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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 11 13
6864.2.a.g \(1\) \(54.809\) \(\Q\) None \(0\) \(-1\) \(-1\) \(-1\) \(-\) \(+\) \(+\) \(+\) \(q-q^{3}-q^{5}-q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
6864.2.a.k \(1\) \(54.809\) \(\Q\) None \(0\) \(-1\) \(2\) \(-4\) \(-\) \(+\) \(+\) \(+\) \(q-q^{3}+2q^{5}-4q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
6864.2.a.p \(1\) \(54.809\) \(\Q\) None \(0\) \(-1\) \(4\) \(4\) \(-\) \(+\) \(+\) \(+\) \(q-q^{3}+4q^{5}+4q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
6864.2.a.bc \(2\) \(54.809\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-4\) \(4\) \(-\) \(+\) \(+\) \(+\) \(q-q^{3}+(-2+\beta )q^{5}+(2+2\beta )q^{7}+q^{9}+\cdots\)
6864.2.a.br \(3\) \(54.809\) 3.3.564.1 None \(0\) \(-3\) \(2\) \(-4\) \(-\) \(+\) \(+\) \(+\) \(q-q^{3}+(1-\beta _{1})q^{5}+(-1+\beta _{2})q^{7}+\cdots\)
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