| Label |
Class |
Conductor |
Discriminant |
Rank* |
2-Selmer rank |
Torsion |
$\textrm{End}^0(J_{\overline\Q})$ |
$\textrm{End}^0(J)$ |
$\GL_2\textsf{-type}$ |
Sato-Tate |
Nonmaximal primes |
$\Q$-simple |
\(\overline{\Q}\)-simple |
\(\Aut(X)\) |
\(\Aut(X_{\overline{\Q}})\) |
$\Q$-points |
$\Q$-Weierstrass points |
mod-$\ell$ images |
Locally solvable |
Square Ш* |
Analytic Ш* |
Tamagawa |
Regulator |
Real period |
Leading coefficient |
Igusa-Clebsch invariants |
Igusa invariants |
G2-invariants |
Equation |
| 294.a.294.1 |
294.a |
\( 2 \cdot 3 \cdot 7^{2} \) |
\( - 2 \cdot 3 \cdot 7^{2} \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$0$ |
2.45.1, 3.720.4 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(21.451533\) |
\(0.148969\) |
$[236,505,18451,37632]$ |
$[59,124,564,4475,294]$ |
$[\frac{714924299}{294},\frac{12733498}{147},\frac{327214}{49}]$ |
$y^2 + (x^3 + 1)y = x^4 + x^2$ |
| 294.a.8232.1 |
294.a |
\( 2 \cdot 3 \cdot 7^{2} \) |
\( 2^{3} \cdot 3 \cdot 7^{3} \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$0$ |
2.45.1, 3.2160.20 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(1.000000\) |
\(7.150511\) |
\(0.148969\) |
$[7636,11785,29745701,1053696]$ |
$[1909,151354,15951264,1885732415,8232]$ |
$[\frac{25353016669288549}{8232},\frac{75211396489919}{588},\frac{49431027484}{7}]$ |
$y^2 + (x^3 + 1)y = -2x^4 + 4x^2 - 9x - 14$ |
| 448.a.448.2 |
448.a |
\( 2^{6} \cdot 7 \) |
\( - 2^{6} \cdot 7 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$2$ |
2.90.3, 3.2160.5 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(31.171156\) |
\(0.216466\) |
$[828,16635,5308452,56]$ |
$[828,17476,-853888,-253107460,448]$ |
$[\frac{6080953884912}{7},\frac{155007628668}{7},-1306723104]$ |
$y^2 + (x^3 + x)y = -2x^4 + 7$ |
| 578.a.2312.1 |
578.a |
\( 2 \cdot 17^{2} \) |
\( 2^{3} \cdot 17^{2} \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$2$ |
2.90.3, 3.2160.21 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(1.000000\) |
\(13.910299\) |
\(0.289798\) |
$[228,705,135777,295936]$ |
$[57,106,-992,-16945,2312]$ |
$[\frac{601692057}{2312},\frac{9815229}{1156},-\frac{402876}{289}]$ |
$y^2 + (x^2 + x)y = x^5 - 2x^4 + 2x^3 - 2x^2 + x$ |
| 640.a.81920.1 |
640.a |
\( 2^{7} \cdot 5 \) |
\( - 2^{14} \cdot 5 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$2$ |
$0$ |
2.90.1, 3.2160.5 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(1.000000\) |
\(7.405674\) |
\(0.308570\) |
$[912,147,44562,10]$ |
$[3648,552928,111431680,25193348864,81920]$ |
$[\frac{39432490647552}{5},\frac{1638374321664}{5},18102076416]$ |
$y^2 + x^3y = 3x^4 + 13x^2 + 20$ |
| 640.a.81920.2 |
640.a |
\( 2^{7} \cdot 5 \) |
\( 2^{14} \cdot 5 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$2$ |
2.90.3, 3.2160.5 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(1.000000\) |
\(7.405674\) |
\(0.308570\) |
