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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 211
211.2.a.a 211.a 1.a $2$ $1.685$ \(\Q(\sqrt{5}) \) None \(1\) \(3\) \(2\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(1+\beta )q^{3}+(-1+\beta )q^{4}+(2+\cdots)q^{5}+\cdots\)
211.2.a.d 211.a 1.a $9$ $1.685$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-1\) \(-1\) \(15\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+\beta _{7}q^{3}+(1+\beta _{2})q^{4}+(2+\beta _{3}+\cdots)q^{5}+\cdots\)
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