Results (30 matches)

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
5148.2.a.a $$1$$ $$41.107$$ $$\Q$$ None $$0$$ $$0$$ $$-3$$ $$2$$ $$-$$ $$q-3q^{5}+2q^{7}-q^{11}+q^{13}+2q^{19}+\cdots$$
5148.2.a.b $$1$$ $$41.107$$ $$\Q$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$-$$ $$q-2q^{5}+q^{11}+q^{13}+6q^{17}+4q^{23}+\cdots$$
5148.2.a.c $$1$$ $$41.107$$ $$\Q$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$+$$ $$q-2q^{7}+q^{11}+q^{13}+2q^{17}+6q^{19}+\cdots$$
5148.2.a.d $$1$$ $$41.107$$ $$\Q$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$+$$ $$q+2q^{7}+q^{11}+q^{13}-6q^{17}+2q^{19}+\cdots$$
5148.2.a.e $$1$$ $$41.107$$ $$\Q$$ None $$0$$ $$0$$ $$2$$ $$-2$$ $$-$$ $$q+2q^{5}-2q^{7}-q^{11}+q^{13}+2q^{19}+\cdots$$
5148.2.a.f $$1$$ $$41.107$$ $$\Q$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$+$$ $$q+2q^{5}-q^{11}+q^{13}-6q^{17}-4q^{23}+\cdots$$
5148.2.a.g $$2$$ $$41.107$$ $$\Q(\sqrt{21})$$ None $$0$$ $$0$$ $$-4$$ $$5$$ $$-$$ $$q-2q^{5}+(2+\beta )q^{7}+q^{11}-q^{13}+4q^{17}+\cdots$$
5148.2.a.h $$2$$ $$41.107$$ $$\Q(\sqrt{13})$$ None $$0$$ $$0$$ $$0$$ $$-3$$ $$+$$ $$q+(-1-\beta )q^{7}+q^{11}+q^{13}+2\beta q^{17}+\cdots$$
5148.2.a.i $$2$$ $$41.107$$ $$\Q(\sqrt{3})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$+$$ $$q+(1+\beta )q^{5}-q^{11}-q^{13}+(1-3\beta )q^{17}+\cdots$$
5148.2.a.j $$2$$ $$41.107$$ $$\Q(\sqrt{2})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$-$$ $$q+(2+\beta )q^{5}+2\beta q^{7}+q^{11}-q^{13}+\cdots$$
5148.2.a.k $$2$$ $$41.107$$ $$\Q(\sqrt{21})$$ None $$0$$ $$0$$ $$4$$ $$3$$ $$-$$ $$q+2q^{5}+(2-\beta )q^{7}-q^{11}+q^{13}+(-3+\cdots)q^{19}+\cdots$$
5148.2.a.l $$3$$ $$41.107$$ 3.3.404.1 None $$0$$ $$0$$ $$-4$$ $$-4$$ $$+$$ $$q+(-1-2\beta _{1}+\beta _{2})q^{5}+(-2+\beta _{1}+\cdots)q^{7}+\cdots$$
5148.2.a.m $$3$$ $$41.107$$ 3.3.564.1 None $$0$$ $$0$$ $$-2$$ $$4$$ $$+$$ $$q+(-1+\beta _{1})q^{5}+(1-\beta _{2})q^{7}-q^{11}+\cdots$$
5148.2.a.n $$3$$ $$41.107$$ 3.3.1620.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$q-\beta _{1}q^{5}+\beta _{2}q^{7}+q^{11}-q^{13}+(-2+\cdots)q^{17}+\cdots$$
5148.2.a.o $$3$$ $$41.107$$ 3.3.229.1 None $$0$$ $$0$$ $$1$$ $$-7$$ $$+$$ $$q+(-\beta _{1}-\beta _{2})q^{5}+(-2-2\beta _{1}+\beta _{2})q^{7}+\cdots$$
5148.2.a.p $$4$$ $$41.107$$ 4.4.82128.1 None $$0$$ $$0$$ $$-4$$ $$2$$ $$+$$ $$q+(-1+\beta _{1})q^{5}+(1-\beta _{1}+\beta _{2})q^{7}+\cdots$$
5148.2.a.q $$4$$ $$41.107$$ 4.4.90996.1 None $$0$$ $$0$$ $$-2$$ $$2$$ $$-$$ $$q+\beta _{1}q^{5}+(1+\beta _{2})q^{7}-q^{11}+q^{13}+\cdots$$
5148.2.a.r $$4$$ $$41.107$$ 4.4.82128.1 None $$0$$ $$0$$ $$4$$ $$2$$ $$-$$ $$q+(1-\beta _{1})q^{5}+(1-\beta _{1}+\beta _{2})q^{7}+q^{11}+\cdots$$
5148.2.a.s $$5$$ $$41.107$$ 5.5.815952.1 None $$0$$ $$0$$ $$-2$$ $$-2$$ $$+$$ $$q-\beta _{4}q^{5}+\beta _{3}q^{7}+q^{11}-q^{13}+(-\beta _{1}+\cdots)q^{17}+\cdots$$
5148.2.a.t $$5$$ $$41.107$$ 5.5.815952.1 None $$0$$ $$0$$ $$2$$ $$-2$$ $$-$$ $$q+\beta _{4}q^{5}+\beta _{3}q^{7}-q^{11}-q^{13}+(\beta _{1}+\cdots)q^{17}+\cdots$$
5148.2.d.a $$48$$ $$41.107$$ None $$0$$ $$0$$ $$0$$ $$0$$
5148.2.e.a $$2$$ $$41.107$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+4iq^{7}+iq^{11}+(-3+2i)q^{13}+\cdots$$
5148.2.e.b $$4$$ $$41.107$$ $$\Q(i, \sqrt{21})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}-\beta _{2})q^{7}+\beta _{2}q^{11}+(2-3\beta _{2}+\cdots)q^{13}+\cdots$$
5148.2.e.c $$8$$ $$41.107$$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{1}-\beta _{5}-\beta _{6}+\beta _{7})q^{5}+(\beta _{1}+\beta _{4}+\cdots)q^{7}+\cdots$$
5148.2.e.d $$10$$ $$41.107$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{6}q^{5}-\beta _{9}q^{7}-\beta _{3}q^{11}+(\beta _{1}+\beta _{2}+\cdots)q^{13}+\cdots$$
5148.2.e.e $$10$$ $$41.107$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{8}q^{5}+(\beta _{8}+\beta _{9})q^{7}+\beta _{7}q^{11}+(-\beta _{4}+\cdots)q^{13}+\cdots$$
5148.2.e.f $$24$$ $$41.107$$ None $$0$$ $$0$$ $$0$$ $$0$$
5148.2.p.a $$56$$ $$41.107$$ None $$0$$ $$0$$ $$0$$ $$0$$
5148.2.ba.a $$44$$ $$41.107$$ None $$0$$ $$0$$ $$0$$ $$0$$
5148.2.ba.b $$44$$ $$41.107$$ None $$0$$ $$0$$ $$0$$ $$0$$