Results (1-50 of 181 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
195.1.e.a $$4$$ $$0.097$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{8}-\zeta_{8}^{3})q^{2}+\zeta_{8}^{2}q^{3}-q^{4}+\cdots$$
195.2.a.a $$1$$ $$1.557$$ $$\Q$$ None None $$-1$$ $$1$$ $$1$$ $$0$$ $$-$$ $$q-q^{2}+q^{3}-q^{4}+q^{5}-q^{6}+3q^{8}+\cdots$$
195.2.a.b $$1$$ $$1.557$$ $$\Q$$ None None $$2$$ $$-1$$ $$1$$ $$3$$ $$-$$ $$q+2q^{2}-q^{3}+2q^{4}+q^{5}-2q^{6}+3q^{7}+\cdots$$
195.2.a.c $$1$$ $$1.557$$ $$\Q$$ None None $$2$$ $$1$$ $$-1$$ $$-1$$ $$-$$ $$q+2q^{2}+q^{3}+2q^{4}-q^{5}+2q^{6}-q^{7}+\cdots$$
195.2.a.d $$1$$ $$1.557$$ $$\Q$$ None None $$2$$ $$1$$ $$1$$ $$-3$$ $$-$$ $$q+2q^{2}+q^{3}+2q^{4}+q^{5}+2q^{6}-3q^{7}+\cdots$$
195.2.a.e $$3$$ $$1.557$$ 3.3.316.1 None None $$0$$ $$-3$$ $$-3$$ $$1$$ $$-$$ $$q-\beta _{1}q^{2}-q^{3}+(3+\beta _{2})q^{4}-q^{5}+\beta _{1}q^{6}+\cdots$$
195.2.b.a $$2$$ $$1.557$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-q^{3}+2q^{4}+iq^{5}+3iq^{7}+q^{9}+\cdots$$
195.2.b.b $$2$$ $$1.557$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $$q+iq^{2}+q^{3}+q^{4}+iq^{5}+iq^{6}-2iq^{7}+\cdots$$
195.2.b.c $$4$$ $$1.557$$ $$\Q(i, \sqrt{17})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+q^{3}+(-3+\beta _{3})q^{4}-\beta _{2}q^{5}+\cdots$$
195.2.c.a $$2$$ $$1.557$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+iq^{3}+2q^{4}+(-1+2i)q^{5}+iq^{7}+\cdots$$
195.2.c.b $$10$$ $$1.557$$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{2}q^{3}+(-1-\beta _{4}+\beta _{6}+\cdots)q^{4}+\cdots$$
195.2.h.a $$2$$ $$1.557$$ $$\Q(\sqrt{-1})$$ None None $$-4$$ $$0$$ $$-4$$ $$6$$ $$q-2q^{2}+iq^{3}+2q^{4}+(-2-i)q^{5}+\cdots$$
195.2.h.b $$2$$ $$1.557$$ $$\Q(\sqrt{-1})$$ None None $$4$$ $$0$$ $$4$$ $$-6$$ $$q+2q^{2}+iq^{3}+2q^{4}+(2+i)q^{5}+2iq^{6}+\cdots$$
195.2.h.c $$12$$ $$1.557$$ 12.0.$$\cdots$$.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{10}q^{2}+\beta _{1}q^{3}+(1+\beta _{2}-\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots$$
195.2.i.a $$2$$ $$1.557$$ $$\Q(\sqrt{-3})$$ None None $$-2$$ $$-1$$ $$-2$$ $$-5$$ $$q+(-2+2\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-2\zeta_{6}q^{4}+\cdots$$
195.2.i.b $$2$$ $$1.557$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$-2$$ $$1$$ $$q+(-1+\zeta_{6})q^{3}+2\zeta_{6}q^{4}-q^{5}+\zeta_{6}q^{7}+\cdots$$
195.2.i.c $$4$$ $$1.557$$ $$\Q(\zeta_{12})$$ None None $$2$$ $$-2$$ $$4$$ $$0$$ $$q+(\zeta_{12}-\zeta_{12}^{2})q^{2}-\zeta_{12}q^{3}+(-2+\cdots)q^{4}+\cdots$$
195.2.i.d $$6$$ $$1.557$$ 6.0.1714608.1 None None $$0$$ $$3$$ $$6$$ $$-3$$ $$q+(-\beta _{3}+\beta _{5})q^{2}+(1+\beta _{4})q^{3}+(-2\beta _{1}+\cdots)q^{4}+\cdots$$
195.2.i.e $$6$$ $$1.557$$ 6.0.591408.1 None None $$0$$ $$3$$ $$-6$$ $$5$$ $$q-\beta _{5}q^{2}+(1-\beta _{4})q^{3}+(\beta _{1}-\beta _{3}-\beta _{4}+\cdots)q^{4}+\cdots$$
195.2.k.a $$28$$ $$1.557$$ None None $$0$$ $$0$$ $$8$$ $$0$$
195.2.m.a $$48$$ $$1.557$$ None None $$0$$ $$-4$$ $$0$$ $$-8$$
