Label Dim. $$A$$ Field CM Traces A-L signs $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$ 2 3 5 67
8040.2.a.q $$6$$ $$64.200$$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None $$0$$ $$-6$$ $$6$$ $$-2$$ $$-$$ $$+$$ $$-$$ $$+$$ $$q-q^{3}+q^{5}-\beta _{1}q^{7}+q^{9}+(-1-\beta _{4}+\cdots)q^{11}+\cdots$$
8040.2.a.r $$6$$ $$64.200$$ 6.6.15350572.1 None $$0$$ $$6$$ $$-6$$ $$-3$$ $$+$$ $$-$$ $$+$$ $$-$$ $$q+q^{3}-q^{5}+(-1+\beta _{4})q^{7}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots$$
8040.2.a.s $$6$$ $$64.200$$ 6.6.24199421.1 None $$0$$ $$6$$ $$6$$ $$-1$$ $$+$$ $$-$$ $$-$$ $$+$$ $$q+q^{3}+q^{5}+\beta _{4}q^{7}+q^{9}+(-\beta _{1}-\beta _{3}+\cdots)q^{11}+\cdots$$