Label Dim. $$A$$ Field CM Traces A-L signs $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$ 2 7 41
574.2.a.i $$1$$ $$4.583$$ $$\Q$$ None $$1$$ $$-1$$ $$1$$ $$1$$ $$-$$ $$-$$ $$-$$ $$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$$
574.2.a.k $$2$$ $$4.583$$ $$\Q(\sqrt{3})$$ None $$2$$ $$4$$ $$2$$ $$2$$ $$-$$ $$-$$ $$-$$ $$q+q^{2}+2q^{3}+q^{4}+(1+\beta )q^{5}+2q^{6}+\cdots$$