Results (1-50 of 72 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
552.1.h.a $$1$$ $$0.275$$ $$\Q$$ $$\Q(\sqrt{-23})$$, $$\Q(\sqrt{-138})$$ $$\Q(\sqrt{6})$$ $$-1$$ $$-1$$ $$0$$ $$0$$ $$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$$
552.1.h.b $$1$$ $$0.275$$ $$\Q$$ $$\Q(\sqrt{-23})$$, $$\Q(\sqrt{-138})$$ $$\Q(\sqrt{6})$$ $$1$$ $$-1$$ $$0$$ $$0$$ $$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots$$
552.1.h.c $$2$$ $$0.275$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-23})$$ None $$-1$$ $$1$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}+\zeta_{6}q^{3}-\zeta_{6}q^{4}-q^{6}+q^{8}+\cdots$$
552.1.h.d $$2$$ $$0.275$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-23})$$ None $$1$$ $$1$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{6}+\cdots$$
552.2.a.a $$1$$ $$4.408$$ $$\Q$$ None None $$0$$ $$-1$$ $$-2$$ $$2$$ $$+$$ $$q-q^{3}-2q^{5}+2q^{7}+q^{9}-2q^{11}+\cdots$$
552.2.a.b $$1$$ $$4.408$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-2$$ $$-$$ $$q-q^{3}-2q^{7}+q^{9}+2q^{13}+8q^{17}+\cdots$$
552.2.a.c $$1$$ $$4.408$$ $$\Q$$ None None $$0$$ $$-1$$ $$2$$ $$-4$$ $$+$$ $$q-q^{3}+2q^{5}-4q^{7}+q^{9}-4q^{11}+\cdots$$
552.2.a.d $$1$$ $$4.408$$ $$\Q$$ None None $$0$$ $$-1$$ $$4$$ $$2$$ $$-$$ $$q-q^{3}+4q^{5}+2q^{7}+q^{9}+2q^{13}+\cdots$$
552.2.a.e $$1$$ $$4.408$$ $$\Q$$ None None $$0$$ $$1$$ $$-2$$ $$-4$$ $$+$$ $$q+q^{3}-2q^{5}-4q^{7}+q^{9}-2q^{13}+\cdots$$
552.2.a.f $$2$$ $$4.408$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$2$$ $$2$$ $$4$$ $$-$$ $$q+q^{3}+(1+\beta )q^{5}+2q^{7}+q^{9}+(1+\beta )q^{11}+\cdots$$
552.2.a.g $$3$$ $$4.408$$ 3.3.148.1 None None $$0$$ $$3$$ $$0$$ $$2$$ $$-$$ $$q+q^{3}+\beta _{2}q^{5}+(1+\beta _{1})q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots$$
552.2.b.a $$6$$ $$4.408$$ 6.0.8869743.1 $$\Q(\sqrt{-23})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{4}q^{3}+(\beta _{2}+\beta _{5})q^{4}+(\beta _{2}+\cdots)q^{6}+\cdots$$
552.2.b.b $$6$$ $$4.408$$ 6.0.8869743.1 $$\Q(\sqrt{-23})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+\beta _{2}q^{3}+(\beta _{2}+\beta _{5})q^{4}+(1+\cdots)q^{6}+\cdots$$
552.2.b.c $$80$$ $$4.408$$ None None $$0$$ $$0$$ $$0$$ $$0$$
552.2.f.a $$2$$ $$4.408$$ $$\Q(\sqrt{-1})$$ None None $$2$$ $$0$$ $$0$$ $$8$$ $$q+(1+i)q^{2}+iq^{3}+2iq^{4}+2iq^{5}+\cdots$$
552.2.f.b $$4$$ $$4.408$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$-8$$ $$q+\zeta_{8}^{3}q^{2}+\zeta_{8}q^{3}+2q^{4}+(2\zeta_{8}+\zeta_{8}^{2}+\cdots)q^{5}+\cdots$$
552.2.f.c $$18$$ $$4.408$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$8$$ $$q-\beta _{3}q^{2}-\beta _{4}q^{3}-\beta _{2}q^{4}+\beta _{9}q^{5}+\cdots$$
552.2.f.d $$20$$ $$4.408$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$-2$$ $$0$$ $$0$$ $$-8$$ $$q-\beta _{1}q^{2}+\beta _{5}q^{3}+\beta _{2}q^{4}+\beta _{11}q^{5}+\cdots$$
552.2.j.a $$2$$ $$4.408$$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$-2$$ $$-8$$ $$0$$ $$q+\beta q^{2}+(-1+\beta )q^{3}-2q^{4}-4q^{5}+\cdots$$
552.2.j.b $$2$$ $$4.408$$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$-2$$ $$8$$ $$0$$ $$q+\beta q^{2}+(-1+\beta )q^{3}-2q^{4}+4q^{5}+\cdots$$