$[912,147,44562,10]$ |
$[3648,552928,111431680,25193348864,81920]$ |
$[\frac{39432490647552}{5},\frac{1638374321664}{5},18102076416]$ |
$y^2 + x^3y = -3x^4 + 13x^2 - 20$ |
| 762.a.3048.1 |
762.a |
\( 2 \cdot 3 \cdot 127 \) |
\( - 2^{3} \cdot 3 \cdot 127 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$0$ |
2.15.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(1.000000\) |
\(16.733449\) |
\(0.348614\) |
$[428,3169,355487,390144]$ |
$[107,345,1823,19009,3048]$ |
$[\frac{14025517307}{3048},\frac{140879945}{1016},\frac{20871527}{3048}]$ |
$y^2 + (x^3 + x^2 + x)y = x^2 + x + 1$ |
| 784.a.1568.1 |
784.a |
\( 2^{4} \cdot 7^{2} \) |
\( 2^{5} \cdot 7^{2} \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$2$ |
2.90.3, 3.2160.21 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(20.793351\) |
\(0.288797\) |
$[792,120,15228,6272]$ |
$[396,6514,144256,3673295,1568]$ |
$[\frac{304316815968}{49},\frac{12641055372}{49},14427072]$ |
$y^2 + (x^3 + x)y = -2x^4 + 3x^2 - 2$ |
| 784.a.43904.1 |
784.a |
\( 2^{4} \cdot 7^{2} \) |
\( - 2^{7} \cdot 7^{3} \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$2$ |
$0$ |
2.90.1, 3.2160.20 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(1.000000\) |
\(6.931117\) |
\(0.288797\) |
$[21288,3000,20891172,175616]$ |
$[10644,4720114,2790613504,1855953490895,43904]$ |
$[\frac{1067368445729034408}{343},\frac{6352710665144931}{49},\frac{50408453477952}{7}]$ |
$y^2 + (x^3 + x)y = 4x^4 + 27x^2 + 56$ |
| 800.a.1600.1 |
800.a |
\( 2^{5} \cdot 5^{2} \) |
\( 2^{6} \cdot 5^{2} \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$0$ |
2.90.2, 3.2160.21 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(1.000000\) |
\(16.770151\) |
\(0.349378\) |
$[0,84,936,200]$ |
$[0,-56,832,-784,-1600]$ |
$[0,-\frac{134456}{625},\frac{728}{25}]$ |
$y^2 + (x^3 + x^2 + x + 1)y = -x^4 - x^2$ |
| 864.a.1728.1 |
864.a |
\( 2^{5} \cdot 3^{3} \) |
\( - 2^{6} \cdot 3^{3} \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$0$ |
2.90.4, 3.720.4 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(1.000000\) |
\(18.142966\) |
\(0.377978\) |
$[96,180,5256,216]$ |
$[96,264,576,-3600,1728]$ |
$[4718592,135168,3072]$ |
$y^2 + (x^3 + x^2 + x + 1)y = x^4 + x^2$ |
| 864.a.221184.1 |
864.a |
\( 2^{5} \cdot 3^{3} \) |
\( - 2^{13} \cdot 3^{3} \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$0$ |
2.45.1, 3.720.4 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(1.000000\) |
\(18.142966\) |
\(0.377978\) |
$[168,34560,-211428,-864]$ |
$[336,-87456,10192896,-1055934720,-221184]$ |
$[-19361664,14998704,-5202624]$ |
$y^2 + x^3y = x^5 - 4x^4 - 6x^3 + 33x^2 - 36x + 12$ |
| 864.a.442368.1 |
864.a |
\( 2^{5} \cdot 3^{3} \) |
\( 2^{14} \cdot 3^{3} \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$2$ |
2.90.3, 3.720.4 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(1.000000\) |
\(9.071483\) |
