Results (1-50 of 82 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
3549.1.o.a $$2$$ $$1.771$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+iq^{3}-iq^{4}-q^{7}-q^{9}+q^{12}-q^{16}+\cdots$$
3549.1.o.b $$2$$ $$1.771$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{3}-iq^{4}-iq^{7}-q^{9}-q^{12}+\cdots$$
3549.1.s.a $$2$$ $$1.771$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$1$$ $$q-\zeta_{6}q^{3}+q^{4}+\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}-\zeta_{6}q^{12}+\cdots$$
3549.1.s.b $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$q+\zeta_{12}^{3}q^{2}-\zeta_{12}q^{3}-\zeta_{12}q^{5}-\zeta_{12}^{4}q^{6}+\cdots$$
3549.1.s.c $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q-\zeta_{12}^{4}q^{3}+q^{4}-\zeta_{12}q^{7}-\zeta_{12}^{2}q^{9}+\cdots$$
3549.1.w.a $$2$$ $$1.771$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$-2$$ $$q-\zeta_{6}^{2}q^{3}-\zeta_{6}^{2}q^{4}-q^{7}-\zeta_{6}q^{9}+\cdots$$
3549.1.w.b $$2$$ $$1.771$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$2$$ $$q-\zeta_{6}^{2}q^{3}-\zeta_{6}^{2}q^{4}+q^{7}-\zeta_{6}q^{9}+\cdots$$
3549.1.w.c $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ None None $$-2$$ $$0$$ $$-2$$ $$0$$ $$q+\zeta_{12}^{4}q^{2}+\zeta_{12}^{5}q^{3}+\zeta_{12}^{4}q^{5}+\cdots$$
3549.1.w.d $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-\zeta_{12}^{2}q^{3}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{3}q^{7}+\cdots$$
3549.1.w.e $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ None None $$2$$ $$0$$ $$2$$ $$0$$ $$q-\zeta_{12}^{4}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{5}+\cdots$$
3549.1.x.a $$2$$ $$1.771$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-2$$ $$0$$ $$1$$ $$q-q^{3}+\zeta_{6}q^{4}-\zeta_{6}^{2}q^{7}+q^{9}-\zeta_{6}q^{12}+\cdots$$
3549.1.x.b $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ None None $$-2$$ $$0$$ $$-2$$ $$0$$ $$q-\zeta_{12}^{2}q^{2}-\zeta_{12}^{3}q^{3}+\zeta_{12}^{4}q^{5}+\cdots$$
3549.1.x.c $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$4$$ $$0$$ $$0$$ $$q+q^{3}-\zeta_{12}^{4}q^{4}+\zeta_{12}^{5}q^{7}+q^{9}+\cdots$$
3549.1.x.d $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ None None $$2$$ $$0$$ $$2$$ $$0$$ $$q+\zeta_{12}^{2}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}^{4}q^{5}+\cdots$$
3549.1.bk.a $$2$$ $$1.771$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$-2$$ $$q+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-q^{7}-\zeta_{6}q^{9}+\cdots$$
3549.1.bk.b $$2$$ $$1.771$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$2$$ $$q+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}+q^{7}-\zeta_{6}q^{9}+\cdots$$
3549.1.bk.c $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$q-\zeta_{12}q^{2}-\zeta_{12}^{5}q^{3}-\zeta_{12}q^{5}-q^{6}+\cdots$$
3549.1.bk.d $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+\zeta_{12}q^{2}-\zeta_{12}^{5}q^{3}+\zeta_{12}q^{5}+q^{6}+\cdots$$
3549.1.bk.e $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+\zeta_{12}^{2}q^{3}-\zeta_{12}^{2}q^{4}-\zeta_{12}^{3}q^{7}+\cdots$$
3549.1.bm.a $$2$$ $$1.771$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$2$$ $$0$$ $$1$$ $$q+q^{3}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{7}+q^{9}-\zeta_{6}q^{12}+\cdots$$
3549.1.bm.b $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-4$$ $$0$$ $$0$$ $$q-q^{3}+\zeta_{12}^{4}q^{4}+\zeta_{12}^{5}q^{7}+q^{9}+\cdots$$
3549.1.bm.c $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{3}q^{3}+\zeta_{12}q^{5}+\zeta_{12}^{2}q^{6}+\cdots$$
3549.1.bp.a $$2$$ $$1.771$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$-1$$ $$q+\zeta_{6}q^{3}-q^{4}-\zeta_{6}q^{7}+\zeta_{6}^{2}q^{9}-\zeta_{6}q^{12}+\cdots$$
3549.1.bp.b $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ None None $$-4$$ $$0$$ $$2$$ $$0$$ $$q-q^{2}-\zeta_{12}q^{3}-\zeta_{12}^{4}q^{5}+\zeta_{12}q^{6}+\cdots$$
