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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 23
3381.2.a.c \(1\) \(26.997\) \(\Q\) None \(-1\) \(1\) \(-3\) \(0\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{3}-q^{4}-3q^{5}-q^{6}+3q^{8}+\cdots\)
3381.2.a.d \(1\) \(26.997\) \(\Q\) None \(-1\) \(1\) \(1\) \(0\) \(-\) \(+\) \(-\) \(q-q^{2}+q^{3}-q^{4}+q^{5}-q^{6}+3q^{8}+\cdots\)
3381.2.a.h \(1\) \(26.997\) \(\Q\) None \(0\) \(1\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q+q^{3}-2q^{4}+q^{9}-2q^{11}-2q^{12}+\cdots\)
3381.2.a.s \(2\) \(26.997\) \(\Q(\sqrt{17}) \) None \(-1\) \(2\) \(-1\) \(0\) \(-\) \(+\) \(-\) \(q-\beta q^{2}+q^{3}+(2+\beta )q^{4}-\beta q^{5}-\beta q^{6}+\cdots\)
3381.2.a.bh \(10\) \(26.997\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-4\) \(10\) \(-4\) \(0\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+(\beta _{3}-\beta _{8}+\cdots)q^{5}+\cdots\)
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