## Results (1-50 of 95 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1856.1.h.a $$1$$ $$0.926$$ $$\Q$$ $$\Q(\sqrt{-29})$$ None $$0$$ $$-1$$ $$1$$ $$0$$ $$q-q^{3}+q^{5}-q^{11}+q^{13}-q^{15}+2q^{19}+\cdots$$
1856.1.h.b $$1$$ $$0.926$$ $$\Q$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-29})$$ $$\Q(\sqrt{29})$$ $$0$$ $$0$$ $$-2$$ $$0$$ $$q-2q^{5}-q^{9}+2q^{13}+3q^{25}+q^{29}+\cdots$$
1856.1.h.c $$1$$ $$0.926$$ $$\Q$$ $$\Q(\sqrt{-29})$$ None $$0$$ $$1$$ $$1$$ $$0$$ $$q+q^{3}+q^{5}+q^{11}+q^{13}+q^{15}-2q^{19}+\cdots$$
1856.1.h.d $$2$$ $$0.926$$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-29})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q-\beta q^{3}+q^{5}+2q^{9}+\beta q^{11}-q^{13}+\cdots$$
1856.1.l.a $$2$$ $$0.926$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{9}+iq^{13}+(1+i)q^{17}+q^{25}+\cdots$$
1856.1.l.b $$4$$ $$0.926$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{3}q^{3}+\zeta_{8}^{2}q^{5}+(\zeta_{8}-\zeta_{8}^{3})q^{7}+\cdots$$
1856.1.bd.a $$6$$ $$0.926$$ $$\Q(\zeta_{14})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+(\zeta_{14}+\zeta_{14}^{3})q^{5}-\zeta_{14}^{6}q^{9}+(\zeta_{14}^{4}+\cdots)q^{13}+\cdots$$
1856.1.bh.a $$6$$ $$0.926$$ $$\Q(\zeta_{14})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+(-\zeta_{14}^{4}-\zeta_{14}^{6})q^{5}-\zeta_{14}q^{9}+(-\zeta_{14}^{2}+\cdots)q^{13}+\cdots$$
1856.1.ca.a $$12$$ $$0.926$$ $$\Q(\zeta_{28})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{28}^{4}-\zeta_{28}^{12})q^{5}-\zeta_{28}^{3}q^{9}+(-\zeta_{28}^{9}+\cdots)q^{13}+\cdots$$
1856.2.a.a $$1$$ $$14.820$$ $$\Q$$ None None $$0$$ $$-3$$ $$-3$$ $$-4$$ $$+$$ $$q-3q^{3}-3q^{5}-4q^{7}+6q^{9}-q^{11}+\cdots$$
1856.2.a.b $$1$$ $$14.820$$ $$\Q$$ None None $$0$$ $$-3$$ $$3$$ $$2$$ $$+$$ $$q-3q^{3}+3q^{5}+2q^{7}+6q^{9}-q^{11}+\cdots$$
1856.2.a.c $$1$$ $$14.820$$ $$\Q$$ None None $$0$$ $$-2$$ $$2$$ $$4$$ $$-$$ $$q-2q^{3}+2q^{5}+4q^{7}+q^{9}+6q^{11}+\cdots$$
1856.2.a.d $$1$$ $$14.820$$ $$\Q$$ None None $$0$$ $$-1$$ $$-3$$ $$-4$$ $$-$$ $$q-q^{3}-3q^{5}-4q^{7}-2q^{9}-3q^{11}+\cdots$$
1856.2.a.e $$1$$ $$14.820$$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$2$$ $$-$$ $$q-q^{3}-q^{5}+2q^{7}-2q^{9}-3q^{11}+\cdots$$
1856.2.a.f $$1$$ $$14.820$$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$2$$ $$+$$ $$q-q^{3}-q^{5}+2q^{7}-2q^{9}-3q^{11}+\cdots$$
1856.2.a.g $$1$$ $$14.820$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$0$$ $$+$$ $$q-q^{3}+q^{5}-2q^{9}+5q^{11}-q^{13}+\cdots$$
