## Results (1-50 of 118 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1560.1.y.a $$1$$ $$0.779$$ $$\Q$$ $$\Q(\sqrt{-39})$$, $$\Q(\sqrt{-390})$$ $$\Q(\sqrt{10})$$ $$-1$$ $$-1$$ $$1$$ $$0$$ $$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$$
1560.1.y.b $$1$$ $$0.779$$ $$\Q$$ $$\Q(\sqrt{-39})$$, $$\Q(\sqrt{-390})$$ $$\Q(\sqrt{10})$$ $$-1$$ $$1$$ $$1$$ $$0$$ $$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots$$
1560.1.y.c $$1$$ $$0.779$$ $$\Q$$ $$\Q(\sqrt{-39})$$, $$\Q(\sqrt{-390})$$ $$\Q(\sqrt{10})$$ $$1$$ $$-1$$ $$-1$$ $$0$$ $$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots$$
1560.1.y.d $$1$$ $$0.779$$ $$\Q$$ $$\Q(\sqrt{-39})$$, $$\Q(\sqrt{-390})$$ $$\Q(\sqrt{10})$$ $$1$$ $$1$$ $$-1$$ $$0$$ $$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$$
1560.1.y.e $$2$$ $$0.779$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-39})$$, $$\Q(\sqrt{-30})$$ $$\Q(\sqrt{130})$$ $$0$$ $$-2$$ $$0$$ $$0$$ $$q-iq^{2}-q^{3}-q^{4}-iq^{5}+iq^{6}+iq^{8}+\cdots$$
1560.1.y.f $$2$$ $$0.779$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-39})$$, $$\Q(\sqrt{-30})$$ $$\Q(\sqrt{130})$$ $$0$$ $$2$$ $$0$$ $$0$$ $$q-iq^{2}+q^{3}-q^{4}+iq^{5}-iq^{6}+iq^{8}+\cdots$$
1560.1.cs.a $$4$$ $$0.779$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-26})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{3}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{5}+\cdots$$
1560.1.cs.b $$4$$ $$0.779$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-26})$$ None $$0$$ $$4$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{2}+q^{3}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{5}+\cdots$$
1560.1.cs.c $$8$$ $$0.779$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-26})$$ None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+\zeta_{24}^{9}q^{2}+\zeta_{24}^{8}q^{3}-\zeta_{24}^{6}q^{4}+\cdots$$
1560.1.cs.d $$8$$ $$0.779$$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{16}^{5}q^{2}-\zeta_{16}^{2}q^{3}-\zeta_{16}^{2}q^{4}+\cdots$$
1560.1.cs.e $$8$$ $$0.779$$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{16}^{3}q^{2}+\zeta_{16}^{2}q^{3}+\zeta_{16}^{6}q^{4}+\cdots$$
1560.1.cs.f $$8$$ $$0.779$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-26})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{9}q^{2}+\zeta_{24}^{2}q^{3}-\zeta_{24}^{6}q^{4}+\cdots$$
1560.1.dk.a $$4$$ $$0.779$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-30})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{2}+\zeta_{12}^{4}q^{3}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{3}q^{5}+\cdots$$
1560.1.dk.b $$4$$ $$0.779$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-30})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{2}-\zeta_{12}^{4}q^{3}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{3}q^{5}+\cdots$$
1560.1.du.a $$2$$ $$0.779$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-30})$$ None $$-1$$ $$-1$$ $$2$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+q^{5}+\cdots$$
1560.1.du.b $$2$$ $$0.779$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-30})$$ None $$-1$$ $$1$$ $$-2$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-q^{5}+\cdots$$
1560.1.du.c $$2$$ $$0.779$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-30})$$ None $$1$$ $$-1$$ $$-2$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-q^{5}+\cdots$$
1560.1.du.d $$2$$ $$0.779$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-30})$$ None $$1$$ $$1$$ $$2$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+q^{5}+\cdots$$
1560.2.a.a $$1$$ $$12.457$$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$0$$ $$+$$ $$q-q^{3}-q^{5}+q^{9}+q^{13}+q^{15}-6q^{17}+\cdots$$
1560.2.a.b $$1$$ $$12.457$$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$0$$ $$-$$ $$q-q^{3}-q^{5}+q^{9}+4q^{11}+q^{13}+q^{15}+\cdots$$
1560.2.a.c $$1$$ $$12.457$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$-5$$ $$-$$ $$q-q^{3}+q^{5}-5q^{7}+q^{9}+q^{11}+q^{13}+\cdots$$
1560.2.a.d $$1$$ $$12.457$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$0$$ $$-$$ $$q-q^{3}+q^{5}+q^{9}-4q^{11}+q^{13}-q^{15}+\cdots$$
