| 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 |
| 53067.a1 |
53067d2 |
53067.a |
53067d |
$2$ |
$13$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{13} \cdot 7^{8} \cdot 19^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.28.0.2 |
13B.4.2 |
$10374$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$3921372$ |
$2.882561$ |
$-1713910976512/1594323$ |
$1.10592$ |
$5.64423$ |
$[0, -1, 1, -16138264, 24979035066]$ |
\(y^2+y=x^3-x^2-16138264x+24979035066\) |
6.2.0.a.1, 13.28.0.a.2, 78.56.1.?, 91.84.2.?, 247.56.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 53067.a2 |
53067d1 |
53067.a |
53067d |
$2$ |
$13$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3 \cdot 7^{8} \cdot 19^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.28.0.1 |
13B.4.1 |
$10374$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$301644$ |
$1.600086$ |
$-28672/3$ |
$0.91239$ |
$4.01347$ |
$[0, -1, 1, -41274, -3493414]$ |
\(y^2+y=x^3-x^2-41274x-3493414\) |
6.2.0.a.1, 13.28.0.a.1, 78.56.1.?, 91.84.2.?, 247.56.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 53067.b1 |
53067k1 |
53067.b |
53067k |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{9} \cdot 7^{10} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$16.26589936$ |
$1$ |
|
$0$ |
$503496$ |
$1.909502$ |
$-59584000000/19683$ |
$1.10928$ |
$4.61051$ |
$[0, -1, 1, -380158, -90117378]$ |
\(y^2+y=x^3-x^2-380158x-90117378\) |
6.2.0.a.1 |
$[(8775635/89, 20520719189/89)]$ |
$1$ |
| 53067.c1 |
53067c1 |
53067.c |
53067c |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{14} \cdot 7^{4} \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4173120$ |
$2.825027$ |
$28383712415744/32806384371$ |
$1.04419$ |
$5.18664$ |
$[0, -1, 1, 3071990, -2070594576]$ |
\(y^2+y=x^3-x^2+3071990x-2070594576\) |
38.2.0.a.1 |
$[ ]$ |
$1$ |
| 53067.d1 |
53067v1 |
53067.d |
53067v |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{14} \cdot 7^{10} \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$29211840$ |
$3.797981$ |
$28383712415744/32806384371$ |
$1.04419$ |
$6.25982$ |
$[0, 1, 1, 150527494, 709912884482]$ |
\(y^2+y=x^3+x^2+150527494x+709912884482\) |
38.2.0.a.1 |
$[ ]$ |
$1$ |
| 53067.e1 |
53067l1 |
53067.e |
53067l |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{9} \cdot 7^{4} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.109444329$ |
$1$ |
|
$8$ |
$71928$ |
$0.936547$ |
$-59584000000/19683$ |
$1.10928$ |
$3.53733$ |
$[0, 1, 1, -7758, 260516]$ |
\(y^2+y=x^3+x^2-7758x+260516\) |
6.2.0.a.1 |
$[(72, 283)]$ |
$1$ |
| 53067.f1 |
53067w2 |
53067.f |
53067w |
$2$ |
$13$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{13} \cdot 7^{2} \cdot 19^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.28.0.2 |
13B.4.2 |
$10374$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$560196$ |
$1.909607$ |
$-1713910976512/1594323$ |
$1.10592$ |
$4.57105$ |
$[0, 1, 1, -329352, -72919276]$ |
\(y^2+y=x^3+x^2-329352x-72919276\) |
6.2.0.a.1, 13.28.0.a.2, 78.56.1.?, 91.84.2.?, 546.168.9.?, $\ldots$ |
$[ ]$ |
$1$ |
| 53067.f2 |
53067w1 |
53067.f |
53067w |
$2$ |
$13$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3 \cdot 7^{2} \cdot 19^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.28.0.1 |
13B.4.1 |
$10374$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$43092$ |
$0.627132$ |
$-28672/3$ |
$0.91239$ |
$2.94029$ |
$[0, 1, 1, -842, 9944]$ |
\(y^2+y=x^3+x^2-842x+9944\) |
6.2.0.a.1, 13.28.0.a.1, 78.56.1.?, 91.84.2.?, 546.168.9.?, $\ldots$ |
$[ ]$ |
$1$ |
| 53067.g1 |
53067h2 |
53067.g |
53067h |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{10} \cdot 7^{9} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$5.390666012$ |
