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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 17 59
4012.2.a.c \(1\) \(32.036\) \(\Q\) None \(0\) \(-1\) \(-3\) \(1\) \(-\) \(+\) \(-\) \(q-q^{3}-3q^{5}+q^{7}-2q^{9}+2q^{11}+\cdots\)
4012.2.a.d \(2\) \(32.036\) \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(3\) \(-6\) \(-\) \(+\) \(-\) \(q-2\beta q^{3}+(2-\beta )q^{5}-3q^{7}+(1+4\beta )q^{9}+\cdots\)
4012.2.a.e \(2\) \(32.036\) \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-2\) \(0\) \(-\) \(+\) \(-\) \(q-\beta q^{3}-q^{5}+\beta q^{7}+2q^{9}-2\beta q^{11}+\cdots\)
4012.2.a.g \(12\) \(32.036\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(-4\) \(3\) \(2\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{3}+\beta _{9}q^{5}+(-\beta _{2}+\beta _{8}-\beta _{9}+\cdots)q^{7}+\cdots\)


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