## Results (39 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.g $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$+$$ $$+$$ $$-$$ $$q-2q^{3}+q^{9}-q^{11}-3q^{13}-2q^{17}+\cdots$$
9800.2.a.i $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$+$$ $$+$$ $$-$$ $$q-2q^{3}+q^{9}+4q^{11}-2q^{13}+2q^{19}+\cdots$$
9800.2.a.j $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$-$$ $$+$$ $$+$$ $$q-2q^{3}+q^{9}+4q^{11}+2q^{13}+3q^{17}+\cdots$$
9800.2.a.l $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$+$$ $$+$$ $$-$$ $$q-2q^{3}+q^{9}+5q^{11}-8q^{17}+2q^{19}+\cdots$$
9800.2.a.m $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$-1$$ $$0$$ $$0$$ $$+$$ $$+$$ $$-$$ $$q-q^{3}-2q^{9}-5q^{11}-7q^{13}+3q^{17}+\cdots$$
9800.2.a.p $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$-1$$ $$0$$ $$0$$ $$-$$ $$-$$ $$-$$ $$q-q^{3}-2q^{9}-q^{11}+q^{13}+3q^{17}+\cdots$$
9800.2.a.q $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$-1$$ $$0$$ $$0$$ $$-$$ $$-$$ $$-$$ $$q-q^{3}-2q^{9}-q^{11}+6q^{13}-7q^{17}+\cdots$$
9800.2.a.u $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$+$$ $$+$$ $$-$$ $$q-3q^{9}-4q^{11}+2q^{13}-6q^{17}-8q^{19}+\cdots$$
9800.2.a.y $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$1$$ $$0$$ $$0$$ $$+$$ $$+$$ $$-$$ $$q+q^{3}-2q^{9}-5q^{11}+7q^{13}-3q^{17}+\cdots$$
9800.2.a.z $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$1$$ $$0$$ $$0$$ $$-$$ $$+$$ $$+$$ $$q+q^{3}-2q^{9}-2q^{11}-4q^{13}+6q^{19}+\cdots$$
9800.2.a.ba $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$1$$ $$0$$ $$0$$ $$+$$ $$+$$ $$-$$ $$q+q^{3}-2q^{9}-q^{11}-6q^{13}+7q^{17}+\cdots$$
9800.2.a.bc $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$1$$ $$0$$ $$0$$ $$+$$ $$+$$ $$-$$ $$q+q^{3}-2q^{9}+2q^{11}+4q^{17}+2q^{19}+\cdots$$
9800.2.a.be $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$1$$ $$0$$ $$0$$ $$-$$ $$+$$ $$+$$ $$q+q^{3}-2q^{9}+3q^{11}+6q^{13}+5q^{17}+\cdots$$
9800.2.a.bf $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$-$$ $$-$$ $$-$$ $$q+2q^{3}+q^{9}-4q^{11}+4q^{13}+4q^{19}+\cdots$$
9800.2.a.bm $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$+$$ $$-$$ $$+$$ $$q+2q^{3}+q^{9}+4q^{11}-2q^{13}-3q^{17}+\cdots$$
9800.2.a.bn $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$+$$ $$+$$ $$-$$ $$q+2q^{3}+q^{9}+4q^{11}+2q^{13}-2q^{19}+\cdots$$
9800.2.a.bo $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$-$$ $$-$$ $$-$$ $$q+2q^{3}+q^{9}+5q^{11}+8q^{17}+2q^{19}+\cdots$$
9800.2.a.bp $$1$$ $$78.253$$ $$\Q$$ None $$0$$ $$3$$ $$0$$ $$0$$ $$+$$ $$+$$ $$-$$ $$q+3q^{3}+6q^{9}-q^{11}+2q^{13}+3q^{17}+\cdots$$
9800.2.a.br $$2$$ $$78.253$$ $$\Q(\sqrt{2})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$+$$ $$+$$ $$-$$ $$q+(-1+\beta )q^{3}-2\beta q^{9}+(-2+2\beta )q^{11}+\cdots$$