\(0.377978\) |
$[552,45,7083,54]$ |
$[2208,202656,24809472,3427464960,442368]$ |
$[118634674176,4931431104,273421056]$ |
$y^2 = x^6 - 4x^4 + 6x^2 - 3$ |
| 980.a.7840.1 |
980.a |
\( 2^{2} \cdot 5 \cdot 7^{2} \) |
\( 2^{5} \cdot 5 \cdot 7^{2} \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$0$ |
2.45.1, 3.720.4 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(1.000000\) |
\(14.031519\) |
\(0.389764\) |
$[276,3945,280149,1003520]$ |
$[69,34,20,56,7840]$ |
$[\frac{1564031349}{7840},\frac{5584653}{3920},\frac{4761}{392}]$ |
$y^2 + (x^2 + x + 1)y = -x^6 + 3x^5 - 3x^4 - x$ |
| 980.a.878080.1 |
980.a |
\( 2^{2} \cdot 5 \cdot 7^{2} \) |
\( - 2^{9} \cdot 5 \cdot 7^{3} \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.2160.20 |
|
✓ |
$1$ |
\( 2^{2} \cdot 3 \) |
\(1.000000\) |
\(4.677173\) |
\(0.389764\) |
$[2508,50745,41700723,112394240]$ |
$[627,14266,359660,5497016,878080]$ |
$[\frac{96903107471907}{878080},\frac{251175228777}{62720},\frac{144278343}{896}]$ |
$y^2 + (x^3 + 1)y = -x^6 + x^5 - 4x^4 + 2x^3 - 4x^2 + x - 1$ |
| 1088.b.2176.2 |
1088.b |
\( 2^{6} \cdot 17 \) |
\( 2^{7} \cdot 17 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$2$ |
$0$ |
2.90.1, 3.2160.5 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(1.000000\) |
\(23.575776\) |
\(0.491162\) |
$[7572,68115,166006308,272]$ |
$[7572,2343556,952909568,430794130940,2176]$ |
$[\frac{194465720403941544}{17},\frac{7948719687495546}{17},25108109106912]$ |
$y^2 + (x^3 + x)y = -5x^4 + 24x^2 - 34$ |
| 1142.b.9136.1 |
1142.b |
\( 2 \cdot 571 \) |
\( - 2^{4} \cdot 571 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3, 3.80.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(1.000000\) |
\(17.757282\) |
\(0.493258\) |
$[864,-4488,-1442025,-36544]$ |
$[432,8524,257089,9600968,-9136]$ |
$[-\frac{940369969152}{571},-\frac{42951140352}{571},-\frac{2998686096}{571}]$ |
$y^2 + (x + 1)y = -x^5 + 3x^4 - 6x^2 + x + 3$ |
| 1312.b.10496.1 |
1312.b |
\( 2^{5} \cdot 41 \) |
\( - 2^{8} \cdot 41 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$0$ |
2.90.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(1.000000\) |
\(14.584701\) |
\(0.405131\) |
$[148,373,15335,1312]$ |
$[148,664,4096,41328,10496]$ |
$[\frac{277375828}{41},\frac{8408398}{41},\frac{350464}{41}]$ |
$y^2 + (x + 1)y = x^6 + x^4 + x^3 + x^2$ |
| 1350.a.5400.1 |
1350.a |
\( 2 \cdot 3^{3} \cdot 5^{2} \) |
\( 2^{3} \cdot 3^{3} \cdot 5^{2} \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$2$ |
2.90.3, 3.720.4 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(1.000000\) |
\(22.247707\) |
\(0.463494\) |
$[1380,3969,1536129,691200]$ |
$[345,4794,89568,1979631,5400]$ |
$[\frac{7240885875}{8},\frac{145821495}{4},1974228]$ |
$y^2 + (x^2 + x)y = x^5 + 4x^4 + 4x^3 - x^2 + 3$ |
| 1350.b.6750.1 |
1350.b |
\( 2 \cdot 3^{3} \cdot 5^{2} \) |
