Results (14 matches)

Label Dim. $$A$$ Field CM Traces A-L signs $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$ 2 7
1568.2.a.a $$1$$ $$12.521$$ $$\Q$$ None $$0$$ $$-2$$ $$-2$$ $$0$$ $$+$$ $$-$$ $$q-2q^{3}-2q^{5}+q^{9}+4q^{11}-6q^{13}+\cdots$$
1568.2.a.b $$1$$ $$12.521$$ $$\Q$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$+$$ $$-$$ $$q-2q^{3}+q^{9}+4q^{11}+4q^{13}+2q^{17}+\cdots$$
1568.2.a.d $$1$$ $$12.521$$ $$\Q$$ $$\Q(\sqrt{-1})$$ $$0$$ $$0$$ $$-4$$ $$0$$ $$+$$ $$-$$ $$q-4q^{5}-3q^{9}+4q^{13}-8q^{17}+11q^{25}+\cdots$$
1568.2.a.f $$1$$ $$12.521$$ $$\Q$$ $$\Q(\sqrt{-1})$$ $$0$$ $$0$$ $$4$$ $$0$$ $$+$$ $$-$$ $$q+4q^{5}-3q^{9}-4q^{13}+8q^{17}+11q^{25}+\cdots$$
1568.2.a.h $$1$$ $$12.521$$ $$\Q$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$+$$ $$-$$ $$q+2q^{3}+q^{9}-4q^{11}+4q^{13}+2q^{17}+\cdots$$
1568.2.a.i $$1$$ $$12.521$$ $$\Q$$ None $$0$$ $$2$$ $$2$$ $$0$$ $$+$$ $$-$$ $$q+2q^{3}+2q^{5}+q^{9}+4q^{11}+6q^{13}+\cdots$$
1568.2.a.p $$2$$ $$12.521$$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-1})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$+$$ $$q+3\beta q^{5}-3q^{9}+5\beta q^{13}-3\beta q^{17}+\cdots$$
1568.2.a.r $$2$$ $$12.521$$ $$\Q(\sqrt{2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$+$$ $$q+\beta q^{3}-q^{9}+2q^{11}+2\beta q^{13}+3\beta q^{17}+\cdots$$
1568.2.a.s $$2$$ $$12.521$$ $$\Q(\sqrt{3})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$-$$ $$+$$ $$q+\beta q^{3}+q^{5}+3\beta q^{11}+\beta q^{15}+5q^{17}+\cdots$$
1568.2.a.t $$2$$ $$12.521$$ $$\Q(\sqrt{7})$$ None $$0$$ $$0$$ $$6$$ $$0$$ $$+$$ $$-$$ $$q+\beta q^{3}+3q^{5}+4q^{9}+\beta q^{11}+4q^{13}+\cdots$$
1568.2.a.u $$2$$ $$12.521$$ $$\Q(\sqrt{2})$$ None $$0$$ $$2$$ $$-2$$ $$0$$ $$+$$ $$-$$ $$q+(1+\beta )q^{3}+(-1-2\beta )q^{5}+2\beta q^{9}+\cdots$$
1568.2.a.v $$2$$ $$12.521$$ $$\Q(\sqrt{5})$$ None $$0$$ $$2$$ $$-2$$ $$0$$ $$+$$ $$-$$ $$q+(1+\beta )q^{3}+(-1+\beta )q^{5}+(3+2\beta )q^{9}+\cdots$$
1568.2.a.w $$2$$ $$12.521$$ $$\Q(\sqrt{2})$$ None $$0$$ $$2$$ $$2$$ $$0$$ $$-$$ $$+$$ $$q+(1+\beta )q^{3}+(1+2\beta )q^{5}+2\beta q^{9}+(-1+\cdots)q^{11}+\cdots$$
1568.2.a.x $$4$$ $$12.521$$ $$\Q(\sqrt{2}, \sqrt{5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$+$$ $$q-\beta _{2}q^{3}-2\beta _{1}q^{5}+7q^{9}-\beta _{3}q^{11}+\cdots$$