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Results (displaying all 17 matches)
| 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 | |
| 249.a.249.1 | 249.a | \(y^2 + (x^3 + 1)y = x^2 + x\) | $\mathrm{USp}(4)$ | ✓ | 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 | |
| 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 | |
| 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 | |
| 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 | |
| 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 | |
| 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 |