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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 5 7
315.4.a.c 315.a 1.a $1$ $18.586$ \(\Q\) None 35.4.a.a \(-1\) \(0\) \(5\) \(7\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-7q^{4}+5q^{5}+7q^{7}+15q^{8}+\cdots\)
315.4.a.g 315.a 1.a $2$ $18.586$ \(\Q(\sqrt{41}) \) None 105.4.a.g \(-3\) \(0\) \(10\) \(14\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{2}+(3+3\beta )q^{4}+5q^{5}+\cdots\)
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