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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
12.8.a.a 12.a 1.a $1$ $3.749$ \(\Q\) None \(0\) \(-27\) \(-378\) \(-832\) $-$ $+$ $\mathrm{SU}(2)$ \(q-3^{3}q^{3}-378q^{5}-832q^{7}+3^{6}q^{9}+\cdots\)
12.8.a.b 12.a 1.a $1$ $3.749$ \(\Q\) None \(0\) \(27\) \(270\) \(1112\) $-$ $-$ $\mathrm{SU}(2)$ \(q+3^{3}q^{3}+270q^{5}+1112q^{7}+3^{6}q^{9}+\cdots\)
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