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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 503
8048.2.a.q 8048.a 1.a $12$ $64.264$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(-5\) \(5\) \(-8\) $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}-\beta _{9}q^{5}+(-1-\beta _{10})q^{7}+\cdots\)
8048.2.a.r 8048.a 1.a $12$ $64.264$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(3\) \(7\) \(2\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{4}q^{3}+(\beta _{7}-\beta _{10})q^{5}+(-\beta _{2}+\beta _{6}+\cdots)q^{7}+\cdots\)
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