1856.2.a.h $$1$$ $$14.820$$ $$\Q$$ None None $$0$$ $$-1$$ $$3$$ $$-2$$ $$+$$ $$q-q^{3}+3q^{5}-2q^{7}-2q^{9}-3q^{11}+\cdots$$
1856.2.a.i $$1$$ $$14.820$$ $$\Q$$ None None $$0$$ $$1$$ $$-3$$ $$4$$ $$+$$ $$q+q^{3}-3q^{5}+4q^{7}-2q^{9}+3q^{11}+\cdots$$
1856.2.a.j $$1$$ $$14.820$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$-2$$ $$+$$ $$q+q^{3}-q^{5}-2q^{7}-2q^{9}+3q^{11}+\cdots$$
1856.2.a.k $$1$$ $$14.820$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$-2$$ $$-$$ $$q+q^{3}-q^{5}-2q^{7}-2q^{9}+3q^{11}+\cdots$$
1856.2.a.l $$1$$ $$14.820$$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$0$$ $$+$$ $$q+q^{3}+q^{5}-2q^{9}-5q^{11}-q^{13}+\cdots$$
1856.2.a.m $$1$$ $$14.820$$ $$\Q$$ None None $$0$$ $$1$$ $$3$$ $$2$$ $$-$$ $$q+q^{3}+3q^{5}+2q^{7}-2q^{9}+3q^{11}+\cdots$$
1856.2.a.n $$1$$ $$14.820$$ $$\Q$$ None None $$0$$ $$2$$ $$2$$ $$-4$$ $$+$$ $$q+2q^{3}+2q^{5}-4q^{7}+q^{9}-6q^{11}+\cdots$$
1856.2.a.o $$1$$ $$14.820$$ $$\Q$$ None None $$0$$ $$3$$ $$-3$$ $$4$$ $$-$$ $$q+3q^{3}-3q^{5}+4q^{7}+6q^{9}+q^{11}+\cdots$$
1856.2.a.p $$1$$ $$14.820$$ $$\Q$$ None None $$0$$ $$3$$ $$3$$ $$-2$$ $$-$$ $$q+3q^{3}+3q^{5}-2q^{7}+6q^{9}+q^{11}+\cdots$$
1856.2.a.q $$2$$ $$14.820$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-2$$ $$-2$$ $$4$$ $$+$$ $$q+(-1+\beta )q^{3}-q^{5}+2q^{7}-2\beta q^{9}+\cdots$$
1856.2.a.r $$2$$ $$14.820$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-2$$ $$2$$ $$0$$ $$+$$ $$q+(-1+\beta )q^{3}+q^{5}+2\beta q^{7}-2\beta q^{9}+\cdots$$
1856.2.a.s $$2$$ $$14.820$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-2$$ $$2$$ $$8$$ $$-$$ $$q+(-1+\beta )q^{3}+(1+2\beta )q^{5}+4q^{7}+\cdots$$
1856.2.a.t $$2$$ $$14.820$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$0$$ $$-6$$ $$0$$ $$+$$ $$q-\beta q^{3}-3q^{5}+2q^{9}+\beta q^{11}-q^{13}+\cdots$$
1856.2.a.u $$2$$ $$14.820$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$2$$ $$-2$$ $$-4$$ $$+$$ $$q+(1+\beta )q^{3}-q^{5}-2q^{7}+2\beta q^{9}+(1+\cdots)q^{11}+\cdots$$
1856.2.a.v $$2$$ $$14.820$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$2$$ $$2$$ $$-8$$ $$+$$ $$q+(1+\beta )q^{3}+(1-2\beta )q^{5}-4q^{7}+2\beta q^{9}+\cdots$$
1856.2.a.w $$2$$ $$14.820$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$2$$ $$2$$ $$0$$ $$-$$ $$q+(1+\beta )q^{3}+q^{5}+2\beta q^{7}+2\beta q^{9}+\cdots$$
1856.2.a.x $$3$$ $$14.820$$ 3.3.568.1 None None $$0$$ $$-2$$ $$-4$$ $$0$$ $$+$$ $$q+(-1+\beta _{1})q^{3}+(-1+\beta _{2})q^{5}+(2+\cdots)q^{9}+\cdots$$
1856.2.a.y $$3$$ $$14.820$$ 3.3.568.1 None None $$0$$ $$2$$ $$-4$$ $$0$$ $$-$$ $$q+(1-\beta _{1})q^{3}+(-1+\beta _{2})q^{5}+(2+\beta _{2})q^{9}+\cdots$$
