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Label Class Equation Sato-Tate \(\overline{\Q}\)-simple \(\GL_2\) Rank*
3125.a.3125.1 3125.a \(y^2 + y = x^5\) $F_{ac}$ $0$
10000.b.800000.1 10000.b \(y^2 = x^5 + 1\) $F_{ac}$ $0$
50000.a.200000.1 50000.a \(y^2 + y = 2x^5\) $F_{ac}$ $1$
50625.a.253125.1 50625.a \(y^2 + y = x^5 - 1\) $F_{ac}$ $1$
160000.c.800000.1 160000.c \(y^2 = x^5 - 1\) $F_{ac}$ $1$
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