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Label Class Equation Sato-Tate \(\overline{\Q}\)-simple \(\GL_2\) Rank*
3969.a.3969.1 3969.a \(y^2 + (x^3 + x + 1)y = 2x^5 - 6x^3 + 2x^2 + x - 1\) $\mathrm{USp}(4)$ $1$
3969.b.35721.1 3969.b \(y^2 + (x^3 + x + 1)y = -2x^5 + 3x^4 - 3x^2\) $E_6$ $2$
3969.c.35721.1 3969.c \(y^2 + (x^2 + x)y = x^5 - 5x^4 + 4x^3 - x\) $E_6$ $0$
3969.d.250047.1 3969.d \(y^2 + (x^2 + x + 1)y = -3x^5 + 5x^4 - 4x^3 + x\) $J(E_1)$ $0$
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