## Results (displaying matches 1-50 of 886) Next

Label Class Equation Sato-Tate $$\overline{\Q}$$-simple $$\GL_2$$ Rank*
363.a.11979.1 363.a $$y^2 + (x^2 + 1)y = x^5 + 2x^3 + 4x^2 + 2x$$ $G_{3,3}$ 0
464.a.29696.1 464.a $$y^2 + (x + 1)y = 8x^5 + 3x^4 - 4x^3 - 2x^2$$ $\mathrm{USp}(4)$ 0
464.a.29696.2 464.a $$y^2 + xy = 4x^5 + 33x^4 + 72x^3 + 16x^2 + x$$ $\mathrm{USp}(4)$ 0
472.a.944.1 472.a $$y^2 + (x^2 + 1)y = x^5 - x^4 - 2x^3 + x$$ $\mathrm{USp}(4)$ 0
555.a.8325.1 555.a $$y^2 + (x + 1)y = 3x^5 - 2x^4 - 4x^3 + x^2 + x$$ $\mathrm{USp}(4)$ 0
704.a.45056.1 704.a $$y^2 + y = 4x^5 + 4x^4 - x^3 - 2x^2$$ $\mathrm{USp}(4)$ 0
741.a.28899.1 741.a $$y^2 + (x + 1)y = -3x^5 - x^4 + 2x^2 + x$$ $\mathrm{USp}(4)$ 0
762.a.82296.1 762.a $$y^2 + (x^2 + x)y = x^5 - 8x^4 + 14x^3 + 2x^2 - x$$ $\mathrm{USp}(4)$ 0
784.c.614656.1 784.c $$y^2 = x^5 - 4x^4 - 13x^3 - 9x^2 - x$$ $E_3$ 0
826.a.11564.1 826.a $$y^2 + (x^2 + x)y = x^5 + x^4 + 3x^3 - 4x^2 - 4x + 3$$ $\mathrm{USp}(4)$ 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
856.a.1712.1 856.a $$y^2 + (x^3 + x)y = -x^4 - x^3 + x$$ $\mathrm{USp}(4)$ 0
862.a.6896.1 862.a $$y^2 + (x^2 + x)y = 4x^5 + 6x^4 - 3x^2 - x$$ $\mathrm{USp}(4)$ 0
909.a.8181.1 909.a $$y^2 + xy = 3x^5 - 7x^4 + x^3 + 6x^2 - 3x$$ $\mathrm{USp}(4)$ 0
925.a.23125.1 925.a $$y^2 + xy = 5x^5 + x^4 - 19x^3 + 18x^2 - 5x$$ $\mathrm{USp}(4)$ 0
997.a.997.1 997.a $$y^2 + xy = x^5 - 8x^4 + 16x^3 - x$$ $\mathrm{USp}(4)$ 0
1051.b.1051.2 1051.b $$y^2 + xy = x^5 + 8x^4 + 16x^3 + x$$ $\mathrm{USp}(4)$ 0
1125.a.151875.1 1125.a $$y^2 + xy = 15x^5 + 50x^4 + 55x^3 + 22x^2 + 3x$$ $G_{3,3}$ 0
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
1184.a.606208.1 1184.a $$y^2 = 2x^5 + x^4 - 8x^3 - 8x^2 - 2x$$ $\mathrm{USp}(4)$ 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
1296.a.20736.1 1296.a $$y^2 = x^5 - x^4 - 3x^3 + 4x^2 - x$$ $E_3$ 0
1311.a.814131.1 1311.a $$y^2 + xy = x^5 + 5x^4 + 5x^3 + 4x^2 + x$$ $\mathrm{USp}(4)$ 0
1338.b.72252.1 1338.b $$y^2 + (x^2 + x)y = x^5 + 7x^4 + 4x^3 - 12x^2 - 6x + 5$$ $\mathrm{USp}(4)$ 0
1408.b.180224.2 1408.b $$y^2 = 2x^5 - 4x^3 - x^2 + 2x + 1$$ $\mathrm{USp}(4)$ 0
