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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 7 41
2009.2.a.d \(2\) \(16.042\) \(\Q(\sqrt{13}) \) None \(0\) \(1\) \(-1\) \(0\) \(+\) \(+\) \(q+\beta q^{3}-2q^{4}+(-1+\beta )q^{5}+\beta q^{9}+\cdots\)
2009.2.a.f \(2\) \(16.042\) \(\Q(\sqrt{5}) \) None \(1\) \(2\) \(-2\) \(0\) \(+\) \(+\) \(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}-q^{5}+\beta q^{6}+\cdots\)
2009.2.a.l \(5\) \(16.042\) 5.5.233489.1 None \(-2\) \(-2\) \(2\) \(0\) \(+\) \(+\) \(q-\beta _{2}q^{2}-\beta _{3}q^{3}+(1+\beta _{1})q^{4}+\beta _{3}q^{5}+\cdots\)
2009.2.a.t \(20\) \(16.042\) \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(-2\) \(-8\) \(-8\) \(0\) \(+\) \(+\) \(q-\beta _{1}q^{2}-\beta _{9}q^{3}+(1+\beta _{2})q^{4}-\beta _{18}q^{5}+\cdots\)
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