1856.2.a.z $$4$$ $$14.820$$ $$\Q(\zeta_{20})^+$$ None None $$0$$ $$0$$ $$8$$ $$0$$ $$-$$ $$q-\beta _{2}q^{3}+(2-\beta _{3})q^{5}+(-\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots$$
1856.2.a.ba $$5$$ $$14.820$$ 5.5.230224.1 None None $$0$$ $$-4$$ $$2$$ $$4$$ $$-$$ $$q+(-1+\beta _{1})q^{3}-\beta _{4}q^{5}+(1+\beta _{1}+\beta _{3}+\cdots)q^{7}+\cdots$$
1856.2.a.bb $$5$$ $$14.820$$ 5.5.230224.1 None None $$0$$ $$4$$ $$2$$ $$-4$$ $$-$$ $$q+(1-\beta _{1})q^{3}-\beta _{4}q^{5}+(-1-\beta _{1}-\beta _{3}+\cdots)q^{7}+\cdots$$
1856.2.a.bc $$6$$ $$14.820$$ 6.6.68772992.1 None None $$0$$ $$0$$ $$-4$$ $$0$$ $$-$$ $$q-\beta _{4}q^{3}+(-1-\beta _{3})q^{5}-\beta _{1}q^{7}+(2+\cdots)q^{9}+\cdots$$
1856.2.c.a $$8$$ $$14.820$$ 8.0.214798336.3 None None $$0$$ $$0$$ $$0$$ $$-8$$ $$q+\beta _{3}q^{3}+(\beta _{3}+\beta _{6})q^{5}+(-1-\beta _{1}+\cdots)q^{7}+\cdots$$
1856.2.c.b $$8$$ $$14.820$$ 8.0.214798336.3 None None $$0$$ $$0$$ $$0$$ $$8$$ $$q+\beta _{3}q^{3}+(-\beta _{3}-\beta _{6})q^{5}+(1+\beta _{1}+\cdots)q^{7}+\cdots$$
1856.2.c.c $$20$$ $$14.820$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-16$$ $$q+\beta _{13}q^{3}+\beta _{17}q^{5}+(-1+\beta _{8})q^{7}+\cdots$$
1856.2.c.d $$20$$ $$14.820$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$16$$ $$q+\beta _{13}q^{3}-\beta _{17}q^{5}+(1-\beta _{8})q^{7}+(-1+\cdots)q^{9}+\cdots$$
1856.2.e.a $$2$$ $$14.820$$ $$\Q(\sqrt{-7})$$ None None $$0$$ $$0$$ $$-2$$ $$-4$$ $$q-\beta q^{3}-q^{5}-2q^{7}-4q^{9}-\beta q^{11}+\cdots$$
1856.2.e.b $$2$$ $$14.820$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$-4$$ $$q+iq^{3}-q^{5}-2q^{7}+2q^{9}-5iq^{11}+\cdots$$
1856.2.e.c $$2$$ $$14.820$$ $$\Q(\sqrt{-7})$$ None None $$0$$ $$0$$ $$-2$$ $$4$$ $$q-\beta q^{3}-q^{5}+2q^{7}-4q^{9}-\beta q^{11}+\cdots$$
1856.2.e.d $$2$$ $$14.820$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$4$$ $$q+iq^{3}-q^{5}+2q^{7}+2q^{9}-5iq^{11}+\cdots$$
1856.2.e.e $$2$$ $$14.820$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q+2q^{5}+3q^{9}+6q^{13}+4iq^{17}-q^{25}+\cdots$$
1856.2.e.f $$2$$ $$14.820$$ $$\Q(\sqrt{-5})$$ None None $$0$$ $$0$$ $$6$$ $$-4$$ $$q+\beta q^{3}+3q^{5}-2q^{7}-2q^{9}-\beta q^{11}+\cdots$$
1856.2.e.g $$2$$ $$14.820$$ $$\Q(\sqrt{-5})$$ None None $$0$$ $$0$$ $$6$$ $$4$$ $$q+\beta q^{3}+3q^{5}+2q^{7}-2q^{9}-\beta q^{11}+\cdots$$
1856.2.e.h $$4$$ $$14.820$$ $$\Q(i, \sqrt{5})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+\beta _{1}q^{3}-q^{5}+\beta _{3}q^{7}+2q^{9}+3\beta _{1}q^{11}+\cdots$$