Results (1-50 of 94 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
2028.1.d.a $$1$$ $$1.012$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$-1$$ $$q+q^{3}-q^{7}+q^{9}+2q^{19}-q^{21}+q^{25}+\cdots$$
2028.1.d.b $$1$$ $$1.012$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$1$$ $$q+q^{3}+q^{7}+q^{9}-2q^{19}+q^{21}+q^{25}+\cdots$$
2028.1.d.c $$2$$ $$1.012$$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-q^{3}-\beta q^{7}+q^{9}+\beta q^{21}+q^{25}+\cdots$$
2028.1.g.a $$2$$ $$1.012$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-q^{3}+(\zeta_{6}+\zeta_{6}^{2})q^{7}+q^{9}+(-\zeta_{6}+\cdots)q^{21}+\cdots$$
2028.1.g.b $$2$$ $$1.012$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+q^{3}-iq^{7}+q^{9}-iq^{19}-iq^{21}+\cdots$$
2028.1.l.a $$2$$ $$1.012$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-39})$$ None $$-2$$ $$0$$ $$-2$$ $$0$$ $$q-q^{2}+iq^{3}+q^{4}+(-1-i)q^{5}-iq^{6}+\cdots$$
2028.1.l.b $$2$$ $$1.012$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-iq^{2}-iq^{3}-q^{4}+(-1-i)q^{5}+\cdots$$
2028.1.l.c $$2$$ $$1.012$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+iq^{2}-iq^{3}-q^{4}+(1+i)q^{5}+q^{6}+\cdots$$
2028.1.l.d $$2$$ $$1.012$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-39})$$ None $$2$$ $$0$$ $$2$$ $$0$$ $$q+q^{2}+iq^{3}+q^{4}+(1+i)q^{5}+iq^{6}+\cdots$$
2028.1.o.a $$2$$ $$1.012$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$-1$$ $$q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{7}-\zeta_{6}q^{9}+\zeta_{6}q^{19}+\cdots$$
2028.1.o.b $$4$$ $$1.012$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+\zeta_{12}^{2}q^{3}+(-\zeta_{12}^{3}-\zeta_{12}^{5})q^{7}+\cdots$$
2028.1.s.a $$2$$ $$1.012$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$3$$ $$q+\zeta_{6}q^{3}+(1+\zeta_{6})q^{7}+\zeta_{6}^{2}q^{9}+(\zeta_{6}+\cdots)q^{21}+\cdots$$
2028.1.s.b $$4$$ $$1.012$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+\zeta_{12}^{4}q^{3}+\zeta_{12}^{5}q^{7}-\zeta_{12}^{2}q^{9}+\cdots$$
2028.1.v.a $$4$$ $$1.012$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-39})$$ None $$-2$$ $$0$$ $$4$$ $$0$$ $$q-\zeta_{12}^{2}q^{2}-\zeta_{12}^{5}q^{3}+\zeta_{12}^{4}q^{4}+\cdots$$
2028.1.v.b $$4$$ $$1.012$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+\zeta_{12}^{5}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{4}+\cdots$$
2028.1.v.c $$4$$ $$1.012$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q-\zeta_{12}^{5}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{4}+\cdots$$
2028.1.v.d $$4$$ $$1.012$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-39})$$ None $$2$$ $$0$$ $$-4$$ $$0$$ $$q+\zeta_{12}^{2}q^{2}-\zeta_{12}^{5}q^{3}+\zeta_{12}^{4}q^{4}+\cdots$$
2028.1.bm.a $$24$$ $$1.012$$ $$\Q(\zeta_{39})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$3$$ $$q+\zeta_{78}^{29}q^{3}+(\zeta_{78}^{8}+\zeta_{78}^{15})q^{7}+\cdots$$
2028.1.bq.a $$24$$ $$1.012$$ $$\Q(\zeta_{39})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$-1$$ $$q-\zeta_{78}^{37}q^{3}+(-\zeta_{78}^{3}-\zeta_{78}^{25})q^{7}+\cdots$$
2028.2.a.a $$1$$ $$16.194$$ $$\Q$$ None None $$0$$ $$-1$$ $$-2$$ $$-1$$ $$-$$ $$q-q^{3}-2q^{5}-q^{7}+q^{9}-2q^{11}+2q^{15}+\cdots$$
2028.2.a.b $$1$$ $$16.194$$ $$\Q$$ None None $$0$$ $$-1$$ $$2$$ $$1$$ $$-$$ $$q-q^{3}+2q^{5}+q^{7}+q^{9}+2q^{11}-2q^{15}+\cdots$$
2028.2.a.c $$1$$ $$16.194$$ $$\Q$$ None None $$0$$ $$-1$$ $$4$$ $$2$$ $$-$$ $$q-q^{3}+4q^{5}+2q^{7}+q^{9}+4q^{11}+\cdots$$
2028.2.a.d $$1$$ $$16.194$$ $$\Q$$ None None $$0$$ $$1$$ $$-2$$ $$4$$ $$-$$ $$q+q^{3}-2q^{5}+4q^{7}+q^{9}-6q^{11}+\cdots$$
2028.2.a.e $$1$$ $$16.194$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$-2$$ $$+$$ $$q+q^{3}-2q^{7}+q^{9}-6q^{17}-2q^{19}+\cdots$$
2028.2.a.f $$1$$ $$16.194$$ $$\Q$$ None None $$0$$ $$1$$ $$2$$ $$-4$$ $$-$$ $$q+q^{3}+2q^{5}-4q^{7}+q^{9}+6q^{11}+\cdots$$
2028.2.a.g $$2$$ $$16.194$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$+$$ $$q-q^{3}+\beta q^{5}+q^{9}-\beta q^{11}-\beta q^{15}+\cdots$$
