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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
784.2.a.a \(1\) \(6.260\) \(\Q\) None \(0\) \(-3\) \(-1\) \(0\) \(+\) \(+\) \(q-3q^{3}-q^{5}+6q^{9}+q^{11}+2q^{13}+\cdots\)
784.2.a.b \(1\) \(6.260\) \(\Q\) None \(0\) \(-2\) \(0\) \(0\) \(-\) \(-\) \(q-2q^{3}+q^{9}+4q^{13}-6q^{17}+2q^{19}+\cdots\)
784.2.a.f \(1\) \(6.260\) \(\Q\) \(\Q(\sqrt{-7}) \) \(0\) \(0\) \(0\) \(0\) \(-\) \(-\) \(q-3q^{9}-4q^{11}-8q^{23}-5q^{25}+2q^{29}+\cdots\)
784.2.a.g \(1\) \(6.260\) \(\Q\) None \(0\) \(1\) \(-3\) \(0\) \(-\) \(-\) \(q+q^{3}-3q^{5}-2q^{9}+3q^{11}-2q^{13}+\cdots\)
784.2.a.h \(1\) \(6.260\) \(\Q\) None \(0\) \(1\) \(-1\) \(0\) \(+\) \(+\) \(q+q^{3}-q^{5}-2q^{9}-3q^{11}-6q^{13}+\cdots\)
784.2.a.k \(2\) \(6.260\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(+\) \(+\) \(q+\beta q^{3}-2\beta q^{5}-q^{9}-6q^{11}+4\beta q^{13}+\cdots\)
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