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Label Class Equation Sato-Tate \(\overline{\Q}\)-simple \(\GL_2\) Rank*
461.a.461.2 461.a \(y^2 + y = x^5 - x^4 - 39x^3 + 10x^2 + 272x - 306\) $\mathrm{USp}(4)$ 0
587.a.587.1 587.a \(y^2 + (x^3 + x + 1)y = -x^2 - x\) $\mathrm{USp}(4)$ 1
604.a.9664.1 604.a \(y^2 + (x^2 + x + 1)y = 4x^5 + 9x^4 + 48x^3 - 4x^2 - 53x - 21\) $\mathrm{USp}(4)$ 0
713.a.713.1 713.a \(y^2 + (x^3 + x + 1)y = -x^5 - x\) $\mathrm{USp}(4)$ 1
743.a.743.1 743.a \(y^2 + (x^3 + x + 1)y = -x^4 + x^2\) $\mathrm{USp}(4)$ 1
893.a.893.1 893.a \(y^2 + (x^3 + x + 1)y = -x^4 - x^2\) $\mathrm{USp}(4)$ 1
932.a.3728.1 932.a \(y^2 + y = x^6 - 2x^5 + x^4 + x^2 - x\) $\mathrm{USp}(4)$ 1
953.a.953.1 953.a \(y^2 + (x^3 + x + 1)y = x^3 + x^2\) $\mathrm{USp}(4)$ 1
961.a.961.1 961.a \(y^2 + (x^3 + x + 1)y = -x^6 - x^5 - 7x^4 + 74x^3 - 145x^2 + 99x - 33\) $G_{3,3}$ 0
971.a.971.1 971.a \(y^2 + y = x^5 - 2x^3 + x\) $\mathrm{USp}(4)$ 1
1051.a.1051.1 1051.a \(y^2 + y = x^5 - x^4 + x^2 - x\) $\mathrm{USp}(4)$ 1
1077.b.1077.2 1077.b \(y^2 + y = x^5 + 14x^4 + 38x^3 - 79x^2 + 15x - 1\) $\mathrm{USp}(4)$ 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
1094.a.2188.1 1094.a \(y^2 + (x^3 + 1)y = x^4 - x^2\) $\mathrm{USp}(4)$ 1
1109.a.1109.1 1109.a \(y^2 + y = x^5 - 6x^4 - 36x^3 - 6x^2 + 63x - 36\) $\mathrm{USp}(4)$ 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
1198.a.2396.1 1198.a \(y^2 + (x^3 + 1)y = -x\) $\mathrm{USp}(4)$ 1
1205.a.1205.1 1205.a \(y^2 + y = x^5 + 2x^4 - x^2\) $\mathrm{USp}(4)$ 1
1207.a.1207.1 1207.a \(y^2 + (x^2 + x + 1)y = -x^5 - x^4\) $\mathrm{USp}(4)$ 1
1253.a.1253.1 1253.a \(y^2 + (x^3 + x^2 + 1)y = -x^6 + 2x^5 - 33x^3 + 43x^2 + 15x - 330\) $\mathrm{USp}(4)$ 0
1253.b.1253.1 1253.b \(y^2 + (x^3 + x + 1)y = x^4 + x^2\) $\mathrm{USp}(4)$ 1
1269.a.1269.1 1269.a \(y^2 + (x^3 + x^2 + x + 1)y = x^2 + x\) $\mathrm{USp}(4)$ 1
1327.a.1327.1 1327.a \(y^2 + (x^2 + x + 1)y = x^5 + 2x^4 + x^3\) $\mathrm{USp}(4)$ 1
1343.a.1343.1 1343.a \(y^2 + (x^3 + x + 1)y = x^5 - 2x^4 - x\) $\mathrm{USp}(4)$ 1
1343.b.1343.1 1343.b \(y^2 + (x^3 + x + 1)y = -3x^4 + x^3 + 2x^2 + x\) $\mathrm{USp}(4)$ 1
