Label Dim. $$A$$ Field CM Traces A-L signs $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$ 3 127
381.2.a.b $$1$$ $$3.042$$ $$\Q$$ None $$2$$ $$1$$ $$3$$ $$-4$$ $$-$$ $$+$$ $$q+2q^{2}+q^{3}+2q^{4}+3q^{5}+2q^{6}+\cdots$$
381.2.a.d $$5$$ $$3.042$$ 5.5.246832.1 None $$2$$ $$-5$$ $$1$$ $$0$$ $$+$$ $$-$$ $$q+\beta _{2}q^{2}-q^{3}+(\beta _{1}+\beta _{2}+\beta _{3}+\beta _{4})q^{4}+\cdots$$
381.2.a.e $$9$$ $$3.042$$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None $$-2$$ $$9$$ $$-4$$ $$10$$ $$-$$ $$+$$ $$q-\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}-\beta _{5}q^{5}+\cdots$$