## Results (1-50 of 88 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
3380.1.g.a $$2$$ $$1.687$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$0$$ $$-1$$ $$0$$ $$q-q^{2}+q^{4}+\zeta_{6}^{2}q^{5}-q^{8}-q^{9}-\zeta_{6}^{2}q^{10}+\cdots$$
3380.1.g.b $$2$$ $$1.687$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$1$$ $$0$$ $$q+q^{2}+q^{4}-\zeta_{6}^{2}q^{5}+q^{8}-q^{9}-\zeta_{6}^{2}q^{10}+\cdots$$
3380.1.g.c $$6$$ $$1.687$$ 6.0.153664.1 $$\Q(\sqrt{-5})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+\beta _{5}q^{2}-\beta _{4}q^{3}-q^{4}+\beta _{5}q^{5}-\beta _{1}q^{6}+\cdots$$
3380.1.g.d $$6$$ $$1.687$$ 6.0.153664.1 $$\Q(\sqrt{-5})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+\beta _{5}q^{2}+\beta _{4}q^{3}-q^{4}-\beta _{5}q^{5}+\beta _{1}q^{6}+\cdots$$
3380.1.h.a $$2$$ $$1.687$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-65})$$ $$\Q(\sqrt{65})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-q^{4}-iq^{5}-iq^{8}-q^{9}+q^{10}+\cdots$$
3380.1.h.b $$3$$ $$1.687$$ $$\Q(\zeta_{14})^+$$ $$\Q(\sqrt{-5})$$ None $$-3$$ $$-1$$ $$-3$$ $$1$$ $$q-q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots$$
3380.1.h.c $$3$$ $$1.687$$ $$\Q(\zeta_{14})^+$$ $$\Q(\sqrt{-5})$$ None $$-3$$ $$1$$ $$3$$ $$1$$ $$q-q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}-\beta _{1}q^{6}+\cdots$$
3380.1.h.d $$3$$ $$1.687$$ $$\Q(\zeta_{14})^+$$ $$\Q(\sqrt{-5})$$ None $$3$$ $$-1$$ $$3$$ $$-1$$ $$q+q^{2}-\beta _{1}q^{3}+q^{4}+q^{5}-\beta _{1}q^{6}+\cdots$$
3380.1.h.e $$3$$ $$1.687$$ $$\Q(\zeta_{14})^+$$ $$\Q(\sqrt{-5})$$ None $$3$$ $$1$$ $$-3$$ $$-1$$ $$q+q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots$$
3380.1.h.f $$4$$ $$1.687$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{3}q^{2}-q^{4}-\zeta_{12}q^{5}+\zeta_{12}^{3}q^{8}+\cdots$$
3380.1.l.a $$2$$ $$1.687$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-iq^{2}-q^{4}-q^{5}+iq^{8}+iq^{9}+iq^{10}+\cdots$$
3380.1.l.b $$4$$ $$1.687$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-\zeta_{12}^{3}q^{2}-q^{4}-\zeta_{12}^{2}q^{5}+\zeta_{12}^{3}q^{8}+\cdots$$
3380.1.l.c $$4$$ $$1.687$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q-\zeta_{12}^{3}q^{2}-q^{4}+\zeta_{12}^{2}q^{5}+\zeta_{12}^{3}q^{8}+\cdots$$
3380.1.s.a $$2$$ $$1.687$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+q^{4}-iq^{5}+q^{8}+iq^{9}-iq^{10}+\cdots$$
3380.1.s.b $$4$$ $$1.687$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$-4$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+q^{4}-\zeta_{12}q^{5}-q^{8}+\zeta_{12}^{3}q^{9}+\cdots$$
3380.1.s.c $$4$$ $$1.687$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$4$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+q^{4}+\zeta_{12}^{5}q^{5}+q^{8}+\zeta_{12}^{3}q^{9}+\cdots$$
