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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.e \(1\) \(63.888\) \(\Q\) None \(1\) \(0\) \(0\) \(1\) \(-\) \(-\) \(+\) \(q+q^{2}-q^{4}+q^{7}-3q^{8}+2q^{13}+q^{14}+\cdots\)
8001.2.a.j \(2\) \(63.888\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(2\) \(-\) \(-\) \(+\) \(q+\beta q^{2}-\beta q^{5}+q^{7}-2\beta q^{8}-2q^{10}+\cdots\)
8001.2.a.l \(7\) \(63.888\) 7.7.118870813.1 None \(2\) \(0\) \(8\) \(7\) \(-\) \(-\) \(+\) \(q-\beta _{4}q^{2}+(\beta _{1}+\beta _{2}+\beta _{3}-\beta _{4}-\beta _{5}+\cdots)q^{4}+\cdots\)
8001.2.a.o \(13\) \(63.888\) \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(-4\) \(0\) \(-12\) \(13\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{10}+\cdots)q^{5}+\cdots\)
8001.2.a.w \(20\) \(63.888\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(-8\) \(0\) \(-3\) \(20\) \(-\) \(-\) \(+\) \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{16}q^{5}+q^{7}+\cdots\)
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