## Results (1-50 of 142 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
2205.1.e.a $$4$$ $$1.100$$ 4.0.2048.2 $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q-\beta _{1}q^{2}+(-1+\beta _{2})q^{4}-q^{5}+(\beta _{1}+\cdots)q^{8}+\cdots$$
2205.1.e.b $$4$$ $$1.100$$ 4.0.2048.2 $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q-\beta _{1}q^{2}+(-1+\beta _{2})q^{4}+q^{5}+(\beta _{1}+\cdots)q^{8}+\cdots$$
2205.1.f.a $$4$$ $$1.100$$ $$\Q(\zeta_{8})$$ None $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-q^{4}+\zeta_{8}^{2}q^{5}+(-\zeta_{8}-\zeta_{8}^{3})q^{11}+\cdots$$
2205.1.q.a $$2$$ $$1.100$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$-1$$ $$-1$$ $$0$$ $$q+\zeta_{6}^{2}q^{3}+q^{4}+\zeta_{6}^{2}q^{5}-\zeta_{6}q^{9}+\cdots$$
2205.1.q.b $$2$$ $$1.100$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$1$$ $$1$$ $$0$$ $$q-\zeta_{6}^{2}q^{3}+q^{4}-\zeta_{6}^{2}q^{5}-\zeta_{6}q^{9}+\cdots$$
2205.1.v.a $$2$$ $$1.100$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$-1$$ $$2$$ $$0$$ $$q+\zeta_{6}^{2}q^{3}+\zeta_{6}q^{4}+q^{5}-\zeta_{6}q^{9}+(-\zeta_{6}+\cdots)q^{11}+\cdots$$
2205.1.v.b $$2$$ $$1.100$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$1$$ $$-2$$ $$0$$ $$q-\zeta_{6}^{2}q^{3}+\zeta_{6}q^{4}-q^{5}-\zeta_{6}q^{9}+(-\zeta_{6}+\cdots)q^{11}+\cdots$$
2205.1.y.a $$8$$ $$1.100$$ $$\Q(\zeta_{24})$$ None $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{4}q^{4}-\zeta_{24}^{2}q^{5}+(-\zeta_{24}+\zeta_{24}^{7}+\cdots)q^{11}+\cdots$$
2205.1.ba.a $$2$$ $$1.100$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$-2$$ $$1$$ $$0$$ $$q-q^{3}-\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}+q^{9}+(-1+\cdots)q^{11}+\cdots$$
2205.1.ba.b $$2$$ $$1.100$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$2$$ $$-1$$ $$0$$ $$q+q^{3}-\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{5}+q^{9}+(-1+\cdots)q^{11}+\cdots$$
2205.1.bi.a $$8$$ $$1.100$$ 8.0.339738624.1 $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+\beta _{5}q^{2}+(1-\beta _{2}+\beta _{4}-\beta _{6})q^{4}+\beta _{4}q^{5}+\cdots$$
2205.1.bi.b $$8$$ $$1.100$$ 8.0.339738624.1 $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q+\beta _{5}q^{2}+(1-\beta _{2}+\beta _{4}-\beta _{6})q^{4}-\beta _{4}q^{5}+\cdots$$
2205.1.bn.a $$2$$ $$1.100$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$-1$$ $$2$$ $$0$$ $$q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+q^{5}-\zeta_{6}q^{9}-q^{11}+\cdots$$
2205.1.bn.b $$2$$ $$1.100$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$1$$ $$-2$$ $$0$$ $$q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-q^{5}-\zeta_{6}q^{9}-q^{11}+\cdots$$