$1$ |
|
$2$ |
$4147200$ |
$3.159454$ |
$789529529265625/7311624327$ |
$1.01939$ |
$5.85005$ |
$[1, 1, 1, -34060538, 75882414152]$ |
\(y^2+xy+y=x^3+x^2-34060538x+75882414152\) |
2.3.0.a.1, 28.6.0.a.1, 228.6.0.?, 1596.12.0.? |
$[(2094, 116200)]$ |
$1$ |
| 53067.g2 |
53067h1 |
53067.g |
53067h |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{5} \cdot 7^{12} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$10.78133202$ |
$1$ |
|
$1$ |
$2073600$ |
$2.812881$ |
$1031831907625/543185433$ |
$0.96952$ |
$5.23971$ |
$[1, 1, 1, -3723903, -832868436]$ |
\(y^2+xy+y=x^3+x^2-3723903x-832868436\) |
2.3.0.a.1, 28.6.0.b.1, 114.6.0.?, 1596.12.0.? |
$[(-7926/5, 2241858/5)]$ |
$1$ |
| 53067.h1 |
53067i2 |
53067.h |
53067i |
$2$ |
$7$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{7} \cdot 7^{6} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$798$ |
$96$ |
$2$ |
$17.21111008$ |
$1$ |
|
$0$ |
$95256$ |
$1.214209$ |
$-89289015625/2187$ |
$1.08884$ |
$3.93219$ |
$[1, 1, 1, -32488, -2267476]$ |
\(y^2+xy+y=x^3+x^2-32488x-2267476\) |
6.2.0.a.1, 7.8.0.a.1, 42.16.0.a.1, 133.48.0.?, 798.96.2.? |
$[(20862922/293, 48869176856/293)]$ |
$1$ |
| 53067.h2 |
53067i1 |
53067.h |
53067i |
$2$ |
$7$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3 \cdot 7^{6} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$798$ |
$96$ |
$2$ |
$2.458730012$ |
$1$ |
|
$2$ |
$13608$ |
$0.241254$ |
$2375/3$ |
$0.82914$ |
$2.34435$ |
$[1, 1, 1, 97, 440]$ |
\(y^2+xy+y=x^3+x^2+97x+440\) |
6.2.0.a.1, 7.8.0.a.1, 42.16.0.a.1, 133.48.0.?, 798.96.2.? |
$[(-4, 4)]$ |
$1$ |
| 53067.i1 |
53067e2 |
53067.i |
53067e |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{6} \cdot 7^{7} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$230400$ |
$1.347775$ |
$6018636259/5103$ |
$0.93926$ |
$3.95493$ |
$[1, 1, 1, -35281, -2563534]$ |
\(y^2+xy+y=x^3+x^2-35281x-2563534\) |
2.3.0.a.1, 84.6.0.?, 228.6.0.?, 266.6.0.?, 1596.12.0.? |
$[ ]$ |
$1$ |
| 53067.i2 |
53067e1 |
53067.i |
53067e |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{3} \cdot 7^{8} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$115200$ |
$1.001202$ |
$2685619/1323$ |
$0.89213$ |
$3.24581$ |
$[1, 1, 1, -2696, -21904]$ |
\(y^2+xy+y=x^3+x^2-2696x-21904\) |
2.3.0.a.1, 84.6.0.?, 114.6.0.?, 532.6.0.?, 1596.12.0.? |
$[ ]$ |
$1$ |
| 53067.j1 |
53067t4 |
53067.j |
53067t |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{4} \cdot 7^{6} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$829440$ |
$2.200165$ |
$115714886617/1539$ |
$0.98111$ |
$5.03860$ |
$[1, 0, 0, -1795802, 926105865]$ |
\(y^2+xy=x^3-1795802x+926105865\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0-4.c.1.1, 76.12.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 53067.j2 |
53067t2 |
53067.j |
53067t |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{2} \cdot 7^{6} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1596$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$414720$ |
$1.853592$ |
$30664297/3249$ |
$0.90727$ |
$4.28159$ |
$[1, 0, 0, -115347, 13618800]$ |
\(y^2+xy=x^3-115347x+13618800\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 76.12.0.?, 84.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 53067.j3 |
53067t1 |
53067.j |
53067t |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( 3 \cdot 7^{6} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$207360$ |
$1.507019$ |
$389017/57$ |
$0.96267$ |
$3.88016$ |
$[1, 0, 0, -26902, -1469917]$ |
\(y^2+xy=x^3-26902x-1469917\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0-4.c.1.2, 114.6.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 53067.j4 |
