Label Dim. $$A$$ Field CM Traces A-L signs $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$ 7 11
847.2.a.i $$3$$ $$6.763$$ 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.l $$4$$ $$6.763$$ 4.4.2525.1 None $$2$$ $$-2$$ $$-6$$ $$-4$$ $$+$$ $$+$$ $$q+\beta _{1}q^{2}+(-1-\beta _{2})q^{3}+(1+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
847.2.a.m $$6$$ $$6.763$$ 6.6.7674048.1 None $$-4$$ $$-2$$ $$-4$$ $$-6$$ $$+$$ $$+$$ $$q+(-1+\beta _{1})q^{2}+\beta _{5}q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$