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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 5 73
365.2.a.a 365.a 1.a $2$ $2.915$ \(\Q(\sqrt{3}) \) None \(0\) \(4\) \(2\) \(6\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+2q^{3}+q^{4}+q^{5}+2\beta q^{6}+\cdots\)
365.2.a.d 365.a 1.a $7$ $2.915$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-1\) \(2\) \(7\) \(-3\) $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+\beta _{2}q^{3}+(1+\beta _{1}-\beta _{3}+\beta _{5}+\cdots)q^{4}+\cdots\)
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