\( 2 \cdot 3^{3} \cdot 5^{3} \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$0$ |
2.45.1, 3.720.4 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(1.000000\) |
\(13.781572\) |
\(0.287116\) |
$[1236,3321,1171629,864000]$ |
$[309,3840,63900,1249875,6750]$ |
$[\frac{104334666687}{250},\frac{419607168}{25},\frac{4519434}{5}]$ |
$y^2 + (x^3 + x^2 + x)y = -2x^3 - 2x^2 + 3x - 1$ |
| 1377.a.37179.1 |
1377.a |
\( 3^{4} \cdot 17 \) |
\( - 3^{7} \cdot 17 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3, 3.640.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(1.000000\) |
\(18.604798\) |
\(0.516800\) |
$[2484,1110609,457848297,-4758912]$ |
$[621,-30207,2177857,109996587,-37179]$ |
$[-\frac{42228846423}{17},\frac{3307757121}{17},-\frac{1152086353}{51}]$ |
$y^2 + (x^2 + x + 1)y = -x^5 + 5x^4 + x^3 - 5x^2 + x + 2$ |
| 1632.a.52224.1 |
1632.a |
\( 2^{5} \cdot 3 \cdot 17 \) |
\( 2^{10} \cdot 3 \cdot 17 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$0$ |
2.45.1, 3.720.4 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(1.000000\) |
\(15.157132\) |
\(0.631547\) |
$[15964,2380825,11444690699,6528]$ |
$[15964,9031504,6282991104,4683401370560,52224]$ |
$[\frac{1012531723491160951}{51},\frac{35882713644370099}{51},30660536527816]$ |
$y^2 + (x^3 + x)y = -x^6 + 11x^4 - 27x^2 + 17$ |
| 1746.a.10476.1 |
1746.a |
\( 2 \cdot 3^{2} \cdot 97 \) |
\( - 2^{2} \cdot 3^{3} \cdot 97 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$0$ |
2.90.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(1.000000\) |
\(13.248981\) |
\(0.552041\) |
$[844,21553,4894663,1340928]$ |
$[211,957,6399,108585,10476]$ |
$[\frac{418227202051}{10476},\frac{2996663989}{3492},\frac{10551477}{388}]$ |
$y^2 + (x^2 + x + 1)y = x^6 + x^5 + 2x^4 - x$ |
| 1788.a.14304.1 |
1788.a |
\( 2^{2} \cdot 3 \cdot 149 \) |
\( 2^{5} \cdot 3 \cdot 149 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$0$ |
2.15.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(1.000000\) |
\(19.657077\) |
\(0.546030\) |
$[428,11593,1414427,-1830912]$ |
$[107,-6,-2452,-65600,-14304]$ |
$[-\frac{14025517307}{14304},\frac{1225043}{2384},\frac{7018237}{3576}]$ |
$y^2 + (x^3 + 1)y = x^5 + 2x^4 - x$ |
| 1792.a.3584.1 |
1792.a |
\( 2^{8} \cdot 7 \) |
\( - 2^{9} \cdot 7 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q \times \Q\) |
\(\Q\) |
|
$N(\mathrm{SU}(2)\times\mathrm{SU}(2))$ |
|
✓ |
|
$C_2$ |
$C_2^2$ |
$4$ |
$0$ |
2.90.1, 3.2880.5 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(1.000000\) |
\(27.434286\) |
\(0.571548\) |
$[32,157,2581,14]$ |
$[64,-248,-10304,-180240,3584]$ |
$[\frac{2097152}{7},-\frac{126976}{7},-11776]$ |
$y^2 + (x^3 + x^2 + x + 1)y = -x^4 + x^2 - 2x$ |
| 2016.b.12096.1 |
2016.b |
\( 2^{5} \cdot 3^{2} \cdot 7 \) |
\( 2^{6} \cdot 3^{3} \cdot 7 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$0$ |
2.45.1, 3.720.4 |
✓ |
✓ |
$1$ |
\( 3^{2} \) |
