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Label Class Equation Sato-Tate \(\overline{\Q}\)-simple \(\GL_2\) Rank*
816.a.13872.1 816.a \(y^2 + (x^3 + x^2)y = -2x^4 + 6x^2 - 8x + 3\) $\mathrm{USp}(4)$ $0$
816.a.39168.1 816.a \(y^2 + (x^2 + 1)y = 3x^5 - 4x^3 - x^2 + x\) $\mathrm{USp}(4)$ $0$
816.b.52224.1 816.b \(y^2 + (x^3 + x)y = -x^6 - 12x^4 - 27x^2 - 17\) $\mathrm{SU}(2)\times\mathrm{SU}(2)$ $0$
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