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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 11
275.2.a.f 275.a 1.a $2$ $2.196$ \(\Q(\sqrt{13}) \) None \(1\) \(1\) \(0\) \(5\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(1-\beta )q^{3}+(1+\beta )q^{4}-3q^{6}+\cdots\)
275.2.a.h 275.a 1.a $4$ $2.196$ \(\Q(\sqrt{3}, \sqrt{11})\) None \(0\) \(0\) \(0\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(\beta _{1}-\beta _{2})q^{3}+(2+\beta _{3})q^{4}+\cdots\)
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