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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 11 13
4004.2.a.a \(1\) \(31.972\) \(\Q\) None \(0\) \(-2\) \(0\) \(1\) \(-\) \(-\) \(+\) \(-\) \(q-2q^{3}+q^{7}+q^{9}-q^{11}+q^{13}+6q^{17}+\cdots\)
4004.2.a.b \(1\) \(31.972\) \(\Q\) None \(0\) \(-1\) \(-3\) \(-1\) \(-\) \(+\) \(+\) \(-\) \(q-q^{3}-3q^{5}-q^{7}-2q^{9}-q^{11}+q^{13}+\cdots\)
4004.2.a.c \(1\) \(31.972\) \(\Q\) None \(0\) \(2\) \(4\) \(1\) \(-\) \(-\) \(-\) \(+\) \(q+2q^{3}+4q^{5}+q^{7}+q^{9}+q^{11}-q^{13}+\cdots\)


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