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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 3
1536.2.a.b \(2\) \(12.265\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-4\) \(4\) \(-\) \(+\) \(q-q^{3}+(-2+\beta )q^{5}+(2+\beta )q^{7}+q^{9}+\cdots\)
1536.2.a.d \(2\) \(12.265\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(0\) \(0\) \(-\) \(+\) \(q-q^{3}+\beta q^{5}+3\beta q^{7}+q^{9}+6q^{11}+\cdots\)
1536.2.a.f \(2\) \(12.265\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(4\) \(0\) \(-\) \(+\) \(q-q^{3}+(2+\beta )q^{5}+\beta q^{7}+q^{9}+(2+2\beta )q^{11}+\cdots\)
1536.2.a.j \(2\) \(12.265\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(0\) \(0\) \(+\) \(-\) \(q+q^{3}+\beta q^{5}+\beta q^{7}+q^{9}+2q^{11}+\cdots\)
1536.2.a.k \(2\) \(12.265\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(4\) \(0\) \(+\) \(-\) \(q+q^{3}+(2+\beta )q^{5}-\beta q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots\)
1536.2.a.l \(2\) \(12.265\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(4\) \(4\) \(+\) \(-\) \(q+q^{3}+(2+\beta )q^{5}+(2-\beta )q^{7}+q^{9}+\cdots\)
1536.2.a.m \(4\) \(12.265\) 4.4.4352.1 None \(0\) \(-4\) \(0\) \(0\) \(-\) \(+\) \(q-q^{3}+\beta _{1}q^{5}-\beta _{3}q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots\)
1536.2.a.n \(4\) \(12.265\) 4.4.4352.1 None \(0\) \(4\) \(0\) \(0\) \(+\) \(-\) \(q+q^{3}+\beta _{1}q^{5}+\beta _{3}q^{7}+q^{9}+(2+\beta _{2}+\cdots)q^{11}+\cdots\)
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