## Results (1-50 of 152 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
3528.1.d.a $$2$$ $$1.761$$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta q^{5}-\beta q^{11}-q^{13}-q^{19}-q^{25}+\cdots$$
3528.1.d.b $$2$$ $$1.761$$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{5}-\beta q^{11}+q^{13}+q^{19}-q^{25}+\cdots$$
3528.1.g.a $$1$$ $$1.761$$ $$\Q$$ $$\Q(\sqrt{-7})$$, $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{14})$$ $$-1$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+q^{4}-q^{8}+2q^{11}+q^{16}-2q^{22}+\cdots$$
3528.1.g.b $$2$$ $$1.761$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-7})$$, $$\Q(\sqrt{-42})$$ $$\Q(\sqrt{6})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}-q^{4}+iq^{8}+q^{16}-iq^{23}+\cdots$$
3528.1.g.c $$2$$ $$1.761$$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-2})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+q^{4}+q^{8}+q^{16}-\beta q^{17}+\beta q^{19}+\cdots$$
3528.1.l.a $$4$$ $$1.761$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{3}q^{2}-q^{4}+(-\zeta_{12}+\zeta_{12}^{5}+\cdots)q^{5}+\cdots$$
3528.1.n.a $$4$$ $$1.761$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{8}+(-\zeta_{8}+\cdots)q^{11}+\cdots$$
3528.1.u.a $$16$$ $$1.761$$ $$\Q(\zeta_{48})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{48}^{4}q^{2}-\zeta_{48}^{9}q^{3}+\zeta_{48}^{8}q^{4}+\cdots$$
3528.1.ba.a $$2$$ $$1.761$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$-1$$ $$-2$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{2}-q^{3}+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{6}+q^{8}+\cdots$$
3528.1.ba.b $$2$$ $$1.761$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$-1$$ $$2$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{2}+q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{6}+q^{8}+\cdots$$
3528.1.ba.c $$4$$ $$1.761$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-2})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{4}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}^{2}q^{4}+\cdots$$
3528.1.ba.d $$4$$ $$1.761$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{2}-\zeta_{12}^{2}q^{3}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{3}q^{5}+\cdots$$
3528.1.ba.e $$8$$ $$1.761$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-2})$$ None $$4$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{8}q^{2}+\zeta_{24}^{9}q^{3}-\zeta_{24}^{4}q^{4}+\cdots$$
3528.1.bd.a $$8$$ $$1.761$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{7}q^{2}-\zeta_{24}^{2}q^{4}+\zeta_{24}^{9}q^{8}+\cdots$$
3528.1.bg.a $$8$$ $$1.761$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{10}q^{2}+\zeta_{24}^{9}q^{3}-\zeta_{24}^{8}q^{4}+\cdots$$
3528.1.bi.a $$8$$ $$1.761$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{6}q^{2}-\zeta_{24}^{7}q^{3}-q^{4}+(-\zeta_{24}^{3}+\cdots)q^{5}+\cdots$$
3528.1.bp.a $$2$$ $$1.761$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-14})$$ None $$2$$ $$-1$$ $$1$$ $$0$$ $$q+q^{2}-\zeta_{6}q^{3}+q^{4}+\zeta_{6}q^{5}-\zeta_{6}q^{6}+\cdots$$
3528.1.bp.b $$2$$ $$1.761$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-14})$$ None $$2$$ $$1$$ $$-1$$ $$0$$ $$q+q^{2}+\zeta_{6}q^{3}+q^{4}-\zeta_{6}q^{5}+\zeta_{6}q^{6}+\cdots$$
3528.1.bp.c $$4$$ $$1.761$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-14})$$ None $$-4$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}-\zeta_{12}q^{3}+q^{4}+(\zeta_{12}^{3}+\zeta_{12}^{5}+\cdots)q^{5}+\cdots$$
3528.1.bw.a $$2$$ $$1.761$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-7})$$, $$\Q(\sqrt{-14})$$ $$\Q(\sqrt{2})$$ $$-1$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+q^{8}+\zeta_{6}^{2}q^{16}+\cdots$$
3528.1.bw.b $$4$$ $$1.761$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-7})$$, $$\Q(\sqrt{-6})$$ $$\Q(\sqrt{42})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{4}+\zeta_{12}^{3}q^{8}+\cdots$$
3528.1.bw.c $$4$$ $$1.761$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{4}+(-\zeta_{12}-\zeta_{12}^{3}+\cdots)q^{5}+\cdots$$
3528.1.bx.a $$2$$ $$1.761$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-7})$$, $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{14})$$ $$1$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-q^{8}+\zeta_{6}^{2}q^{11}+\cdots$$
3528.1.bx.b $$4$$ $$1.761$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{2}+(-1-\beta _{2})q^{4}+q^{8}+\beta _{2}q^{16}+\cdots$$
