## Results (30 matches)

Label Dim. $$A$$ Field CM Traces A-L signs $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$ 2 3 11 13
6864.2.a.a $$1$$ $$54.809$$ $$\Q$$ None $$0$$ $$-1$$ $$-3$$ $$-5$$ $$-$$ $$+$$ $$-$$ $$-$$ $$q-q^{3}-3q^{5}-5q^{7}+q^{9}+q^{11}+q^{13}+\cdots$$
6864.2.a.b $$1$$ $$54.809$$ $$\Q$$ None $$0$$ $$-1$$ $$-3$$ $$-3$$ $$+$$ $$+$$ $$-$$ $$+$$ $$q-q^{3}-3q^{5}-3q^{7}+q^{9}+q^{11}-q^{13}+\cdots$$
6864.2.a.e $$1$$ $$54.809$$ $$\Q$$ None $$0$$ $$-1$$ $$-2$$ $$0$$ $$-$$ $$+$$ $$-$$ $$-$$ $$q-q^{3}-2q^{5}+q^{9}+q^{11}+q^{13}+2q^{15}+\cdots$$
6864.2.a.g $$1$$ $$54.809$$ $$\Q$$ None $$0$$ $$-1$$ $$-1$$ $$-1$$ $$-$$ $$+$$ $$+$$ $$+$$ $$q-q^{3}-q^{5}-q^{7}+q^{9}-q^{11}-q^{13}+\cdots$$
6864.2.a.h $$1$$ $$54.809$$ $$\Q$$ None $$0$$ $$-1$$ $$0$$ $$-2$$ $$-$$ $$+$$ $$-$$ $$-$$ $$q-q^{3}-2q^{7}+q^{9}+q^{11}+q^{13}+6q^{17}+\cdots$$
6864.2.a.j $$1$$ $$54.809$$ $$\Q$$ None $$0$$ $$-1$$ $$0$$ $$4$$ $$-$$ $$+$$ $$-$$ $$-$$ $$q-q^{3}+4q^{7}+q^{9}+q^{11}+q^{13}+4q^{19}+\cdots$$
6864.2.a.k $$1$$ $$54.809$$ $$\Q$$ None $$0$$ $$-1$$ $$2$$ $$-4$$ $$-$$ $$+$$ $$+$$ $$+$$ $$q-q^{3}+2q^{5}-4q^{7}+q^{9}-q^{11}-q^{13}+\cdots$$
6864.2.a.m $$1$$ $$54.809$$ $$\Q$$ None $$0$$ $$-1$$ $$2$$ $$-4$$ $$+$$ $$+$$ $$+$$ $$-$$ $$q-q^{3}+2q^{5}-4q^{7}+q^{9}-q^{11}+q^{13}+\cdots$$
6864.2.a.p $$1$$ $$54.809$$ $$\Q$$ None $$0$$ $$-1$$ $$4$$ $$4$$ $$-$$ $$+$$ $$+$$ $$+$$ $$q-q^{3}+4q^{5}+4q^{7}+q^{9}-q^{11}-q^{13}+\cdots$$
6864.2.a.s $$1$$ $$54.809$$ $$\Q$$ None $$0$$ $$1$$ $$-2$$ $$0$$ $$-$$ $$-$$ $$+$$ $$-$$ $$q+q^{3}-2q^{5}+q^{9}-q^{11}+q^{13}-2q^{15}+\cdots$$
6864.2.a.w $$1$$ $$54.809$$ $$\Q$$ None $$0$$ $$1$$ $$0$$ $$0$$ $$-$$ $$-$$ $$+$$ $$-$$ $$q+q^{3}+q^{9}-q^{11}+q^{13}-4q^{17}+\cdots$$
6864.2.a.y $$1$$ $$54.809$$ $$\Q$$ None $$0$$ $$1$$ $$2$$ $$-4$$ $$-$$ $$-$$ $$-$$ $$+$$ $$q+q^{3}+2q^{5}-4q^{7}+q^{9}+q^{11}-q^{13}+\cdots$$
6864.2.a.ba $$1$$ $$54.809$$ $$\Q$$ None $$0$$ $$1$$ $$4$$ $$0$$ $$-$$ $$-$$ $$+$$ $$-$$ $$q+q^{3}+4q^{5}+q^{9}-q^{11}+q^{13}+4q^{15}+\cdots$$
6864.2.a.bc $$2$$ $$54.809$$ $$\Q(\sqrt{2})$$ None $$0$$ $$-2$$ $$-4$$ $$4$$ $$-$$ $$+$$ $$+$$ $$+$$ $$q-q^{3}+(-2+\beta )q^{5}+(2+2\beta )q^{7}+q^{9}+\cdots$$
6864.2.a.bf $$2$$ $$54.809$$ $$\Q(\sqrt{41})$$ None $$0$$ $$-2$$ $$4$$ $$0$$ $$-$$ $$+$$ $$-$$ $$-$$ $$q-q^{3}+2q^{5}+q^{9}+q^{11}+q^{13}-2q^{15}+\cdots$$
