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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 7 23
7728.2.a.a \(1\) \(61.708\) \(\Q\) None \(0\) \(-1\) \(-3\) \(-1\) \(-\) \(+\) \(+\) \(-\) \(q-q^{3}-3q^{5}-q^{7}+q^{9}+5q^{13}+3q^{15}+\cdots\)
7728.2.a.d \(1\) \(61.708\) \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) \(-\) \(+\) \(+\) \(-\) \(q-q^{3}-q^{7}+q^{9}-3q^{11}+2q^{13}+\cdots\)
7728.2.a.v \(2\) \(61.708\) \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(-5\) \(-2\) \(-\) \(+\) \(+\) \(-\) \(q-q^{3}+(-2-\beta )q^{5}-q^{7}+q^{9}+(3+\cdots)q^{11}+\cdots\)
7728.2.a.bb \(2\) \(61.708\) \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(1\) \(-2\) \(-\) \(+\) \(+\) \(-\) \(q-q^{3}+(-1+3\beta )q^{5}-q^{7}+q^{9}-3q^{11}+\cdots\)
7728.2.a.bd \(2\) \(61.708\) \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(4\) \(-2\) \(-\) \(+\) \(+\) \(-\) \(q-q^{3}+2q^{5}-q^{7}+q^{9}-\beta q^{13}-2q^{15}+\cdots\)
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