\(1.000000\) |
\(9.446906\) |
\(0.590432\) |
$[896,820,243656,1512]$ |
$[896,32904,1584576,84276720,12096]$ |
$[\frac{1289027059712}{27},\frac{5870190592}{3},105168896]$ |
$y^2 + (x^3 + x^2 + x + 1)y = -x^4 + x^2 - 8x - 10$ |
| 2094.b.50256.1 |
2094.b |
\( 2 \cdot 3 \cdot 349 \) |
\( 2^{4} \cdot 3^{2} \cdot 349 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3, 3.80.1 |
✓ |
✓ |
$1$ |
\( 2^{3} \) |
\(1.000000\) |
\(13.237602\) |
\(0.735422\) |
$[2056,-4328,-3120365,201024]$ |
$[1028,44754,2655481,181728488,50256]$ |
$[\frac{71753913155648}{3141},\frac{1012907913496}{1047},\frac{175391864569}{3141}]$ |
$y^2 + xy = 3x^5 - x^4 - 5x^3 + 3x + 1$ |
| 2156.c.275968.1 |
2156.c |
\( 2^{2} \cdot 7^{2} \cdot 11 \) |
\( - 2^{9} \cdot 7^{2} \cdot 11 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$2$ |
$0$ |
2.45.1, 3.720.4 |
✓ |
✓ |
$1$ |
\( 2^{2} \cdot 3 \) |
\(1.000000\) |
\(6.695303\) |
\(0.557942\) |
$[17292,11145,58172763,35323904]$ |
$[4323,778216,186762752,50438808560,275968]$ |
$[\frac{137256680839210713}{25088},\frac{714452219992269}{3136},\frac{619723677969}{49}]$ |
$y^2 + (x^2 + x + 1)y = x^6 + 3x^5 + 9x^4 + 13x^3 + 18x^2 + 12x + 8$ |
| 2176.a.69632.1 |
2176.a |
\( 2^{7} \cdot 17 \) |
\( 2^{12} \cdot 17 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$2$ |
2.90.3, 3.2160.5 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(1.000000\) |
\(16.670591\) |
\(0.694608\) |
$[7572,68115,166006308,272]$ |
$[15144,9374224,7623276544,6892706095040,69632]$ |
$[\frac{194465720403941544}{17},\frac{7948719687495546}{17},25108109106912]$ |
$y^2 + xy = x^6 - 9x^4 + 24x^2 - 17$ |
| 2176.b.557056.1 |
2176.b |
\( 2^{7} \cdot 17 \) |
\( 2^{15} \cdot 17 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$0$ |
2.90.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \cdot 3 \) |
\(1.000000\) |
\(9.096322\) |
\(0.758027\) |
$[52,-35,563,2176]$ |
$[104,544,-4096,-180480,557056]$ |
$[\frac{371293}{17},\frac{2197}{2},-\frac{1352}{17}]$ |
$y^2 + (x^3 + x)y = -x^4 - x^3 - 2x^2 - 3x - 1$ |
| 2298.a.165456.1 |
2298.a |
\( 2 \cdot 3 \cdot 383 \) |
\( 2^{4} \cdot 3^{3} \cdot 383 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3, 3.80.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \cdot 3 \) |
\(1.000000\) |
\(9.581233\) |
\(0.798436\) |
$[192,5856,434679,661824]$ |
$[96,-592,-20223,-572968,165456]$ |
$[\frac{18874368}{383},-\frac{1212416}{383},-\frac{431424}{383}]$ |
$y^2 + (x + 1)y = x^5 + x^4 + 2x^3 + 2x^2 + x + 1$ |
| 2400.a.4800.1 |
2400.a |
\( 2^{5} \cdot 3 \cdot 5^{2} \) |
\( - 2^{6} \cdot 3 \cdot 5^{2} \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$0$ |
2.45.1, 3.720.4 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(1.000000\) |
\(28.684225\) |
\(0.597588\) |
$[64,2644,8936,-600]$ |
$[64,-1592,24000,-249616,-4800]$ |
$[-\frac{16777216}{75},\frac{6520832}{75},-20480]$ |