6864.2.a.bh $$2$$ $$54.809$$ $$\Q(\sqrt{17})$$ None $$0$$ $$2$$ $$-3$$ $$1$$ $$-$$ $$-$$ $$+$$ $$-$$ $$q+q^{3}+(-1-\beta )q^{5}+(1-\beta )q^{7}+q^{9}+\cdots$$
6864.2.a.bk $$2$$ $$54.809$$ $$\Q(\sqrt{3})$$ None $$0$$ $$2$$ $$-2$$ $$4$$ $$-$$ $$-$$ $$-$$ $$+$$ $$q+q^{3}+(-1+\beta )q^{5}+2q^{7}+q^{9}+q^{11}+\cdots$$
6864.2.a.bl $$2$$ $$54.809$$ $$\Q(\sqrt{33})$$ None $$0$$ $$2$$ $$1$$ $$1$$ $$-$$ $$-$$ $$-$$ $$+$$ $$q+q^{3}+\beta q^{5}+\beta q^{7}+q^{9}+q^{11}-q^{13}+\cdots$$
6864.2.a.bn $$3$$ $$54.809$$ 3.3.404.1 None $$0$$ $$-3$$ $$-4$$ $$6$$ $$+$$ $$+$$ $$+$$ $$-$$ $$q-q^{3}+(-1-\beta _{2})q^{5}+(2+\beta _{1}-\beta _{2})q^{7}+\cdots$$
6864.2.a.bq $$3$$ $$54.809$$ 3.3.148.1 None $$0$$ $$-3$$ $$0$$ $$2$$ $$+$$ $$+$$ $$-$$ $$+$$ $$q-q^{3}-\beta _{2}q^{5}+(1-\beta _{1}-\beta _{2})q^{7}+q^{9}+\cdots$$
6864.2.a.br $$3$$ $$54.809$$ 3.3.564.1 None $$0$$ $$-3$$ $$2$$ $$-4$$ $$-$$ $$+$$ $$+$$ $$+$$ $$q-q^{3}+(1-\beta _{1})q^{5}+(-1+\beta _{2})q^{7}+\cdots$$
6864.2.a.bt $$3$$ $$54.809$$ 3.3.404.1 None $$0$$ $$-3$$ $$4$$ $$4$$ $$-$$ $$+$$ $$-$$ $$-$$ $$q-q^{3}+(1+2\beta _{1}-\beta _{2})q^{5}+(2-\beta _{1}+\cdots)q^{7}+\cdots$$
6864.2.a.bv $$3$$ $$54.809$$ 3.3.1620.1 None $$0$$ $$3$$ $$0$$ $$0$$ $$-$$ $$-$$ $$-$$ $$+$$ $$q+q^{3}+\beta _{1}q^{5}-\beta _{2}q^{7}+q^{9}+q^{11}+\cdots$$
6864.2.a.bx $$4$$ $$54.809$$ 4.4.83476.1 None $$0$$ $$-4$$ $$2$$ $$2$$ $$+$$ $$+$$ $$-$$ $$+$$ $$q-q^{3}+\beta _{3}q^{5}+(1-\beta _{1}-\beta _{3})q^{7}+q^{9}+\cdots$$
6864.2.a.ca $$4$$ $$54.809$$ 4.4.70164.1 None $$0$$ $$4$$ $$1$$ $$1$$ $$+$$ $$-$$ $$+$$ $$+$$ $$q+q^{3}+\beta _{1}q^{5}+(1+\beta _{2}-\beta _{3})q^{7}+q^{9}+\cdots$$
6864.2.a.cb $$4$$ $$54.809$$ 4.4.90996.1 None $$0$$ $$4$$ $$2$$ $$-2$$ $$-$$ $$-$$ $$+$$ $$-$$ $$q+q^{3}-\beta _{1}q^{5}+(-1-\beta _{2})q^{7}+q^{9}+\cdots$$
6864.2.a.cc $$4$$ $$54.809$$ 4.4.23252.1 None $$0$$ $$4$$ $$4$$ $$-2$$ $$+$$ $$-$$ $$+$$ $$+$$ $$q+q^{3}+(1+\beta _{2})q^{5}-\beta _{1}q^{7}+q^{9}-q^{11}+\cdots$$
6864.2.a.cd $$4$$ $$54.809$$ 4.4.29268.1 None $$0$$ $$4$$ $$4$$ $$2$$ $$+$$ $$-$$ $$-$$ $$-$$ $$q+q^{3}+(1-\beta _{1})q^{5}+(1+\beta _{2})q^{7}+q^{9}+\cdots$$
6864.2.a.ce $$5$$ $$54.809$$ 5.5.46437524.1 None $$0$$ $$-5$$ $$1$$ $$3$$ $$+$$ $$+$$ $$+$$ $$-$$ $$q-q^{3}+\beta _{1}q^{5}+(1+\beta _{4})q^{7}+q^{9}-q^{11}+\cdots$$
6864.2.a.cf $$5$$ $$54.809$$ 5.5.2172244.1 None $$0$$ $$5$$ $$1$$ $$5$$ $$+$$ $$-$$ $$-$$ $$-$$ $$q+q^{3}+\beta _{1}q^{5}+(1+\beta _{4})q^{7}+q^{9}+q^{11}+\cdots$$