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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.a \(1\) \(54.809\) \(\Q\) None \(0\) \(-1\) \(-3\) \(-5\) \(-\) \(+\) \(-\) \(-\) \(q-q^{3}-3q^{5}-5q^{7}+q^{9}+q^{11}+q^{13}+\cdots\)
6864.2.a.e \(1\) \(54.809\) \(\Q\) None \(0\) \(-1\) \(-2\) \(0\) \(-\) \(+\) \(-\) \(-\) \(q-q^{3}-2q^{5}+q^{9}+q^{11}+q^{13}+2q^{15}+\cdots\)
6864.2.a.h \(1\) \(54.809\) \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) \(-\) \(+\) \(-\) \(-\) \(q-q^{3}-2q^{7}+q^{9}+q^{11}+q^{13}+6q^{17}+\cdots\)
6864.2.a.j \(1\) \(54.809\) \(\Q\) None \(0\) \(-1\) \(0\) \(4\) \(-\) \(+\) \(-\) \(-\) \(q-q^{3}+4q^{7}+q^{9}+q^{11}+q^{13}+4q^{19}+\cdots\)
6864.2.a.bf \(2\) \(54.809\) \(\Q(\sqrt{41}) \) None \(0\) \(-2\) \(4\) \(0\) \(-\) \(+\) \(-\) \(-\) \(q-q^{3}+2q^{5}+q^{9}+q^{11}+q^{13}-2q^{15}+\cdots\)
6864.2.a.bt \(3\) \(54.809\) 3.3.404.1 None \(0\) \(-3\) \(4\) \(4\) \(-\) \(+\) \(-\) \(-\) \(q-q^{3}+(1+2\beta _{1}-\beta _{2})q^{5}+(2-\beta _{1}+\cdots)q^{7}+\cdots\)
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