=x^3-x^2-94289x+5999690\) |
2.3.0.a.1, 28.6.0.a.1, 228.6.0.?, 1596.12.0.? |
$[]$ |
| 159201.p2 |
159201l1 |
159201.p |
159201l |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{7} \cdot 7^{3} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$737280$ |
$1.532667$ |
$68921/57$ |
$0.78914$ |
$3.44273$ |
$[1, -1, 1, 19426, 677828]$ |
\(y^2+xy+y=x^3-x^2+19426x+677828\) |
2.3.0.a.1, 28.6.0.b.1, 228.6.0.?, 798.6.0.?, 1596.12.0.? |
$[]$ |
| 159201.q1 |
159201r1 |
159201.q |
159201r |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{9} \cdot 7^{7} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$84$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5515776$ |
$2.626900$ |
$-13851/7$ |
$0.67892$ |
$4.61535$ |
$[1, -1, 1, -1701461, 1169612434]$ |
\(y^2+xy+y=x^3-x^2-1701461x+1169612434\) |
84.2.0.? |
$[]$ |
| 159201.r1 |
159201m2 |
159201.r |
159201m |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{8} \cdot 7^{7} \cdot 19^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$46448640$ |
$3.520523$ |
$11192824869409/2963890503$ |
$0.95644$ |
$5.50847$ |
$[1, -1, 1, -74190983, -181133398456]$ |
\(y^2+xy+y=x^3-x^2-74190983x-181133398456\) |
2.3.0.a.1, 28.6.0.a.1, 228.6.0.?, 1596.12.0.? |
$[]$ |
| 159201.r2 |
159201m1 |
159201.r |
159201m |
$2$ |
$2$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{7} \cdot 7^{8} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$23224320$ |
$3.173946$ |
$8855610342769/1008273$ |
$0.94565$ |
$5.48892$ |
$[1, -1, 1, -68618948, -218744634706]$ |
\(y^2+xy+y=x^3-x^2-68618948x-218744634706\) |
2.3.0.a.1, 28.6.0.b.1, 114.6.0.?, 1596.12.0.? |
$[]$ |
| 159201.s1 |
159201s1 |
159201.s |
159201s |
$1$ |
$1$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{10} \cdot 7^{8} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$8.872638764$ |
$1$ |
|
$0$ |
$4838400$ |
$2.628143$ |
$-1835008/1539$ |
$0.91010$ |
$4.60380$ |
$[0, 0, 1, -1485876, -1091035409]$ |
\(y^2+y=x^3-1485876x-1091035409\) |
38.2.0.a.1 |
$[(220039/9, 89042993/9)]$ |
| 159201.t1 |
159201t2 |
159201.t |
159201t |
$2$ |
$19$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{6} \cdot 7^{6} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-19})$ |
$-19$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$26.73760462$ |
$1$ |
|
$0$ |
$4012800$ |
$2.644333$ |
$-884736$ |
$1.31757$ |
$4.88082$ |
$[0, 0, 1, -6049638, -5732788210]$ |
\(y^2+y=x^3-6049638x-5732788210\) |
|
$[(90880387533294/87209, 846333021155455519817/87209)]$ |
| 159201.t2 |
159201t1 |
159201.t |
159201t |
$2$ |
$19$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{6} \cdot 7^{6} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-19})$ |
$-19$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.407242348$ |
$1$ |
|
$2$ |
$211200$ |
$1.172113$ |
$-884736$ |
$1.31757$ |
$3.40589$ |
$[0, 0, 1, -16758, 835805]$ |
\(y^2+y=x^3-16758x+835805\) |
|
$[(57, 256)]$ |
| 159201.u1 |
159201w2 |
159201.u |
159201w |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{9} \cdot 7^{10} \cdot 19^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$7$ |
7.84.1.1 |
7Ns.6.1.2 |
|
|
|
$23.60746286$ |
$1$ |
|
$0$ |
$3184272$ |
$2.596653$ |
$0$ |
|
$4.54736$ |
$[0, 0, 1, 0, -778134688]$ |
\(y^2+y=x^3-778134688\) |
|
$[(81692379966/4337, 23238022591647896/4337)]$ |
| 159201.u2 |
159201w1 |
159201.u |
159201w |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{3} \cdot 7^{10} \cdot 19^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$7$ |
7.84.1.1 |
7Ns.6.1.2 |
|
|
|
$7.869154286$ |
$1$ |
|
$2$ |
$1061424$ |
$2.047348$ |
$0$ |
|
$3.99704$ |
$[0, 0, 1, 0, 28819803]$ |
\(y^2+y=x^3+28819803\) |
|
$[(4337, 285667)]$ |
| 159201.v1 |
159201bb1 |
159201.v |
159201bb |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{3} \cdot 7^{4} \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.774171858$ |
