| Label |
Class |
Equation |
Sato-Tate |
\(\overline{\Q}\)-simple |
\(\GL_2\) |
Rank* |
| 504.a.27216.1 |
504.a |
\(y^2 + (x^3 + x)y = 3x^4 + 15x^2 + 21\) |
$G_{3,3}$ |
|
✓ |
0 |
| 523.a.523.1 |
523.a |
\(y^2 + (x + 1)y = x^5 - x^4 - x^3\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 523.a.523.2 |
523.a |
\(y^2 + xy = x^5 - 31x^4 - 110x^3 + 21x^2 - x\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 529.a.529.1 |
529.a |
\(y^2 + (x^3 + x + 1)y = -x^5\) |
$G_{3,3}$ |
✓ |
✓ |
0 |
| 555.a.8325.1 |
555.a |
\(y^2 + (x + 1)y = 3x^5 - 2x^4 - 4x^3 + x^2 + x\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 574.a.293888.1 |
574.a |
\(y^2 + (x^2 + x)y = x^5 - x^4 - 3x^2 + x + 1\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 576.a.576.1 |
576.a |
\(y^2 + (x^3 + x^2 + x + 1)y = -x^3 - x\) |
$E_2$ |
|
✓ |
0 |
| 576.b.147456.1 |
576.b |
\(y^2 = x^6 + 2x^4 + 2x^2 + 1\) |
$E_1$ |
|
|
0 |
| 578.a.2312.1 |
578.a |
\(y^2 + (x^2 + x)y = x^5 - 2x^4 + 2x^3 - 2x^2 + x\) |
$G_{3,3}$ |
|
✓ |
0 |
| 587.a.587.1 |
587.a |
\(y^2 + (x^3 + x + 1)y = -x^2 - x\) |
$\mathrm{USp}(4)$ |
✓ |
|
1 |
| 588.a.18816.1 |
588.a |
\(y^2 + (x^3 + 1)y = x^5 + x^4 + 5x^2 + 12x + 8\) |
$G_{3,3}$ |
|
✓ |
0 |
| 597.a.597.1 |
597.a |
\(y^2 + y = x^5 + 2x^4 + 3x^3 + 2x^2 + x\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 600.a.18000.1 |
600.a |
\(y^2 + xy = 10x^5 - 18x^4 + 8x^3 + x^2 - x\) |
$G_{3,3}$ |
|
✓ |
0 |
| 600.a.96000.1 |
600.a |
\(y^2 + (x + 1)y = 4x^5 + 5x^4 + 3x^3 + 2x^2\) |
$G_{3,3}$ |
|
✓ |
0 |
| 600.b.30000.1 |
600.b |
\(y^2 + (x^3 + x)y = x^4 + x^2 - 3\) |
$G_{3,3}$ |
|
✓ |
0 |
| 600.b.450000.1 |
600.b |
\(y^2 + (x^3 + x)y = -5x^4 + 25x^2 - 45\) |
$G_{3,3}$ |
|
✓ |
0 |
| 603.a.603.1 |
603.a |
\(y^2 + (x^2 + 1)y = x^5 + 8x^4 + 4x^3 + 4x^2 + 2x\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 603.a.603.2 |
603.a |
\(y^2 + (x^2 + 1)y = x^5 - x^3 + x\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 604.a.9664.1 |
604.a |
\(y^2 + (x^2 + x + 1)y = 4x^5 + 9x^4 + 48x^3 - 4x^2 - 53x - 21\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 604.a.9664.2 |
604.a |
\(y^2 + (x^3 + 1)y = -x^4 + x^3 + x^2 - x\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 630.a.34020.1 |
630.a |
\(y^2 + (x^2 + x)y = 3x^5 + 10x^4 - 23x^2 - 6x + 15\) |
$G_{3,3}$ |
|
✓ |
0 |
| 640.a.81920.1 |
640.a |
\(y^2 + x^3y = 3x^4 + 13x^2 + 20\) |
$N(G_{1,3})$ |
|
✓ |
0 |
| 640.a.81920.2 |
640.a |
\(y^2 + x^3y = -3x^4 + 13x^2 - 20\) |
$N(G_{1,3})$ |
|
✓ |
0 |
| 644.a.2576.1 |
644.a |
\(y^2 + (x^2 + x)y = -5x^6 + 11x^5 - 20x^4 + 20x^3 - 20x^2 + 11x - 5\) |
$G_{3,3}$ |
|
✓ |
0 |
| 644.a.659456.1 |
644.a |
\(y^2 + (x^2 + x)y = -3x^6 - 13x^5 + 4x^4 + 51x^3 + 4x^2 - 13x - 3\) |
$G_{3,3}$ |
|
✓ |
0 |
| 644.b.14812.1 |
