## Results (1-50 of 203 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
2016.1.e.a $$4$$ $$1.006$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{2}q^{7}+(\zeta_{8}+\zeta_{8}^{3})q^{11}+(-\zeta_{8}+\cdots)q^{23}+\cdots$$
2016.1.f.a $$4$$ $$1.006$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-21})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{8}-\zeta_{8}^{3})q^{5}+\zeta_{8}^{2}q^{7}+(-\zeta_{8}+\cdots)q^{11}+\cdots$$
2016.1.l.a $$1$$ $$1.006$$ $$\Q$$ $$\Q(\sqrt{-7})$$, $$\Q(\sqrt{-14})$$ $$\Q(\sqrt{2})$$ $$0$$ $$0$$ $$0$$ $$1$$ $$q+q^{7}+2q^{23}-q^{25}+q^{49}-2q^{71}+\cdots$$
2016.1.l.b $$2$$ $$1.006$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-7})$$, $$\Q(\sqrt{-6})$$ $$\Q(\sqrt{42})$$ $$0$$ $$0$$ $$0$$ $$-2$$ $$q-q^{7}-iq^{11}-q^{25}-iq^{29}+q^{49}+\cdots$$
2016.1.bi.a $$4$$ $$1.006$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-\zeta_{12}^{2}q^{3}-\zeta_{12}^{3}q^{5}+\zeta_{12}q^{7}+\zeta_{12}^{4}q^{9}+\cdots$$
2016.1.bv.a $$2$$ $$1.006$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$-2$$ $$1$$ $$1$$ $$q-q^{3}-\zeta_{6}^{2}q^{5}+\zeta_{6}q^{7}+q^{9}+\zeta_{6}^{2}q^{13}+\cdots$$
2016.1.bv.b $$2$$ $$1.006$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$2$$ $$-1$$ $$1$$ $$q+q^{3}+\zeta_{6}^{2}q^{5}+\zeta_{6}q^{7}+q^{9}-\zeta_{6}^{2}q^{13}+\cdots$$
2016.1.bv.c $$4$$ $$1.006$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-\zeta_{12}^{3}q^{3}+(-\zeta_{12}-\zeta_{12}^{3})q^{5}+\zeta_{12}^{4}q^{7}+\cdots$$
2016.1.bw.a $$4$$ $$1.006$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{3}-\zeta_{12}q^{7}+\zeta_{12}^{2}q^{9}+\zeta_{12}^{4}q^{13}+\cdots$$
2016.1.cd.a $$4$$ $$1.006$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q+\zeta_{12}^{2}q^{5}-\zeta_{12}^{3}q^{7}-\zeta_{12}q^{11}+\cdots$$
2016.1.ce.a $$4$$ $$1.006$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q+(\zeta_{12}^{3}+\zeta_{12}^{5})q^{5}+\zeta_{12}^{2}q^{7}+\zeta_{12}^{5}q^{11}+\cdots$$
2016.1.cm.a $$4$$ $$1.006$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q+q^{3}+\zeta_{12}^{5}q^{5}-\zeta_{12}^{3}q^{7}+q^{9}+\cdots$$
2016.1.dd.a $$4$$ $$1.006$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{3}q^{3}-\zeta_{12}^{3}q^{7}-q^{9}-\zeta_{12}^{2}q^{13}+\cdots$$
2016.1.dn.a $$4$$ $$1.006$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-7})$$ None $$-4$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+q^{4}+\zeta_{8}^{3}q^{7}-q^{8}+(-\zeta_{8}^{2}+\cdots)q^{11}+\cdots$$
2016.1.dn.b $$4$$ $$1.006$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{2}q^{2}-q^{4}-\zeta_{8}^{3}q^{7}-\zeta_{8}^{2}q^{8}+\cdots$$
2016.1.dn.c $$4$$ $$1.006$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{2}q^{2}-q^{4}-\zeta_{8}^{3}q^{7}+\zeta_{8}^{2}q^{8}+\cdots$$
2016.1.dn.d $$4$$ $$1.006$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-7})$$ None $$4$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+q^{4}+\zeta_{8}^{3}q^{7}+q^{8}+(\zeta_{8}^{2}-\zeta_{8}^{3}+\cdots)q^{11}+\cdots$$
2016.1.dp.a $$4$$ $$1.006$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{7}-\zeta_{8}^{3}q^{8}+\cdots$$
2016.1.dp.b $$4$$ $$1.006$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+\zeta_{8}^{3}q^{7}+\zeta_{8}q^{8}+\cdots$$
2016.1.dp.c $$4$$ $$1.006$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{7}+\zeta_{8}^{3}q^{8}+\cdots$$
2016.2.a.a $$1$$ $$16.098$$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$-1$$ $$-$$ $$q-2q^{5}-q^{7}+2q^{13}-2q^{17}+4q^{19}+\cdots$$
2016.2.a.b $$1$$ $$16.098$$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$1$$ $$+$$ $$q-2q^{5}+q^{7}+2q^{13}-2q^{17}-4q^{19}+\cdots$$
2016.2.a.c $$1$$ $$16.098$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-1$$ $$+$$ $$q-q^{7}-4q^{11}+2q^{13}+4q^{17}-4q^{23}+\cdots$$
2016.2.a.d $$1$$ $$16.098$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-1$$ $$+$$ $$q-q^{7}+2q^{11}-2q^{13}-4q^{17}-4q^{19}+\cdots$$
