| Label |
Class |
Equation |
Sato-Tate |
\(\overline{\Q}\)-simple |
\(\GL_2\) |
Rank* |
| 294.a.294.1 |
294.a |
\(y^2 + (x^3 + 1)y = x^4 + x^2\) |
$G_{3,3}$ |
|
✓ |
0 |
| 294.a.8232.1 |
294.a |
\(y^2 + (x^3 + 1)y = -2x^4 + 4x^2 - 9x - 14\) |
$G_{3,3}$ |
|
✓ |
0 |
| 353.a.353.1 |
353.a |
\(y^2 + (x^3 + x + 1)y = x^2\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 389.a.389.1 |
389.a |
\(y^2 + (x^3 + x)y = x^5 - 2x^4 - 8x^3 + 16x + 7\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 389.a.389.2 |
389.a |
\(y^2 + (x + 1)y = x^5 + 2x^4 + 2x^3 + x^2\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 400.a.409600.1 |
400.a |
\(y^2 = x^6 + 4x^4 + 4x^2 + 1\) |
$E_1$ |
|
|
0 |
| 427.a.2989.1 |
427.a |
\(y^2 + (x^3 + 1)y = x^5 - x^4 - 5x^3 + 4x^2 + 4x - 4\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 448.a.448.2 |
448.a |
\(y^2 + (x^3 + x)y = -2x^4 + 7\) |
$N(G_{1,3})$ |
|
✓ |
0 |
| 450.a.36450.1 |
450.a |
\(y^2 + (x^3 + 1)y = x^5 - 4x^4 - 9x^3 + 28x^2 - 6x - 16\) |
$G_{3,3}$ |
|
✓ |
0 |
| 476.a.952.1 |
476.a |
\(y^2 + (x^3 + 1)y = -5x^4 + 7x^3 + 25x^2 - 75x + 54\) |
$G_{3,3}$ |
|
✓ |
0 |
| 484.a.1936.1 |
484.a |
\(y^2 + y = x^6 + 2x^4 + x^2\) |
$G_{3,3}$ |
|
✓ |
0 |
| 523.a.523.1 |
523.a |
\(y^2 + (x + 1)y = x^5 - x^4 - x^3\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 529.a.529.1 |
529.a |
\(y^2 + (x^3 + x + 1)y = -x^5\) |
$G_{3,3}$ |
✓ |
✓ |
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 |
| 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 |
| 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 |
| 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.81920.2 |
640.a |
\(y^2 + x^3y = -3x^4 + 13x^2 - 20\) |
$N(G_{1,3})$ |
|
✓ |
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 |
| 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 |
| 688.a.704512.2 |
688.a |
\(y^2 = 2x^5 - 7x^4 - 8x^3 + 2x^2 + 4x + 1\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 691.a.691.1 |
691.a |
\(y^2 + (x + 1)y = x^5 - x^3 - x^2\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 708.a.19116.1 |
708.a |
\(y^2 + (x^3 + 1)y = -x^5 + 4x^2 + 4x - 1\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 709.a.709.1 |
709.a |
\(y^2 + xy = x^5 - 2x^2 + x\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 713.b.713.1 |
713.b |
\(y^2 + (x^3 + x + 1)y = -x^4\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 720.b.116640.1 |
720.b |
\(y^2 + (x^3 + x)y = -6x^4 + 39x^2 - 90\) |
$G_{3,3}$ |
|
✓ |
0 |
| 731.a.12427.1 |
731.a |
\(y^2 + (x^3 + x^2)y = x^5 + 2x^4 - x - 3\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 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 |
| 763.a.763.1 |
763.a |
\(y^2 + (x^3 + x)y = -2x^4 + 2x^2 - x\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 768.a.1536.1 |
768.a |
\(y^2 + y = 2x^5 - x^4 - 3x^3 + x\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 768.a.4608.1 |
768.a |
\(y^2 + (x^3 + x^2 + x + 1)y = -x^3 - x^2 - x - 1\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 784.a.1568.1 |
784.a |
\(y^2 + (x^3 + x)y = -2x^4 + 3x^2 - 2\) |
$G_{3,3}$ |
|
✓ |
0 |
| 784.b.12544.1 |
784.b |
\(y^2 + (x^3 + x)y = -1\) |
$G_{3,3}$ |
|
✓ |
0 |
| 800.a.1600.1 |
800.a |
\(y^2 + (x^3 + x^2 + x + 1)y = -x^4 - x^2\) |
$G_{3,3}$ |
|
✓ |
0 |
| 807.a.2421.1 |
807.a |
\(y^2 + (x^3 + x)y = x^5 - 2x^3 - x^2 + 2x - 1\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 816.a.13872.1 |
816.a |
\(y^2 + (x^3 + x^2)y = -2x^4 + 6x^2 - 8x + 3\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 864.a.1728.1 |
864.a |
\(y^2 + (x^3 + x^2 + x + 1)y = x^4 + x^2\) |
$N(G_{1,3})$ |
|
✓ |
0 |
| 864.a.221184.1 |
864.a |
\(y^2 + x^3y = x^5 - 4x^4 - 6x^3 + 33x^2 - 36x + 12\) |
$N(G_{1,3})$ |
|
✓ |
0 |
| 864.a.442368.1 |
864.a |
\(y^2 = x^6 - 4x^4 + 6x^2 - 3\) |
$N(G_{1,3})$ |
|
✓ |
0 |
| 882.a.63504.1 |
882.a |
\(y^2 + (x^2 + x)y = x^5 + x^4 + x^3 + 3x^2 + 3x + 1\) |
$G_{3,3}$ |
|
✓ |
0 |
| 909.a.909.1 |
909.a |
\(y^2 + (x^3 + x)y = -x^4 + x^2 - x\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 925.a.925.1 |
925.a |
\(y^2 + (x + 1)y = -x^5 + 2x^4 - x^3 - x^2\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 968.a.234256.1 |
968.a |
\(y^2 + x^3y = 6x^4 + 47x^2 + 121\) |
$G_{3,3}$ |
|
✓ |
1 |
| 970.a.1940.1 |
970.a |
\(y^2 + (x + 1)y = x^5 + x^4 + x^3 + x^2\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 975.a.63375.1 |
975.a |
\(y^2 + (x^3 + 1)y = -x^5 + x^3 + 2x^2 + x - 1\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
