## Results (42 matches)

Label Dim. $$A$$ Field CM Traces A-L signs $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$ 2 5 7
9800.2.a.a $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$-3$$ $$0$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q-3q^{3}+6q^{9}-5q^{11}-5q^{13}-7q^{17}+\cdots$$
9800.2.a.b $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$-3$$ $$0$$ $$0$$ $$+$$ $$+$$ $$+$$ $$q-3q^{3}+6q^{9}-q^{11}-2q^{13}-3q^{17}+\cdots$$
9800.2.a.c $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$-3$$ $$0$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q-3q^{3}+6q^{9}+q^{11}+4q^{13}+5q^{17}+\cdots$$
9800.2.a.d $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$+$$ $$-$$ $$-$$ $$q-2q^{3}+q^{9}-4q^{11}-4q^{13}+4q^{19}+\cdots$$
9800.2.a.e $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q-2q^{3}+q^{9}-3q^{11}+2q^{13}-4q^{17}+\cdots$$
9800.2.a.f $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$+$$ $$-$$ $$-$$ $$q-2q^{3}+q^{9}-3q^{11}+2q^{13}-4q^{17}+\cdots$$
9800.2.a.h $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$+$$ $$-$$ $$-$$ $$q-2q^{3}+q^{9}+q^{11}-4q^{13}-6q^{19}+\cdots$$
9800.2.a.k $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$+$$ $$-$$ $$-$$ $$q-2q^{3}+q^{9}+4q^{11}+2q^{13}+3q^{17}+\cdots$$
9800.2.a.n $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$-1$$ $$0$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q-q^{3}-2q^{9}-5q^{11}+q^{13}+3q^{17}+\cdots$$
9800.2.a.o $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$-1$$ $$0$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q-q^{3}-2q^{9}-2q^{11}+4q^{13}-6q^{19}+\cdots$$
9800.2.a.r $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$-1$$ $$0$$ $$0$$ $$+$$ $$+$$ $$+$$ $$q-q^{3}-2q^{9}+2q^{11}-4q^{17}-2q^{19}+\cdots$$
9800.2.a.s $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$-1$$ $$0$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q-q^{3}-2q^{9}+3q^{11}-6q^{13}-5q^{17}+\cdots$$
9800.2.a.t $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$-1$$ $$0$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q-q^{3}-2q^{9}+3q^{11}+q^{13}-5q^{17}+\cdots$$
9800.2.a.v $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q-3q^{9}+q^{11}-2q^{13}-4q^{17}+2q^{19}+\cdots$$
9800.2.a.w $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$+$$ $$-$$ $$-$$ $$q-3q^{9}+q^{11}+2q^{13}+4q^{17}+2q^{19}+\cdots$$
9800.2.a.x $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q-3q^{9}+4q^{11}-2q^{13}+2q^{17}-4q^{19}+\cdots$$
9800.2.a.bb $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$1$$ $$0$$ $$0$$ $$+$$ $$-$$ $$-$$ $$q+q^{3}-2q^{9}-q^{11}-q^{13}-3q^{17}+\cdots$$
9800.2.a.bd $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$1$$ $$0$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q+q^{3}-2q^{9}+3q^{11}-q^{13}+5q^{17}+\cdots$$
9800.2.a.bg $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q+2q^{3}+q^{9}-3q^{11}-2q^{13}+4q^{17}+\cdots$$
9800.2.a.bh $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$+$$ $$-$$ $$-$$ $$q+2q^{3}+q^{9}-3q^{11}-2q^{13}+4q^{17}+\cdots$$
9800.2.a.bi $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$+$$ $$+$$ $$+$$ $$q+2q^{3}+q^{9}-q^{11}+3q^{13}+2q^{17}+\cdots$$
9800.2.a.bj $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q+2q^{3}+q^{9}-2q^{17}+2q^{19}-8q^{23}+\cdots$$
9800.2.a.bk $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q+2q^{3}+q^{9}+q^{11}+4q^{13}-6q^{19}+\cdots$$
