## Results (1-50 of 113 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1911.1.h.a $$1$$ $$0.954$$ $$\Q$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-39})$$ $$\Q(\sqrt{13})$$ $$0$$ $$1$$ $$0$$ $$0$$ $$q+q^{3}-q^{4}+q^{9}-q^{12}+q^{13}+q^{16}+\cdots$$
1911.1.h.b $$2$$ $$0.954$$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-\beta q^{2}-q^{3}+q^{4}-\beta q^{5}+\beta q^{6}+q^{9}+\cdots$$
1911.1.h.c $$2$$ $$0.954$$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q-\beta q^{2}+q^{3}+q^{4}+\beta q^{5}-\beta q^{6}+q^{9}+\cdots$$
1911.1.h.d $$4$$ $$0.954$$ $$\Q(\zeta_{16})^+$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$-4$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{3}q^{5}+\cdots$$
1911.1.h.e $$4$$ $$0.954$$ $$\Q(\zeta_{16})^+$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$4$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{3}q^{5}+\cdots$$
1911.1.s.a $$2$$ $$0.954$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$0$$ $$q+\zeta_{6}q^{3}+q^{4}+\zeta_{6}^{2}q^{9}+\zeta_{6}q^{12}+\cdots$$
1911.1.s.b $$4$$ $$0.954$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{3}q^{2}-\zeta_{12}q^{3}+\zeta_{12}q^{5}-\zeta_{12}^{4}q^{6}+\cdots$$
1911.1.w.a $$2$$ $$0.954$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-39})$$ $$\Q(\sqrt{13})$$ $$0$$ $$-1$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{3}+\zeta_{6}q^{4}+\zeta_{6}^{2}q^{9}-\zeta_{6}^{2}q^{12}+\cdots$$
1911.1.w.b $$2$$ $$0.954$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-39})$$ $$\Q(\sqrt{13})$$ $$0$$ $$1$$ $$0$$ $$0$$ $$q+\zeta_{6}q^{3}+\zeta_{6}q^{4}+\zeta_{6}^{2}q^{9}+\zeta_{6}^{2}q^{12}+\cdots$$
1911.1.w.c $$4$$ $$0.954$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+\beta _{2}q^{3}+\beta _{2}q^{4}+\beta _{1}q^{5}+\cdots$$
1911.1.w.d $$4$$ $$0.954$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}-\beta _{2}q^{3}+\beta _{2}q^{4}-\beta _{1}q^{5}+\cdots$$
1911.1.w.e $$8$$ $$0.954$$ 8.0.339738624.2 $$\Q(\sqrt{-39})$$ None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+\beta _{3}q^{2}+\beta _{5}q^{3}+(\beta _{5}-\beta _{6})q^{4}+\beta _{1}q^{5}+\cdots$$
1911.1.w.f $$8$$ $$0.954$$ 8.0.339738624.2 $$\Q(\sqrt{-39})$$ None $$0$$ $$4$$ $$0$$ $$0$$ $$q+\beta _{3}q^{2}-\beta _{5}q^{3}+(\beta _{5}-\beta _{6})q^{4}-\beta _{1}q^{5}+\cdots$$
1911.1.x.a $$2$$ $$0.954$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+q^{3}+\zeta_{6}q^{4}+q^{9}+\zeta_{6}q^{12}-\zeta_{6}q^{13}+\cdots$$
1911.1.bc.a $$2$$ $$0.954$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{3}-\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{9}-q^{12}+\cdots$$
1911.1.bc.b $$2$$ $$0.954$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$0$$ $$q+\zeta_{6}q^{3}-\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{9}+q^{12}+\cdots$$
1911.1.be.a $$2$$ $$0.954$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{9}+q^{12}+\cdots$$
1911.1.be.b $$2$$ $$0.954$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{9}-q^{12}+\cdots$$
1911.1.be.c $$4$$ $$0.954$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{5}q^{3}-\zeta_{12}^{3}q^{5}+\cdots$$
1911.1.be.d $$4$$ $$0.954$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{2}+\zeta_{12}^{5}q^{3}+\zeta_{12}^{3}q^{5}+\cdots$$
1911.1.bm.a $$2$$ $$0.954$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-q^{3}-\zeta_{6}q^{4}+q^{9}+\zeta_{6}q^{12}+\zeta_{6}q^{13}+\cdots$$
1911.1.bm.b $$4$$ $$0.954$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}q^{5}+\zeta_{12}^{2}q^{6}+\cdots$$
1911.1.bp.a $$2$$ $$0.954$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{3}-q^{4}+\zeta_{6}^{2}q^{9}+\zeta_{6}q^{12}+\cdots$$
1911.1.bt.a $$4$$ $$0.954$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{5}q^{3}-\zeta_{12}^{3}q^{4}-\zeta_{12}^{4}q^{9}+\cdots$$
1911.1.cb.a $$4$$ $$0.954$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{3}+\zeta_{12}q^{4}-\zeta_{12}^{4}q^{9}-q^{12}+\cdots$$
