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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.p \(2\) \(12.521\) \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(0\) \(0\) \(-\) \(+\) \(q+3\beta q^{5}-3q^{9}+5\beta q^{13}-3\beta q^{17}+\cdots\)
1568.2.a.r \(2\) \(12.521\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(-\) \(+\) \(q+\beta q^{3}-q^{9}+2q^{11}+2\beta q^{13}+3\beta q^{17}+\cdots\)
1568.2.a.s \(2\) \(12.521\) \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(2\) \(0\) \(-\) \(+\) \(q+\beta q^{3}+q^{5}+3\beta q^{11}+\beta q^{15}+5q^{17}+\cdots\)
1568.2.a.w \(2\) \(12.521\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(0\) \(-\) \(+\) \(q+(1+\beta )q^{3}+(1+2\beta )q^{5}+2\beta q^{9}+(-1+\cdots)q^{11}+\cdots\)
1568.2.a.x \(4\) \(12.521\) \(\Q(\sqrt{2}, \sqrt{5})\) None \(0\) \(0\) \(0\) \(0\) \(-\) \(+\) \(q-\beta _{2}q^{3}-2\beta _{1}q^{5}+7q^{9}-\beta _{3}q^{11}+\cdots\)
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