644.b |
\(y^2 + (x^3 + 1)y = x^5 - x^4 - 4x^3 + 5x^2 - x - 1\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 672.a.172032.1 |
672.a |
\(y^2 + (x^3 + x)y = -x^6 - 16x^4 - 75x^2 + 56\) |
$G_{3,3}$ |
|
✓ |
0 |
| 676.a.5408.1 |
676.a |
\(y^2 + (x^3 + x^2 + x)y = x^3 + 3x^2 + 3x + 1\) |
$G_{3,3}$ |
|
✓ |
0 |
| 676.a.562432.1 |
676.a |
\(y^2 + (x^3 + 1)y = 2x^5 + 2x^4 + 4x^3 + 2x^2 + 2x\) |
$G_{3,3}$ |
|
✓ |
0 |
| 676.b.17576.1 |
676.b |
\(y^2 + (x^2 + x)y = -x^6 + 3x^5 - 6x^4 + 6x^3 - 6x^2 + 3x - 1\) |
$E_1$ |
|
|
0 |
| 686.a.686.1 |
686.a |
\(y^2 + (x^2 + x)y = x^5 + x^4 + 2x^3 + x^2 + x\) |
$N(G_{1,3})$ |
|
✓ |
0 |
| 688.a.2752.1 |
688.a |
\(y^2 + y = 2x^5 - 5x^4 + 4x^3 - x\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 688.a.704512.2 |
688.a |
\(y^2 = 2x^5 - 7x^4 - 8x^3 + 2x^2 + 4x + 1\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 688.a.704512.1 |
688.a |
\(y^2 = 2x^5 + 4x^3 + x^2 + 2x + 1\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 691.a.691.1 |
691.a |
\(y^2 + (x + 1)y = x^5 - x^3 - x^2\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 704.a.45056.1 |
704.a |
\(y^2 + y = 4x^5 + 4x^4 - x^3 - 2x^2\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 708.a.2832.1 |
708.a |
\(y^2 + (x^2 + x + 1)y = x^5\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 708.a.19116.1 |
708.a |
\(y^2 + (x^3 + 1)y = -x^5 + 4x^2 + 4x - 1\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 708.a.181248.1 |
708.a |
\(y^2 + (x^3 + 1)y = -x^6 - 4x^5 + 9x^4 + 48x^3 - 41x^2 - 98x - 36\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 709.a.709.1 |
709.a |
\(y^2 + xy = x^5 - 2x^2 + x\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 713.a.713.1 |
713.a |
\(y^2 + (x^3 + x + 1)y = -x^5 - x\) |
$\mathrm{USp}(4)$ |
✓ |
|
1 |
| 713.b.713.1 |
713.b |
\(y^2 + (x^3 + x + 1)y = -x^4\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 720.a.6480.1 |
720.a |
\(y^2 + (x^3 + x)y = 2x^4 + 7x^2 + 5\) |
$G_{3,3}$ |
|
✓ |
0 |
| 720.b.116640.1 |
720.b |
\(y^2 + (x^3 + x)y = -6x^4 + 39x^2 - 90\) |
$G_{3,3}$ |
|
✓ |
0 |
| 726.a.1452.1 |
726.a |
\(y^2 + (x^2 + 1)y = 2x^5 + 2x^4 + 6x^3 - 2x^2 - x\) |
$G_{3,3}$ |
|
✓ |
0 |
| 731.a.12427.1 |
731.a |
\(y^2 + (x^3 + x^2)y = x^5 + 2x^4 - x - 3\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 741.a.28899.1 |
741.a |
\(y^2 + (x + 1)y = -3x^5 - x^4 + 2x^2 + x\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 743.a.743.1 |
743.a |
\(y^2 + (x^3 + x + 1)y = -x^4 + x^2\) |
$\mathrm{USp}(4)$ |
✓ |
|
1 |
| 745.a.745.1 |
745.a |
\(y^2 + (x^3 + x + 1)y = -x\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 762.a.3048.1 |
762.a |
\(y^2 + (x^3 + x^2 + x)y = x^2 + x + 1\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
