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| Label | Class | Equation | Sato-Tate | \(\overline{\Q}\)-simple | \(\GL_2\) | Rank* |
|---|---|---|---|---|---|---|
| 3469.a.3469.1 | 3469.a | \(y^2 + (x^3 + x + 1)y = x^5 - x^4 - 2x^3\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 3571.a.3571.1 | 3571.a | \(y^2 + (x^3 + x + 1)y = -2x^4 + x^2 - x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 4989.a.14967.1 | 4989.a | \(y^2 + (x^3 + x + 1)y = x^5 - 2x^3 + x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 5170.b.10340.1 | 5170.b | \(y^2 + (x^3 + x^2 + x)y = -2x^2 - x + 1\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 5295.a.79425.1 | 5295.a | \(y^2 + (x^3 + x^2 + 1)y = -x^3 + 3x + 2\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 5331.a.15993.1 | 5331.a | \(y^2 + (x^3 + x + 1)y = -x^4 + x^3 + x^2 - x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 5547.b.16641.1 | 5547.b | \(y^2 + y = x^6 - 3x^5 + x^4 + 3x^3 - x^2 - x\) | $G_{3,3}$ | ✓ | 2 | |
| 5769.b.17307.1 | 5769.b | \(y^2 + (x^3 + x + 1)y = x^5 - 3x^3\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 6201.a.241839.1 | 6201.a | \(y^2 + (x^3 + 1)y = 2x^5 - 13x^3 + 21x^2 - 12x + 2\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 6291.e.56619.1 | 6291.e | \(y^2 + (x^3 + x + 1)y = 2x^4 - x^2 - x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 7004.a.28016.1 | 7004.a | \(y^2 + y = x^6 - 4x^4 - 4x^3 + x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 7389.a.22167.1 | 7389.a | \(y^2 + (x^3 + x^2 + x)y = -2x^4 + x^2 - 2x + 1\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 8204.a.32816.1 | 8204.a | \(y^2 + y = x^6 - 2x^3 + 2x^2 - x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 8212.a.32848.1 | 8212.a | \(y^2 + (x^3 + x)y = 2x^3 - x^2 - 2x + 1\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 8450.c.84500.1 | 8450.c | \(y^2 + (x^3 + 1)y = -5x^4 + 10x^3 - 5x^2\) | $G_{3,3}$ | ✓ | 2 | |
| 8452.a.16904.1 | 8452.a | \(y^2 + (x^3 + x + 1)y = x^5 - 2x^4 - 3x^3 + x^2 + x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 8588.a.34352.1 | 8588.a | \(y^2 + (x^2 + 1)y = x^6 - x^4 - x^3 + x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 8649.a.77841.1 | 8649.a | \(y^2 + (x^3 + x + 1)y = x^3 + x^2 - 2x\) | $G_{3,3}$ | ✓ | ✓ | 2 |
| 9188.a.18376.1 | 9188.a | \(y^2 + (x^3 + x + 1)y = x^4 - 2x^2 - x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 9585.a.86265.1 | 9585.a | \(y^2 + (x^3 + 1)y = -2x^4 + 3x^3 - 3x^2 + 2\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 9771.a.29313.1 | 9771.a | \(y^2 + (x^2 + x + 1)y = x^6 + x^3 - x^2 - x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 10005.b.450225.1 | 10005.b | \(y^2 + (x^3 + x + 1)y = -2x^4 + 3x^2 + x + 2\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 10996.a.43984.1 | 10996.a | \(y^2 + (x^3 + x^2 + x + 1)y = -x^4 - 2x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 11079.b.33237.1 | 11079.b | \(y^2 + (x^3 + x + 1)y = 3x^5 + 5x^4 + 2x^3\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 11529.a.726327.1 | 11529.a | \(y^2 + (x^3 + x + 1)y = -3x^4 + 5x^2\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 11751.b.105759.1 | 11751.b | \(y^2 + (x^3 + x + 1)y = -2x^4 + 3x^2 - x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 11944.a.95552.1 | 11944.a | \(y^2 + (x^3 + x)y = x^5 - 2x^3 - x^2 + x + 1\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 12105.a.181575.1 | 12105.a | \(y^2 + (x^3 + x + 1)y = -x^4 + 3x^2 + 2x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 12700.a.25400.1 | 12700.a | \(y^2 + (x^3 + x + 1)y = x^5 - 3x^3 - x^2 + x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 13006.b.832384.1 | 13006.b | \(y^2 + (x^3 + x)y = -2x^4 + 4x^2 - 3x + 1\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 13016.a.104128.1 | 13016.a | \(y^2 + (x^3 + x)y = x^3 - x^2 - x + 1\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 14724.a.88344.1 | 14724.a | \(y^2 + (x^3 + x + 1)y = -x^5 - x^4 + x^2 - x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 15256.a.122048.1 | 15256.a | \(y^2 + (x + 1)y = x^6 - x^4 + 2x^2 + x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 16034.a.32068.1 | 16034.a | \(y^2 + (x^3 + 1)y = x^5 + x^4 + x^3 + x^2 - x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 16180.a.161800.1 | 16180.a | \(y^2 + (x^3 + x + 1)y = x^5 + 4x^4 - x^2\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 16719.a.451413.1 | 16719.a | \(y^2 + (x^3 + x + 1)y = -x^4 + 3x^2 - 2x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 16767.b.452709.1 | 16767.b | \(y^2 + (x^3 + x^2 + 1)y = -x^2 - x + 2\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 17364.a.937656.1 | 17364.a | \(y^2 + (x^3 + x + 1)y = x^5 + 2x^4 - x^2 - 2x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 18080.c.723200.1 | 18080.c | \(y^2 + xy = x^6 - 2x^5 + x^3 + x^2 - 2x + 1\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 18252.a.328536.1 | 18252.a | \(y^2 + (x^3 + x + 1)y = -x^4 + 2x^3 + 2x^2 - 3x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 18624.b.446976.1 | 18624.b | \(y^2 + (x^3 + x)y = -x^4 + 4x^2 - 4x + 1\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 19881.b.536787.1 | 19881.b | \(y^2 + y = x^6 - 3x^5 + 2x^4 + x^3 - 2x^2 + x\) | $G_{3,3}$ | ✓ | 2 | |
| 20096.b.160768.1 | 20096.b | \(y^2 + (x^2 + 1)y = x^6 - 2x^4 - x^3 + x^2 + x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 20172.b.968256.1 | 20172.b | \(y^2 + (x^2 + x)y = x^6 - x^5 - 2x^4 + 4x^3 - 3x + 1\) | $G_{3,3}$ | ✓ | 2 | |
| 20532.b.123192.1 | 20532.b | \(y^2 + (x^3 + x + 1)y = 2x^6 - 3x^4 - x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 22112.b.353792.1 | 22112.b | \(y^2 + y = x^6 - 6x^4 - 9x^3 - 4x^2\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 22131.a.199179.1 | 22131.a | \(y^2 + (x^3 + x + 1)y = 2x^6 - 4x^4 + x^2 - x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 22556.a.721792.1 | 22556.a | \(y^2 + (x^3 + 1)y = 3x^3 + 2x^2 - 2x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 23412.a.140472.1 | 23412.a | \(y^2 + (x^3 + x + 1)y = 2x^4 + x^3 - 2x^2 - x\) | $\mathrm{USp}(4)$ | ✓ | 2 | |
| 24704.a.790528.1 | 24704.a | \(y^2 + x^3y = 6x^3 + 14x^2 + 12x + 4\) | $\mathrm{USp}(4)$ | ✓ | 2 |