| Label |
Class |
Equation |
Sato-Tate |
\(\overline{\Q}\)-simple |
\(\GL_2\) |
Rank* |
| 169.a.169.1 |
169.a |
\(y^2 + (x^3 + x + 1)y = x^5 + x^4\) |
$E_6$ |
|
✓ |
0 |
| 196.a.21952.1 |
196.a |
\(y^2 + (x^2 + x)y = x^6 + 3x^5 + 6x^4 + 7x^3 + 6x^2 + 3x + 1\) |
$E_1$ |
|
|
0 |
| 249.a.249.1 |
249.a |
\(y^2 + (x^3 + 1)y = x^2 + x\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 249.a.6723.1 |
249.a |
\(y^2 + (x^3 + 1)y = -x^5 + x^3 + x^2 + 3x + 2\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 256.a.512.1 |
256.a |
\(y^2 + y = 2x^5 - 3x^4 + x^3 + x^2 - x\) |
$E_4$ |
|
✓ |
0 |
| 277.a.277.1 |
277.a |
\(y^2 + (x^3 + x^2 + x + 1)y = -x^2 - x\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 277.a.277.2 |
277.a |
\(y^2 + y = x^5 - 9x^4 + 14x^3 - 19x^2 + 11x - 6\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 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 |
| 295.a.295.1 |
295.a |
\(y^2 + (x^3 + 1)y = -x^2\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 295.a.295.2 |
295.a |
\(y^2 + (x^2 + x + 1)y = x^5 - 40x^3 + 22x^2 + 389x - 608\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 324.a.648.1 |
324.a |
\(y^2 + (x^3 + x + 1)y = x^5 + 2x^4 + 2x^3 + x^2\) |
$E_3$ |
|
✓ |
0 |
| 336.a.172032.1 |
336.a |
\(y^2 + (x^3 + x)y = -x^6 + 15x^4 - 75x^2 - 56\) |
$G_{3,3}$ |
|
✓ |
0 |
| 349.a.349.1 |
349.a |
\(y^2 + (x^3 + x^2 + x + 1)y = -x^3 - x^2\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 353.a.353.1 |
353.a |
\(y^2 + (x^3 + x + 1)y = x^2\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 360.a.6480.1 |
360.a |
\(y^2 + (x^3 + x)y = -3x^4 + 7x^2 - 5\) |
$G_{3,3}$ |
|
✓ |
0 |
| 363.a.11979.1 |
363.a |
\(y^2 + (x^2 + 1)y = x^5 + 2x^3 + 4x^2 + 2x\) |
$G_{3,3}$ |
|
✓ |
0 |
| 363.a.43923.1 |
363.a |
\(y^2 + x^2y = 11x^5 - 13x^4 - 7x^3 + 10x^2 + x - 2\) |
$G_{3,3}$ |
|
✓ |
0 |
| 388.a.776.1 |
388.a |
\(y^2 + (x^3 + x + 1)y = -x^4 + 2x^2 + x\) |
$\mathrm{USp}(4)$ |
✓ |
|
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 |
| 394.a.394.1 |
394.a |
\(y^2 + (x^3 + x)y = 2x^5 + x^4 - 12x^3 + 17x - 9\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 394.a.3152.1 |
394.a |
\(y^2 + (x + 1)y = -x^5\) |
$\mathrm{USp}(4)$ |
✓ |
|
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 |
| 448.a.448.1 |
448.a |
\(y^2 + (x^3 + x)y = x^4 - 7\) |
$N(G_{1,3})$ |
|
✓ |
0 |
| 450.a.2700.1 |
450.a |
\(y^2 + (x^3 + 1)y = x^5 + 3x^4 + 3x^3 + 3x^2 + x\) |
$G_{3,3}$ |
|
✓ |
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 |
| 461.a.461.1 |
461.a |
\(y^2 + x^3y = x^5 - 3x^3 + 3x - 2\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 461.a.461.2 |
461.a |
\(y^2 + y = x^5 - x^4 - 39x^3 + 10x^2 + 272x - 306\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 464.a.464.1 |
464.a |
\(y^2 + (x + 1)y = -x^6 - 2x^5 - 2x^4 - x^3\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 464.a.29696.1 |
464.a |
\(y^2 + (x + 1)y = 8x^5 + 3x^4 - 4x^3 - 2x^2\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 464.a.29696.2 |
464.a |
\(y^2 + xy = 4x^5 + 33x^4 + 72x^3 + 16x^2 + x\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 472.a.944.1 |
472.a |
\(y^2 + (x^2 + 1)y = x^5 - x^4 - 2x^3 + x\) |
$\mathrm{USp}(4)$ |
✓ |
|
0 |
| 472.a.60416.1 |
472.a |
\(y^2 + (x + 1)y = 8x^5 + 5x^4 + 4x^3 + 2x^2\) |
$\mathrm{USp}(4)$ |
✓ |
|
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 |