$y^2 + x^3y = -2x^4 - 2x^3 + 4x^2 + 6x + 2$ |
| 2430.a.77760.1 |
2430.a |
\( 2 \cdot 3^{5} \cdot 5 \) |
\( - 2^{6} \cdot 3^{5} \cdot 5 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(1.000000\) |
\(15.327209\) |
\(0.638634\) |
$[4540,3465,5151051,-40960]$ |
$[3405,481785,90680809,19162842105,-77760]$ |
$[-\frac{376711868691875}{64},-\frac{46962326109625}{192},-\frac{23363457034805}{1728}]$ |
$y^2 + (x^3 + 1)y = -x^6 + 6x^4 + 3x^3 - 9x^2 - 4x + 4$ |
| 2592.b.419904.1 |
2592.b |
\( 2^{5} \cdot 3^{4} \) |
\( 2^{6} \cdot 3^{8} \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$0$ |
2.90.2, 3.720.4 |
✓ |
✓ |
$1$ |
\( 2^{2} \cdot 3 \) |
\(1.000000\) |
\(8.188197\) |
\(0.682350\) |
$[96,180,5256,216]$ |
$[288,2376,15552,-291600,419904]$ |
$[4718592,135168,3072]$ |
$y^2 + x^3y = 2x^3 - 6x^2 + 6x - 2$ |
| 2784.b.22272.1 |
2784.b |
\( 2^{5} \cdot 3 \cdot 29 \) |
\( - 2^{8} \cdot 3 \cdot 29 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$1$ |
2.60.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(1.000000\) |
\(20.520326\) |
\(0.570009\) |
$[2012,4429,2880293,-2784]$ |
$[2012,165720,17943808,2159955824,-22272]$ |
$[-\frac{128795270810972}{87},-\frac{1757509307870}{29},-\frac{9784364048}{3}]$ |
$y^2 + (x + 1)y = x^6 - 5x^4 - x^3 + 7x^2 + 2x - 2$ |
| 3312.b.158976.1 |
3312.b |
\( 2^{4} \cdot 3^{2} \cdot 23 \) |
\( - 2^{8} \cdot 3^{3} \cdot 23 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$2$ |
$0$ |
2.90.1, 3.720.4 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(1.000000\) |
\(13.198753\) |
\(0.549948\) |
$[4012,5331445,11233459993,19872]$ |
$[4012,-2883624,-5874746112,-7971192193680,158976]$ |
$[\frac{4060361081620972}{621},-\frac{242471212642154}{207},-\frac{1784434619984}{3}]$ |
$y^2 + (x^3 + x)y = -6x^4 + 24x^2 + 69$ |
| 3456.e.442368.1 |
3456.e |
\( 2^{7} \cdot 3^{3} \) |
\( - 2^{14} \cdot 3^{3} \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$2$ |
2.90.3, 3.720.4 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(1.000000\) |
\(16.844313\) |
\(0.701846\) |
$[384,2295,331704,54]$ |
$[1536,73824,-36864,-1376651520,442368]$ |
$[19327352832,604766208,-196608]$ |
$y^2 + x^3y = -x^4 - 3x^2 + 12$ |
| 3950.b.39500.1 |
3950.b |
\( 2 \cdot 5^{2} \cdot 79 \) |
\( - 2^{2} \cdot 5^{3} \cdot 79 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$0$ |
2.90.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(1.000000\) |
\(18.760052\) |
\(0.781669\) |
$[556,1,2724719,5056000]$ |
$[139,805,-31625,-1260975,39500]$ |
$[\frac{51888844699}{39500},\frac{432384659}{7900},-\frac{4888213}{316}]$ |
$y^2 + (x^3 + 1)y = -2x^4 + 2x^3 - x^2 + 1$ |
| 4236.b.542208.1 |
4236.b |
\( 2^{2} \cdot 3 \cdot 353 \) |
\( 2^{9} \cdot 3 \cdot 353 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$0$ |
2.15.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \cdot 3 \) |
\(1.000000\) |
\(9.248429\) |
\(0.770702\) |