1911.1.cb.b $$4$$ $$0.954$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{5}q^{3}+\zeta_{12}q^{4}-\zeta_{12}^{4}q^{9}+q^{12}+\cdots$$
1911.1.cc.a $$4$$ $$0.954$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{3}+\zeta_{12}q^{4}+\zeta_{12}^{2}q^{9}-\zeta_{12}^{2}q^{12}+\cdots$$
1911.1.cc.b $$4$$ $$0.954$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{3}+\zeta_{12}q^{4}+\zeta_{12}^{2}q^{9}+\zeta_{12}^{2}q^{12}+\cdots$$
1911.1.ci.a $$4$$ $$0.954$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{3}q^{3}-\zeta_{12}^{5}q^{4}-q^{9}+\zeta_{12}^{2}q^{12}+\cdots$$
1911.1.cj.a $$6$$ $$0.954$$ $$\Q(\zeta_{14})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$-1$$ $$q+\zeta_{14}^{3}q^{3}-\zeta_{14}^{2}q^{4}-\zeta_{14}q^{7}+\zeta_{14}^{6}q^{9}+\cdots$$
1911.1.cj.b $$6$$ $$0.954$$ $$\Q(\zeta_{14})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$1$$ $$q+\zeta_{14}^{3}q^{3}-\zeta_{14}^{2}q^{4}+\zeta_{14}q^{7}+\zeta_{14}^{6}q^{9}+\cdots$$
1911.1.cv.a $$12$$ $$0.954$$ $$\Q(\zeta_{28})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-\zeta_{28}^{3}q^{3}-\zeta_{28}^{9}q^{4}+\zeta_{28}^{8}q^{7}+\cdots$$
1911.1.cv.b $$12$$ $$0.954$$ $$\Q(\zeta_{28})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{28}^{3}q^{3}-\zeta_{28}^{9}q^{4}+\zeta_{28}q^{7}+\zeta_{28}^{6}q^{9}+\cdots$$
1911.1.da.a $$12$$ $$0.954$$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$-1$$ $$q+\zeta_{42}^{19}q^{3}+\zeta_{42}^{15}q^{4}-\zeta_{42}^{4}q^{7}+\cdots$$
1911.1.dd.a $$12$$ $$0.954$$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-2$$ $$0$$ $$1$$ $$q+\zeta_{42}^{6}q^{3}-\zeta_{42}^{11}q^{4}+\zeta_{42}^{16}q^{7}+\cdots$$
1911.1.ds.a $$12$$ $$0.954$$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$2$$ $$0$$ $$1$$ $$q-\zeta_{42}^{6}q^{3}-\zeta_{42}^{4}q^{4}+\zeta_{42}^{2}q^{7}+\cdots$$
1911.1.dx.a $$12$$ $$0.954$$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$1$$ $$q+\zeta_{42}^{20}q^{3}+\zeta_{42}^{18}q^{4}+\zeta_{42}^{2}q^{7}+\cdots$$
1911.1.ea.a $$24$$ $$0.954$$ $$\Q(\zeta_{84})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q-\zeta_{84}^{33}q^{3}+\zeta_{84}q^{4}+\zeta_{84}^{32}q^{7}+\cdots$$
1911.1.ep.a $$24$$ $$0.954$$ $$\Q(\zeta_{84})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{84}^{13}q^{3}+\zeta_{84}^{39}q^{4}+\zeta_{84}^{37}q^{7}+\cdots$$
1911.2.a.a $$1$$ $$15.259$$ $$\Q$$ None None $$-2$$ $$1$$ $$1$$ $$0$$ $$+$$ $$q-2q^{2}+q^{3}+2q^{4}+q^{5}-2q^{6}+q^{9}+\cdots$$
1911.2.a.b $$1$$ $$15.259$$ $$\Q$$ None None $$-1$$ $$-1$$ $$-4$$ $$0$$ $$+$$ $$q-q^{2}-q^{3}-q^{4}-4q^{5}+q^{6}+3q^{8}+\cdots$$
1911.2.a.c $$1$$ $$15.259$$ $$\Q$$ None None $$-1$$ $$1$$ $$4$$ $$0$$ $$-$$ $$q-q^{2}+q^{3}-q^{4}+4q^{5}-q^{6}+3q^{8}+\cdots$$
1911.2.a.d $$1$$ $$15.259$$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$0$$ $$+$$ $$q-q^{3}-2q^{4}-q^{5}+q^{9}-2q^{11}+2q^{12}+\cdots$$
1911.2.a.e $$1$$ $$15.259$$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$0$$ $$+$$ $$q+q^{3}-2q^{4}+q^{5}+q^{9}-2q^{11}-2q^{12}+\cdots$$
1911.2.a.f $$1$$ $$15.259$$ $$\Q$$ None None $$1$$ $$1$$ $$-2$$ $$0$$ $$+$$ $$q+q^{2}+q^{3}-q^{4}-2q^{5}+q^{6}-3q^{8}+\cdots$$
1911.2.a.g $$1$$ $$15.259$$ $$\Q$$ None None $$2$$ $$-1$$ $$-1$$ $$0$$ $$+$$ $$q+2q^{2}-q^{3}+2q^{4}-q^{5}-2q^{6}+q^{9}+\cdots$$
1911.2.a.h $$2$$ $$15.259$$ $$\Q(\sqrt{2})$$ None None $$-2$$ $$-2$$ $$0$$ $$0$$ $$+$$ $$q+(-1+\beta )q^{2}-q^{3}+(1-2\beta )q^{4}+2\beta q^{5}+\cdots$$
1911.2.a.i $$2$$ $$15.259$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-2$$ $$2$$ $$0$$ $$+$$ $$q+\beta q^{2}-q^{3}+q^{5}-\beta q^{6}-2\beta q^{8}+\cdots$$
1911.2.a.j $$2$$ $$15.259$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$2$$ $$-2$$ $$0$$ $$+$$ $$q+\beta q^{2}+q^{3}-q^{5}+\beta q^{6}-2\beta q^{8}+\cdots$$
1911.2.a.k $$2$$ $$15.259$$ $$\Q(\sqrt{2})$$ None None $$2$$ $$2$$ $$0$$ $$0$$ $$-$$ $$q+(1+\beta )q^{2}+q^{3}+(1+2\beta )q^{4}+(1+\beta )q^{6}+\cdots$$