Results (1-50 of 236 matches)

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
378.2.a.a $$1$$ $$3.018$$ $$\Q$$ None $$-1$$ $$0$$ $$-4$$ $$-1$$ $$-$$ $$q-q^{2}+q^{4}-4q^{5}-q^{7}-q^{8}+4q^{10}+\cdots$$
378.2.a.b $$1$$ $$3.018$$ $$\Q$$ None $$-1$$ $$0$$ $$-3$$ $$1$$ $$+$$ $$q-q^{2}+q^{4}-3q^{5}+q^{7}-q^{8}+3q^{10}+\cdots$$
378.2.a.c $$1$$ $$3.018$$ $$\Q$$ None $$-1$$ $$0$$ $$-1$$ $$-1$$ $$+$$ $$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots$$
378.2.a.d $$1$$ $$3.018$$ $$\Q$$ None $$-1$$ $$0$$ $$0$$ $$1$$ $$-$$ $$q-q^{2}+q^{4}+q^{7}-q^{8}+5q^{13}-q^{14}+\cdots$$
378.2.a.e $$1$$ $$3.018$$ $$\Q$$ None $$1$$ $$0$$ $$0$$ $$1$$ $$-$$ $$q+q^{2}+q^{4}+q^{7}+q^{8}+5q^{13}+q^{14}+\cdots$$
378.2.a.f $$1$$ $$3.018$$ $$\Q$$ None $$1$$ $$0$$ $$1$$ $$-1$$ $$-$$ $$q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots$$
378.2.a.g $$1$$ $$3.018$$ $$\Q$$ None $$1$$ $$0$$ $$3$$ $$1$$ $$-$$ $$q+q^{2}+q^{4}+3q^{5}+q^{7}+q^{8}+3q^{10}+\cdots$$
378.2.a.h $$1$$ $$3.018$$ $$\Q$$ None $$1$$ $$0$$ $$4$$ $$-1$$ $$-$$ $$q+q^{2}+q^{4}+4q^{5}-q^{7}+q^{8}+4q^{10}+\cdots$$
378.2.d.a $$4$$ $$3.018$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$-10$$ $$q-\zeta_{12}^{3}q^{2}-q^{4}+(-2\zeta_{12}+\zeta_{12}^{3})q^{5}+\cdots$$
378.2.d.b $$4$$ $$3.018$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$8$$ $$q-\zeta_{12}q^{2}-q^{4}-\zeta_{12}^{3}q^{5}+(2-\zeta_{12}^{2}+\cdots)q^{7}+\cdots$$
378.2.d.c $$4$$ $$3.018$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$8$$ $$q+\zeta_{12}q^{2}-q^{4}-2\zeta_{12}^{3}q^{5}+(2-\zeta_{12}^{2}+\cdots)q^{7}+\cdots$$
378.2.e.a $$2$$ $$3.018$$ $$\Q(\sqrt{-3})$$ None $$-2$$ $$0$$ $$-3$$ $$-4$$ $$q-q^{2}+q^{4}+(-3+3\zeta_{6})q^{5}+(-3+\cdots)q^{7}+\cdots$$
378.2.e.b $$2$$ $$3.018$$ $$\Q(\sqrt{-3})$$ None $$2$$ $$0$$ $$3$$ $$-4$$ $$q+q^{2}+q^{4}+(3-3\zeta_{6})q^{5}+(-1-2\zeta_{6})q^{7}+\cdots$$
378.2.e.c $$6$$ $$3.018$$ 6.0.309123.1 None $$-6$$ $$0$$ $$5$$ $$4$$ $$q-q^{2}+q^{4}+(2-2\beta _{4}+\beta _{5})q^{5}+(1+\cdots)q^{7}+\cdots$$
378.2.e.d $$6$$ $$3.018$$ 6.0.309123.1 None $$6$$ $$0$$ $$-1$$ $$2$$ $$q+q^{2}+q^{4}-\beta _{2}q^{5}+(\beta _{3}+\beta _{4}-\beta _{5})q^{7}+\cdots$$
378.2.f.a $$2$$ $$3.018$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$-3$$ $$-1$$ $$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}-3\zeta_{6}q^{5}+\cdots$$
378.2.f.b $$2$$ $$3.018$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$2$$ $$1$$ $$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+2\zeta_{6}q^{5}+\cdots$$
378.2.f.c $$4$$ $$3.018$$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None $$-2$$ $$0$$ $$3$$ $$-2$$ $$q+(-1+\beta _{1})q^{2}-\beta _{1}q^{4}+(\beta _{1}+\beta _{3})q^{5}+\cdots$$
378.2.f.d $$4$$ $$3.018$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None $$2$$ $$0$$ $$2$$ $$2$$ $$q+(1-\beta _{1})q^{2}-\beta _{1}q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots$$
378.2.g.a $$2$$ $$3.018$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$-3$$ $$-4$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-3\zeta_{6}q^{5}+\cdots$$
378.2.g.b $$2$$ $$3.018$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$0$$ $$-4$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+(-3+2\zeta_{6})q^{7}+\cdots$$
378.2.g.c $$2$$ $$3.018$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$2$$ $$1$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+2\zeta_{6}q^{5}+\cdots$$
378.2.g.d $$2$$ $$3.018$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$-2$$ $$1$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-2\zeta_{6}q^{5}+\cdots$$