53067t3 |
53067.j |
53067t |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3 \cdot 7^{6} \cdot 19^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$829440$ |
$2.200165$ |
$67419143/390963$ |
$0.97474$ |
$4.55618$ |
$[1, 0, 0, 149988, 67163403]$ |
\(y^2+xy=x^3+149988x+67163403\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0-4.c.1.5, $\ldots$ |
$[ ]$ |
$1$ |
| 53067.k1 |
53067b1 |
53067.k |
53067b |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{4} \cdot 7^{8} \cdot 19^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$3.530614886$ |
$1$ |
|
$6$ |
$604800$ |
$2.078838$ |
$-1835008/1539$ |
$0.91010$ |
$4.46281$ |
$[0, -1, 1, -165097, 40463751]$ |
\(y^2+y=x^3-x^2-165097x+40463751\) |
38.2.0.a.1 |
$[(469, 8122), (-215, 8122)]$ |
$1$ |
| 53067.l1 |
53067p1 |
53067.l |
53067p |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{4} \cdot 7^{2} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$86400$ |
$1.105883$ |
$-1835008/1539$ |
$0.91010$ |
$3.38963$ |
$[0, 1, 1, -3369, -118933]$ |
\(y^2+y=x^3+x^2-3369x-118933\) |
38.2.0.a.1 |
$[ ]$ |
$1$ |
| 53067.m1 |
53067f2 |
53067.m |
53067f |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{6} \cdot 7^{7} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$2.930505282$ |
$1$ |
|
$4$ |
$829440$ |
$2.371540$ |
$12246522625/1842183$ |
$0.89725$ |
$4.83216$ |
$[1, 1, 0, -849440, 258874533]$ |
\(y^2+xy=x^3+x^2-849440x+258874533\) |
2.3.0.a.1, 28.6.0.a.1, 228.6.0.?, 1596.12.0.? |
$[(356, 1145)]$ |
$1$ |
| 53067.m2 |
53067f1 |
53067.m |
53067f |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{3} \cdot 7^{8} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$5.861010564$ |
$1$ |
|
$3$ |
$414720$ |
$2.024967$ |
$244140625/25137$ |
$1.08196$ |
$4.47228$ |
$[1, 1, 0, -230325, -38672136]$ |
\(y^2+xy=x^3+x^2-230325x-38672136\) |
2.3.0.a.1, 28.6.0.b.1, 114.6.0.?, 1596.12.0.? |
$[(-340, 862)]$ |
$1$ |
| 53067.n1 |
53067g2 |
53067.n |
53067g |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{2} \cdot 7^{9} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$6.002608133$ |
$1$ |
|
$2$ |
$1290240$ |
$2.302891$ |
$7880599/3249$ |
$0.86684$ |
$4.69329$ |
$[1, 1, 0, -513349, 75704938]$ |
\(y^2+xy=x^3+x^2-513349x+75704938\) |
2.3.0.a.1, 28.6.0.a.1, 228.6.0.?, 1596.12.0.? |
$[(94, 5272)]$ |
$1$ |
| 53067.n2 |
53067g1 |
53067.n |
53067g |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3 \cdot 7^{9} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$12.00521626$ |
$1$ |
|
$1$ |
$645120$ |
$1.956316$ |
$68921/57$ |
$0.78914$ |
$4.25767$ |
$[1, 1, 0, 105766, 8716695]$ |
\(y^2+xy=x^3+x^2+105766x+8716695\) |
2.3.0.a.1, 28.6.0.b.1, 228.6.0.?, 798.6.0.?, 1596.12.0.? |
$[(148918/9, 57748249/9)]$ |
$1$ |
| 53067.o1 |
53067s2 |
53067.o |
53067s |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{2} \cdot 7^{7} \cdot 19^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5806080$ |
$2.971214$ |
$11192824869409/2963890503$ |
$0.95644$ |
$5.45884$ |
$[1, 0, 1, -8243443, 6708644387]$ |
\(y^2+xy+y=x^3-8243443x+6708644387\) |
2.3.0.a.1, 28.6.0.a.1, 228.6.0.?, 1596.12.0.? |
$[ ]$ |
$1$ |
| 53067.o2 |
53067s1 |
53067.o |
53067s |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( 3 \cdot 7^{8} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2903040$ |
$2.624641$ |
$8855610342769/1008273$ |
$0.94565$ |
$5.43731$ |
$[1, 0, 1, -7624328, 8101653137]$ |
\(y^2+xy+y=x^3-7624328x+8101653137\) |
2.3.0.a.1, 28.6.0.b.1, 114.6.0.?, 1596.12.0.? |
$[ ]$ |
$1$ |
| 53067.p1 |
53067r2 |
53067.p |
53067r |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{2} \cdot 7^{3} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$184320$ |
