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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 7
1568.2.a.l \(2\) \(12.521\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(2\) \(0\) \(+\) \(+\) \(q+(-1+\beta )q^{3}+(1-2\beta )q^{5}-2\beta q^{9}+\cdots\)
1568.2.a.m \(2\) \(12.521\) \(\Q(\sqrt{7}) \) None \(0\) \(0\) \(-6\) \(0\) \(+\) \(+\) \(q+\beta q^{3}-3q^{5}+4q^{9}-\beta q^{11}-4q^{13}+\cdots\)
1568.2.a.o \(2\) \(12.521\) \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(0\) \(0\) \(+\) \(+\) \(q+\beta q^{5}-3q^{9}-\beta q^{13}-5\beta q^{17}-3q^{25}+\cdots\)
1568.2.a.q \(2\) \(12.521\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(+\) \(+\) \(q+\beta q^{3}-q^{9}-2q^{11}-2\beta q^{13}-3\beta q^{17}+\cdots\)
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