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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.d \(4\) \(31.972\) 4.4.3981.1 None \(0\) \(-3\) \(-1\) \(4\) \(-\) \(-\) \(-\) \(-\) \(q+(-1-\beta _{3})q^{3}+(\beta _{2}+\beta _{3})q^{5}+q^{7}+\cdots\)
4004.2.a.e \(4\) \(31.972\) \(\Q(\zeta_{15})^+\) None \(0\) \(1\) \(1\) \(-4\) \(-\) \(+\) \(-\) \(+\) \(q+(-\beta _{2}-\beta _{3})q^{3}+(1-\beta _{1}+\beta _{3})q^{5}+\cdots\)


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