3549.1.bp.c $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+\zeta_{12}^{4}q^{3}-q^{4}-\zeta_{12}q^{7}-\zeta_{12}^{2}q^{9}+\cdots$$
3549.1.bp.d $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ None None $$4$$ $$0$$ $$-2$$ $$0$$ $$q+q^{2}-\zeta_{12}q^{3}+\zeta_{12}^{4}q^{5}-\zeta_{12}q^{6}+\cdots$$
3549.1.bs.a $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-\zeta_{12}q^{3}-\zeta_{12}^{3}q^{4}+\zeta_{12}^{4}q^{7}+\zeta_{12}^{2}q^{9}+\cdots$$
3549.1.bs.b $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{3}-\zeta_{12}^{3}q^{4}+\zeta_{12}q^{7}+\zeta_{12}^{2}q^{9}+\cdots$$
3549.1.bs.c $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q-\zeta_{12}q^{3}-\zeta_{12}^{3}q^{4}-\zeta_{12}^{4}q^{7}+\zeta_{12}^{2}q^{9}+\cdots$$
3549.1.ca.a $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+\zeta_{12}q^{3}-\zeta_{12}^{5}q^{4}-\zeta_{12}^{2}q^{7}+\zeta_{12}^{2}q^{9}+\cdots$$
3549.1.ca.b $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{3}-\zeta_{12}^{5}q^{4}+\zeta_{12}^{5}q^{7}+\zeta_{12}^{2}q^{9}+\cdots$$
3549.1.ca.c $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{3}-\zeta_{12}^{5}q^{4}-\zeta_{12}^{5}q^{7}+\zeta_{12}^{2}q^{9}+\cdots$$
3549.1.ca.d $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q+\zeta_{12}q^{3}-\zeta_{12}^{5}q^{4}+\zeta_{12}^{2}q^{7}+\zeta_{12}^{2}q^{9}+\cdots$$
3549.1.cb.a $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $$q-\zeta_{12}q^{3}+\zeta_{12}q^{4}-q^{7}+\zeta_{12}^{2}q^{9}+\cdots$$
3549.1.cb.b $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{3}+\zeta_{12}q^{4}-\zeta_{12}^{3}q^{7}+\zeta_{12}^{2}q^{9}+\cdots$$
3549.1.cb.c $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{3}+\zeta_{12}q^{4}+\zeta_{12}^{3}q^{7}+\zeta_{12}^{2}q^{9}+\cdots$$
3549.1.cb.d $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $$q-\zeta_{12}q^{3}+\zeta_{12}q^{4}+q^{7}+\zeta_{12}^{2}q^{9}+\cdots$$
3549.1.ch.a $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{3}q^{3}-\zeta_{12}^{5}q^{4}+\zeta_{12}q^{7}-q^{9}+\cdots$$
3549.1.ch.b $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{3}q^{3}-\zeta_{12}^{5}q^{4}-\zeta_{12}q^{7}-q^{9}+\cdots$$
3549.1.ch.c $$4$$ $$1.771$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q-\zeta_{12}^{3}q^{3}-\zeta_{12}^{5}q^{4}-\zeta_{12}^{4}q^{7}+\cdots$$
3549.1.cv.a $$24$$ $$1.771$$ $$\Q(\zeta_{52})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-\zeta_{52}^{11}q^{3}-\zeta_{52}^{5}q^{4}+\zeta_{52}^{12}q^{7}+\cdots$$
3549.1.cv.b $$24$$ $$1.771$$ $$\Q(\zeta_{52})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{52}^{11}q^{3}-\zeta_{52}^{5}q^{4}-\zeta_{52}^{3}q^{7}+\cdots$$
3549.1.da.a $$24$$ $$1.771$$ $$\Q(\zeta_{39})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$-1$$ $$q-\zeta_{78}^{20}q^{3}+\zeta_{78}^{15}q^{4}+\zeta_{78}^{35}q^{7}+\cdots$$
3549.1.dd.a $$24$$ $$1.771$$ $$\Q(\zeta_{39})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-2$$ $$0$$ $$1$$ $$q+\zeta_{78}^{18}q^{3}+\zeta_{78}^{20}q^{4}+\zeta_{78}^{22}q^{7}+\cdots$$
3549.1.ds.a $$24$$ $$1.771$$ $$\Q(\zeta_{39})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$2$$ $$0$$ $$1$$ $$q+\zeta_{78}^{15}q^{3}-\zeta_{78}^{8}q^{4}-\zeta_{78}q^{7}+\cdots$$
3549.1.dx.a $$24$$ $$1.771$$ $$\Q(\zeta_{39})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$1$$ $$q+\zeta_{78}^{20}q^{3}-\zeta_{78}^{15}q^{4}-\zeta_{78}^{35}q^{7}+\cdots$$
3549.1.ea.a $$48$$ $$1.771$$ $$\Q(\zeta_{156})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q-\zeta_{156}^{3}q^{3}-\zeta_{156}^{77}q^{4}-\zeta_{156}^{34}q^{7}+\cdots$$
3549.1.ep.a $$48$$ $$1.771$$ $$\Q(\zeta_{156})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{156}^{55}q^{3}-\zeta_{156}^{51}q^{4}+\zeta_{156}^{67}q^{7}+\cdots$$
3549.2.a.a $$1$$ $$28.339$$ $$\Q$$ None None $$-2$$ $$1$$ $$-3$$ $$-1$$ $$+$$ $$q-2q^{2}+q^{3}+2q^{4}-3q^{5}-2q^{6}+\cdots$$
3549.2.a.b $$1$$ $$28.339$$ $$\Q$$ None None $$-2$$ $$1$$ $$-1$$ $$1$$ $$+$$ $$q-2q^{2}+q^{3}+2q^{4}-q^{5}-2q^{6}+q^{7}+\cdots$$