Label Dim. $$A$$ Field CM Traces A-L signs $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$ 7 19
931.2.a.f $$2$$ $$7.434$$ $$\Q(\sqrt{2})$$ None $$-2$$ $$0$$ $$2$$ $$0$$ $$+$$ $$+$$ $$q+(-1+\beta )q^{2}-\beta q^{3}+(1-2\beta )q^{4}+\cdots$$
931.2.a.i $$2$$ $$7.434$$ $$\Q(\sqrt{2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$+$$ $$+$$ $$q+\beta q^{2}+\beta q^{3}-2\beta q^{5}+2q^{6}-2\beta q^{8}+\cdots$$
931.2.a.p $$10$$ $$7.434$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None $$-2$$ $$-4$$ $$-16$$ $$0$$ $$+$$ $$+$$ $$q-\beta _{1}q^{2}-\beta _{4}q^{3}+(1+\beta _{2})q^{4}+(-2+\cdots)q^{5}+\cdots$$