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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 11 13
572.2.a.b \(2\) \(4.567\) \(\Q(\sqrt{13}) \) None \(0\) \(-3\) \(0\) \(-3\) \(-\) \(+\) \(-\) \(q+(-1-\beta )q^{3}+(-2+\beta )q^{7}+(1+3\beta )q^{9}+\cdots\)
572.2.a.e \(3\) \(4.567\) 3.3.229.1 None \(0\) \(-2\) \(-1\) \(-7\) \(-\) \(-\) \(+\) \(q+(-1-\beta _{2})q^{3}+(\beta _{1}+\beta _{2})q^{5}+(-2+\cdots)q^{7}+\cdots\)
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