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Label Class Equation Sato-Tate \(\overline{\Q}\)-simple \(\GL_2\) Rank*
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


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