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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 3 5 7
525.2.a.a \(1\) \(4.192\) \(\Q\) None \(-1\) \(-1\) \(0\) \(-1\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}-q^{4}+q^{6}-q^{7}+3q^{8}+\cdots\)
525.2.a.b \(1\) \(4.192\) \(\Q\) None \(-1\) \(1\) \(0\) \(-1\) \(-\) \(-\) \(+\) \(q-q^{2}+q^{3}-q^{4}-q^{6}-q^{7}+3q^{8}+\cdots\)
525.2.a.c \(1\) \(4.192\) \(\Q\) None \(1\) \(-1\) \(0\) \(1\) \(+\) \(-\) \(-\) \(q+q^{2}-q^{3}-q^{4}-q^{6}+q^{7}-3q^{8}+\cdots\)
525.2.a.e \(2\) \(4.192\) \(\Q(\sqrt{5}) \) None \(-3\) \(-2\) \(0\) \(2\) \(+\) \(-\) \(-\) \(q+(-1-\beta )q^{2}-q^{3}+3\beta q^{4}+(1+\beta )q^{6}+\cdots\)
525.2.a.f \(2\) \(4.192\) \(\Q(\sqrt{13}) \) None \(-1\) \(-2\) \(0\) \(-2\) \(+\) \(+\) \(+\) \(q-\beta q^{2}-q^{3}+(1+\beta )q^{4}+\beta q^{6}-q^{7}+\cdots\)
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