9800.2.a.bl $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q+2q^{3}+q^{9}+4q^{11}-2q^{13}-3q^{17}+\cdots$$
9800.2.a.bq $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$3$$ $$0$$ $$0$$ $$+$$ $$-$$ $$-$$ $$q+3q^{3}+6q^{9}+q^{11}-4q^{13}-5q^{17}+\cdots$$
9800.2.a.bs $$2$$ $$78.253$$ $$\Q(\sqrt{2})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$+$$ $$+$$ $$+$$ $$q+(-1+\beta )q^{3}-2\beta q^{9}-q^{11}+(-1+\cdots)q^{13}+\cdots$$
9800.2.a.bv $$2$$ $$78.253$$ $$\Q(\sqrt{2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$+$$ $$+$$ $$+$$ $$q+\beta q^{3}-q^{9}+6q^{11}-4\beta q^{13}+\beta q^{17}+\cdots$$
9800.2.a.bw $$2$$ $$78.253$$ $$\Q(\sqrt{2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q+\beta q^{3}+5q^{9}-4q^{11}-\beta q^{13}-2\beta q^{17}+\cdots$$
9800.2.a.bz $$2$$ $$78.253$$ $$\Q(\sqrt{2})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$+$$ $$+$$ $$+$$ $$q+(1+\beta )q^{3}+2\beta q^{9}+(-2-2\beta )q^{11}+\cdots$$
9800.2.a.ca $$2$$ $$78.253$$ $$\Q(\sqrt{2})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$+$$ $$+$$ $$+$$ $$q+(1+\beta )q^{3}+2\beta q^{9}-q^{11}+(1-\beta )q^{13}+\cdots$$
9800.2.a.cb $$3$$ $$78.253$$ $$\Q(\zeta_{18})^+$$ None $$0$$ $$-3$$ $$0$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q+(-1+\beta _{1})q^{3}+(-2\beta _{1}+\beta _{2})q^{9}+\cdots$$
9800.2.a.cd $$3$$ $$78.253$$ 3.3.568.1 None $$0$$ $$-1$$ $$0$$ $$0$$ $$+$$ $$-$$ $$-$$ $$q-\beta _{1}q^{3}+(1+2\beta _{1}+\beta _{2})q^{9}+(2-\beta _{2})q^{11}+\cdots$$
9800.2.a.cf $$3$$ $$78.253$$ 3.3.1944.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q-\beta _{1}q^{3}+(3+\beta _{1}+\beta _{2})q^{9}+(1+\beta _{1}+\cdots)q^{11}+\cdots$$
9800.2.a.ch $$3$$ $$78.253$$ $$\Q(\zeta_{18})^+$$ None $$0$$ $$3$$ $$0$$ $$0$$ $$+$$ $$-$$ $$-$$ $$q+(1-\beta _{1})q^{3}+(-2\beta _{1}+\beta _{2})q^{9}+(-2+\cdots)q^{11}+\cdots$$
9800.2.a.cj $$4$$ $$78.253$$ 4.4.43449.1 None $$0$$ $$-3$$ $$0$$ $$0$$ $$-$$ $$-$$ $$+$$ $$q+(-1+\beta _{1})q^{3}+(2-\beta _{1}+\beta _{2})q^{9}+\cdots$$
9800.2.a.cm $$4$$ $$78.253$$ $$\Q(\sqrt{2}, \sqrt{5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$-$$ $$+$$ $$q+\beta _{1}q^{3}+\beta _{3}q^{9}-q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots$$
9800.2.a.cn $$4$$ $$78.253$$ $$\Q(\sqrt{2}, \sqrt{5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$+$$ $$+$$ $$+$$ $$q+\beta _{1}q^{3}+\beta _{3}q^{9}-q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots$$
9800.2.a.co $$4$$ $$78.253$$ 4.4.13448.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$+$$ $$-$$ $$-$$ $$q+\beta _{1}q^{3}+(1+\beta _{2})q^{9}+(2+\beta _{2})q^{11}+\cdots$$
9800.2.a.ct $$4$$ $$78.253$$ 4.4.43449.1 None $$0$$ $$3$$ $$0$$ $$0$$ $$+$$ $$+$$ $$+$$ $$q+(1-\beta _{1})q^{3}+(2-\beta _{1}+\beta _{2})q^{9}+(-\beta _{2}+\cdots)q^{11}+\cdots$$
9800.2.a.cv $$6$$ $$78.253$$ 6.6.239575536.1 None $$0$$ $$-1$$ $$0$$ $$0$$ $$-$$ $$-$$ $$+$$ $$q-\beta _{1}q^{3}+(1+\beta _{2})q^{9}+(\beta _{1}+\beta _{5})q^{11}+\cdots$$
9800.2.a.cw $$6$$ $$78.253$$ 6.6.239575536.1 None $$0$$ $$-1$$ $$0$$ $$0$$ $$+$$ $$-$$ $$-$$ $$q-\beta _{1}q^{3}+(1+\beta _{2})q^{9}+(\beta _{1}+\beta _{5})q^{11}+\cdots$$
9800.2.a.db $$10$$ $$78.253$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$-$$ $$+$$ $$q+\beta _{7}q^{3}+(1-\beta _{4}-\beta _{8})q^{9}+(-1+\beta _{1}+\cdots)q^{11}+\cdots$$