$1.329935$ |
$7880599/3249$ |
$0.86684$ |
$3.62011$ |
$[1, 0, 1, -10477, -222211]$ |
\(y^2+xy+y=x^3-10477x-222211\) |
2.3.0.a.1, 28.6.0.a.1, 228.6.0.?, 1596.12.0.? |
$[ ]$ |
$1$ |
| 53067.p2 |
53067r1 |
53067.p |
53067r |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3 \cdot 7^{3} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$92160$ |
$0.983361$ |
$68921/57$ |
$0.78914$ |
$3.18449$ |
$[1, 0, 1, 2158, -25105]$ |
\(y^2+xy+y=x^3+2158x-25105\) |
2.3.0.a.1, 28.6.0.b.1, 228.6.0.?, 798.6.0.?, 1596.12.0.? |
$[ ]$ |
$1$ |
| 53067.q1 |
53067m2 |
53067.q |
53067m |
$2$ |
$7$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{7} \cdot 7^{6} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.16.0.1 |
7B.2.1 |
$798$ |
$96$ |
$2$ |
$1.576867318$ |
$1$ |
|
$2$ |
$1809864$ |
$2.686428$ |
$-89289015625/2187$ |
$1.08884$ |
$5.55607$ |
$[1, 0, 1, -11728176, 15458791261]$ |
\(y^2+xy+y=x^3-11728176x+15458791261\) |
6.2.0.a.1, 7.16.0-7.a.1.2, 42.32.0-42.a.1.2, 133.48.0.?, 798.96.2.? |
$[(1835, 9912)]$ |
$1$ |
| 53067.q2 |
53067m1 |
53067.q |
53067m |
$2$ |
$7$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3 \cdot 7^{6} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.16.0.2 |
7B.2.3 |
$798$ |
$96$ |
$2$ |
$11.03807123$ |
$1$ |
|
$0$ |
$258552$ |
$1.713474$ |
$2375/3$ |
$0.82914$ |
$3.96823$ |
$[1, 0, 1, 35009, -2739103]$ |
\(y^2+xy+y=x^3+35009x-2739103\) |
6.2.0.a.1, 7.16.0-7.a.1.1, 42.32.0-42.a.1.4, 133.48.0.?, 798.96.2.? |
$[(989073/119, 309794687/119)]$ |
$1$ |
| 53067.r1 |
53067q6 |
53067.r |
53067q |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( 3 \cdot 7^{8} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$6384$ |
$192$ |
$1$ |
$1$ |
$64$ |
$2$ |
$0$ |
$1327104$ |
$2.519379$ |
$53297461115137/147$ |
$1.05087$ |
$5.60229$ |
$[1, 0, 1, -13868545, -19880151427]$ |
\(y^2+xy+y=x^3-13868545x-19880151427\) |
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, $\ldots$ |
$[ ]$ |
$1$ |
| 53067.r2 |
53067q4 |
53067.r |
53067q |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{2} \cdot 7^{10} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$3192$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$2$ |
$663552$ |
$2.172806$ |
$13027640977/21609$ |
$1.08149$ |
$4.83785$ |
$[1, 0, 1, -867130, -310421569]$ |
\(y^2+xy+y=x^3-867130x-310421569\) |
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, $\ldots$ |
$[ ]$ |
$1$ |
| 53067.r3 |
53067q3 |
53067.r |
53067q |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{8} \cdot 7^{7} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$6384$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$663552$ |
$2.172806$ |
$6570725617/45927$ |
$1.00160$ |
$4.77493$ |
$[1, 0, 1, -690240, 219328603]$ |
\(y^2+xy+y=x^3-690240x+219328603\) |
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, $\ldots$ |
$[ ]$ |
$1$ |
| 53067.r4 |
53067q5 |
53067.r |
53067q |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3 \cdot 7^{14} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$6384$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$0$ |
$1327104$ |
$2.519379$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.92667$ |
$[1, 0, 1, -601795, -503903851]$ |
\(y^2+xy+y=x^3-601795x-503903851\) |
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, $\ldots$ |
$[ ]$ |
$1$ |
| 53067.r5 |
53067q2 |
53067.r |
53067q |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{4} \cdot 7^{8} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$3192$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$2$ |
$331776$ |
$1.826233$ |
$7189057/3969$ |
$1.14862$ |
$4.14826$ |
