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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 5 7
175.2.a.c $1$ $1.397$ \(\Q\) None \(2\) \(1\) \(0\) \(-1\) $-$ $+$ \(q+2q^{2}+q^{3}+2q^{4}+2q^{6}-q^{7}-2q^{9}+\cdots\)
175.2.a.d $2$ $1.397$ \(\Q(\sqrt{5}) \) None \(-1\) \(2\) \(0\) \(-2\) $-$ $+$ \(q-\beta q^{2}+(2-2\beta )q^{3}+(-1+\beta )q^{4}+\cdots\)
175.2.a.e $2$ $1.397$ \(\Q(\sqrt{5}) \) None \(1\) \(-2\) \(0\) \(2\) $+$ $-$ \(q+\beta q^{2}+(-2+2\beta )q^{3}+(-1+\beta )q^{4}+\cdots\)
175.2.a.f $2$ $1.397$ \(\Q(\sqrt{17}) \) None \(1\) \(1\) \(0\) \(2\) $+$ $-$ \(q+\beta q^{2}+(1-\beta )q^{3}+(2+\beta )q^{4}-4q^{6}+\cdots\)
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