3380.1.v.a $$4$$ $$1.687$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-65})$$ $$\Q(\sqrt{65})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{3}q^{5}-\zeta_{12}^{3}q^{8}+\cdots$$
3380.1.v.b $$4$$ $$1.687$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}-\zeta_{12}q^{5}+\zeta_{12}^{3}q^{8}+\cdots$$
3380.1.v.c $$4$$ $$1.687$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{5}q^{5}-\zeta_{12}^{3}q^{8}+\cdots$$
3380.1.v.d $$6$$ $$1.687$$ 6.0.64827.1 $$\Q(\sqrt{-5})$$ None $$-3$$ $$-1$$ $$-6$$ $$1$$ $$q-\beta _{5}q^{2}+(-\beta _{1}+\beta _{2}-\beta _{3}-\beta _{4}-\beta _{5})q^{3}+\cdots$$
3380.1.v.e $$6$$ $$1.687$$ 6.0.64827.1 $$\Q(\sqrt{-5})$$ None $$-3$$ $$1$$ $$6$$ $$1$$ $$q-\beta _{5}q^{2}+(\beta _{1}-\beta _{2}+\beta _{3}+\beta _{4}+\beta _{5})q^{3}+\cdots$$
3380.1.v.f $$6$$ $$1.687$$ 6.0.64827.1 $$\Q(\sqrt{-5})$$ None $$3$$ $$-1$$ $$6$$ $$-1$$ $$q+\beta _{5}q^{2}+(-\beta _{1}+\beta _{2}-\beta _{3}-\beta _{4}-\beta _{5})q^{3}+\cdots$$
3380.1.v.g $$6$$ $$1.687$$ 6.0.64827.1 $$\Q(\sqrt{-5})$$ None $$3$$ $$1$$ $$-6$$ $$-1$$ $$q+\beta _{5}q^{2}+(\beta _{1}-\beta _{2}+\beta _{3}+\beta _{4}+\beta _{5})q^{3}+\cdots$$
3380.1.w.a $$2$$ $$1.687$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-65})$$ $$\Q(\sqrt{65})$$ $$-1$$ $$0$$ $$-2$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-q^{5}+q^{8}+\zeta_{6}q^{9}+\cdots$$
3380.1.w.b $$2$$ $$1.687$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-1})$$ None $$-1$$ $$0$$ $$1$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+q^{8}+\zeta_{6}q^{9}+\cdots$$
3380.1.w.c $$2$$ $$1.687$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-1})$$ None $$1$$ $$0$$ $$-1$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{5}-q^{8}+\cdots$$
3380.1.w.d $$2$$ $$1.687$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-65})$$ $$\Q(\sqrt{65})$$ $$1$$ $$0$$ $$2$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+q^{5}-q^{8}+\zeta_{6}q^{9}+\cdots$$
3380.1.w.e $$12$$ $$1.687$$ 12.0.$$\cdots$$.1 $$\Q(\sqrt{-5})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+\beta _{10}q^{2}+(-1+\beta _{3}+\beta _{5}-\beta _{9})q^{3}+\cdots$$
3380.1.w.f $$12$$ $$1.687$$ 12.0.$$\cdots$$.1 $$\Q(\sqrt{-5})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q-\beta _{6}q^{2}-\beta _{9}q^{3}+\beta _{7}q^{4}+(\beta _{6}-\beta _{10}+\cdots)q^{5}+\cdots$$
3380.1.be.a $$4$$ $$1.687$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{2}q^{2}+\zeta_{12}^{4}q^{4}-\zeta_{12}^{3}q^{5}+\cdots$$
3380.1.be.b $$4$$ $$1.687$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{2}q^{2}+\zeta_{12}^{4}q^{4}+\zeta_{12}^{5}q^{5}+\cdots$$
