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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 3 7 127
8001.2.a.c \(1\) \(63.888\) \(\Q\) None \(0\) \(0\) \(-3\) \(1\) \(-\) \(-\) \(-\) \(q-2q^{4}-3q^{5}+q^{7}-6q^{11}-q^{13}+\cdots\)
8001.2.a.k \(2\) \(63.888\) \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(0\) \(2\) \(-\) \(-\) \(-\) \(q+\beta q^{2}+4q^{4}+\beta q^{5}+q^{7}+2\beta q^{8}+\cdots\)
8001.2.a.n \(12\) \(63.888\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(7\) \(0\) \(7\) \(12\) \(-\) \(-\) \(-\) \(q+(1-\beta _{1})q^{2}+(1-\beta _{1}+\beta _{6}+\beta _{7})q^{4}+\cdots\)
8001.2.a.u \(18\) \(63.888\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(6\) \(0\) \(10\) \(18\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1-\beta _{12})q^{5}+\cdots\)
8001.2.a.v \(19\) \(63.888\) \(\mathbb{Q}[x]/(x^{19} - \cdots)\) None \(-4\) \(0\) \(-5\) \(19\) \(-\) \(-\) \(-\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{10}q^{5}+q^{7}+\cdots\)
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