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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 61
549.2.a.d 549.a 1.a $2$ $4.384$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(-2\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{4}+\beta q^{5}-q^{7}-\beta q^{8}+3q^{10}+\cdots\)
549.2.a.i 549.a 1.a $6$ $4.384$ 6.6.337383424.1 None \(0\) \(0\) \(0\) \(6\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+\beta _{5}q^{5}+(1-\beta _{2}+\cdots)q^{7}+\cdots\)
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