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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 13
1248.2.a.e 1248.a 1.a $1$ $9.965$ \(\Q\) None \(0\) \(-1\) \(2\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{5}-2q^{7}+q^{9}+2q^{11}+\cdots\)
1248.2.a.k 1248.a 1.a $2$ $9.965$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(-2\) \(6\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+(-1-\beta )q^{5}+(3-\beta )q^{7}+q^{9}+\cdots\)
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