Label Dim. $$A$$ Field CM Traces A-L signs $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$ 2 11 13
572.2.a.b $$2$$ $$4.567$$ $$\Q(\sqrt{13})$$ None $$0$$ $$-3$$ $$0$$ $$-3$$ $$-$$ $$+$$ $$-$$ $$q+(-1-\beta )q^{3}+(-2+\beta )q^{7}+(1+3\beta )q^{9}+\cdots$$
572.2.a.e $$3$$ $$4.567$$ 3.3.229.1 None $$0$$ $$-2$$ $$-1$$ $$-7$$ $$-$$ $$-$$ $$+$$ $$q+(-1-\beta _{2})q^{3}+(\beta _{1}+\beta _{2})q^{5}+(-2+\cdots)q^{7}+\cdots$$