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| Label | Class | Equation | Sato-Tate | \(\overline{\Q}\)-simple | \(\GL_2\) | Rank* |
|---|---|---|---|---|---|---|
| 336.a.172032.1 | 336.a | \(y^2 + (x^3 + x)y = -x^6 + 15x^4 - 75x^2 - 56\) | $G_{3,3}$ | ✓ | 0 | |
| 400.a.409600.1 | 400.a | \(y^2 = x^6 + 4x^4 + 4x^2 + 1\) | $E_1$ | 0 | ||
| 574.a.293888.1 | 574.a | \(y^2 + (x^2 + x)y = x^5 - x^4 - 3x^2 + x + 1\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 576.b.147456.1 | 576.b | \(y^2 = x^6 + 2x^4 + 2x^2 + 1\) | $E_1$ | 0 | ||
| 600.b.450000.1 | 600.b | \(y^2 + (x^3 + x)y = -5x^4 + 25x^2 - 45\) | $G_{3,3}$ | ✓ | 0 | |
| 644.a.659456.1 | 644.a | \(y^2 + (x^2 + x)y = -3x^6 - 13x^5 + 4x^4 + 51x^3 + 4x^2 - 13x - 3\) | $G_{3,3}$ | ✓ | 0 | |
| 672.a.172032.1 | 672.a | \(y^2 + (x^3 + x)y = -x^6 - 16x^4 - 75x^2 + 56\) | $G_{3,3}$ | ✓ | 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 | |
| 688.a.704512.1 | 688.a | \(y^2 = 2x^5 + 4x^3 + x^2 + 2x + 1\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 708.a.181248.1 | 708.a | \(y^2 + (x^3 + 1)y = -x^6 - 4x^5 + 9x^4 + 48x^3 - 41x^2 - 98x - 36\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 720.b.116640.1 | 720.b | \(y^2 + (x^3 + x)y = -6x^4 + 39x^2 - 90\) | $G_{3,3}$ | ✓ | 0 | |
| 784.c.614656.1 | 784.c | \(y^2 = x^5 - 4x^4 - 13x^3 - 9x^2 - x\) | $E_3$ | ✓ | 0 | |
| 800.a.409600.1 | 800.a | \(y^2 = x^6 - 2x^2 + 1\) | $G_{3,3}$ | ✓ | 0 | |
| 810.a.196830.1 | 810.a | \(y^2 + (x + 1)y = x^5 + 15x^4 + 20x^3 - 297x^2 + 94x - 8\) | $N(G_{1,3})$ | ✓ | 0 | |
| 830.a.830000.1 | 830.a | \(y^2 + (x^2 + x)y = x^5 - 2x^4 + 16x^3 + 8x^2 + x\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 847.d.456533.1 | 847.d | \(y^2 + y = -x^6 - 9x^5 - 22x^4 + 3x^3 + 37x^2 - 24x + 4\) | $G_{3,3}$ | ✓ | 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 | |
| 880.a.225280.1 | 880.a | \(y^2 = x^5 + 13x^4 + 55x^3 + 76x^2 - 44\) | $G_{3,3}$ | ✓ | 0 | |
| 882.a.302526.1 | 882.a | \(y^2 + (x^3 + 1)y = x^5 - 2x^4 - 5x^3 + 11x^2 - 12x + 5\) | $G_{3,3}$ | ✓ | 0 | |
| 960.a.245760.1 | 960.a | \(y^2 = 2x^5 + x^4 + 4x^3 + x^2 + 2x\) | $G_{3,3}$ | ✓ | 0 | |
| 960.a.368640.1 | 960.a | \(y^2 = x^5 + 13x^4 + 44x^3 + 13x^2 + x\) | $G_{3,3}$ | ✓ | 0 | |
| 960.a.983040.1 | 960.a | \(y^2 = x^5 - 2x^4 - x^3 - 2x^2 + x\) | $G_{3,3}$ | ✓ | 0 | |
| 961.a.923521.1 | 961.a | \(y^2 + (x^3 + x^2 + 1)y = -5x^4 + 4x^3 + 3x^2 - 2x - 3\) | $G_{3,3}$ | ✓ | ✓ | 0 |
| 966.a.834624.1 | 966.a | \(y^2 + (x^2 + x)y = x^5 - x^4 + x^3 + x^2 - x + 1\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 968.a.234256.1 | 968.a | \(y^2 + x^3y = 6x^4 + 47x^2 + 121\) | $G_{3,3}$ | ✓ | 1 | |