1383.a.4149.1 1383.a \(y^2 + y = x^5 + x^4\) $\mathrm{USp}(4)$ 1
1385.a.6925.1 1385.a \(y^2 + y = x^5 + 3x^4 + 3x^3 - x\) $\mathrm{USp}(4)$ 1
1397.a.1397.1 1397.a \(y^2 + y = x^5 - x^3\) $\mathrm{USp}(4)$ 1
1403.a.1403.1 1403.a \(y^2 + y = x^5 + x^4 - x^3 - x^2\) $\mathrm{USp}(4)$ 1
1468.a.2936.1 1468.a \(y^2 + (x^3 + x + 1)y = -x^5 - x^2\) $\mathrm{USp}(4)$ 1
1497.a.1497.1 1497.a \(y^2 + (x^3 + x + 1)y = -x^4 + x^3 - 2x^2 + x - 1\) $\mathrm{USp}(4)$ 1
1497.b.13473.1 1497.b \(y^2 + (x^3 + x + 1)y = -2x^5 + 3x^4 - x^2\) $\mathrm{USp}(4)$ 1
1499.a.1499.1 1499.a \(y^2 + (x^3 + 1)y = -x^5 + x^2 - x\) $\mathrm{USp}(4)$ 1
1503.a.4509.1 1503.a \(y^2 + (x^3 + x + 1)y = x^5 - x^4 - 3x^3 + x\) $\mathrm{USp}(4)$ 1
1519.a.1519.1 1519.a \(y^2 + (x^3 + x + 1)y = -2x^4 + 2x^2 - x - 1\) $\mathrm{USp}(4)$ 1
1532.a.392192.1 1532.a \(y^2 + (x^2 + x + 1)y = x^5 + 7x^4 - 53x^2 + 12x - 1\) $\mathrm{USp}(4)$ 0
1544.a.3088.1 1544.a \(y^2 + (x^3 + x^2 + x + 1)y = x^2\) $\mathrm{USp}(4)$ 1
1549.a.1549.1 1549.a \(y^2 + (x^3 + x + 1)y = -x^5 + x^3 - 3x\) $\mathrm{USp}(4)$ 1
1612.a.3224.1 1612.a \(y^2 + (x^3 + x + 1)y = x^3 + 2x^2 + x\) $\mathrm{USp}(4)$ 1
1637.a.1637.1 1637.a \(y^2 + y = x^5 - x^4 + x^3 - x^2\) $\mathrm{USp}(4)$ 1
1643.a.1643.1 1643.a \(y^2 + y = x^5 + x^4 - 5x^3 + 5x^2 - 2x\) $\mathrm{USp}(4)$ 1
1647.a.1647.1 1647.a \(y^2 + (x^3 + x + 1)y = x^5\) $\mathrm{USp}(4)$ 1
1701.a.1701.1 1701.a \(y^2 + y = x^5 + 19x^4 + 86x^3 - 60x^2 + 12x - 1\) $\mathrm{USp}(4)$ 0
1706.a.3412.1 1706.a \(y^2 + (x + 1)y = x^6 - x^5 - x^4\) $\mathrm{USp}(4)$ 1
1717.b.1717.1 1717.b \(y^2 + (x^3 + x)y = -x^4 - 2x^3 - 2x^2 - x\) $\mathrm{USp}(4)$ 1
1721.a.1721.1 1721.a \(y^2 + (x^3 + 1)y = x^2 - x\) $\mathrm{USp}(4)$ 1
1753.a.1753.1 1753.a \(y^2 + (x^3 + 1)y = x^2\) $\mathrm{USp}(4)$ 1
1757.a.1757.1 1757.a \(y^2 + (x^3 + x^2 + x + 1)y = x^3 + x^2\) $\mathrm{USp}(4)$ 1
1777.a.1777.1 1777.a \(y^2 + (x^3 + x + 1)y = -3x^4 + 7x^2 - x - 8\) $\mathrm{USp}(4)$ 1
1797.a.5391.1 1797.a \(y^2 + (x^2 + x + 1)y = x^5 - 4x^4 + 2x^3 + x^2\) $\mathrm{USp}(4)$ 1
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