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Results (3 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 5 13
5265.2.a.r 5265.a 1.a $2$ $42.041$ \(\Q(\sqrt{3}) \) None \(2\) \(0\) \(-2\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}-q^{5}+\beta q^{7}-3q^{8}-q^{10}+\cdots\)
5265.2.a.bc 5265.a 1.a $8$ $42.041$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(0\) \(-8\) \(4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+(1+\beta _{3}+\cdots)q^{7}+\cdots\)
5265.2.a.bh 5265.a 1.a $13$ $42.041$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(1\) \(0\) \(-13\) \(10\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{5}+(1-\beta _{5}+\cdots)q^{7}+\cdots\)
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