| 976.a.999424.1 | 976.a | \(y^2 + (x + 1)y = x^6 - 2x^5 + 2x^3 - x^2\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 980.a.878080.1 | 980.a | \(y^2 + (x^3 + 1)y = -x^6 + x^5 - 4x^4 + 2x^3 - 4x^2 + x - 1\) | $G_{3,3}$ | ✓ | 0 | |
| 990.a.240570.1 | 990.a | \(y^2 + (x^2 + x)y = 3x^5 + 28x^4 + 72x^3 + 28x^2 + 3x\) | $G_{3,3}$ | ✓ | 0 | |
| 1050.a.131250.1 | 1050.a | \(y^2 + (x^2 + x)y = 3x^6 + 8x^5 + 15x^4 + 17x^3 + 15x^2 + 8x + 3\) | $G_{3,3}$ | ✓ | 0 | |
| 1083.b.390963.1 | 1083.b | \(y^2 + y = -x^6 + 3x^5 - 50x^4 + 95x^3 - 14x^2 - 33x - 6\) | $G_{3,3}$ | ✓ | 0 | |
| 1104.b.141312.1 | 1104.b | \(y^2 + (x^3 + x)y = -x^6 - 3x^4 + 29x^2 - 46\) | $G_{3,3}$ | ✓ | 0 | |
| 1116.a.214272.1 | 1116.a | \(y^2 + (x^3 + 1)y = x^4 + 2x^3 + x^2 - x\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1125.a.151875.1 | 1125.a | \(y^2 + xy = 15x^5 + 50x^4 + 55x^3 + 22x^2 + 3x\) | $G_{3,3}$ | ✓ | 0 | |
| 1136.a.290816.1 | 1136.a | \(y^2 + (x^3 + x^2)y = -5x^4 - 9x^3 + 25x^2 + 40x - 24\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1145.a.143125.1 | 1145.a | \(y^2 + (x^3 + x^2 + x)y = 2x^4 + 4x^3 + 9x^2 + 10x + 9\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 1152.a.147456.1 | 1152.a | \(y^2 = x^6 - 2x^4 + 2x^2 - 1\) | $J(E_1)$ | ✓ | 0 | |
| 1164.b.670464.1 | 1164.b | \(y^2 + (x^2 + x + 1)y = 2x^5 - 2x^4 + x^3 - x^2\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1184.a.606208.2 | 1184.a | \(y^2 = x^6 - 2x^5 + 5x^4 - 4x^3 + 6x^2 - 2x + 2\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1184.a.606208.1 | 1184.a | \(y^2 = 2x^5 + x^4 - 8x^3 - 8x^2 - 2x\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1197.a.410571.1 | 1197.a | \(y^2 + (x^2 + 1)y = x^5 + 12x^4 - 7x^3 - 3x^2 + x\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1200.a.450000.1 | 1200.a | \(y^2 + (x^3 + x)y = 4x^4 + 25x^2 + 45\) | $G_{3,3}$ | ✓ | 0 | |
| 1269.b.102789.1 | 1269.b | \(y^2 + (x^3 + x)y = -2x^6 - x^5 - 21x^4 - 8x^3 - 80x^2 - 16x - 103\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1269.b.102789.2 | 1269.b | \(y^2 + xy = x^5 - x^4 + x^2 + x\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1270.a.325120.1 | 1270.a | \(y^2 + (x^2 + x)y = x^5 + 17x^4 + 76x^3 + 14x^2 - 32x + 3\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1272.a.122112.1 | 1272.a | \(y^2 + (x^2 + 1)y = 3x^5 + 4x^4 + 2x^3 - x^2 - x\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1300.a.130000.1 | 1300.a | \(y^2 + (x^3 + x)y = 2x^4 + 9x^2 + 13\) | $G_{3,3}$ | ✓ | 1 | |
| 1311.a.814131.1 | 1311.a | \(y^2 + xy = x^5 + 5x^4 + 5x^3 + 4x^2 + x\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1312.c.671744.1 | 1312.c | \(y^2 + (x + 1)y = x^6 + 4x^5 + 7x^4 + 5x^3 + 2x^2\) | $\mathrm{USp}(4)$ | ✓ | 0 |
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