## Results (1-50 of 240 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
588.1.c.a $$1$$ $$0.293$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$0$$ $$q-q^{3}+q^{9}+q^{13}+q^{19}+q^{25}-q^{27}+\cdots$$
588.1.c.b $$1$$ $$0.293$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$0$$ $$q+q^{3}+q^{9}-q^{13}-q^{19}+q^{25}+q^{27}+\cdots$$
588.1.p.a $$2$$ $$0.293$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+q^{13}-\zeta_{6}q^{19}+\cdots$$
588.1.z.a $$12$$ $$0.293$$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$1$$ $$q+\zeta_{42}^{10}q^{3}+\zeta_{42}^{8}q^{7}+\zeta_{42}^{20}q^{9}+\cdots$$
588.2.a.a $$1$$ $$4.695$$ $$\Q$$ None None $$0$$ $$-1$$ $$-2$$ $$0$$ $$-$$ $$q-q^{3}-2q^{5}+q^{9}+2q^{11}-3q^{13}+\cdots$$
588.2.a.b $$1$$ $$4.695$$ $$\Q$$ None None $$0$$ $$-1$$ $$-2$$ $$0$$ $$+$$ $$q-q^{3}-2q^{5}+q^{9}+2q^{11}+4q^{13}+\cdots$$
588.2.a.c $$1$$ $$4.695$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$0$$ $$+$$ $$q-q^{3}+q^{9}-6q^{11}-2q^{13}+4q^{19}+\cdots$$
588.2.a.d $$1$$ $$4.695$$ $$\Q$$ None None $$0$$ $$1$$ $$-4$$ $$0$$ $$-$$ $$q+q^{3}-4q^{5}+q^{9}+2q^{11}+6q^{13}+\cdots$$
588.2.a.e $$1$$ $$4.695$$ $$\Q$$ None None $$0$$ $$1$$ $$2$$ $$0$$ $$-$$ $$q+q^{3}+2q^{5}+q^{9}+2q^{11}-4q^{13}+\cdots$$
588.2.a.f $$1$$ $$4.695$$ $$\Q$$ None None $$0$$ $$1$$ $$2$$ $$0$$ $$-$$ $$q+q^{3}+2q^{5}+q^{9}+2q^{11}+3q^{13}+\cdots$$
588.2.b.a $$8$$ $$4.695$$ 8.0.562828176.1 None None $$-2$$ $$-8$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}-q^{3}+\beta _{2}q^{4}+(\beta _{2}-\beta _{5})q^{5}+\cdots$$
588.2.b.b $$8$$ $$4.695$$ 8.0.562828176.1 None None $$-2$$ $$8$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}+(-\beta _{2}+\beta _{5}+\cdots)q^{5}+\cdots$$
588.2.b.c $$12$$ $$4.695$$ 12.0.$$\cdots$$.1 None None $$4$$ $$-12$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-q^{3}+(\beta _{5}+\beta _{6})q^{4}+(-1+\cdots)q^{5}+\cdots$$
588.2.b.d $$12$$ $$4.695$$ 12.0.$$\cdots$$.1 None None $$4$$ $$12$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+q^{3}+(\beta _{5}+\beta _{6})q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots$$
588.2.e.a $$4$$ $$4.695$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ $$\Q(\sqrt{-21})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{2}q^{3}+2q^{4}+\beta _{3}q^{5}+\beta _{3}q^{6}+\cdots$$
588.2.e.b $$8$$ $$4.695$$ 8.0.3317760000.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{6}q^{2}-\beta _{2}q^{3}+(-1-\beta _{3})q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots$$
588.2.e.c $$12$$ $$4.695$$ 12.0.$$\cdots$$.2 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{2}+\beta _{10}q^{3}+(-\beta _{3}+\beta _{5})q^{4}+\cdots$$
588.2.e.d $$12$$ $$4.695$$ 12.0.$$\cdots$$.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{8}q^{3}+\beta _{2}q^{4}-\beta _{3}q^{5}+\cdots$$
588.2.e.e $$12$$ $$4.695$$ 12.0.$$\cdots$$.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{8}q^{3}+\beta _{2}q^{4}+\beta _{3}q^{5}+\cdots$$
588.2.e.f $$24$$ $$4.695$$ None None $$0$$ $$0$$ $$0$$ $$0$$
588.2.f.a $$2$$ $$4.695$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-3$$ $$6$$ $$0$$ $$q+(-1-\zeta_{6})q^{3}+3q^{5}+3\zeta_{6}q^{9}+(-3+\cdots)q^{11}+\cdots$$
588.2.f.b $$2$$ $$4.695$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{3}-3q^{9}-3\zeta_{6}q^{13}-5\zeta_{6}q^{19}+\cdots$$
588.2.f.c $$2$$ $$4.695$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$3$$ $$-6$$ $$0$$ $$q+(1+\zeta_{6})q^{3}-3q^{5}+3\zeta_{6}q^{9}+(-3+\cdots)q^{11}+\cdots$$
588.2.f.d $$8$$ $$4.695$$ 8.0.3288334336.2 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{1}+\beta _{6})q^{3}+(-\beta _{1}-\beta _{2}+\beta _{5}+\cdots)q^{5}+\cdots$$