1560.2.a.e $$1$$ $$12.457$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$2$$ $$-$$ $$q-q^{3}+q^{5}+2q^{7}+q^{9}+4q^{11}-q^{13}+\cdots$$
1560.2.a.f $$1$$ $$12.457$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$4$$ $$-$$ $$q-q^{3}+q^{5}+4q^{7}+q^{9}+4q^{11}+q^{13}+\cdots$$
1560.2.a.g $$1$$ $$12.457$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$-4$$ $$+$$ $$q+q^{3}-q^{5}-4q^{7}+q^{9}+4q^{11}+q^{13}+\cdots$$
1560.2.a.h $$1$$ $$12.457$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$-1$$ $$+$$ $$q+q^{3}-q^{5}-q^{7}+q^{9}-5q^{11}+q^{13}+\cdots$$
1560.2.a.i $$1$$ $$12.457$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$0$$ $$-$$ $$q+q^{3}-q^{5}+q^{9}-q^{13}-q^{15}+2q^{17}+\cdots$$
1560.2.a.j $$1$$ $$12.457$$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$-3$$ $$+$$ $$q+q^{3}+q^{5}-3q^{7}+q^{9}-3q^{11}-q^{13}+\cdots$$
1560.2.a.k $$1$$ $$12.457$$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$-2$$ $$-$$ $$q+q^{3}+q^{5}-2q^{7}+q^{9}+q^{13}+q^{15}+\cdots$$
1560.2.a.l $$1$$ $$12.457$$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$4$$ $$-$$ $$q+q^{3}+q^{5}+4q^{7}+q^{9}+q^{13}+q^{15}+\cdots$$
1560.2.a.m $$2$$ $$12.457$$ $$\Q(\sqrt{41})$$ None None $$0$$ $$-2$$ $$-2$$ $$-1$$ $$-$$ $$q-q^{3}-q^{5}-\beta q^{7}+q^{9}+(-2-\beta )q^{11}+\cdots$$
1560.2.a.n $$2$$ $$12.457$$ $$\Q(\sqrt{33})$$ None None $$0$$ $$-2$$ $$-2$$ $$1$$ $$+$$ $$q-q^{3}-q^{5}+\beta q^{7}+q^{9}-\beta q^{11}-q^{13}+\cdots$$
1560.2.a.o $$2$$ $$12.457$$ $$\Q(\sqrt{17})$$ None None $$0$$ $$-2$$ $$2$$ $$-1$$ $$+$$ $$q-q^{3}+q^{5}-\beta q^{7}+q^{9}+(-4+\beta )q^{11}+\cdots$$
1560.2.a.p $$3$$ $$12.457$$ 3.3.1849.1 None None $$0$$ $$3$$ $$-3$$ $$5$$ $$-$$ $$q+q^{3}-q^{5}+(2-\beta _{1})q^{7}+q^{9}+(1+\beta _{2})q^{11}+\cdots$$
1560.2.a.q $$3$$ $$12.457$$ 3.3.940.1 None None $$0$$ $$3$$ $$3$$ $$1$$ $$-$$ $$q+q^{3}+q^{5}+\beta _{2}q^{7}+q^{9}+(2+\beta _{1}+\cdots)q^{11}+\cdots$$
1560.2.g.a $$2$$ $$12.457$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-q^{3}+iq^{5}+2iq^{7}+q^{9}+(-3+2i)q^{13}+\cdots$$
1560.2.g.b $$2$$ $$12.457$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-q^{3}-iq^{5}+2iq^{7}+q^{9}-4iq^{11}+\cdots$$
1560.2.g.c $$2$$ $$12.457$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-q^{3}-iq^{5}+4iq^{7}+q^{9}+4iq^{11}+\cdots$$
1560.2.g.d $$2$$ $$12.457$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $$q+q^{3}-iq^{5}+3iq^{7}+q^{9}-3iq^{11}+\cdots$$
1560.2.g.e $$2$$ $$12.457$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $$q+q^{3}-iq^{5}+q^{9}+6iq^{11}+(-2+\cdots)q^{13}+\cdots$$
1560.2.g.f $$4$$ $$12.457$$ $$\Q(i, \sqrt{41})$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q-q^{3}-\beta _{2}q^{5}+(\beta _{1}-\beta _{2})q^{7}+q^{9}+\cdots$$
1560.2.g.g $$4$$ $$12.457$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q+q^{3}-\zeta_{12}q^{5}+\zeta_{12}^{2}q^{7}+q^{9}+(1+\cdots)q^{13}+\cdots$$
1560.2.g.h $$4$$ $$12.457$$ $$\Q(i, \sqrt{17})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q+q^{3}-\beta _{2}q^{5}+(\beta _{1}-\beta _{2})q^{7}+q^{9}+\cdots$$
1560.2.g.i $$6$$ $$12.457$$ 6.0.3356224.1 None None $$0$$ $$-6$$ $$0$$ $$0$$ $$q-q^{3}-\beta _{1}q^{5}+(-2\beta _{1}+\beta _{4})q^{7}+q^{9}+\cdots$$
1560.2.l.a $$2$$ $$12.457$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+iq^{3}+(-1+2i)q^{5}+5iq^{7}-q^{9}+\cdots$$
1560.2.l.b $$2$$ $$12.457$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q-iq^{3}+(1+2i)q^{5}+iq^{7}-q^{9}+3q^{11}+\cdots$$
1560.2.l.c $$6$$ $$12.457$$ 6.0.5161984.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{3}q^{3}-\beta _{5}q^{5}-q^{9}+(-2+\beta _{4}+\cdots)q^{11}+\cdots$$
1560.2.l.d $$8$$ $$12.457$$ 8.0.$$\cdots$$.2 None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-\beta _{2}q^{3}-\beta _{7}q^{5}+(-\beta _{1}+2\beta _{2})q^{7}+\cdots$$
1560.2.l.e $$8$$ $$12.457$$ 8.0.1698758656.6 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{3}+(-\beta _{2}-\beta _{3})q^{5}-\beta _{4}q^{7}+\cdots$$
1560.2.l.f $$10$$ $$12.457$$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q+\beta _{6}q^{3}+\beta _{2}q^{5}-\beta _{9}q^{7}-q^{9}+(1+\cdots)q^{11}+\cdots$$