Label Dim. $$A$$ Field CM Traces A-L signs $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$ 2 3 149
8046.2.a.a $$1$$ $$64.248$$ $$\Q$$ None $$-1$$ $$0$$ $$2$$ $$1$$ $$+$$ $$+$$ $$+$$ $$q-q^{2}+q^{4}+2q^{5}+q^{7}-q^{8}-2q^{10}+\cdots$$
8046.2.a.e $$8$$ $$64.248$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$-8$$ $$0$$ $$0$$ $$-5$$ $$+$$ $$+$$ $$+$$ $$q-q^{2}+q^{4}+\beta _{1}q^{5}+(-1-\beta _{5})q^{7}+\cdots$$
8046.2.a.j $$12$$ $$64.248$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$-12$$ $$0$$ $$-3$$ $$6$$ $$+$$ $$+$$ $$+$$ $$q-q^{2}+q^{4}-\beta _{1}q^{5}+(1+\beta _{6})q^{7}-q^{8}+\cdots$$