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Results (4 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3
4608.2.a.y 4608.a 1.a $4$ $36.795$ \(\Q(\sqrt{2}, \sqrt{5})\) None \(0\) \(0\) \(0\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{5}+\beta _{2}q^{7}-\beta _{3}q^{11}-\beta _{3}q^{13}+\cdots\)
4608.2.a.z 4608.a 1.a $4$ $36.795$ \(\Q(\zeta_{24})^+\) None \(0\) \(0\) \(0\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{5}+\beta _{1}q^{7}-\beta _{3}q^{11}+2\beta _{2}q^{13}+\cdots\)
4608.2.a.bb 4608.a 1.a $4$ $36.795$ \(\Q(\zeta_{24})^+\) None \(0\) \(0\) \(0\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{5}+\beta _{1}q^{7}+2q^{11}-\beta _{2}q^{13}+\cdots\)
4608.2.a.bc 4608.a 1.a $4$ $36.795$ \(\Q(\zeta_{24})^+\) \(\Q(\sqrt{-6}) \) \(0\) \(0\) \(8\) \(0\) $-$ $+$ $N(\mathrm{U}(1))$ \(q+(2+\beta _{2})q^{5}+(\beta _{1}+\beta _{3})q^{7}+\beta _{3}q^{11}+\cdots\)
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