1408.b.720896.2 1408.b $$y^2 = x^5 + 2x^3 - 4x^2 + x$$ $\mathrm{USp}(4)$ 0
1416.a.8496.1 1416.a $$y^2 + (x^3 + x)y = x^5 - x^3 - 1$$ $\mathrm{USp}(4)$ 0
1416.b.135936.1 1416.b $$y^2 + (x^3 + x)y = -2x^4 - x^3 + x + 1$$ $\mathrm{USp}(4)$ 0
1472.a.5888.1 1472.a $$y^2 = x^5 + x^4 - x^3 - 2x^2 - x$$ $\mathrm{USp}(4)$ 0
1472.a.94208.1 1472.a $$y^2 = 4x^5 - 3x^4 - 4x^3 - x^2 + 7x - 3$$ $\mathrm{USp}(4)$ 0
1488.a.71424.1 1488.a $$y^2 = x^5 - x^3 - x^2 - x$$ $\mathrm{USp}(4)$ 0
1573.b.224939.1 1573.b $$y^2 + (x + 1)y = x^5 + x^4 - 5x^3 + 3x^2 - 1$$ $\mathrm{USp}(4)$ 0
1717.a.1717.2 1717.a $$y^2 + xy = x^5 + 9x^4 + 24x^3 + 16x^2 + x$$ $\mathrm{USp}(4)$ 0
1740.a.104400.1 1740.a $$y^2 + (x^2 + x)y = 2x^5 - 14x^3 - 5x^2 + 30x$$ $\mathrm{USp}(4)$ 0
1770.a.26550.1 1770.a $$y^2 + (x^2 + x)y = 3x^5 - 7x^3 + 7x + 3$$ $\mathrm{USp}(4)$ 0
1832.a.3664.1 1832.a $$y^2 + xy = 2x^5 + 4x^4 - x^3 - 3x^2 + x$$ $\mathrm{USp}(4)$ 0
1832.b.14656.1 1832.b $$y^2 + (x + 1)y = 2x^5 - 4x^3 - 2x^2$$ $\mathrm{USp}(4)$ 0
1888.a.241664.1 1888.a $$y^2 = x^5 - x^4 - 2x^3 - x^2 - x$$ $\mathrm{USp}(4)$ 0
1896.a.728064.1 1896.a $$y^2 + (x^3 + x)y = x^5 - 2x^4 - 8x^3 + 11x - 3$$ $\mathrm{USp}(4)$ 0
1922.a.3844.1 1922.a $$y^2 + (x^2 + x)y = x^5 + x^4 - 3x^3 - 2x^2 + 2x$$ $\mathrm{USp}(4)$ 0
1944.a.34992.1 1944.a $$y^2 + xy = 2x^5 + 2x^4 - 3x^2 + x$$ $\mathrm{USp}(4)$ 0
1947.a.578259.1 1947.a $$y^2 + (x^2 + x)y = x^5 + 2x^4 + x^3 - 16x^2 - 8x - 1$$ $\mathrm{USp}(4)$ 0
2121.a.400869.1 2121.a $$y^2 + xy = x^5 - 2x^4 - 4x^3 + 8x^2 - 1$$ $\mathrm{USp}(4)$ 0
2123.a.409739.1 2123.a $$y^2 + xy = x^5 - 5x^4 + 4x^3 - x$$ $\mathrm{USp}(4)$ 0
2154.a.465264.1 2154.a $$y^2 + (x^2 + x)y = x^5 - 9x^3 - x^2 + 18x - 1$$ $\mathrm{USp}(4)$ 0
2208.b.847872.1 2208.b $$y^2 = 3x^5 - 4x^4 - 3x^3 + x^2 + 4x$$ $\mathrm{USp}(4)$ 0
2272.a.36352.1 2272.a $$y^2 + xy = 4x^5 + 31x^4 + 56x^3 - 16x^2 + x$$ $\mathrm{USp}(4)$ 0
2288.a.805376.1 2288.a $$y^2 + (x + 1)y = -4x^5 - x^4 - x^3 - x^2$$ $\mathrm{USp}(4)$ 0
2534.a.17738.1 2534.a $$y^2 + (x^2 + x)y = x^5 + 6x^4 + 18x^3 + 8x^2 + x$$ $\mathrm{USp}(4)$ 0
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