$1$ |
|
$8$ |
$23328$ |
$0.092912$ |
$0$ |
|
$2.03901$ |
$[0, 0, 1, 0, -233]$ |
\(y^2+y=x^3-233\) |
|
$[(7, 10), (77, 675)]$ |
| 159201.v2 |
159201bb2 |
159201.v |
159201bb |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{9} \cdot 7^{4} \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.774171858$ |
$1$ |
|
$6$ |
$69984$ |
$0.642219$ |
$0$ |
|
$2.58933$ |
$[0, 0, 1, 0, 6284]$ |
\(y^2+y=x^3+6284\) |
|
$[(42, 283), (-12, 67)]$ |
| 159201.w1 |
159201x1 |
159201.w |
159201x |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{3} \cdot 7^{10} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$4$ |
$2$ |
$0$ |
$3102624$ |
$2.538086$ |
$0$ |
|
$4.48869$ |
$[0, 0, 1, 0, -547576262]$ |
\(y^2+y=x^3-547576262\) |
|
$[]$ |
| 159201.w2 |
159201x2 |
159201.w |
159201x |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{9} \cdot 7^{10} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$4$ |
$2$ |
$0$ |
$9307872$ |
$3.087395$ |
$0$ |
|
$5.03901$ |
$[0, 0, 1, 0, 14784559067]$ |
\(y^2+y=x^3+14784559067\) |
|
$[]$ |
| 159201.x1 |
159201y1 |
159201.x |
159201y |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{3} \cdot 7^{10} \cdot 19^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$353808$ |
$1.556606$ |
$0$ |
|
$3.50540$ |
$[0, 0, 1, 0, -1516832]$ |
\(y^2+y=x^3-1516832\) |
|
$[]$ |
| 159201.x2 |
159201y2 |
159201.x |
159201y |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{9} \cdot 7^{10} \cdot 19^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$1061424$ |
$2.105915$ |
$0$ |
|
$4.05572$ |
$[0, 0, 1, 0, 40954457]$ |
\(y^2+y=x^3+40954457\) |
|
$[]$ |
| 159201.y1 |
159201bc1 |
159201.y |
159201bc |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{3} \cdot 7^{4} \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$960336$ |
$2.055870$ |
$0$ |
|
$4.00558$ |
$[0, 0, 1, 0, -30332213]$ |
\(y^2+y=x^3-30332213\) |
|
$[]$ |
| 159201.y2 |
159201bc2 |
159201.y |
159201bc |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{9} \cdot 7^{4} \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$2881008$ |
$2.605179$ |
$0$ |
|
$4.55590$ |
$[0, 0, 1, 0, 818969744]$ |
\(y^2+y=x^3+818969744\) |
|
$[]$ |
| 159201.z1 |
159201bd2 |
159201.z |
159201bd |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{9} \cdot 7^{4} \cdot 19^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$3$ |
27.648.18.4 |
3B.1.2 |
|
|
|
$0.917029831$ |
$1$ |
|
$4$ |
$151632$ |
$1.132957$ |
$0$ |
|
$3.08097$ |
$[0, 0, 1, 0, -119401]$ |
\(y^2+y=x^3-119401\) |
|
$[(57, 256)]$ |
| 159201.z2 |
159201bd1 |
159201.z |
159201bd |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{3} \cdot 7^{4} \cdot 19^{4} \) |
$1$ |
$\Z/3\Z$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$3$ |
27.648.18.1 |
3B.1.1 |
|
|
|
$2.751089495$ |
$1$ |
|
$4$ |
$50544$ |
$0.583652$ |
$0$ |
|
$2.53065$ |
$[0, 0, 1, 0, 4422]$ |
\(y^2+y=x^3+4422\) |
|
$[(-10, 58)]$ |
| 159201.ba1 |
159201z2 |
159201.ba |
159201z |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{9} \cdot 7^{10} \cdot 19^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$103.6818065$ |
$1$ |
|
$0$ |
$20167056$ |
$3.578133$ |
$0$ |
|
$5.53065$ |
$[0, 0, 1, 0, -280906622278]$ |
\(y^2+y=x^3-280906622278\) |
|
$[(4174748501860549789473312253733282626798365834/552738274303780698665, 254457864250069894079994806422016452299819971444667138681936421505177/552738274303780698665)]$ |
| 159201.ba2 |
159201z1 |
159201.ba |
159201z |
$2$ |
$3$ |
\( 3^{2} \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{3} \cdot 7^{10} \cdot 19^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$34.56060219$ |
$1$ |
|
$0$ |
$6722352$ |
$3.028828$ |
$0$ |
|
$4.98033$ |
$[0, 0, 1, 0, 10403948973]$ |
\(y^2+y=x^3+10403948973\) |
|
$[(-795633136327531/694715, 25805667867986664286922/694715)]$ |
