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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 7
49.4.a.d 49.a 1.a $1$ $2.891$ \(\Q\) None \(2\) \(7\) \(7\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+2q^{2}+7q^{3}-4q^{4}+7q^{5}+14q^{6}+\cdots\)
49.4.a.e 49.a 1.a $4$ $2.891$ \(\Q(\sqrt{2}, \sqrt{65})\) None \(2\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+(1+\beta _{1})q^{2}+\beta _{2}q^{3}+(9+\beta _{1})q^{4}+\cdots\)
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