378.2.g.e $$2$$ $$3.018$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$0$$ $$-4$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+(-3+2\zeta_{6})q^{7}+\cdots$$
378.2.g.f $$2$$ $$3.018$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$3$$ $$-4$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+3\zeta_{6}q^{5}+\cdots$$
378.2.g.g $$4$$ $$3.018$$ $$\Q(\sqrt{-3}, \sqrt{7})$$ None $$-2$$ $$0$$ $$2$$ $$0$$ $$q+(-1-\beta _{2})q^{2}+\beta _{2}q^{4}+(1-\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots$$
378.2.g.h $$4$$ $$3.018$$ $$\Q(\sqrt{-3}, \sqrt{7})$$ None $$2$$ $$0$$ $$-2$$ $$0$$ $$q+(1+\beta _{2})q^{2}+\beta _{2}q^{4}+(-1+\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots$$
378.2.h.a $$2$$ $$3.018$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$-6$$ $$5$$ $$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}-3q^{5}+(3+\cdots)q^{7}+\cdots$$
378.2.h.b $$2$$ $$3.018$$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$6$$ $$-1$$ $$q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+3q^{5}+(1-3\zeta_{6})q^{7}+\cdots$$
378.2.h.c $$6$$ $$3.018$$ 6.0.309123.1 None $$-3$$ $$0$$ $$2$$ $$-4$$ $$q+(-1+\beta _{4})q^{2}-\beta _{4}q^{4}-\beta _{3}q^{5}+(-1+\cdots)q^{7}+\cdots$$
378.2.h.d $$6$$ $$3.018$$ 6.0.309123.1 None $$3$$ $$0$$ $$-10$$ $$-2$$ $$q+\beta _{4}q^{2}+(-1+\beta _{4})q^{4}+(-2-\beta _{1}+\cdots)q^{5}+\cdots$$
378.2.k.a $$4$$ $$3.018$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(-1+3\zeta_{12}^{2}+\cdots)q^{7}+\cdots$$
378.2.k.b $$4$$ $$3.018$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$8$$ $$q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(-2\zeta_{12}+4\zeta_{12}^{3})q^{5}+\cdots$$
378.2.k.c $$4$$ $$3.018$$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$8$$ $$q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(\zeta_{12}-2\zeta_{12}^{3})q^{5}+\cdots$$
378.2.k.d $$8$$ $$3.018$$ $$\Q(\zeta_{24})$$ None $$0$$ $$0$$ $$0$$ $$-8$$ $$q+\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}+(\zeta_{24}^{5}-\zeta_{24}^{6}+\cdots)q^{5}+\cdots$$
378.2.l.a $$16$$ $$3.018$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q+(\beta _{1}+\beta _{7})q^{2}-q^{4}+(-\beta _{5}-\beta _{10}+\cdots)q^{5}+\cdots$$
378.2.m.a $$16$$ $$3.018$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q+\beta _{7}q^{2}+(1+\beta _{5})q^{4}+(\beta _{6}+\beta _{8}-\beta _{15})q^{5}+\cdots$$
378.2.t.a $$16$$ $$3.018$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q-\beta _{1}q^{2}+(1-\beta _{8})q^{4}+(-\beta _{12}-\beta _{14}+\cdots)q^{5}+\cdots$$
378.2.u.a $$6$$ $$3.018$$ $$\Q(\zeta_{18})$$ None $$0$$ $$0$$ $$3$$ $$0$$ $$q-\zeta_{18}q^{2}+(\zeta_{18}-2\zeta_{18}^{4})q^{3}+\zeta_{18}^{2}q^{4}+\cdots$$
378.2.u.b $$12$$ $$3.018$$ 12.0.$$\cdots$$.1 None $$0$$ $$3$$ $$0$$ $$0$$ $$q+\beta _{7}q^{2}+(-\beta _{2}+\beta _{4}+\beta _{5}-\beta _{10}+\cdots)q^{3}+\cdots$$
378.2.u.c $$24$$ $$3.018$$ None $$0$$ $$-3$$ $$3$$ $$0$$
378.2.u.d $$30$$ $$3.018$$ None $$0$$ $$-3$$ $$3$$ $$0$$
378.2.u.e $$36$$ $$3.018$$ None $$0$$ $$3$$ $$3$$ $$0$$
378.2.v.a $$72$$ $$3.018$$ None $$0$$ $$0$$ $$0$$ $$-6$$
378.2.v.b $$72$$ $$3.018$$ None $$0$$ $$0$$ $$0$$ $$6$$
378.2.w.a $$72$$ $$3.018$$ None $$0$$ $$0$$ $$0$$ $$-3$$
378.2.w.b $$72$$ $$3.018$$ None $$0$$ $$0$$ $$0$$ $$3$$
378.2.z.a $$144$$ $$3.018$$ None $$0$$ $$0$$ $$0$$ $$0$$
378.2.ba.a $$144$$ $$3.018$$ None $$0$$ $$0$$ $$0$$ $$0$$
378.2.bf.a $$144$$ $$3.018$$ None $$0$$ $$0$$ $$0$$ $$0$$