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Label Class Equation Sato-Tate \(\overline{\Q}\)-simple \(\GL_2\) Rank*
10005.a.50025.1 10005.a \(y^2 + (x^3 + x + 1)y = x - 1\) $\mathrm{USp}(4)$ $1$
10005.b.450225.1 10005.b \(y^2 + (x^3 + x + 1)y = -2x^4 + 3x^2 + x + 2\) $\mathrm{USp}(4)$ $2$
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