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| 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 | ||
| 324.a.648.1 | 324.a | \(y^2 + (x^3 + x + 1)y = x^5 + 2x^4 + 2x^3 + x^2\) | $E_3$ | ✓ | 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 | ||
| 784.c.614656.1 | 784.c | \(y^2 = x^5 - 4x^4 - 13x^3 - 9x^2 - x\) | $E_3$ | ✓ | 0 | |
| 1296.a.20736.1 | 1296.a | \(y^2 = x^5 - x^4 - 3x^3 + 4x^2 - x\) | $E_3$ | ✓ | 0 | |
| 2187.a.6561.1 | 2187.a | \(y^2 + (x^3 + 1)y = -1\) | $J(E_3)$ | 0 | ||
| 2704.a.43264.1 | 2704.a | \(y^2 = x^5 - 5x^3 - 5x^2 - x\) | $E_6$ | ✓ | 0 | |
| 2916.a.5832.1 | 2916.a | \(y^2 + (x^3 + 1)y = x^3\) | $J(E_1)$ | ✓ | 0 | |
| 3721.a.3721.1 | 3721.a | \(y^2 + (x^3 + x + 1)y = -x^4 + x^3 + 3x^2 + x\) | $E_6$ | ✓ | 2 | |
| 3969.b.35721.1 | 3969.b | \(y^2 + (x^3 + x + 1)y = -2x^5 + 3x^4 - 3x^2\) | $E_6$ | ✓ | 2 | |
| 3969.c.35721.1 | 3969.c | \(y^2 + (x^2 + x)y = x^5 - 5x^4 + 4x^3 - x\) | $E_6$ | ✓ | 0 | |
| 5184.a.46656.1 | 5184.a | \(y^2 + x^3y = x^3 + 2\) | $J(C_2)$ | ✓ | 0 | |
| 6075.a.18225.1 | 6075.a | \(y^2 + (x^3 + 1)y = x^3 + 1\) | $J(E_6)$ | 0 | ||
| 8281.b.405769.1 | 8281.b | \(y^2 + (x^3 + x + 1)y = -3x^5 + 9x^4 - 7x^3 - 2x^2 + x\) | $E_6$ | ✓ | 2 | |
| 8281.c.405769.1 | 8281.c | \(y^2 + (x^2 + x)y = x^5 + 8x^4 + 11x^3 + 3x^2 - x\) | $E_6$ | ✓ | 0 | |
| 8649.b.700569.1 | 8649.b | \(y^2 + (x^2 + x)y = 9x^5 + 2x^4 - 21x^3 - 22x^2 - 8x - 1\) | $E_6$ | ✓ | 0 | |
| 8649.c.700569.1 | 8649.c | \(y^2 + (x^2 + x)y = x^5 + 9x^4 + 13x^3 + 4x^2 - x\) | $E_6$ | ✓ | 0 | |
| 11881.a.11881.1 | 11881.a | \(y^2 + (x^2 + x)y = x^5 - 3x^4 + 2x^2 - x\) | $E_6$ | ✓ | 0 | |
| 12321.a.36963.1 | 12321.a | \(y^2 + (x^3 + x + 1)y = x^5 + 3x^4 + 4x^3 + 2x^2\) | $E_6$ | ✓ | 2 | |
| 12544.a.12544.1 | 12544.a | \(y^2 = x^5 + 2x^4 - x^3 - 3x^2 - x\) | $E_6$ | ✓ | 0 | |
| 12544.c.12544.1 | 12544.c | \(y^2 = x^5 - 2x^4 - x^3 + 3x^2 - x\) | $E_6$ | ✓ | 0 | |
| 12544.i.614656.1 | 12544.i | \(y^2 = x^5 + 4x^4 - 13x^3 + 9x^2 - x\) | $E_3$ | ✓ | 0 | |
| 13689.a.13689.1 | 13689.a | \(y^2 + (x^3 + x + 1)y = x^5 - x^4 - 4x^3 - 2x^2\) | $E_6$ | ✓ | 2 | |
| 13689.b.13689.1 | 13689.b | \(y^2 + (x^2 + x)y = x^5 + 3x^4 + x^3 - 2x^2 - x\) | $E_6$ | ✓ | 0 | |