9800.2.a.bt $$2$$ $$78.253$$ $$\Q(\sqrt{17})$$ None $$0$$ $$-1$$ $$0$$ $$0$$ $$-$$ $$-$$ $$-$$ $$q-\beta q^{3}+(1+\beta )q^{9}+(-3+2\beta )q^{11}+\cdots$$
9800.2.a.bu $$2$$ $$78.253$$ $$\Q(\sqrt{33})$$ None $$0$$ $$-1$$ $$0$$ $$0$$ $$+$$ $$+$$ $$-$$ $$q-\beta q^{3}+(5+\beta )q^{9}+(4-\beta )q^{11}+(2+\cdots)q^{13}+\cdots$$
9800.2.a.bx $$2$$ $$78.253$$ $$\Q(\sqrt{17})$$ None $$0$$ $$1$$ $$0$$ $$0$$ $$+$$ $$+$$ $$-$$ $$q+\beta q^{3}+(1+\beta )q^{9}+(-3+2\beta )q^{11}+\cdots$$
9800.2.a.by $$2$$ $$78.253$$ $$\Q(\sqrt{17})$$ None $$0$$ $$1$$ $$0$$ $$0$$ $$+$$ $$+$$ $$-$$ $$q+\beta q^{3}+(1+\beta )q^{9}-\beta q^{11}+(2-3\beta )q^{13}+\cdots$$
9800.2.a.cc $$3$$ $$78.253$$ $$\Q(\zeta_{18})^+$$ None $$0$$ $$-3$$ $$0$$ $$0$$ $$+$$ $$-$$ $$+$$ $$q+(-1+\beta _{1})q^{3}+(-2\beta _{1}+\beta _{2})q^{9}+\cdots$$
9800.2.a.ce $$3$$ $$78.253$$ 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.cg $$3$$ $$78.253$$ 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.ci $$3$$ $$78.253$$ $$\Q(\zeta_{18})^+$$ 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.ck $$4$$ $$78.253$$ 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.cl $$4$$ $$78.253$$ 4.4.16448.2 None $$0$$ $$-2$$ $$0$$ $$0$$ $$-$$ $$+$$ $$+$$ $$q-\beta _{1}q^{3}+(1+\beta _{1}+\beta _{2})q^{9}+(\beta _{1}-\beta _{2}+\cdots)q^{11}+\cdots$$
9800.2.a.cp $$4$$ $$78.253$$ 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.cq $$4$$ $$78.253$$ $$\Q(\sqrt{7}, \sqrt{15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$-$$ $$-$$ $$q+\beta _{2}q^{3}+(2-\beta _{3})q^{9}+q^{11}+(\beta _{1}+\beta _{2}+\cdots)q^{13}+\cdots$$
9800.2.a.cr $$4$$ $$78.253$$ $$\Q(\sqrt{7}, \sqrt{15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$+$$ $$+$$ $$-$$ $$q+\beta _{2}q^{3}+(2-\beta _{3})q^{9}+q^{11}+(\beta _{1}+\beta _{2}+\cdots)q^{13}+\cdots$$
9800.2.a.cs $$4$$ $$78.253$$ 4.4.16448.2 None $$0$$ $$2$$ $$0$$ $$0$$ $$-$$ $$+$$ $$+$$ $$q+\beta _{1}q^{3}+(1+\beta _{1}+\beta _{2})q^{9}+(\beta _{1}-\beta _{2}+\cdots)q^{11}+\cdots$$
9800.2.a.cu $$4$$ $$78.253$$ 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.cx $$6$$ $$78.253$$ 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.cy $$6$$ $$78.253$$ 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.cz $$8$$ $$78.253$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$+$$ $$+$$ $$q+\beta _{1}q^{3}+(2+\beta _{2})q^{9}+(1+\beta _{3}+\beta _{6}+\cdots)q^{11}+\cdots$$
9800.2.a.da $$8$$ $$78.253$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$+$$ $$-$$ $$+$$ $$q+\beta _{1}q^{3}+(2+\beta _{2})q^{9}+(1+\beta _{3}+\beta _{6}+\cdots)q^{11}+\cdots$$
9800.2.a.dc $$10$$ $$78.253$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$+$$ $$-$$ $$+$$ $$q+\beta _{7}q^{3}+(1-\beta _{4}-\beta _{8})q^{9}+(-1+\beta _{1}+\cdots)q^{11}+\cdots$$