2016.2.a.e $$1$$ $$16.098$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-1$$ $$+$$ $$q-q^{7}+4q^{11}-4q^{13}+2q^{17}-6q^{19}+\cdots$$
2016.2.a.f $$1$$ $$16.098$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-1$$ $$-$$ $$q-q^{7}+4q^{11}+2q^{13}-4q^{17}+4q^{23}+\cdots$$
2016.2.a.g $$1$$ $$16.098$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$1$$ $$-$$ $$q+q^{7}-4q^{11}-4q^{13}+2q^{17}+6q^{19}+\cdots$$
2016.2.a.h $$1$$ $$16.098$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$1$$ $$+$$ $$q+q^{7}-4q^{11}+2q^{13}-4q^{17}-4q^{23}+\cdots$$
2016.2.a.i $$1$$ $$16.098$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$1$$ $$+$$ $$q+q^{7}-2q^{11}-2q^{13}-4q^{17}+4q^{19}+\cdots$$
2016.2.a.j $$1$$ $$16.098$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$1$$ $$-$$ $$q+q^{7}+4q^{11}+2q^{13}+4q^{17}+4q^{23}+\cdots$$
2016.2.a.k $$1$$ $$16.098$$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$-1$$ $$-$$ $$q+2q^{5}-q^{7}+4q^{11}-6q^{13}+2q^{17}+\cdots$$
2016.2.a.l $$1$$ $$16.098$$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$1$$ $$+$$ $$q+2q^{5}+q^{7}-4q^{11}-6q^{13}+2q^{17}+\cdots$$
2016.2.a.m $$1$$ $$16.098$$ $$\Q$$ None None $$0$$ $$0$$ $$4$$ $$-1$$ $$-$$ $$q+4q^{5}-q^{7}-2q^{11}-2q^{13}+4q^{19}+\cdots$$
2016.2.a.n $$1$$ $$16.098$$ $$\Q$$ None None $$0$$ $$0$$ $$4$$ $$1$$ $$-$$ $$q+4q^{5}+q^{7}+2q^{11}-2q^{13}-4q^{19}+\cdots$$
2016.2.a.o $$2$$ $$16.098$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$0$$ $$-2$$ $$-2$$ $$-$$ $$q+(-1-\beta )q^{5}-q^{7}+(-2-2\beta )q^{11}+\cdots$$
2016.2.a.p $$2$$ $$16.098$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$0$$ $$-2$$ $$-2$$ $$+$$ $$q+(-1-\beta )q^{5}-q^{7}+(1+\beta )q^{11}+2\beta q^{13}+\cdots$$
2016.2.a.q $$2$$ $$16.098$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$0$$ $$-2$$ $$2$$ $$+$$ $$q+(-1-\beta )q^{5}+q^{7}+(-1-\beta )q^{11}+\cdots$$
2016.2.a.r $$2$$ $$16.098$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$0$$ $$-2$$ $$2$$ $$-$$ $$q+(-1-\beta )q^{5}+q^{7}+(2+2\beta )q^{11}+\cdots$$
2016.2.a.s $$2$$ $$16.098$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$+$$ $$q+\beta q^{5}-q^{7}+(-2-\beta )q^{11}+2q^{13}+\cdots$$
2016.2.a.t $$2$$ $$16.098$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$-$$ $$q+\beta q^{5}+q^{7}+(2+\beta )q^{11}+2q^{13}+\cdots$$
2016.2.a.u $$2$$ $$16.098$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$0$$ $$2$$ $$-2$$ $$-$$ $$q+(1+\beta )q^{5}-q^{7}+(-1-\beta )q^{11}+2\beta q^{13}+\cdots$$
2016.2.a.v $$2$$ $$16.098$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$0$$ $$2$$ $$2$$ $$-$$ $$q+(1+\beta )q^{5}+q^{7}+(1+\beta )q^{11}+2\beta q^{13}+\cdots$$
2016.2.b.a $$8$$ $$16.098$$ 8.0.836829184.2 None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q-\beta _{1}q^{5}+\beta _{4}q^{7}+(\beta _{2}+\beta _{4}+\beta _{7})q^{11}+\cdots$$
2016.2.b.b $$8$$ $$16.098$$ $$\Q(\zeta_{16})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{16}^{5}q^{5}+\zeta_{16}^{6}q^{7}-\zeta_{16}q^{11}+\cdots$$
2016.2.b.c $$8$$ $$16.098$$ 8.0.836829184.2 None None $$0$$ $$0$$ $$0$$ $$4$$ $$q-\beta _{1}q^{5}-\beta _{4}q^{7}+(-\beta _{2}-\beta _{4}-\beta _{7})q^{11}+\cdots$$
2016.2.b.d $$16$$ $$16.098$$ 16.0.$$\cdots$$.7 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{5}-\beta _{8}q^{7}+(\beta _{7}+\beta _{11})q^{11}+\cdots$$
2016.2.c.a $$2$$ $$16.098$$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+\beta q^{5}-q^{7}+2\beta q^{11}-3\beta q^{13}+6q^{17}+\cdots$$
2016.2.c.b $$4$$ $$16.098$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q-\beta _{1}q^{5}-q^{7}+\beta _{1}q^{11}+\beta _{2}q^{17}+\cdots$$
2016.2.c.c $$4$$ $$16.098$$ 4.0.2312.1 None None $$0$$ $$0$$ $$0$$ $$4$$ $$q+\beta _{2}q^{5}+q^{7}+(-\beta _{1}+\beta _{2})q^{11}+\beta _{2}q^{13}+\cdots$$
2016.2.c.d $$4$$ $$16.098$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $$q-\zeta_{12}^{3}q^{5}+q^{7}+(-\zeta_{12}^{2}+\zeta_{12}^{3})q^{11}+\cdots$$