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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.c \(1\) \(12.521\) \(\Q\) None \(0\) \(-2\) \(2\) \(0\) \(-\) \(-\) \(q-2q^{3}+2q^{5}+q^{9}-4q^{11}+6q^{13}+\cdots\)
1568.2.a.e \(1\) \(12.521\) \(\Q\) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(2\) \(0\) \(-\) \(-\) \(q+2q^{5}-3q^{9}-6q^{13}-2q^{17}-q^{25}+\cdots\)
1568.2.a.g \(1\) \(12.521\) \(\Q\) None \(0\) \(2\) \(-2\) \(0\) \(-\) \(-\) \(q+2q^{3}-2q^{5}+q^{9}-4q^{11}-6q^{13}+\cdots\)
1568.2.a.j \(2\) \(12.521\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-2\) \(0\) \(-\) \(-\) \(q+(-1+\beta )q^{3}+(-1+2\beta )q^{5}-2\beta q^{9}+\cdots\)
1568.2.a.k \(2\) \(12.521\) \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(-2\) \(0\) \(-\) \(-\) \(q+(-1-\beta )q^{3}+(-1+\beta )q^{5}+(3+2\beta )q^{9}+\cdots\)
1568.2.a.n \(2\) \(12.521\) \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(-2\) \(0\) \(-\) \(-\) \(q+\beta q^{3}-q^{5}-3\beta q^{11}-\beta q^{15}-5q^{17}+\cdots\)
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