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Results (displaying matches 1-50 of at least 1000) Next
| Label | Class | Equation | Sato-Tate | \(\overline{\Q}\)-simple | \(\GL_2\) | Rank* |
|---|---|---|---|---|---|---|
| 100000.a.200000.1 | 100000.a | \(y^2 + y = 2x^5 + 5x^3 - 10x^2 + 5x - 1\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 100010.a.400040.1 | 100010.a | \(y^2 + (x^3 + 1)y = -x^6 + x^5 + 2x^4 + x^3 - 10x^2 + 2x + 5\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 100017.a.300051.1 | 100017.a | \(y^2 + (x^3 + x + 1)y = x^3 + x - 1\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 100035.a.300105.1 | 100035.a | \(y^2 + (x^3 + x + 1)y = -x^4 + x^3 - x^2 - 2x + 2\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 100035.b.300105.1 | 100035.b | \(y^2 + (x^3 + 1)y = x^5 - 3x^4 - 5x^3 + 11x^2 - 5\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 100036.a.200072.1 | 100036.a | \(y^2 + (x^3 + x^2 + 1)y = x^5 - 8x^3 - x^2 + 12x - 6\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 100051.a.700357.1 | 100051.a | \(y^2 + y = 7x^5 - 4x^4 + 2x^2 - x\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 100059.a.100059.1 | 100059.a | \(y^2 + xy = x^5 - x^3 - x\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 100069.a.100069.1 | 100069.a | \(y^2 + x^3y = x^5 + x^4 + 2x^3 + x - 1\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 100076.a.200152.1 | 100076.a | \(y^2 + (x^3 + x + 1)y = -6x^4 + 10x^3 - 2x^2\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 100082.a.800656.1 | 100082.a | \(y^2 + (x^3 + x)y = -7x^4 + 26x^2 - 29x + 9\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 100089.a.100089.1 | 100089.a | \(y^2 + (x^3 + x + 1)y = -x^5 + x^4 - 2x^2 + x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 100096.a.100096.1 | 100096.a | \(y^2 = x^5 - 2x^4 - 3x^3 - 7x^2 - 7x - 2\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 100096.b.100096.1 | 100096.b | \(y^2 = x^5 - 9x^3 + 5x^2 + 21x - 20\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 100096.c.100096.1 | 100096.c | \(y^2 = x^5 - 9x^3 - 5x^2 + 21x + 20\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 100109.a.100109.1 | 100109.a | \(y^2 + y = x^5 + 2x^4 + 3x^3 + x^2 + x\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 100121.a.100121.1 | 100121.a | \(y^2 + (x^3 + x + 1)y = x^5 - 2x^2\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 100121.b.700847.1 | 100121.b | \(y^2 + (x^3 + x + 1)y = -x^4 + 3x^2 + 6x + 4\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 100124.a.400496.1 | 100124.a | \(y^2 + (x^2 + x)y = x^5 - 2x^4 + 2x^2 - 2x\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 100128.a.801024.1 | 100128.a | \(y^2 + (x^2 + 1)y = 4x^5 - x^4 - 13x^3 - 2x^2 + 7x - 2\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 100130.a.200260.1 | 100130.a | \(y^2 + (x^2 + x + 1)y = x^6 + 5x^5 + 6x^4 + x^2 + x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 100152.a.600912.1 | 100152.a | \(y^2 + y = x^6 - 2x^5 - 6x^4 - 4x^3 + x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 100154.a.200308.1 | 100154.a | \(y^2 + (x + 1)y = x^6 + x^5 + 2x^4 + 3x^3 + x^2\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 100154.b.200308.1 | 100154.b | \(y^2 + (x + 1)y = x^5 + x^3 - 5x^2 + 3x - 1\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 100162.a.100162.1 | 100162.a | \(y^2 + (x^3 + 1)y = x^5 - 2x^4 - 9x^3 + 8x^2 + 20x - 20\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 100162.b.400648.1 | 100162.b | \(y^2 + (x^2 + x)y = x^5 - 4x^4 + 4x^2 + 5x + 2\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 100224.a.601344.1 | 100224.a | \(y^2 = x^5 + 2x^4 + 4x^3 + 2x^2 + x - 1\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 100224.b.601344.1 | 100224.b | \(y^2 = x^5 + x^4 - 2x^3 + 4x^2 - 2x + 1\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 100227.a.902043.1 | 100227.a | \(y^2 + y = x^5 + x^4 + 23x^2 + 57x + 36\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 100234.a.801872.1 | 100234.a | \(y^2 + (x^3 + x)y = x^5 - x^4 - 5x^3 - x^2 + 5x - 3\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 100240.a.400960.1 | 100240.a | \(y^2 + x^3y = x^5 - x^4 - 5x^3 + 6x^2 + 10x - 15\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 100261.a.100261.1 | 100261.a | \(y^2 + (x + 1)y = x^5 - 16x^4 - x^3 + 7x^2 - 3x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 100261.b.100261.1 | 100261.b | \(y^2 + xy = x^5 - x^4 + 3x^2 - 5x + 2\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 100277.a.100277.1 | 100277.a | \(y^2 + (x^3 + x^2 + 1)y = 2x^4 + 3x^3 - x^2 - x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 100277.b.100277.1 | 100277.b | \(y^2 + y = x^5 + x^4 - 19x^3 - 11x^2 + 92x + 13\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 100277.c.100277.1 | 100277.c | \(y^2 + y = x^5 - 4x^4 + 4x^2 - 2x\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 100278.a.200556.1 | 100278.a | \(y^2 + x^2y = 2x^5 + 9x^4 + x^3 - 21x^2 + 15x - 3\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 100283.a.100283.1 | 100283.a | \(y^2 + (x^2 + 1)y = x^5 - x^4 - x^3 - x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 100293.a.902637.1 | 100293.a | \(y^2 + (x^3 + x + 1)y = -x^6 + x^5 - 5x^4 + 3x^3 - 7x^2 + 2x - 2\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 100309.a.100309.1 | 100309.a | \(y^2 + xy = x^5 + 2x^3 - 3x^2 + x\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 100312.a.200624.1 | 100312.a | \(y^2 + (x^2 + 1)y = -x^6 - 2x^5 + x^4 + 3x^3 - x - 1\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 100315.a.501575.1 | 100315.a | \(y^2 + (x^3 + x + 1)y = 2x^5 + 3x^4 + x^3 + 2x^2 - 5x + 1\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 100317.a.702219.1 | 100317.a | \(y^2 + (x^2 + 1)y = x^5 - 10x^3 - 10x^2 + 28x + 38\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 100325.a.100325.1 | 100325.a | \(y^2 + x^2y = x^5 - 2x^4 + 4x^3 - 4x^2 + 3x - 1\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 100325.b.100325.1 | 100325.b | \(y^2 + (x^2 + x + 1)y = -x^5 + 3x^4 - 10x^2 + 2x + 8\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 100341.a.100341.1 | 100341.a | \(y^2 + y = x^5 - x^4 - 4x^3 - 5x^2 - 3x - 1\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 100352.a.100352.1 | 100352.a | \(y^2 = x^5 - x^4 + x^2 + x\) | $N(G_{3,3})$ | 0 | ||
| 100352.b.100352.1 | 100352.b | \(y^2 = x^5 + x^4 - 5x^3 - 2x^2 + 4x - 1\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 100352.c.100352.1 | 100352.c | \(y^2 = x^5 - 9x^3 + 7x^2 + 14x - 14\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 100352.d.100352.1 | 100352.d | \(y^2 = x^5 - x^4 - 4x^3 + 3x^2 + 4x - 2\) | $\mathrm{USp}(4)$ | ✓ | 1 |
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