Results (1-50 of 89 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
3675.1.c.a $$1$$ $$1.834$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$0$$ $$q-q^{3}+q^{4}+q^{9}-q^{12}+q^{13}+q^{16}+\cdots$$
3675.1.c.b $$1$$ $$1.834$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$0$$ $$q-q^{3}+q^{4}+q^{9}-q^{12}+q^{13}+q^{16}+\cdots$$
3675.1.c.c $$1$$ $$1.834$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$0$$ $$q+q^{3}+q^{4}+q^{9}+q^{12}-q^{13}+q^{16}+\cdots$$
3675.1.c.d $$1$$ $$1.834$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$0$$ $$q+q^{3}+q^{4}+q^{9}+q^{12}-q^{13}+q^{16}+\cdots$$
3675.1.c.e $$2$$ $$1.834$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-35})$$ $$\Q(\sqrt{21})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{3}+q^{4}-q^{9}-iq^{12}+q^{16}+\cdots$$
3675.1.c.f $$4$$ $$1.834$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{8}-\zeta_{8}^{3})q^{2}+\zeta_{8}^{2}q^{3}-q^{4}+\cdots$$
3675.1.c.g $$4$$ $$1.834$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-\zeta_{8}^{3}q^{6}+\zeta_{8}^{2}q^{8}+\cdots$$
3675.1.c.h $$4$$ $$1.834$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{2}q^{2}+\zeta_{8}^{3}q^{3}-\zeta_{8}q^{6}+\zeta_{8}^{2}q^{8}+\cdots$$
3675.1.f.a $$2$$ $$1.834$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}-q^{4}-q^{9}-iq^{12}-iq^{13}+\cdots$$
3675.1.f.b $$2$$ $$1.834$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}-q^{4}-q^{9}-iq^{12}-iq^{13}+\cdots$$
3675.1.f.c $$4$$ $$1.834$$ $$\Q(\zeta_{8})$$ None None $$-4$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}-\zeta_{8}q^{3}+\zeta_{8}q^{6}+q^{8}+\zeta_{8}^{2}q^{9}+\cdots$$
3675.1.f.d $$4$$ $$1.834$$ $$\Q(\zeta_{8})$$ None None $$4$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}-\zeta_{8}q^{3}-\zeta_{8}q^{6}-q^{8}+\zeta_{8}^{2}q^{9}+\cdots$$
3675.1.k.a $$8$$ $$1.834$$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{16}+\zeta_{16}^{3})q^{2}+\zeta_{16}^{2}q^{3}+(\zeta_{16}^{2}+\cdots)q^{4}+\cdots$$
3675.1.k.b $$8$$ $$1.834$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{9}q^{3}-\zeta_{24}^{6}q^{4}-\zeta_{24}^{6}q^{9}+\cdots$$
3675.1.k.c $$8$$ $$1.834$$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{16}+\zeta_{16}^{3})q^{2}-\zeta_{16}^{2}q^{3}+(\zeta_{16}^{2}+\cdots)q^{4}+\cdots$$
3675.1.p.a $$4$$ $$1.834$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{3}-\zeta_{12}^{4}q^{4}+\zeta_{12}^{2}q^{9}-\zeta_{12}^{5}q^{12}+\cdots$$
3675.1.p.b $$8$$ $$1.834$$ $$\Q(\zeta_{24})$$ None None $$-4$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{4}q^{2}-\zeta_{24}^{5}q^{3}+\zeta_{24}^{9}q^{6}+\cdots$$
3675.1.p.c $$8$$ $$1.834$$ $$\Q(\zeta_{24})$$ None None $$4$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{4}q^{2}-\zeta_{24}^{5}q^{3}-\zeta_{24}^{9}q^{6}+\cdots$$
3675.1.u.a $$2$$ $$1.834$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{9}+\zeta_{6}^{2}q^{12}+\cdots$$
3675.1.u.b $$2$$ $$1.834$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$0$$ $$q+\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{9}-\zeta_{6}^{2}q^{12}+\cdots$$
3675.1.u.c $$4$$ $$1.834$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-35})$$ $$\Q(\sqrt{21})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{3}+\zeta_{12}^{4}q^{4}+\zeta_{12}^{2}q^{9}-\zeta_{12}^{5}q^{12}+\cdots$$
3675.1.u.d $$8$$ $$1.834$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{10}q^{2}+\zeta_{24}^{11}q^{3}-\zeta_{24}^{9}q^{6}+\cdots$$
3675.1.u.e $$8$$ $$1.834$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{10}q^{2}-\zeta_{24}^{5}q^{3}+\zeta_{24}^{3}q^{6}+\cdots$$
3675.1.u.f $$8$$ $$1.834$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{24}+\zeta_{24}^{7})q^{2}-\zeta_{24}^{2}q^{3}-\zeta_{24}^{8}q^{4}+\cdots$$
