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Results (displaying all 10 matches)

Label Class Equation Sato-Tate \(\overline{\Q}\)-simple \(\GL_2\) Rank*
440509.a.440509.1 440509.a \(y^2 + (x^3 + x + 1)y = x^5 - x^4 - 5x^3 + 9x + 6\) $\mathrm{USp}(4)$ 4
526499.a.526499.1 526499.a \(y^2 + (x^3 + x + 1)y = -x^5 + 5x^4 - 6x^3\) $\mathrm{USp}(4)$ 4
563011.a.563011.1 563011.a \(y^2 + (x^3 + x + 1)y = -2x^4 + x^3 + 7x^2 + 4x\) $\mathrm{USp}(4)$ 4
758059.a.758059.1 758059.a \(y^2 + (x^3 + x + 1)y = 2x^3 - 3x^2 - 3x + 2\) $\mathrm{USp}(4)$ 4
766561.b.766561.1 766561.b \(y^2 + (x^3 + x + 1)y = -x^5 + x^3 - 6x + 6\) $\mathrm{USp}(4)$ 4
776117.a.776117.1 776117.a \(y^2 + (x^3 + x^2 + x)y = 2x^4 + 2x^3 + 3x^2 + 2x + 1\) $\mathrm{USp}(4)$ 4
792079.a.792079.1 792079.a \(y^2 + (x^3 + x + 1)y = -3x^5 + 7x^4 - 4x^2\) $\mathrm{USp}(4)$ 4
806069.a.806069.1 806069.a \(y^2 + (x^3 + x + 1)y = -2x^4 + 5x^2 + 5x + 2\) $\mathrm{USp}(4)$ 4
864569.a.864569.1 864569.a \(y^2 + (x^3 + x + 1)y = 2x^5 + 2x^4 - 3x^3 - 3x^2\) $\mathrm{USp}(4)$ 4
994009.a.994009.1 994009.a \(y^2 + x^3y = -4x^4 - 7x^3 - x^2 + 3x + 1\) $G_{3,3}$ 4


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