## Results (1-50 of 124 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
285.1.n.a $$2$$ $$0.142$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-15})$$ None $$-1$$ $$1$$ $$1$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}^{2}q^{5}+\zeta_{6}q^{6}+\cdots$$
285.1.n.b $$2$$ $$0.142$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-15})$$ None $$1$$ $$-1$$ $$-1$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{5}+\zeta_{6}q^{6}+\cdots$$
285.1.bd.a $$6$$ $$0.142$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-15})$$ None $$-3$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{18}^{4}+\zeta_{18}^{6})q^{2}+\zeta_{18}^{2}q^{3}+(-\zeta_{18}+\cdots)q^{4}+\cdots$$
285.1.bd.b $$6$$ $$0.142$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-15})$$ None $$3$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{18}^{4}-\zeta_{18}^{6})q^{2}-\zeta_{18}^{2}q^{3}+\cdots$$
285.2.a.a $$1$$ $$2.276$$ $$\Q$$ None None $$-1$$ $$1$$ $$-1$$ $$-2$$ $$+$$ $$q-q^{2}+q^{3}-q^{4}-q^{5}-q^{6}-2q^{7}+\cdots$$
285.2.a.b $$1$$ $$2.276$$ $$\Q$$ None None $$1$$ $$-1$$ $$-1$$ $$-2$$ $$+$$ $$q+q^{2}-q^{3}-q^{4}-q^{5}-q^{6}-2q^{7}+\cdots$$
285.2.a.c $$1$$ $$2.276$$ $$\Q$$ None None $$1$$ $$-1$$ $$1$$ $$4$$ $$-$$ $$q+q^{2}-q^{3}-q^{4}+q^{5}-q^{6}+4q^{7}+\cdots$$
285.2.a.d $$2$$ $$2.276$$ $$\Q(\sqrt{7})$$ None None $$0$$ $$-2$$ $$2$$ $$-2$$ $$-$$ $$q+\beta q^{2}-q^{3}+5q^{4}+q^{5}-\beta q^{6}+(-1+\cdots)q^{7}+\cdots$$
285.2.a.e $$2$$ $$2.276$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$2$$ $$2$$ $$-2$$ $$-$$ $$q+\beta q^{2}+q^{3}+q^{4}+q^{5}+\beta q^{6}+(-1+\cdots)q^{7}+\cdots$$
285.2.a.f $$2$$ $$2.276$$ $$\Q(\sqrt{2})$$ None None $$2$$ $$-2$$ $$-2$$ $$4$$ $$-$$ $$q+(1+\beta )q^{2}-q^{3}+(1+2\beta )q^{4}-q^{5}+\cdots$$
285.2.a.g $$2$$ $$2.276$$ $$\Q(\sqrt{2})$$ None None $$2$$ $$2$$ $$-2$$ $$0$$ $$-$$ $$q+(1+\beta )q^{2}+q^{3}+(1+2\beta )q^{4}-q^{5}+\cdots$$
285.2.b.a $$4$$ $$2.276$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{2}+\beta _{2}q^{3}-q^{4}-\beta _{1}q^{5}-3q^{6}+\cdots$$
285.2.b.b $$16$$ $$2.276$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ $$\Q(\sqrt{-95})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{9}q^{2}-\beta _{3}q^{3}+(-2+\beta _{7})q^{4}-\beta _{2}q^{5}+\cdots$$
285.2.b.c $$16$$ $$2.276$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{11}q^{2}-\beta _{12}q^{3}-\beta _{4}q^{4}+(-\beta _{5}+\cdots)q^{5}+\cdots$$
285.2.c.a $$6$$ $$2.276$$ 6.0.350464.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{4}q^{2}-\beta _{3}q^{3}+(-\beta _{1}+\beta _{2})q^{4}+\cdots$$
285.2.c.b $$14$$ $$2.276$$ $$\mathbb{Q}[x]/(x^{14} + \cdots)$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{6}q^{3}+(-2+\beta _{2})q^{4}+\beta _{10}q^{5}+\cdots$$
285.2.h.a $$28$$ $$2.276$$ None None $$0$$ $$0$$ $$0$$ $$-16$$
285.2.i.a $$2$$ $$2.276$$ $$\Q(\sqrt{-3})$$ None None $$-2$$ $$-1$$ $$1$$ $$-4$$ $$q+(-2+2\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-2\zeta_{6}q^{4}+\cdots$$
285.2.i.b $$2$$ $$2.276$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$-1$$ $$4$$ $$q+(-1+\zeta_{6})q^{3}+2\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots$$
285.2.i.c $$2$$ $$2.276$$ $$\Q(\sqrt{-3})$$ None None $$2$$ $$1$$ $$1$$ $$-4$$ $$q+(2-2\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-2\zeta_{6}q^{4}+\cdots$$
285.2.i.d $$4$$ $$2.276$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$-2$$ $$2$$ $$2$$ $$-4$$ $$q+(-1+\beta _{1}-\beta _{2})q^{2}+(1+\beta _{2})q^{3}+\cdots$$