195.2.n.a $$48$$ $$1.557$$ None None $$0$$ $$0$$ $$0$$ $$0$$
195.2.o.a $$40$$ $$1.557$$ None None $$0$$ $$0$$ $$0$$ $$-16$$
195.2.s.a $$16$$ $$1.557$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{6}q^{3}+(2\beta _{2}+\beta _{12})q^{4}+\cdots$$
195.2.s.b $$32$$ $$1.557$$ None None $$0$$ $$-4$$ $$0$$ $$0$$
195.2.t.a $$28$$ $$1.557$$ None None $$-4$$ $$0$$ $$-4$$ $$0$$
195.2.v.a $$32$$ $$1.557$$ None None $$0$$ $$0$$ $$0$$ $$0$$
195.2.ba.a $$24$$ $$1.557$$ None None $$0$$ $$0$$ $$4$$ $$0$$
195.2.bb.a $$4$$ $$1.557$$ $$\Q(\zeta_{12})$$ None None $$-6$$ $$-2$$ $$0$$ $$-12$$ $$q+(-1+\zeta_{12}-\zeta_{12}^{2})q^{2}+(-1+\zeta_{12}^{2}+\cdots)q^{3}+\cdots$$
195.2.bb.b $$8$$ $$1.557$$ 8.0.191102976.5 None None $$0$$ $$4$$ $$0$$ $$12$$ $$q+(2\beta _{1}+\beta _{3}-\beta _{5}-\beta _{7})q^{2}+(1-\beta _{4}+\cdots)q^{3}+\cdots$$
195.2.bb.c $$8$$ $$1.557$$ 8.0.56070144.2 None None $$6$$ $$-4$$ $$0$$ $$6$$ $$q+(1-\beta _{1}-\beta _{2}-\beta _{4}+\beta _{5}+\beta _{6})q^{2}+\cdots$$
195.2.bd.a $$56$$ $$1.557$$ None None $$4$$ $$0$$ $$4$$ $$0$$
195.2.bf.a $$96$$ $$1.557$$ None None $$0$$ $$-2$$ $$0$$ $$-12$$
195.2.bg.a $$72$$ $$1.557$$ None None $$0$$ $$0$$ $$0$$ $$12$$
195.2.bh.a $$96$$ $$1.557$$ None None $$0$$ $$0$$ $$0$$ $$0$$
195.2.bl.a $$96$$ $$1.557$$ None None $$0$$ $$-2$$ $$0$$ $$-4$$
195.2.bm.a $$56$$ $$1.557$$ None None $$0$$ $$0$$ $$-8$$ $$0$$
195.3.d.a $$32$$ $$5.313$$ None None $$0$$ $$8$$ $$0$$ $$0$$
195.3.e.a $$1$$ $$5.313$$ $$\Q$$ $$\Q(\sqrt{-195})$$ None $$0$$ $$-3$$ $$-5$$ $$1$$ $$q-3q^{3}+4q^{4}-5q^{5}+q^{7}+9q^{9}+\cdots$$
195.3.e.b $$1$$ $$5.313$$ $$\Q$$ $$\Q(\sqrt{-195})$$ None $$0$$ $$-3$$ $$5$$ $$-1$$ $$q-3q^{3}+4q^{4}+5q^{5}-q^{7}+9q^{9}+\cdots$$
195.3.e.c $$1$$ $$5.313$$ $$\Q$$ $$\Q(\sqrt{-195})$$ None $$0$$ $$3$$ $$-5$$ $$-1$$ $$q+3q^{3}+4q^{4}-5q^{5}-q^{7}+9q^{9}+\cdots$$
195.3.e.d $$1$$ $$5.313$$ $$\Q$$ $$\Q(\sqrt{-195})$$ None $$0$$ $$3$$ $$5$$ $$1$$ $$q+3q^{3}+4q^{4}+5q^{5}+q^{7}+9q^{9}+\cdots$$
195.3.e.e $$8$$ $$5.313$$ 8.0.$$\cdots$$.2 $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{6}q^{2}-3\beta _{1}q^{3}+(-4+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
195.3.e.f $$40$$ $$5.313$$ None None $$0$$ $$0$$ $$0$$ $$0$$
195.3.f.a $$48$$ $$5.313$$ None None $$0$$ $$0$$ $$0$$ $$0$$
195.3.g.a $$4$$ $$5.313$$ $$\Q(\sqrt{-2}, \sqrt{5})$$ None None $$0$$ $$-12$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}-3q^{3}+q^{4}-\beta _{2}q^{5}+3\beta _{2}q^{6}+\cdots$$
195.3.g.b $$32$$ $$5.313$$ None None $$0$$ $$12$$ $$0$$ $$0$$
195.3.j.a $$2$$ $$5.313$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-6$$ $$0$$ $$0$$ $$q+iq^{2}-3q^{3}+3q^{4}+5iq^{5}-3iq^{6}+\cdots$$
195.3.j.b $$2$$ $$5.313$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}-3iq^{3}+3q^{4}-5iq^{5}-3q^{6}+\cdots$$
195.3.j.c $$4$$ $$5.313$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$8$$ $$0$$ $$0$$ $$q+(2\zeta_{8}+2\zeta_{8}^{3})q^{2}+(2+2\zeta_{8}^{2}-\zeta_{8}^{3})q^{3}+\cdots$$