$[44,42169,-1419565,-69402624]$ |
$[11,-1752,25088,-698384,-542208]$ |
$[-\frac{161051}{542208},\frac{97163}{22592},-\frac{5929}{1059}]$ |
$y^2 + (x^3 + x^2 + x)y = -x^4 + 2x^3 - x^2 + x + 1$ |
| 4356.a.104544.1 |
4356.a |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \) |
\( 2^{5} \cdot 3^{3} \cdot 11^{2} \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$0$ |
2.45.1, 3.720.4 |
✓ |
✓ |
$1$ |
\( 2^{2} \cdot 3 \) |
\(1.000000\) |
\(10.542579\) |
\(0.878548\) |
$[212,-5975,-23947,13381632]$ |
$[53,366,-2988,-73080,104544]$ |
$[\frac{418195493}{104544},\frac{9081497}{17424},-\frac{233147}{2904}]$ |
$y^2 + (x^3 + 1)y = x^5 + x$ |
| 4752.c.304128.1 |
4752.c |
\( 2^{4} \cdot 3^{3} \cdot 11 \) |
\( 2^{10} \cdot 3^{3} \cdot 11 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$2$ |
2.90.3, 3.720.4 |
✓ |
✓ |
$1$ |
\( 2^{2} \cdot 3 \) |
\(1.000000\) |
\(11.677091\) |
\(0.973091\) |
$[37668,9492525,109439567307,38016]$ |
$[37668,52791576,92654318592,175788094039920,304128]$ |
$[\frac{2742831244030137291}{11},\frac{204102623643326193}{22},432269291251536]$ |
$y^2 + (x^3 + x)y = -9x^4 + 80x^2 - 132$ |
| 5170.a.10340.1 |
5170.a |
\( 2 \cdot 5 \cdot 11 \cdot 47 \) |
\( - 2^{2} \cdot 5 \cdot 11 \cdot 47 \) |
$0$ |
$3$ |
$\Z/12\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1, 3.80.1 |
✓ |
✓ |
$4$ |
\( 2 \) |
\(1.000000\) |
\(15.078500\) |
\(0.837694\) |
$[285332,581665,55272961729,-1323520]$ |
$[71333,211992301,839922308009,3743360578482849,-10340]$ |
$[-\frac{1846938549604621325271893}{10340},-\frac{76946975929236779898137}{10340},-\frac{4273858059074695384001}{10340}]$ |
$y^2 + (x^3 + 1)y = -3x^6 + 25x^4 + 14x^3 - 46x^2 - 22x + 24$ |
| 5390.b.59290.1 |
5390.b |
\( 2 \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2 \cdot 5 \cdot 7^{2} \cdot 11^{2} \) |
$1$ |
$2$ |
$\Z/12\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$4$ |
$0$ |
2.45.1, 3.720.4 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(2.094037\) |
\(14.250681\) |
\(0.414465\) |
$[58932,45705,889693317,7589120]$ |
$[14733,9042316,7398131180,6808297007771,59290]$ |
$[\frac{694154181685437628893}{59290},\frac{14458500390461469246}{29645},\frac{1327147016629662}{49}]$ |
$y^2 + (x^3 + x^2 + x)y = x^5 - 33x^3 + 54x^2 - x - 29$ |
| 5436.a.391392.1 |
5436.a |
\( 2^{2} \cdot 3^{2} \cdot 151 \) |
\( - 2^{5} \cdot 3^{4} \cdot 151 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$0$ |
2.15.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \cdot 3 \) |
\(1.000000\) |
\(10.946368\) |
\(0.912197\) |
$[844,15769,2925155,50098176]$ |
$[211,1198,19628,676576,391392]$ |
$[\frac{418227202051}{391392},\frac{5626964669}{195696},\frac{218464547}{97848}]$ |
$y^2 + (x^3 + x^2 + x)y = 2x^2 + 2x + 2$ |
| 6048.a.254016.1 |
6048.a |
\( 2^{5} \cdot 3^{3} \cdot 7 \) |
\( 2^{6} \cdot 3^{4} \cdot 7^{2} \) |
$0$ |
$2$ |