3675.1.bf.a $$8$$ $$1.834$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-35})$$ $$\Q(\sqrt{105})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{7}q^{3}-\zeta_{24}^{10}q^{4}-\zeta_{24}^{2}q^{9}+\cdots$$
3675.1.bf.b $$8$$ $$1.834$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{7}q^{3}-\zeta_{24}^{10}q^{4}-\zeta_{24}^{2}q^{9}+\cdots$$
3675.1.bf.c $$16$$ $$1.834$$ $$\Q(\zeta_{48})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{48}^{5}-\zeta_{48}^{23})q^{2}-\zeta_{48}^{10}q^{3}+\cdots$$
3675.1.bf.d $$16$$ $$1.834$$ $$\Q(\zeta_{48})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{48}^{7}+\zeta_{48}^{13})q^{2}-\zeta_{48}^{2}q^{3}+(-\zeta_{48}^{2}+\cdots)q^{4}+\cdots$$
3675.1.bj.a $$12$$ $$1.834$$ $$\Q(\zeta_{28})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{28}^{5}q^{3}-\zeta_{28}^{8}q^{4}+\zeta_{28}^{11}q^{7}+\cdots$$
3675.1.bm.a $$6$$ $$1.834$$ $$\Q(\zeta_{14})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$1$$ $$q+\zeta_{14}^{3}q^{3}+\zeta_{14}^{2}q^{4}+\zeta_{14}q^{7}+\zeta_{14}^{6}q^{9}+\cdots$$
3675.1.bx.a $$24$$ $$1.834$$ $$\Q(\zeta_{56})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{56}^{5}q^{3}-\zeta_{56}^{22}q^{4}-\zeta_{56}^{11}q^{7}+\cdots$$
3675.1.cg.a $$12$$ $$1.834$$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$0$$ $$-1$$ $$q-\zeta_{42}^{2}q^{3}+\zeta_{42}^{20}q^{4}+\zeta_{42}^{17}q^{7}+\cdots$$
3675.1.cg.b $$12$$ $$1.834$$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$1$$ $$q+\zeta_{42}^{2}q^{3}+\zeta_{42}^{20}q^{4}-\zeta_{42}^{17}q^{7}+\cdots$$
3675.1.cl.a $$24$$ $$1.834$$ $$\Q(\zeta_{84})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{84}^{25}q^{3}-\zeta_{84}^{40}q^{4}-\zeta_{84}^{13}q^{7}+\cdots$$
3675.1.cy.a $$48$$ $$1.834$$ $$\Q(\zeta_{168})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{168}^{59}q^{3}-\zeta_{168}^{2}q^{4}+\zeta_{168}^{29}q^{7}+\cdots$$
3675.2.a.a $$1$$ $$29.345$$ $$\Q$$ None None $$-2$$ $$-1$$ $$0$$ $$0$$ $$+$$ $$q-2q^{2}-q^{3}+2q^{4}+2q^{6}+q^{9}-2q^{11}+\cdots$$
3675.2.a.b $$1$$ $$29.345$$ $$\Q$$ None None $$-2$$ $$-1$$ $$0$$ $$0$$ $$-$$ $$q-2q^{2}-q^{3}+2q^{4}+2q^{6}+q^{9}+2q^{11}+\cdots$$
3675.2.a.c $$1$$ $$29.345$$ $$\Q$$ None None $$-2$$ $$1$$ $$0$$ $$0$$ $$+$$ $$q-2q^{2}+q^{3}+2q^{4}-2q^{6}+q^{9}-2q^{11}+\cdots$$
3675.2.a.d $$1$$ $$29.345$$ $$\Q$$ None None $$-1$$ $$-1$$ $$0$$ $$0$$ $$+$$ $$q-q^{2}-q^{3}-q^{4}+q^{6}+3q^{8}+q^{9}+\cdots$$
3675.2.a.e $$1$$ $$29.345$$ $$\Q$$ None None $$-1$$ $$-1$$ $$0$$ $$0$$ $$+$$ $$q-q^{2}-q^{3}-q^{4}+q^{6}+3q^{8}+q^{9}+\cdots$$
3675.2.a.f $$1$$ $$29.345$$ $$\Q$$ None None $$-1$$ $$1$$ $$0$$ $$0$$ $$+$$ $$q-q^{2}+q^{3}-q^{4}-q^{6}+3q^{8}+q^{9}+\cdots$$
3675.2.a.g $$1$$ $$29.345$$ $$\Q$$ None None $$-1$$ $$1$$ $$0$$ $$0$$ $$+$$ $$q-q^{2}+q^{3}-q^{4}-q^{6}+3q^{8}+q^{9}+\cdots$$
3675.2.a.h $$1$$ $$29.345$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$0$$ $$+$$ $$q-q^{3}-2q^{4}+q^{9}+2q^{12}+q^{13}+\cdots$$
3675.2.a.i $$1$$ $$29.345$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$0$$ $$+$$ $$q+q^{3}-2q^{4}+q^{9}-2q^{12}-q^{13}+\cdots$$
3675.2.a.j $$1$$ $$29.345$$ $$\Q$$ None None $$1$$ $$-1$$ $$0$$ $$0$$ $$-$$ $$q+q^{2}-q^{3}-q^{4}-q^{6}-3q^{8}+q^{9}+\cdots$$
3675.2.a.k $$1$$ $$29.345$$ $$\Q$$ None None $$1$$ $$-1$$ $$0$$ $$0$$ $$+$$ $$q+q^{2}-q^{3}-q^{4}-q^{6}-3q^{8}+q^{9}+\cdots$$
3675.2.a.l $$1$$ $$29.345$$ $$\Q$$ None None $$1$$ $$1$$ $$0$$ $$0$$ $$-$$ $$q+q^{2}+q^{3}-q^{4}+q^{6}-3q^{8}+q^{9}+\cdots$$
3675.2.a.m $$1$$ $$29.345$$ $$\Q$$ None None $$1$$ $$1$$ $$0$$ $$0$$ $$+$$ $$q+q^{2}+q^{3}-q^{4}+q^{6}-3q^{8}+q^{9}+\cdots$$
3675.2.a.n $$1$$ $$29.345$$ $$\Q$$ None None $$1$$ $$1$$ $$0$$ $$0$$ $$+$$ $$q+q^{2}+q^{3}-q^{4}+q^{6}-3q^{8}+q^{9}+\cdots$$
3675.2.a.o $$1$$ $$29.345$$ $$\Q$$ None None $$2$$ $$-1$$ $$0$$ $$0$$ $$+$$ $$q+2q^{2}-q^{3}+2q^{4}-2q^{6}+q^{9}-6q^{11}+\cdots$$