2205.1.br.a $$2$$ $$1.100$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$-1$$ $$-1$$ $$0$$ $$q-\zeta_{6}q^{3}-q^{4}-\zeta_{6}q^{5}+\zeta_{6}^{2}q^{9}+(1+\cdots)q^{11}+\cdots$$
2205.1.br.b $$2$$ $$1.100$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$1$$ $$1$$ $$0$$ $$q+\zeta_{6}q^{3}-q^{4}+\zeta_{6}q^{5}+\zeta_{6}^{2}q^{9}+(1+\cdots)q^{11}+\cdots$$
2205.1.bu.a $$8$$ $$1.100$$ $$\Q(\zeta_{24})$$ None None $$8$$ $$0$$ $$0$$ $$0$$ $$q+(1-\zeta_{24}^{6})q^{2}-\zeta_{24}^{11}q^{3}-\zeta_{24}^{6}q^{4}+\cdots$$
2205.1.bz.a $$8$$ $$1.100$$ $$\Q(\zeta_{24})$$ None None $$-4$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{24}^{4}+\zeta_{24}^{10})q^{2}+\zeta_{24}^{3}q^{3}+\cdots$$
2205.1.ci.a $$8$$ $$1.100$$ $$\Q(\zeta_{24})$$ None None $$-4$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{24}^{4}-\zeta_{24}^{10})q^{2}-\zeta_{24}q^{3}+\cdots$$
2205.2.a.a $$1$$ $$17.607$$ $$\Q$$ None None $$-1$$ $$0$$ $$-1$$ $$0$$ $$-$$ $$q-q^{2}-q^{4}-q^{5}+3q^{8}+q^{10}+2q^{11}+\cdots$$
2205.2.a.b $$1$$ $$17.607$$ $$\Q$$ None None $$-1$$ $$0$$ $$1$$ $$0$$ $$-$$ $$q-q^{2}-q^{4}+q^{5}+3q^{8}-q^{10}+6q^{13}+\cdots$$
2205.2.a.c $$1$$ $$17.607$$ $$\Q$$ None None $$-1$$ $$0$$ $$1$$ $$0$$ $$+$$ $$q-q^{2}-q^{4}+q^{5}+3q^{8}-q^{10}+2q^{11}+\cdots$$
2205.2.a.d $$1$$ $$17.607$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$0$$ $$+$$ $$q-2q^{4}-q^{5}+q^{13}+4q^{16}+6q^{17}+\cdots$$
2205.2.a.e $$1$$ $$17.607$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$0$$ $$+$$ $$q-2q^{4}-q^{5}+3q^{11}-5q^{13}+4q^{16}+\cdots$$
2205.2.a.f $$1$$ $$17.607$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$0$$ $$+$$ $$q-2q^{4}+q^{5}-q^{13}+4q^{16}-6q^{17}+\cdots$$
2205.2.a.g $$1$$ $$17.607$$ $$\Q$$ None None $$1$$ $$0$$ $$-1$$ $$0$$ $$-$$ $$q+q^{2}-q^{4}-q^{5}-3q^{8}-q^{10}-2q^{11}+\cdots$$
2205.2.a.h $$1$$ $$17.607$$ $$\Q$$ None None $$1$$ $$0$$ $$1$$ $$0$$ $$+$$ $$q+q^{2}-q^{4}+q^{5}-3q^{8}+q^{10}-2q^{11}+\cdots$$
2205.2.a.i $$1$$ $$17.607$$ $$\Q$$ None None $$1$$ $$0$$ $$1$$ $$0$$ $$-$$ $$q+q^{2}-q^{4}+q^{5}-3q^{8}+q^{10}+4q^{11}+\cdots$$
2205.2.a.j $$1$$ $$17.607$$ $$\Q$$ None None $$2$$ $$0$$ $$-1$$ $$0$$ $$+$$ $$q+2q^{2}+2q^{4}-q^{5}-2q^{10}-q^{11}+\cdots$$
2205.2.a.k $$1$$ $$17.607$$ $$\Q$$ None None $$2$$ $$0$$ $$-1$$ $$0$$ $$-$$ $$q+2q^{2}+2q^{4}-q^{5}-2q^{10}+6q^{11}+\cdots$$
2205.2.a.l $$1$$ $$17.607$$ $$\Q$$ None None $$2$$ $$0$$ $$1$$ $$0$$ $$-$$ $$q+2q^{2}+2q^{4}+q^{5}+2q^{10}-q^{11}+\cdots$$
2205.2.a.m $$1$$ $$17.607$$ $$\Q$$ None None $$2$$ $$0$$ $$1$$ $$0$$ $$-$$ $$q+2q^{2}+2q^{4}+q^{5}+2q^{10}+6q^{11}+\cdots$$
2205.2.a.n $$2$$ $$17.607$$ $$\Q(\sqrt{2})$$ None None $$-2$$ $$0$$ $$-2$$ $$0$$ $$-$$ $$q+(-1+\beta )q^{2}+(1-2\beta )q^{4}-q^{5}+(-3+\cdots)q^{8}+\cdots$$