3380.1.be.c $$4$$ $$1.687$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{2}q^{2}+\zeta_{12}^{4}q^{4}+\zeta_{12}q^{5}+q^{8}+\cdots$$
3380.1.be.d $$4$$ $$1.687$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{2}q^{2}+\zeta_{12}^{4}q^{4}+\zeta_{12}^{3}q^{5}+\cdots$$
3380.1.be.e $$4$$ $$1.687$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{2}q^{2}+\zeta_{12}^{4}q^{4}-\zeta_{12}q^{5}-q^{8}+\cdots$$
3380.1.bl.a $$4$$ $$1.687$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{4}-q^{5}+\zeta_{12}^{3}q^{8}+\cdots$$
3380.1.bl.b $$4$$ $$1.687$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{4}-\zeta_{12}^{2}q^{5}+\cdots$$
3380.1.bl.c $$4$$ $$1.687$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{4}-\zeta_{12}^{4}q^{5}+\cdots$$
3380.1.bl.d $$4$$ $$1.687$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{4}+\zeta_{12}^{2}q^{5}+\cdots$$
3380.1.bl.e $$4$$ $$1.687$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q-\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{4}+q^{5}-\zeta_{12}^{3}q^{8}+\cdots$$
3380.1.bq.a $$12$$ $$1.687$$ $$\Q(\zeta_{26})$$ $$\Q(\sqrt{-1})$$ None $$-1$$ $$0$$ $$1$$ $$0$$ $$q+\zeta_{26}^{10}q^{2}-\zeta_{26}^{7}q^{4}-\zeta_{26}^{2}q^{5}+\cdots$$
3380.1.bq.b $$12$$ $$1.687$$ $$\Q(\zeta_{26})$$ $$\Q(\sqrt{-1})$$ None $$1$$ $$0$$ $$-1$$ $$0$$ $$q-\zeta_{26}^{10}q^{2}-\zeta_{26}^{7}q^{4}-\zeta_{26}^{9}q^{5}+\cdots$$
3380.1.bz.a $$24$$ $$1.687$$ $$\Q(\zeta_{52})$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{52}^{16}q^{2}-\zeta_{52}^{6}q^{4}+\zeta_{52}^{11}q^{5}+\cdots$$
3380.1.cg.a $$24$$ $$1.687$$ $$\Q(\zeta_{52})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+\zeta_{52}^{23}q^{2}-\zeta_{52}^{20}q^{4}-\zeta_{52}^{22}q^{5}+\cdots$$
3380.1.co.a $$24$$ $$1.687$$ $$\Q(\zeta_{39})$$ $$\Q(\sqrt{-1})$$ None $$-1$$ $$0$$ $$1$$ $$0$$ $$q+\zeta_{78}^{17}q^{2}+\zeta_{78}^{34}q^{4}-\zeta_{78}q^{5}+\cdots$$
3380.1.co.b $$24$$ $$1.687$$ $$\Q(\zeta_{39})$$ $$\Q(\sqrt{-1})$$ None $$1$$ $$0$$ $$-1$$ $$0$$ $$q-\zeta_{78}^{17}q^{2}+\zeta_{78}^{34}q^{4}-\zeta_{78}^{32}q^{5}+\cdots$$
3380.1.cs.a $$48$$ $$1.687$$ $$\Q(\zeta_{156})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q-\zeta_{156}^{41}q^{2}-\zeta_{156}^{4}q^{4}-\zeta_{156}^{46}q^{5}+\cdots$$
3380.1.cz.a $$48$$ $$1.687$$ $$\Q(\zeta_{156})$$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{156}^{46}q^{2}-\zeta_{156}^{14}q^{4}-\zeta_{156}^{43}q^{5}+\cdots$$
3380.2.a.a $$1$$ $$26.989$$ $$\Q$$ None None $$0$$ $$-3$$ $$-1$$ $$-3$$ $$-$$ $$q-3q^{3}-q^{5}-3q^{7}+6q^{9}-3q^{11}+\cdots$$
3380.2.a.b $$1$$ $$26.989$$ $$\Q$$ None None $$0$$ $$-3$$ $$1$$ $$3$$ $$+$$ $$q-3q^{3}+q^{5}+3q^{7}+6q^{9}+3q^{11}+\cdots$$
3380.2.a.c $$1$$ $$26.989$$ $$\Q$$ None None $$0$$ $$-2$$ $$1$$ $$-2$$ $$+$$ $$q-2q^{3}+q^{5}-2q^{7}+q^{9}-2q^{15}+\cdots$$