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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 103
309.2.a.b 309.a 1.a $3$ $2.467$ 3.3.148.1 None \(1\) \(-3\) \(1\) \(-2\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{2})q^{4}+\beta _{1}q^{5}+\cdots\)
309.2.a.d 309.a 1.a $8$ $2.467$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-1\) \(8\) \(-1\) \(6\) $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{7}q^{5}+\cdots\)
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