$\Z/12\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.2, 3.720.4 |
|
|
$2$ |
\( 2 \cdot 3 \) |
\(1.000000\) |
\(9.765536\) |
\(0.813795\) |
$[21216,180,1081656,31752]$ |
$[21216,18754824,22105573056,29312103671280,254016]$ |
$[\frac{829187107220619264}{49},\frac{34549241742585856}{49},39171275959296]$ |
$y^2 + y = 6x^6 - 18x^5 + 6x^4 + 18x^3 - 4x^2 - 8x - 2$ |
| 7188.b.517536.1 |
7188.b |
\( 2^{2} \cdot 3 \cdot 599 \) |
\( 2^{5} \cdot 3^{3} \cdot 599 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$2$ |
2.30.3, 3.80.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \cdot 3 \) |
\(1.000000\) |
\(13.479300\) |
\(1.123275\) |
$[4068,-11271,-33622659,66244608]$ |
$[1017,43565,2769201,229592048,517536]$ |
$[\frac{40294057371291}{19168},\frac{1697214810735}{19168},\frac{106079782707}{19168}]$ |
$y^2 + (x^2 + x)y = x^5 - 3x^4 - 3x^3 + 5x^2 + 6x + 2$ |
| 7650.b.459000.1 |
7650.b |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{3} \cdot 17 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$2$ |
$0$ |
2.90.1, 3.720.4 |
✓ |
✓ |
$1$ |
\( 3^{3} \) |
\(1.000000\) |
\(5.303379\) |
\(0.994384\) |
$[97756,2401,60649519,58752000]$ |
$[24439,24885930,33788152800,51609788578575,459000]$ |
$[\frac{8718005866340568426199}{459000},\frac{12108292805580522589}{15300},\frac{659492537751548}{15}]$ |
$y^2 + (x^2 + x)y = x^6 + 3x^5 + 13x^4 + 21x^3 + 45x^2 + 35x + 40$ |
| 9900.b.118800.1 |
9900.b |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 11 \) |
$1$ |
$2$ |
$\Z/12\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$6$ |
$0$ |
2.45.1, 3.720.4 |
✓ |
✓ |
$1$ |
\( 3^{2} \) |
\(0.933966\) |
\(13.239364\) |
\(0.772820\) |
$[10312,33016336,50250465532,-475200]$ |
$[5156,-4395042,2615025600,-1458330547041,-118800]$ |
$[-\frac{227742750150748736}{7425},\frac{4183495089857288}{825},-585174404032]$ |
$y^2 + (x^2 + 1)y = x^6 + 13x^4 - 22x^2 + 8$ |
| 10982.a.746776.1 |
10982.a |
\( 2 \cdot 17^{2} \cdot 19 \) |
\( 2^{3} \cdot 17^{3} \cdot 19 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$2$ |
$0$ |
2.90.1, 3.720.4 |
✓ |
✓ |
$1$ |
\( 3^{2} \) |
\(1.000000\) |
\(10.778308\) |
\(0.673644\) |
$[125988,238305,9994382097,95587328]$ |
$[31497,41325946,72278955488,142184112052655,746776]$ |
$[\frac{30998876380573355257257}{746776},\frac{37979693722061316837}{21964},96019600939092]$ |
$y^2 + (x^2 + x)y = -x^6 + 30x^4 + 86x^3 + 56x^2 - 28x - 8$ |
| 13056.c.705024.1 |
13056.c |
\( 2^{8} \cdot 3 \cdot 17 \) |
\( - 2^{9} \cdot 3^{4} \cdot 17 \) |
$0$ |
$1$ |
$\Z/12\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$4$ |
$0$ |
2.90.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \cdot 3 \) |
\(1.000000\) |
\(9.086906\) |
\(0.757242\) |
$[208,1045,59007,2754]$ |
$[416,4424,69056,2288880,705024]$ |
$[\frac{24333058048}{1377},\frac{622049792}{1377},\frac{23340928}{1377}]$ |
$y^2 + (x^3 + x^2 + x + 1)y = x^4 + x^2 - 2x + 2$ |