285.2.i.e $$4$$ $$2.276$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ None None $$1$$ $$-2$$ $$2$$ $$12$$ $$q+\beta _{1}q^{2}+(-1-\beta _{3})q^{3}+(\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
285.2.i.f $$10$$ $$2.276$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$1$$ $$5$$ $$-5$$ $$4$$ $$q+(-\beta _{1}-\beta _{2})q^{2}-\beta _{4}q^{3}+(-1-\beta _{3}+\cdots)q^{4}+\cdots$$
285.2.k.a $$4$$ $$2.276$$ $$\Q(\zeta_{12})$$ None None $$-4$$ $$0$$ $$-4$$ $$-6$$ $$q+(-1+\zeta_{12}^{3})q^{2}+(1-2\zeta_{12}^{2})q^{3}+\cdots$$
285.2.k.b $$4$$ $$2.276$$ $$\Q(\zeta_{12})$$ None None $$4$$ $$0$$ $$4$$ $$-6$$ $$q+(1+\zeta_{12}^{3})q^{2}+(2\zeta_{12}-\zeta_{12}^{3})q^{3}+\cdots$$
285.2.k.c $$28$$ $$2.276$$ None None $$0$$ $$-2$$ $$0$$ $$0$$
285.2.k.d $$36$$ $$2.276$$ None None $$0$$ $$-2$$ $$0$$ $$4$$
285.2.m.a $$4$$ $$2.276$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$-4$$ $$4$$ $$q+\zeta_{8}q^{2}-\zeta_{8}^{3}q^{3}-\zeta_{8}^{2}q^{4}+(-1+\cdots)q^{5}+\cdots$$
285.2.m.b $$36$$ $$2.276$$ None None $$0$$ $$0$$ $$0$$ $$0$$
285.2.p.a $$4$$ $$2.276$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$6$$ $$0$$ $$4$$ $$q+(-\zeta_{12}-\zeta_{12}^{3})q^{2}+(2-\zeta_{12}^{2})q^{3}+\cdots$$
285.2.p.b $$52$$ $$2.276$$ None None $$0$$ $$-12$$ $$0$$ $$12$$
285.2.q.a $$4$$ $$2.276$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ $$\Q(\sqrt{-15})$$ None $$-3$$ $$6$$ $$0$$ $$0$$ $$q+(-\beta _{1}+\beta _{2})q^{2}+(2+\beta _{3})q^{3}+(1+3\beta _{1}+\cdots)q^{4}+\cdots$$
285.2.q.b $$4$$ $$2.276$$ $$\Q(\sqrt{-3}, \sqrt{5})$$ $$\Q(\sqrt{-15})$$ None $$3$$ $$-6$$ $$0$$ $$0$$ $$q+(\beta _{1}-\beta _{2})q^{2}+(-2-\beta _{3})q^{3}+(1+3\beta _{1}+\cdots)q^{4}+\cdots$$
285.2.q.c $$8$$ $$2.276$$ 8.0.3317760000.3 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}+(-2+2\beta _{3})q^{4}-\beta _{2}q^{5}+\cdots$$
285.2.q.d $$56$$ $$2.276$$ None None $$0$$ $$0$$ $$0$$ $$0$$
285.2.r.a $$40$$ $$2.276$$ None None $$0$$ $$0$$ $$-2$$ $$0$$
285.2.u.a $$12$$ $$2.276$$ 12.0.$$\cdots$$.1 None None $$3$$ $$0$$ $$0$$ $$6$$ $$q+(1-\beta _{5}-\beta _{8}+\beta _{9}-\beta _{11})q^{2}+\beta _{10}q^{3}+\cdots$$
285.2.u.b $$18$$ $$2.276$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None None $$-3$$ $$0$$ $$0$$ $$6$$ $$q-\beta _{4}q^{2}+\beta _{5}q^{3}+(-\beta _{2}-\beta _{5}-\beta _{8}+\cdots)q^{4}+\cdots$$
285.2.u.c $$24$$ $$2.276$$ None None $$0$$ $$0$$ $$0$$ $$-6$$
285.2.u.d $$30$$ $$2.276$$ None None $$0$$ $$0$$ $$0$$ $$-6$$
285.2.v.a $$144$$ $$2.276$$ None None $$0$$ $$-2$$ $$0$$ $$-16$$
285.2.x.a $$80$$ $$2.276$$ None None $$0$$ $$0$$ $$4$$ $$8$$
285.2.z.a $$156$$ $$2.276$$ None None $$0$$ $$6$$ $$0$$ $$0$$
285.2.be.a $$120$$ $$2.276$$ None None $$0$$ $$0$$ $$0$$ $$0$$
285.2.bf.a $$12$$ $$2.276$$ 12.0.$$\cdots$$.1 $$\Q(\sqrt{-15})$$ None $$-9$$ $$0$$ $$0$$ $$0$$ $$q+(-1+\beta _{4}-\beta _{5}-\beta _{6}+\beta _{11})q^{2}+\cdots$$
285.2.bf.b $$12$$ $$2.276$$ 12.0.$$\cdots$$.1 $$\Q(\sqrt{-15})$$ None $$9$$ $$0$$ $$0$$ $$0$$ $$q+(1-\beta _{4}-\beta _{5}-\beta _{6}-\beta _{8}-\beta _{10}+\beta _{11})q^{2}+\cdots$$
285.2.bf.c $$192$$ $$2.276$$ None None $$0$$ $$0$$ $$0$$ $$0$$
285.2.bh.a $$240$$ $$2.276$$ None None $$0$$ $$0$$ $$0$$ $$-12$$
285.2.bi.a $$432$$ $$2.276$$ None None $$0$$ $$-12$$ $$0$$ $$-12$$
285.3.d.a $$48$$ $$7.766$$ None None $$0$$ $$0$$ $$0$$ $$0$$