588.2.i.a $$2$$ $$4.695$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$-2$$ $$0$$ $$q+(-1+\zeta_{6})q^{3}-2\zeta_{6}q^{5}-\zeta_{6}q^{9}+\cdots$$
588.2.i.b $$2$$ $$4.695$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$-2$$ $$0$$ $$q+(-1+\zeta_{6})q^{3}-2\zeta_{6}q^{5}-\zeta_{6}q^{9}+\cdots$$
588.2.i.c $$2$$ $$4.695$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$0$$ $$0$$ $$q+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{9}+(6-6\zeta_{6})q^{11}+\cdots$$
588.2.i.d $$2$$ $$4.695$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$4$$ $$0$$ $$q+(-1+\zeta_{6})q^{3}+4\zeta_{6}q^{5}-\zeta_{6}q^{9}+\cdots$$
588.2.i.e $$2$$ $$4.695$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$-4$$ $$0$$ $$q+(1-\zeta_{6})q^{3}-4\zeta_{6}q^{5}-\zeta_{6}q^{9}+(-2+\cdots)q^{11}+\cdots$$
588.2.i.f $$2$$ $$4.695$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$0$$ $$0$$ $$q+(1-\zeta_{6})q^{3}-\zeta_{6}q^{9}+(6-6\zeta_{6})q^{11}+\cdots$$
588.2.i.g $$2$$ $$4.695$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$2$$ $$0$$ $$q+(1-\zeta_{6})q^{3}+2\zeta_{6}q^{5}-\zeta_{6}q^{9}+(-2+\cdots)q^{11}+\cdots$$
588.2.k.a $$2$$ $$4.695$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-3$$ $$0$$ $$0$$ $$q+(-1-\zeta_{6})q^{3}+3\zeta_{6}q^{9}+(4-8\zeta_{6})q^{13}+\cdots$$
588.2.k.b $$2$$ $$4.695$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-3$$ $$0$$ $$0$$ $$q+(-1-\zeta_{6})q^{3}+3\zeta_{6}q^{9}+(-3+6\zeta_{6})q^{13}+\cdots$$
588.2.k.c $$2$$ $$4.695$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$3$$ $$0$$ $$q+(-1+2\zeta_{6})q^{3}+3\zeta_{6}q^{5}-3q^{9}+\cdots$$
588.2.k.d $$2$$ $$4.695$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$3$$ $$-3$$ $$0$$ $$q+(2-\zeta_{6})q^{3}-3\zeta_{6}q^{5}+(3-3\zeta_{6})q^{9}+\cdots$$
588.2.k.e $$2$$ $$4.695$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$3$$ $$0$$ $$0$$ $$q+(1+\zeta_{6})q^{3}+3\zeta_{6}q^{9}+(-4+8\zeta_{6})q^{13}+\cdots$$
588.2.k.f $$16$$ $$4.695$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{1}-\beta _{5}-\beta _{8})q^{3}+(\beta _{1}-2\beta _{7}+\cdots)q^{5}+\cdots$$
588.2.n.a $$4$$ $$4.695$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ $$\Q(\sqrt{-21})$$ None $$0$$ $$-6$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(-2-\beta _{2})q^{3}+2\beta _{2}q^{4}+\cdots$$
588.2.n.b $$4$$ $$4.695$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ $$\Q(\sqrt{-21})$$ None $$0$$ $$6$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(2+\beta _{2})q^{3}+2\beta _{2}q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$$
588.2.n.c $$16$$ $$4.695$$ 16.0.$$\cdots$$.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{9}q^{2}+(-\beta _{1}+\beta _{5}+\beta _{15})q^{3}-\beta _{3}q^{4}+\cdots$$
588.2.n.d $$24$$ $$4.695$$ None None $$0$$ $$0$$ $$0$$ $$0$$
588.2.n.e $$24$$ $$4.695$$ None None $$0$$ $$0$$ $$0$$ $$0$$
588.2.n.f $$24$$ $$4.695$$ None None $$0$$ $$0$$ $$0$$ $$0$$
588.2.n.g $$24$$ $$4.695$$ None None $$0$$ $$0$$ $$0$$ $$0$$
588.2.n.h $$24$$ $$4.695$$ None None $$0$$ $$0$$ $$0$$ $$0$$
588.2.o.a $$8$$ $$4.695$$ 8.0.432972864.2 None None $$1$$ $$-4$$ $$0$$ $$0$$ $$q+(-\beta _{1}-\beta _{6})q^{2}+\beta _{2}q^{3}+\beta _{5}q^{4}+\cdots$$
588.2.o.b $$8$$ $$4.695$$ 8.0.562828176.1 None None $$1$$ $$-4$$ $$0$$ $$0$$ $$q+\beta _{6}q^{2}-\beta _{3}q^{3}+(\beta _{1}-\beta _{2})q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots$$
588.2.o.c $$8$$ $$4.695$$ 8.0.432972864.2 None None $$1$$ $$4$$ $$0$$ $$0$$ $$q+(-\beta _{1}-\beta _{6})q^{2}-\beta _{2}q^{3}+\beta _{5}q^{4}+\cdots$$
588.2.o.d $$8$$ $$4.695$$ 8.0.562828176.1 None None $$1$$ $$4$$ $$0$$ $$0$$ $$q-\beta _{4}q^{2}+(1-\beta _{3})q^{3}+(\beta _{2}+\beta _{5}-\beta _{7})q^{4}+\cdots$$
588.2.o.e $$24$$ $$4.695$$ None None $$-4$$ $$-12$$ $$0$$ $$0$$