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Label Class Equation Sato-Tate \(\overline{\Q}\)-simple \(\GL_2\) Rank*
46656.a.46656.1 46656.a \(y^2 + (x^3 + x)y = x^4 + 2x^2 - 1\) $\mathrm{SU}(2)\times\mathrm{SU}(2)$ $0$
46656.b.46656.1 46656.b \(y^2 + (x^3 + x)y = -2x^4 + 2x^2 + 1\) $\mathrm{SU}(2)\times\mathrm{SU}(2)$ $1$
46656.c.93312.1 46656.c \(y^2 + x^3y = x^3 - 1\) $J(E_6)$ $1$
46656.d.93312.1 46656.d \(y^2 + (x^3 + x)y = -2x^4 + 2x^2 - 2\) $\mathrm{SU}(2)\times\mathrm{SU}(2)$ $0$
46656.e.93312.1 46656.e \(y^2 + (x^3 + x)y = x^4 + 2x^2 + 2\) $\mathrm{SU}(2)\times\mathrm{SU}(2)$ $1$
46656.f.373248.1 46656.f \(y^2 + (x^3 + x)y = x^4 - 2x^3 + 2x^2 - 6x + 5\) $\mathrm{USp}(4)$ $1$
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