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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
648.2.a.d \(1\) \(5.174\) \(\Q\) None \(0\) \(0\) \(1\) \(0\) \(-\) \(+\) \(q+q^{5}+4q^{11}-5q^{13}+5q^{17}+8q^{19}+\cdots\)
648.2.a.f \(2\) \(5.174\) \(\Q(\sqrt{33}) \) None \(0\) \(0\) \(-1\) \(3\) \(-\) \(+\) \(q-\beta q^{5}+(2-\beta )q^{7}+q^{11}+(2+\beta )q^{13}+\cdots\)
648.2.a.g \(2\) \(5.174\) \(\Q(\sqrt{33}) \) None \(0\) \(0\) \(1\) \(3\) \(+\) \(-\) \(q+\beta q^{5}+(2-\beta )q^{7}-q^{11}+(2+\beta )q^{13}+\cdots\)
648.2.a.h \(2\) \(5.174\) \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(4\) \(0\) \(+\) \(-\) \(q+(2+\beta )q^{5}+2\beta q^{7}+2q^{11}+(1-2\beta )q^{13}+\cdots\)
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