552.2.j.c $$42$$ $$4.408$$ None None $$0$$ $$2$$ $$-8$$ $$0$$
552.2.j.d $$42$$ $$4.408$$ None None $$0$$ $$2$$ $$8$$ $$0$$
552.2.m.a $$8$$ $$4.408$$ 8.0.40960000.1 None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+(-1-\beta _{2})q^{3}+\beta _{3}q^{5}+\beta _{5}q^{7}+(1+\cdots)q^{9}+\cdots$$
552.2.m.b $$16$$ $$4.408$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q-\beta _{7}q^{3}-\beta _{5}q^{5}-\beta _{1}q^{7}+(\beta _{2}+\beta _{4}+\cdots)q^{9}+\cdots$$
552.2.n.a $$24$$ $$4.408$$ None None $$-4$$ $$24$$ $$0$$ $$0$$
552.2.n.b $$24$$ $$4.408$$ None None $$0$$ $$-24$$ $$0$$ $$0$$
552.2.q.a $$30$$ $$4.408$$ None None $$0$$ $$-3$$ $$0$$ $$-2$$
552.2.q.b $$30$$ $$4.408$$ None None $$0$$ $$-3$$ $$0$$ $$0$$
552.2.q.c $$30$$ $$4.408$$ None None $$0$$ $$3$$ $$-2$$ $$-2$$
552.2.q.d $$30$$ $$4.408$$ None None $$0$$ $$3$$ $$2$$ $$4$$
552.2.t.a $$240$$ $$4.408$$ None None $$0$$ $$24$$ $$0$$ $$0$$
552.2.t.b $$240$$ $$4.408$$ None None $$4$$ $$-24$$ $$0$$ $$0$$
552.2.u.a $$240$$ $$4.408$$ None None $$0$$ $$0$$ $$0$$ $$0$$
552.2.x.a $$920$$ $$4.408$$ None None $$0$$ $$-18$$ $$0$$ $$0$$
552.2.bb.a $$480$$ $$4.408$$ None None $$4$$ $$0$$ $$0$$ $$8$$
552.2.bf.a $$920$$ $$4.408$$ None None $$0$$ $$0$$ $$0$$ $$-44$$
552.3.c.a $$24$$ $$15.041$$ None None $$0$$ $$0$$ $$0$$ $$0$$
552.3.d.a $$88$$ $$15.041$$ None None $$0$$ $$0$$ $$0$$ $$0$$
552.3.g.a $$44$$ $$15.041$$ None None $$0$$ $$-4$$ $$0$$ $$24$$
552.3.l.a $$96$$ $$15.041$$ None None $$4$$ $$0$$ $$0$$ $$0$$
552.4.a.a $$1$$ $$32.569$$ $$\Q$$ None None $$0$$ $$3$$ $$-14$$ $$2$$ $$-$$ $$q+3q^{3}-14q^{5}+2q^{7}+9q^{9}+58q^{11}+\cdots$$
552.4.a.b $$1$$ $$32.569$$ $$\Q$$ None None $$0$$ $$3$$ $$8$$ $$-22$$ $$-$$ $$q+3q^{3}+8q^{5}-22q^{7}+9q^{9}-4q^{11}+\cdots$$
552.4.a.c $$2$$ $$32.569$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-6$$ $$-8$$ $$4$$ $$+$$ $$q-3q^{3}+(-4+4\beta )q^{5}+(2+9\beta )q^{7}+\cdots$$
552.4.a.d $$2$$ $$32.569$$ $$\Q(\sqrt{93})$$ None None $$0$$ $$-6$$ $$2$$ $$10$$ $$+$$ $$q-3q^{3}+(1+\beta )q^{5}+(5-\beta )q^{7}+9q^{9}+\cdots$$
552.4.a.e $$2$$ $$32.569$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$6$$ $$-14$$ $$10$$ $$-$$ $$q+3q^{3}+(-7-\beta )q^{5}+(5+\beta )q^{7}+9q^{9}+\cdots$$
552.4.a.f $$2$$ $$32.569$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$6$$ $$-4$$ $$-8$$ $$-$$ $$q+3q^{3}+(-2+\beta )q^{5}+(-4+3\beta )q^{7}+\cdots$$
552.4.a.g $$4$$ $$32.569$$ 4.4.1623576.1 None None $$0$$ $$-12$$ $$-14$$ $$14$$ $$-$$ $$q-3q^{3}+(-3+\beta _{3})q^{5}+(4-\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots$$
552.4.a.h $$4$$ $$32.569$$ 4.4.2239521.1 None None $$0$$ $$12$$ $$2$$ $$50$$ $$+$$ $$q+3q^{3}+(1+\beta _{3})q^{5}+(12-\beta _{2})q^{7}+\cdots$$
552.4.a.i $$5$$ $$32.569$$ $$\mathbb{Q}[x]/(x^{5} - \cdots)$$ None None $$0$$ $$-15$$ $$4$$ $$-14$$ $$-$$ $$q-3q^{3}+(1-\beta _{1})q^{5}+(-3-\beta _{2})q^{7}+\cdots$$
552.4.a.j $$5$$ $$32.569$$ $$\mathbb{Q}[x]/(x^{5} - \cdots)$$ None None $$0$$ $$-15$$ $$16$$ $$0$$ $$+$$ $$q-3q^{3}+(3-\beta _{2})q^{5}-\beta _{3}q^{7}+9q^{9}+\cdots$$