$[1, 0, 1, -71125, -1571629]$ |
\(y^2+xy+y=x^3-71125x-1571629\) |
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, $\ldots$ |
$[ ]$ |
$1$ |
| 53067.r6 |
53067q1 |
53067.r |
53067q |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{2} \cdot 7^{7} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$6384$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$165888$ |
$1.479660$ |
$103823/63$ |
$0.97868$ |
$3.75874$ |
$[1, 0, 1, 17320, -191887]$ |
\(y^2+xy+y=x^3+17320x-191887\) |
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, $\ldots$ |
$[ ]$ |
$1$ |
| 53067.s1 |
53067n2 |
53067.s |
53067n |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{6} \cdot 7^{7} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$5.160047857$ |
$1$ |
|
$2$ |
$4377600$ |
$2.819996$ |
$6018636259/5103$ |
$0.93926$ |
$5.57880$ |
$[1, 0, 1, -12736449, 17481386899]$ |
\(y^2+xy+y=x^3-12736449x+17481386899\) |
2.3.0.a.1, 84.6.0.?, 228.6.0.?, 266.6.0.?, 1596.12.0.? |
$[(1937, 7941)]$ |
$1$ |
| 53067.s2 |
53067n1 |
53067.s |
53067n |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( 3^{3} \cdot 7^{8} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1596$ |
$12$ |
$0$ |
$10.32009571$ |
$1$ |
|
$1$ |
$2188800$ |
$2.473423$ |
$2685619/1323$ |
$0.89213$ |
$4.86969$ |
$[1, 0, 1, -973264, 142452209]$ |
\(y^2+xy+y=x^3-973264x+142452209\) |
2.3.0.a.1, 84.6.0.?, 114.6.0.?, 532.6.0.?, 1596.12.0.? |
$[(-8901/5, 2655722/5)]$ |
$1$ |
| 53067.t1 |
53067a1 |
53067.t |
53067a |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{9} \cdot 7^{4} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$17.65276925$ |
$1$ |
|
$0$ |
$1366632$ |
$2.408768$ |
$-59584000000/19683$ |
$1.10928$ |
$5.16121$ |
$[0, -1, 1, -2800758, -1803685255]$ |
\(y^2+y=x^3-x^2-2800758x-1803685255\) |
6.2.0.a.1 |
$[(7230947461/1194, 575863463989439/1194)]$ |
$1$ |
| 53067.u1 |
53067j1 |
53067.u |
53067j |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{2} \cdot 7^{6} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$6.988252370$ |
$1$ |
|
$0$ |
$336960$ |
$1.608625$ |
$-1404928/171$ |
$0.86512$ |
$4.01574$ |
$[0, -1, 1, -41274, 3564497]$ |
\(y^2+y=x^3-x^2-41274x+3564497\) |
38.2.0.a.1 |
$[(33429/10, 5196817/10)]$ |
$1$ |
| 53067.v1 |
53067u2 |
53067.v |
53067u |
$2$ |
$5$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{2} \cdot 7^{6} \cdot 19^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$1330$ |
$48$ |
$1$ |
$1$ |
$25$ |
$5$ |
$0$ |
$7128000$ |
$3.096581$ |
$-9358714467168256/22284891$ |
$1.06833$ |
$6.07733$ |
$[0, 1, 1, -77660606, -263446752481]$ |
\(y^2+y=x^3+x^2-77660606x-263446752481\) |
5.12.0.a.2, 38.2.0.a.1, 70.24.0-5.a.2.2, 190.24.1.?, 665.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 53067.v2 |
53067u1 |
53067.v |
53067u |
$2$ |
$5$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{10} \cdot 7^{6} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1330$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1425600$ |
$2.291862$ |
$841232384/1121931$ |
$1.00490$ |
$4.61044$ |
$[0, 1, 1, 347884, -90090241]$ |
\(y^2+y=x^3+x^2+347884x-90090241\) |
5.12.0.a.1, 38.2.0.a.1, 70.24.0-5.a.1.2, 190.24.1.?, 665.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 53067.w1 |
53067o1 |
53067.w |
53067o |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 19^{2} \) |
\( - 3^{9} \cdot 7^{10} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$15.82532456$ |
$1$ |
|
$0$ |
$9566424$ |
$3.381721$ |
$-59584000000/19683$ |
$1.10928$ |
$6.23439$ |
$[0, 1, 1, -137237158, 618938516683]$ |
\(y^2+y=x^3+x^2-137237158x+618938516683\) |
6.2.0.a.1 |
$[(152569421/134, 619866386519/134)]$ |
$1$ |
