## Results (8 matches)

Label Dim. $$A$$ Field CM Traces A-L signs $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$ 7 11
847.2.a.c $$1$$ $$6.763$$ $$\Q$$ None $$0$$ $$1$$ $$3$$ $$-1$$ $$+$$ $$-$$ $$q+q^{3}-2q^{4}+3q^{5}-q^{7}-2q^{9}-2q^{12}+\cdots$$
847.2.a.f $$2$$ $$6.763$$ $$\Q(\sqrt{5})$$ None $$0$$ $$2$$ $$-4$$ $$-2$$ $$+$$ $$-$$ $$q-\beta q^{2}+(1-\beta )q^{3}+3q^{4}-2q^{5}+(5+\cdots)q^{6}+\cdots$$
847.2.a.g $$2$$ $$6.763$$ $$\Q(\sqrt{13})$$ None $$1$$ $$-1$$ $$0$$ $$-2$$ $$+$$ $$-$$ $$q+\beta q^{2}-\beta q^{3}+(1+\beta )q^{4}+(-1+2\beta )q^{5}+\cdots$$
847.2.a.h $$2$$ $$6.763$$ $$\Q(\sqrt{5})$$ None $$3$$ $$-1$$ $$2$$ $$-2$$ $$+$$ $$-$$ $$q+(1+\beta )q^{2}+(-1+\beta )q^{3}+3\beta q^{4}+\cdots$$
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.o $$8$$ $$6.763$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$-1$$ $$4$$ $$10$$ $$-8$$ $$+$$ $$-$$ $$q-\beta _{1}q^{2}+(1-\beta _{4}-\beta _{7})q^{3}+(1+\beta _{5}+\cdots)q^{4}+\cdots$$
847.2.a.p $$8$$ $$6.763$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$1$$ $$4$$ $$10$$ $$8$$ $$-$$ $$+$$ $$q+\beta _{1}q^{2}+(1-\beta _{4}-\beta _{7})q^{3}+(1+\beta _{5}+\cdots)q^{4}+\cdots$$