Label Dim. $$A$$ Field CM Traces A-L signs $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$ 2 3 7 17
4998.2.a.w $$1$$ $$39.909$$ $$\Q$$ None $$-1$$ $$1$$ $$3$$ $$0$$ $$+$$ $$-$$ $$+$$ $$+$$ $$q-q^{2}+q^{3}+q^{4}+3q^{5}-q^{6}-q^{8}+\cdots$$
4998.2.a.bv $$2$$ $$39.909$$ $$\Q(\sqrt{2})$$ None $$-2$$ $$2$$ $$-2$$ $$0$$ $$+$$ $$-$$ $$+$$ $$+$$ $$q-q^{2}+q^{3}+q^{4}+(-1+\beta )q^{5}-q^{6}+\cdots$$
4998.2.a.cm $$4$$ $$39.909$$ 4.4.31808.1 None $$-4$$ $$4$$ $$-2$$ $$0$$ $$+$$ $$-$$ $$+$$ $$+$$ $$q-q^{2}+q^{3}+q^{4}+(-1+\beta _{1})q^{5}-q^{6}+\cdots$$