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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 5 7
490.2.a.a \(1\) \(3.913\) \(\Q\) None \(-1\) \(-2\) \(1\) \(0\) \(+\) \(-\) \(+\) \(q-q^{2}-2q^{3}+q^{4}+q^{5}+2q^{6}-q^{8}+\cdots\)
490.2.a.d \(1\) \(3.913\) \(\Q\) None \(-1\) \(2\) \(-1\) \(0\) \(+\) \(+\) \(-\) \(q-q^{2}+2q^{3}+q^{4}-q^{5}-2q^{6}-q^{8}+\cdots\)
490.2.a.e \(1\) \(3.913\) \(\Q\) None \(1\) \(-3\) \(1\) \(0\) \(-\) \(-\) \(-\) \(q+q^{2}-3q^{3}+q^{4}+q^{5}-3q^{6}+q^{8}+\cdots\)
490.2.a.g \(1\) \(3.913\) \(\Q\) None \(1\) \(-2\) \(-1\) \(0\) \(-\) \(+\) \(+\) \(q+q^{2}-2q^{3}+q^{4}-q^{5}-2q^{6}+q^{8}+\cdots\)
490.2.a.h \(1\) \(3.913\) \(\Q\) None \(1\) \(0\) \(1\) \(0\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{4}+q^{5}+q^{8}-3q^{9}+q^{10}+\cdots\)
490.2.a.i \(1\) \(3.913\) \(\Q\) None \(1\) \(2\) \(1\) \(0\) \(-\) \(-\) \(-\) \(q+q^{2}+2q^{3}+q^{4}+q^{5}+2q^{6}+q^{8}+\cdots\)
490.2.a.j \(1\) \(3.913\) \(\Q\) None \(1\) \(2\) \(1\) \(0\) \(-\) \(-\) \(-\) \(q+q^{2}+2q^{3}+q^{4}+q^{5}+2q^{6}+q^{8}+\cdots\)
490.2.a.k \(1\) \(3.913\) \(\Q\) None \(1\) \(3\) \(-1\) \(0\) \(-\) \(+\) \(+\) \(q+q^{2}+3q^{3}+q^{4}-q^{5}+3q^{6}+q^{8}+\cdots\)
490.2.a.m \(2\) \(3.913\) \(\Q(\sqrt{2}) \) None \(-2\) \(4\) \(2\) \(0\) \(+\) \(-\) \(+\) \(q-q^{2}+(2+\beta )q^{3}+q^{4}+q^{5}+(-2+\cdots)q^{6}+\cdots\)
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