3528.1.bx.c $$4$$ $$1.761$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-7})$$, $$\Q(\sqrt{-42})$$ $$\Q(\sqrt{6})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{3}q^{8}+\zeta_{12}^{4}q^{16}+\cdots$$
3528.1.ce.a $$2$$ $$1.761$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$2$$ $$-1$$ $$0$$ $$0$$ $$q+q^{2}+\zeta_{6}^{2}q^{3}+q^{4}+\zeta_{6}^{2}q^{6}+q^{8}+\cdots$$
3528.1.ce.b $$2$$ $$1.761$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$2$$ $$1$$ $$0$$ $$0$$ $$q+q^{2}-\zeta_{6}^{2}q^{3}+q^{4}-\zeta_{6}^{2}q^{6}+q^{8}+\cdots$$
3528.1.ce.c $$4$$ $$1.761$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q-\zeta_{12}^{3}q^{2}+q^{3}-q^{4}-\zeta_{12}q^{5}-\zeta_{12}^{3}q^{6}+\cdots$$
3528.1.ce.d $$4$$ $$1.761$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-2})$$ None $$4$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+\zeta_{12}^{5}q^{3}+q^{4}+\zeta_{12}^{5}q^{6}+\cdots$$
3528.1.ce.e $$8$$ $$1.761$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-2})$$ None $$-8$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}-\zeta_{24}^{7}q^{3}+q^{4}+\zeta_{24}^{7}q^{6}+\cdots$$
3528.1.cg.a $$2$$ $$1.761$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$-1$$ $$1$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{2}+\zeta_{6}q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{6}+\cdots$$
3528.1.cg.b $$4$$ $$1.761$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-2})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{4}q^{2}-\zeta_{12}q^{3}-\zeta_{12}^{2}q^{4}-\zeta_{12}^{5}q^{6}+\cdots$$
3528.1.cg.c $$4$$ $$1.761$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{2}-\zeta_{12}^{2}q^{3}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{5}q^{5}+\cdots$$
3528.1.cg.d $$4$$ $$1.761$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{3}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{5}q^{5}+\cdots$$
3528.1.cg.e $$8$$ $$1.761$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-2})$$ None $$4$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{8}q^{2}-\zeta_{24}^{5}q^{3}-\zeta_{24}^{4}q^{4}+\cdots$$
3528.1.cm.a $$16$$ $$1.761$$ $$\Q(\zeta_{48})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{48}^{12}q^{2}+\zeta_{48}^{5}q^{3}-q^{4}+\zeta_{48}^{17}q^{6}+\cdots$$
3528.1.co.a $$16$$ $$1.761$$ $$\Q(\zeta_{48})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{48}^{20}q^{2}+\zeta_{48}^{5}q^{3}-\zeta_{48}^{16}q^{4}+\cdots$$
3528.1.ct.a $$8$$ $$1.761$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{7}q^{2}-\zeta_{24}^{2}q^{4}+\zeta_{24}^{9}q^{8}+\cdots$$
3528.1.cu.a $$4$$ $$1.761$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{1}+\beta _{3})q^{5}-\beta _{1}q^{11}+q^{13}+\cdots$$
3528.1.cw.a $$2$$ $$1.761$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-14})$$ None $$-1$$ $$-1$$ $$-2$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-q^{5}+\cdots$$
3528.1.cw.b $$2$$ $$1.761$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-14})$$ None $$-1$$ $$1$$ $$2$$ $$0$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+q^{5}+\cdots$$
3528.1.cw.c $$4$$ $$1.761$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-14})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{2}q^{2}+\zeta_{12}^{5}q^{3}+\zeta_{12}^{4}q^{4}+\cdots$$
3528.1.db.a $$8$$ $$1.761$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{2}q^{2}-\zeta_{24}^{5}q^{3}+\zeta_{24}^{4}q^{4}+\cdots$$
3528.1.dh.a $$12$$ $$1.761$$ $$\Q(\zeta_{28})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+\zeta_{28}q^{2}+\zeta_{28}^{2}q^{4}+(\zeta_{28}^{9}+\zeta_{28}^{11}+\cdots)q^{5}+\cdots$$
3528.1.fb.a $$24$$ $$1.761$$ $$\Q(\zeta_{84})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q-\zeta_{84}^{31}q^{2}-\zeta_{84}^{20}q^{4}+(-\zeta_{84}^{33}+\cdots)q^{5}+\cdots$$
3528.2.a.a $$1$$ $$28.171$$ $$\Q$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$+$$ $$q-4q^{5}-3q^{13}+4q^{17}+7q^{19}-4q^{23}+\cdots$$
3528.2.a.b $$1$$ $$28.171$$ $$\Q$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$-$$ $$q-4q^{5}-2q^{17}+2q^{19}-8q^{23}+11q^{25}+\cdots$$
3528.2.a.c $$1$$ $$28.171$$ $$\Q$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$+$$ $$q-4q^{5}+3q^{13}+4q^{17}-7q^{19}+4q^{23}+\cdots$$
3528.2.a.d $$1$$ $$28.171$$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$+$$ $$q-2q^{5}-4q^{11}+2q^{13}+2q^{17}+4q^{19}+\cdots$$
3528.2.a.e $$1$$ $$28.171$$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$+$$ $$q-2q^{5}+2q^{11}-2q^{13}-6q^{17}+4q^{19}+\cdots$$