Label Dim. $$A$$ Field CM Traces A-L signs $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$ 7 11
847.2.a.j $$3$$ $$6.763$$ 3.3.568.1 None $$2$$ $$-1$$ $$1$$ $$3$$ $$-$$ $$+$$ $$q+(1-\beta _{1})q^{2}-\beta _{1}q^{3}+(3+\beta _{2})q^{4}+\cdots$$
847.2.a.n $$6$$ $$6.763$$ 6.6.7674048.1 None $$4$$ $$-2$$ $$-4$$ $$6$$ $$-$$ $$+$$ $$q+(1-\beta _{1})q^{2}+\beta _{5}q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
847.2.a.p $$8$$ $$6.763$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$1$$ $$4$$ $$10$$ $$8$$ $$-$$ $$+$$ $$q+\beta _{1}q^{2}+(1-\beta _{4}-\beta _{7})q^{3}+(1+\beta _{5}+\cdots)q^{4}+\cdots$$