2205.2.a.o $$2$$ $$17.607$$ $$\Q(\sqrt{2})$$ None None $$-2$$ $$0$$ $$-2$$ $$0$$ $$+$$ $$q+(-1+\beta )q^{2}+(1-2\beta )q^{4}-q^{5}+(-3+\cdots)q^{8}+\cdots$$
2205.2.a.p $$2$$ $$17.607$$ $$\Q(\sqrt{2})$$ None None $$-2$$ $$0$$ $$2$$ $$0$$ $$+$$ $$q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+q^{5}+(-3+\cdots)q^{8}+\cdots$$
2205.2.a.q $$2$$ $$17.607$$ $$\Q(\sqrt{2})$$ None None $$-2$$ $$0$$ $$2$$ $$0$$ $$-$$ $$q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+q^{5}+(-3+\cdots)q^{8}+\cdots$$
2205.2.a.r $$2$$ $$17.607$$ $$\Q(\sqrt{2})$$ None None $$-2$$ $$0$$ $$2$$ $$0$$ $$-$$ $$q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+q^{5}+(-3+\cdots)q^{8}+\cdots$$
2205.2.a.s $$2$$ $$17.607$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$+$$ $$q+\beta q^{2}-q^{5}-2\beta q^{8}-\beta q^{10}+(-2+\cdots)q^{11}+\cdots$$
2205.2.a.t $$2$$ $$17.607$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$-$$ $$q+\beta q^{2}-q^{5}-2\beta q^{8}-\beta q^{10}+(3-2\beta )q^{11}+\cdots$$
2205.2.a.u $$2$$ $$17.607$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$+$$ $$q+\beta q^{2}+q^{5}-2\beta q^{8}+\beta q^{10}+(-2+\cdots)q^{11}+\cdots$$
2205.2.a.v $$2$$ $$17.607$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$+$$ $$q+\beta q^{2}+q^{5}-2\beta q^{8}+\beta q^{10}+(3-2\beta )q^{11}+\cdots$$
2205.2.a.w $$2$$ $$17.607$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$+$$ $$q-\beta q^{2}+3q^{4}-q^{5}-\beta q^{8}+\beta q^{10}+\cdots$$
2205.2.a.x $$2$$ $$17.607$$ $$\Q(\sqrt{17})$$ None None $$1$$ $$0$$ $$2$$ $$0$$ $$-$$ $$q+\beta q^{2}+(2+\beta )q^{4}+q^{5}+(4+\beta )q^{8}+\cdots$$
2205.2.a.y $$2$$ $$17.607$$ $$\Q(\sqrt{2})$$ None None $$2$$ $$0$$ $$-2$$ $$0$$ $$-$$ $$q+(1+\beta )q^{2}+(1+2\beta )q^{4}-q^{5}+(3+\beta )q^{8}+\cdots$$
2205.2.a.z $$2$$ $$17.607$$ $$\Q(\sqrt{3})$$ None None $$2$$ $$0$$ $$-2$$ $$0$$ $$-$$ $$q+(1+\beta )q^{2}+(2+2\beta )q^{4}-q^{5}+(6+2\beta )q^{8}+\cdots$$
2205.2.a.ba $$2$$ $$17.607$$ $$\Q(\sqrt{3})$$ None None $$2$$ $$0$$ $$2$$ $$0$$ $$-$$ $$q+(1+\beta )q^{2}+(2+2\beta )q^{4}+q^{5}+(6+2\beta )q^{8}+\cdots$$
2205.2.a.bb $$3$$ $$17.607$$ 3.3.404.1 None None $$-2$$ $$0$$ $$-3$$ $$0$$ $$+$$ $$q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots$$
2205.2.a.bc $$3$$ $$17.607$$ 3.3.404.1 None None $$-2$$ $$0$$ $$3$$ $$0$$ $$+$$ $$q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots$$
2205.2.a.bd $$3$$ $$17.607$$ 3.3.404.1 None None $$2$$ $$0$$ $$-3$$ $$0$$ $$-$$ $$q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}-q^{5}+\cdots$$
2205.2.a.be $$3$$ $$17.607$$ 3.3.404.1 None None $$2$$ $$0$$ $$3$$ $$0$$ $$-$$ $$q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots$$