| 15552.c.746496.1 | 15552.c | \(y^2 + x^3y = 3x^3 + 8\) | $J(E_6)$ | 0 | ||
| 15876.b.222264.1 | 15876.b | \(y^2 + (x^3 + x + 1)y = -x^6 + 2x^5 - 4x^4 + 4x^3 - 5x^2 + 2x - 1\) | $E_3$ | ✓ | 0 | |
| 17689.a.17689.1 | 17689.a | \(y^2 + (x^2 + x)y = x^5 - 4x^4 + 2x^3 + x^2 - x\) | $E_6$ | ✓ | 0 | |
| 17689.b.17689.1 | 17689.b | \(y^2 + (x^3 + x + 1)y = -3x^4 - 3x^3 + x^2 + x\) | $E_6$ | ✓ | 2 | |
| 18225.a.18225.1 | 18225.a | \(y^2 + (x^3 + 1)y = 1\) | $J(E_6)$ | 1 | ||
| 20736.a.20736.1 | 20736.a | \(y^2 = x^5 + x^4 - 3x^3 - 4x^2 - x\) | $E_3$ | ✓ | 0 | |
| 20736.f.186624.1 | 20736.f | \(y^2 = x^5 - 2x^4 - 9x^3 - 7x^2 - x\) | $E_6$ | ✓ | 0 | |
| 20736.g.186624.1 | 20736.g | \(y^2 = x^5 + 2x^4 - 9x^3 + 7x^2 - x\) | $E_6$ | ✓ | 0 | |
| 21316.a.42632.1 | 21316.a | \(y^2 + (x^3 + x + 1)y = 3x^3 + 4x^2 + x\) | $E_6$ | ✓ | 2 | |
| 21904.e.350464.1 | 21904.e | \(y^2 = x^5 + 3x^4 - 11x^3 + 8x^2 - x\) | $E_6$ | ✓ | 0 | |
| 24649.a.24649.1 | 24649.a | \(y^2 + (x^2 + x)y = x^5 + 4x^4 + 3x^3 - x^2 - x\) | $E_6$ | ✓ | 0 | |
| 26244.c.157464.1 | 26244.c | \(y^2 + (x^3 + 1)y = 2x^3\) | $J(E_1)$ | ✓ | 0 | |
| 26244.d.314928.1 | 26244.d | \(y^2 + y = x^6 - 2x^3\) | $J(E_3)$ | 1 | ||
| 26244.e.472392.1 | 26244.e | \(y^2 + (x^3 + 1)y = 2\) | $J(E_3)$ | 0 | ||
| 32761.a.32761.1 | 32761.a | \(y^2 + (x^3 + x + 1)y = x^5 + 10x^2 + 19x + 10\) | $E_6$ | ✓ | 2 | |
| 37636.a.602176.1 | 37636.a | \(y^2 + (x^3 + x + 1)y = x^5 + 4x^4 + 6x^3 + 3x^2\) | $E_6$ | ✓ | 2 | |
| 38416.a.614656.1 | 38416.a | \(y^2 = x^6 - 3x^5 - x^4 + 7x^3 - x^2 - 3x + 1\) | $E_1$ | 2 | ||
| 43264.c.43264.1 | 43264.c | \(y^2 = x^5 - 5x^3 + 5x^2 - x\) | $E_6$ | ✓ | 0 | |
| 46656.c.93312.1 | 46656.c | \(y^2 + x^3y = x^3 - 1\) | $J(E_6)$ | 1 | ||
| 48841.b.830297.1 | 48841.b | \(y^2 + (x^3 + x + 1)y = -x^6 + 2x^5 - 5x^4 + 6x^3 - 6x^2 + 2x - 1\) | $E_6$ | ✓ | 0 | |
| 52441.a.52441.1 | 52441.a | \(y^2 + (x^2 + x)y = x^5 + 5x^4 + 5x^3 - x\) | $E_6$ | ✓ | 0 | |
| 59049.a.177147.1 | 59049.a | \(y^2 + (x^3 + 1)y = x^3 - 1\) | $J(E_3)$ | 1 | ||
| 62208.n.746496.1 | 62208.n | \(y^2 = x^6 - 3x^3 + 2\) | $J(E_6)$ | 0 | ||
| 72900.a.291600.1 | 72900.a | \(y^2 + y = x^6 - 2x^3 + 1\) | $J(E_6)$ | 1 | ||
| 72900.b.291600.1 | 72900.b | \(y^2 + x^3y = 2x^3 + 5\) | $J(E_6)$ | 0 |