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| Label | Class | Equation | Sato-Tate | \(\overline{\Q}\)-simple | \(\GL_2\) | Rank* |
|---|---|---|---|---|---|---|
| 1008.a.27216.1 | 1008.a | \(y^2 + (x^3 + x)y = -4x^4 + 15x^2 - 21\) | $G_{3,3}$ | ✓ | 0 | |
| 1012.a.4048.1 | 1012.a | \(y^2 + (x^3 + 1)y = x^4 + x^3 + x^2 + x\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1038.a.1038.2 | 1038.a | \(y^2 + (x^3 + 1)y = x^4 + 2x^2 + x + 1\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1038.a.1038.1 | 1038.a | \(y^2 + (x^2 + x)y = x^5 - 12x^4 + 26x^3 + 46x^2 + 21x + 3\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1042.a.1042.1 | 1042.a | \(y^2 + (x^3 + x)y = -x^4 - x^3 - x^2 + 2x + 2\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1047.a.3141.1 | 1047.a | \(y^2 + (x^3 + x)y = x\) | $\mathrm{USp}(4)$ | ✓ | 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 | |
| 1051.a.1051.1 | 1051.a | \(y^2 + y = x^5 - x^4 + x^2 - x\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 1051.b.1051.1 | 1051.b | \(y^2 + (x + 1)y = -x^5 - x^4\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1051.b.1051.2 | 1051.b | \(y^2 + xy = x^5 + 8x^4 + 16x^3 + x\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1055.a.1055.1 | 1055.a | \(y^2 + (x^3 + 1)y = -x^4 + x^2 - x - 1\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1062.a.6372.1 | 1062.a | \(y^2 + (x^3 + 1)y = x^5 - x^4 + x^2 - x\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 1069.a.1069.1 | 1069.a | \(y^2 + (x^2 + x + 1)y = x^5 + x^3\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1070.a.2140.1 | 1070.a | \(y^2 + (x^3 + 1)y = x^3 - x\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 1077.a.1077.2 | 1077.a | \(y^2 + (x^3 + 1)y = x^4 + x^3 + 2x^2 + x\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 1077.a.1077.1 | 1077.a | \(y^2 + (x^3 + 1)y = 5x^5 + 34x^4 + 80x^3 - x^2 - 90x + 32\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 1077.b.1077.1 | 1077.b | \(y^2 + x^3y = x^5 + x^4 - x - 2\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1077.b.1077.2 | 1077.b | \(y^2 + y = x^5 + 14x^4 + 38x^3 - 79x^2 + 15x - 1\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1083.a.1083.1 | 1083.a | \(y^2 + (x^3 + x^2 + x + 1)y = -x^3\) | $G_{3,3}$ | ✓ | 1 | |
| 1083.a.20577.1 | 1083.a | \(y^2 + x^3y = x^5 - 5x^4 + 11x^3 - 13x^2 + 9x - 3\) | $G_{3,3}$ | ✓ | 1 | |
| 1083.b.87723.1 | 1083.b | \(y^2 + y = -x^6 - 3x^5 - 8x^4 - 11x^3 - 14x^2 - 9x - 6\) | $G_{3,3}$ | ✓ | 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 | |
| 1088.a.1088.1 | 1088.a | \(y^2 + (x^3 + x^2 + x + 1)y = x^4 + x^3 + 2x^2 + x + 1\) | $N(G_{3,3})$ | 0 | ||
| 1088.b.2176.1 | 1088.b | \(y^2 + (x^3 + x)y = 4x^4 + 24x^2 + 34\) | $N(G_{1,3})$ | ✓ | 0 | |
| 1088.b.2176.2 | 1088.b | \(y^2 + (x^3 + x)y = -5x^4 + 24x^2 - 34\) | $N(G_{1,3})$ | ✓ | 0 | |
| 1091.a.1091.1 | 1091.a | \(y^2 + (x^2 + x + 1)y = x^5 - 2x^3 - x^2\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 1094.a.2188.1 | 1094.a | \(y^2 + (x^3 + 1)y = x^4 - x^2\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 1104.a.17664.1 | 1104.a | \(y^2 = x^5 - 2x^4 + 4x^3 - 4x^2 + 3x - 1\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1104.b.141312.1 | 1104.b | \(y^2 + (x^3 + x)y = -x^6 - 3x^4 + 29x^2 - 46\) | $G_{3,3}$ | ✓ | 0 | |
| 1109.a.1109.1 | 1109.a | \(y^2 + y = x^5 - 6x^4 - 36x^3 - 6x^2 + 63x - 36\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1109.b.1109.1 | 1109.b | \(y^2 + y = x^5 - x^4 - x^3 + x^2 + x\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1109.c.1109.1 | 1109.c | \(y^2 + (x^3 + x)y = x^5 - 2x^3 - 2x^2 - 1\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1116.a.214272.1 | 1116.a | \(y^2 + (x^3 + 1)y = x^4 + 2x^3 + x^2 - x\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1122.a.1122.1 | 1122.a | \(y^2 + (x^2 + x)y = x^5 + 7x^4 - 43x^2 + 51x - 17\) | $G_{3,3}$ | ✓ | 0 | |
| 1122.b.2244.1 | 1122.b | \(y^2 + (x^2 + x)y = x^5 + 7x^4 + 5x^3 - x^2 - x\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1123.a.1123.1 | 1123.a | \(y^2 + (x^3 + x)y = -x^4 - x^2 - x\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1125.a.151875.1 | 1125.a | \(y^2 + xy = 15x^5 + 50x^4 + 55x^3 + 22x^2 + 3x\) | $G_{3,3}$ | ✓ | 0 | |
| 1127.a.1127.1 | 1127.a | \(y^2 + (x^3 + x + 1)y = -x^4 + x^3 - x^2 - x\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 1136.a.9088.1 | 1136.a | \(y^2 + (x^3 + x)y = x^4 - x^3 + 2x^2 - x + 1\) | $\mathrm{USp}(4)$ | ✓ | 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 | |
| 1137.a.1137.1 | 1137.a | \(y^2 + (x^2 + x + 1)y = x^5 + x^4 + x^3\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1142.a.2284.1 | 1142.a | \(y^2 + (x^3 + x^2)y = -x^4 - x^3 + x^2 - x - 2\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1142.b.9136.1 | 1142.b | \(y^2 + (x + 1)y = -x^5 + 3x^4 - 6x^2 + x + 3\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1145.a.1145.1 | 1145.a | \(y^2 + (x^3 + 1)y = -3x^4 + 3x^3 - x\) | $\mathrm{USp}(4)$ | ✓ | 1 | |
| 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 | |
| 1146.a.2292.1 | 1146.a | \(y^2 + xy = x^5 + 3x^4 + 5x^3 + 4x^2 + 2x\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1147.a.35557.1 | 1147.a | \(y^2 + xy = x^5 + 8x^4 + 18x^3 + 8x^2 + x\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1147.a.35557.2 | 1147.a | \(y^2 + xy = x^5 + 6x^4 - 32x^2 + x\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1148.a.8036.1 | 1148.a | \(y^2 + (x^3 + 1)y = x^5 - x^4 - 6x^3 + x^2 + 5x - 1\) | $\mathrm{USp}(4)$ | ✓ | 0 | |
| 1148.a.47068.1 | 1148.a | \(y^2 + (x^2 + x + 1)y = x^5 + 2x^4 - 5x^3 + x\) | $\mathrm{USp}(4)$ | ✓ | 0 |
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