2028.2.a.h $$2$$ $$16.194$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$+$$ $$q-q^{3}+\beta q^{5}-2\beta q^{7}+q^{9}+2\beta q^{11}+\cdots$$
2028.2.a.i $$3$$ $$16.194$$ $$\Q(\zeta_{14})^+$$ None None $$0$$ $$-3$$ $$-2$$ $$6$$ $$-$$ $$q-q^{3}+(-1-\beta _{2})q^{5}+(1+2\beta _{1}-\beta _{2})q^{7}+\cdots$$
2028.2.a.j $$3$$ $$16.194$$ $$\Q(\zeta_{14})^+$$ None None $$0$$ $$-3$$ $$2$$ $$-6$$ $$+$$ $$q-q^{3}+(1-\beta _{1})q^{5}+(-3+\beta _{1}-2\beta _{2})q^{7}+\cdots$$
2028.2.a.k $$3$$ $$16.194$$ $$\Q(\zeta_{14})^+$$ None None $$0$$ $$3$$ $$0$$ $$-6$$ $$+$$ $$q+q^{3}+(1-2\beta _{1}+\beta _{2})q^{5}+(-3+2\beta _{1}+\cdots)q^{7}+\cdots$$
2028.2.a.l $$3$$ $$16.194$$ $$\Q(\zeta_{14})^+$$ None None $$0$$ $$3$$ $$0$$ $$6$$ $$-$$ $$q+q^{3}+(-\beta _{1}-\beta _{2})q^{5}+(2+\beta _{1}+\beta _{2})q^{7}+\cdots$$
2028.2.a.m $$4$$ $$16.194$$ $$\Q(\sqrt{3}, \sqrt{43})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$-$$ $$q+q^{3}+\beta _{1}q^{5}+(\beta _{1}-\beta _{2})q^{7}+q^{9}+\cdots$$
2028.2.b.a $$2$$ $$16.194$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-q^{3}+2iq^{5}-iq^{7}+q^{9}-2iq^{11}+\cdots$$
2028.2.b.b $$2$$ $$16.194$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-q^{3}-\zeta_{6}q^{5}-2\zeta_{6}q^{7}+q^{9}+2\zeta_{6}q^{11}+\cdots$$
2028.2.b.c $$2$$ $$16.194$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-q^{3}+2iq^{5}-iq^{7}+q^{9}-2iq^{11}+\cdots$$
2028.2.b.d $$2$$ $$16.194$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $$q+q^{3}+iq^{7}+q^{9}+6q^{17}-iq^{19}+\cdots$$
2028.2.b.e $$4$$ $$16.194$$ $$\Q(\sqrt{-3}, \sqrt{-43})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q+q^{3}+(-\beta _{1}-\beta _{3})q^{5}+\beta _{3}q^{7}+q^{9}+\cdots$$
2028.2.b.f $$6$$ $$16.194$$ 6.0.153664.1 None None $$0$$ $$-6$$ $$0$$ $$0$$ $$q-q^{3}+(\beta _{3}+\beta _{5})q^{5}+(-2\beta _{1}+\beta _{3}+\cdots)q^{7}+\cdots$$
2028.2.b.g $$6$$ $$16.194$$ 6.0.153664.1 None None $$0$$ $$6$$ $$0$$ $$0$$ $$q+q^{3}+(\beta _{1}+\beta _{3})q^{5}+(\beta _{1}+\beta _{3}-2\beta _{5})q^{7}+\cdots$$
2028.2.i.a $$2$$ $$16.194$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$-4$$ $$-4$$ $$q+(-1+\zeta_{6})q^{3}-2q^{5}-4\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots$$
2028.2.i.b $$2$$ $$16.194$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$0$$ $$-2$$ $$q+(-1+\zeta_{6})q^{3}-2\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots$$
2028.2.i.c $$2$$ $$16.194$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$0$$ $$2$$ $$q+(-1+\zeta_{6})q^{3}+2\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots$$
2028.2.i.d $$2$$ $$16.194$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$4$$ $$4$$ $$q+(-1+\zeta_{6})q^{3}+2q^{5}+4\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots$$
2028.2.i.e $$2$$ $$16.194$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$-8$$ $$2$$ $$q+(1-\zeta_{6})q^{3}-4q^{5}+2\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots$$
2028.2.i.f $$2$$ $$16.194$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$-4$$ $$1$$ $$q+(1-\zeta_{6})q^{3}-2q^{5}+\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots$$
2028.2.i.g $$2$$ $$16.194$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$8$$ $$-2$$ $$q+(1-\zeta_{6})q^{3}+4q^{5}-2\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots$$
2028.2.i.h $$4$$ $$16.194$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{3}-\zeta_{12}^{3}q^{5}+(2\zeta_{12}^{2}-2\zeta_{12}^{3})q^{7}+\cdots$$
2028.2.i.i $$4$$ $$16.194$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{3}-\zeta_{12}^{3}q^{5}+(-1+\zeta_{12}+\cdots)q^{9}+\cdots$$
2028.2.i.j $$6$$ $$16.194$$ 6.0.64827.1 None None $$0$$ $$-3$$ $$0$$ $$-6$$ $$q+(-1+\beta _{5})q^{3}+(1-2\beta _{2}+\beta _{3})q^{5}+\cdots$$
2028.2.i.k $$6$$ $$16.194$$ 6.0.64827.1 None None $$0$$ $$-3$$ $$0$$ $$6$$ $$q-\beta _{5}q^{3}+(-1+2\beta _{2}-\beta _{3})q^{5}+(1+\cdots)q^{7}+\cdots$$