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Label Class Equation Sato-Tate \(\overline{\Q}\)-simple \(\GL_2\) Rank*
20736.a.20736.1 20736.a \(y^2 = x^5 + x^4 - 3x^3 - 4x^2 - x\) $E_3$ $0$
20736.b.41472.1 20736.b \(y^2 + y = 2x^5 - 3x^4 - x^3 + 3x^2 - 1\) $\mathrm{USp}(4)$ $1$
20736.c.41472.1 20736.c \(y^2 + x^3y = -x^4 + 3x^2 - 4x + 2\) $\mathrm{USp}(4)$ $1$
20736.d.41472.1 20736.d \(y^2 + y = 6x^6 - 6x^4 - 2x^3 + 3x^2 + x - 1\) $\mathrm{USp}(4)$ $0$
20736.e.82944.1 20736.e \(y^2 = x^5 + x^4 + x^3 - 2x^2 - 2x - 2\) $\mathrm{USp}(4)$ $0$
20736.f.186624.1 20736.f \(y^2 = x^5 - 2x^4 - 9x^3 - 7x^2 - x\) $E_6$ $0$
20736.g.186624.1 20736.g \(y^2 = x^5 + 2x^4 - 9x^3 + 7x^2 - x\) $E_6$ $0$
20736.h.331776.1 20736.h \(y^2 + x^2y = x^6 - 3x^5 + 5x^3 - 3x^2 + 2x - 3\) $\mathrm{USp}(4)$ $1$
20736.i.373248.1 20736.i \(y^2 + x^3y = -2\) $D_{2,1}$ $0$
20736.j.373248.1 20736.j \(y^2 + y = 2x^5 + x^4 - 5x^3 + 7x^2 - 4x + 1\) $\mathrm{USp}(4)$ $0$
20736.k.373248.1 20736.k \(y^2 + x^3y = 2\) $D_{2,1}$ $1$
20736.l.373248.1 20736.l \(y^2 + y = 6x^5 + 9x^4 - x^3 - 3x^2\) $J(E_4)$ $0$
20736.m.373248.1 20736.m \(y^2 + x^3y = x^5 + 4x^4 + 6x^3 + 7x^2 + 4x + 2\) $\mathrm{USp}(4)$ $1$
20736.n.373248.1 20736.n \(y^2 + y = 6x^5 - 9x^4 - 3x^3 + 4x^2 + 2x\) $\mathrm{USp}(4)$ $1$
20736.o.995328.1 20736.o \(y^2 + (x^3 + x^2)y = x^4 + x^3 - 3\) $\mathrm{USp}(4)$ $1$
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