## Results (1-50 of 89 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1425.1.j.a $$2$$ $$0.711$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-95})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+(-1-i)q^{2}-iq^{3}+iq^{4}+(-1+\cdots)q^{6}+\cdots$$
1425.1.j.b $$2$$ $$0.711$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-95})$$ None $$-2$$ $$2$$ $$0$$ $$0$$ $$q+(-1-i)q^{2}+q^{3}+iq^{4}+(-1-i+\cdots)q^{6}+\cdots$$
1425.1.j.c $$2$$ $$0.711$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-95})$$ None $$2$$ $$-2$$ $$0$$ $$0$$ $$q+(1+i)q^{2}-q^{3}+iq^{4}+(-1-i+\cdots)q^{6}+\cdots$$
1425.1.j.d $$2$$ $$0.711$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-95})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+(1+i)q^{2}+iq^{3}+iq^{4}+(-1+i+\cdots)q^{6}+\cdots$$
1425.1.j.e $$4$$ $$0.711$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-95})$$ $$\Q(\sqrt{285})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{3}q^{3}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{2}q^{9}+\zeta_{8}q^{12}+\cdots$$
1425.1.j.f $$4$$ $$0.711$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-95})$$ $$\Q(\sqrt{57})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{3}q^{2}+\zeta_{8}q^{3}-3\zeta_{8}^{2}q^{4}+2q^{6}+\cdots$$
1425.1.j.g $$8$$ $$0.711$$ $$\Q(\zeta_{24})$$ None $$\Q(\sqrt{57})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{9}q^{2}-\zeta_{24}^{3}q^{3}-q^{6}+(-\zeta_{24}^{7}+\cdots)q^{7}+\cdots$$
1425.1.o.a $$4$$ $$0.711$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{4}-\zeta_{12}^{3}q^{7}+\cdots$$
1425.1.t.a $$2$$ $$0.711$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$1$$ $$0$$ $$2$$ $$q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+q^{7}-\zeta_{6}q^{9}-q^{12}+\cdots$$
1425.1.t.b $$4$$ $$0.711$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{6}+\cdots$$
1425.1.be.a $$8$$ $$0.711$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{7}q^{3}+\zeta_{24}^{2}q^{4}+(-\zeta_{24}-\zeta_{24}^{5}+\cdots)q^{7}+\cdots$$
1425.1.be.b $$8$$ $$0.711$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{7}q^{2}+\zeta_{24}q^{3}-\zeta_{24}^{8}q^{6}-\zeta_{24}^{9}q^{8}+\cdots$$
1425.1.bk.a $$6$$ $$0.711$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{18}^{5}q^{3}-\zeta_{18}^{7}q^{4}+(\zeta_{18}^{2}+\zeta_{18}^{4}+\cdots)q^{7}+\cdots$$
1425.1.bk.b $$6$$ $$0.711$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{18}^{5}q^{3}-\zeta_{18}^{7}q^{4}+(-\zeta_{18}^{2}-\zeta_{18}^{4}+\cdots)q^{7}+\cdots$$
1425.1.bk.c $$12$$ $$0.711$$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{36}^{3}-\zeta_{36}^{11})q^{2}-\zeta_{36}q^{3}+\cdots$$
1425.1.bm.a $$12$$ $$0.711$$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{36}^{7}q^{3}-\zeta_{36}^{8}q^{4}+(-\zeta_{36}+\zeta_{36}^{11}+\cdots)q^{7}+\cdots$$
1425.1.cd.a $$24$$ $$0.711$$ $$\Q(\zeta_{72})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{72}^{3}+\zeta_{72}^{35})q^{2}+\zeta_{72}^{13}q^{3}+\cdots$$
1425.1.cd.b $$24$$ $$0.711$$ $$\Q(\zeta_{72})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{72}^{31}q^{3}+\zeta_{72}^{2}q^{4}+(\zeta_{72}^{5}+\zeta_{72}^{25}+\cdots)q^{7}+\cdots$$
1425.2.a.a $$1$$ $$11.379$$ $$\Q$$ None None $$-1$$ $$-1$$ $$0$$ $$0$$ $$+$$ $$q-q^{2}-q^{3}-q^{4}+q^{6}+3q^{8}+q^{9}+\cdots$$
1425.2.a.b $$1$$ $$11.379$$ $$\Q$$ None None $$-1$$ $$-1$$ $$0$$ $$0$$ $$-$$ $$q-q^{2}-q^{3}-q^{4}+q^{6}+3q^{8}+q^{9}+\cdots$$
1425.2.a.c $$1$$ $$11.379$$ $$\Q$$ None None $$-1$$ $$1$$ $$0$$ $$-4$$ $$-$$ $$q-q^{2}+q^{3}-q^{4}-q^{6}-4q^{7}+3q^{8}+\cdots$$
1425.2.a.d $$1$$ $$11.379$$ $$\Q$$ None None $$-1$$ $$1$$ $$0$$ $$2$$ $$-$$ $$q-q^{2}+q^{3}-q^{4}-q^{6}+2q^{7}+3q^{8}+\cdots$$
1425.2.a.e $$1$$ $$11.379$$ $$\Q$$ None None $$-1$$ $$1$$ $$0$$ $$4$$ $$-$$ $$q-q^{2}+q^{3}-q^{4}-q^{6}+4q^{7}+3q^{8}+\cdots$$
1425.2.a.f $$1$$ $$11.379$$ $$\Q$$ None None $$1$$ $$-1$$ $$0$$ $$-4$$ $$-$$ $$q+q^{2}-q^{3}-q^{4}-q^{6}-4q^{7}-3q^{8}+\cdots$$
1425.2.a.g $$1$$ $$11.379$$ $$\Q$$ None None $$1$$ $$-1$$ $$0$$ $$2$$ $$-$$ $$q+q^{2}-q^{3}-q^{4}-q^{6}+2q^{7}-3q^{8}+\cdots$$
1425.2.a.h $$1$$ $$11.379$$ $$\Q$$ None None $$1$$ $$1$$ $$0$$ $$0$$ $$-$$ $$q+q^{2}+q^{3}-q^{4}+q^{6}-3q^{8}+q^{9}+\cdots$$
1425.2.a.i $$1$$ $$11.379$$ $$\Q$$ None None $$2$$ $$-1$$ $$0$$ $$-3$$ $$+$$ $$q+2q^{2}-q^{3}+2q^{4}-2q^{6}-3q^{7}+\cdots$$
1425.2.a.j $$1$$ $$11.379$$ $$\Q$$ None None $$2$$ $$1$$ $$0$$ $$5$$ $$-$$ $$q+2q^{2}+q^{3}+2q^{4}+2q^{6}+5q^{7}+\cdots$$
1425.2.a.k $$2$$ $$11.379$$ $$\Q(\sqrt{2})$$ None None $$-2$$ $$-2$$ $$0$$ $$0$$ $$+$$ $$q+(-1+\beta )q^{2}-q^{3}+(1-2\beta )q^{4}+(1+\cdots)q^{6}+\cdots$$
1425.2.a.l $$2$$ $$11.379$$ $$\Q(\sqrt{2})$$ None None $$-2$$ $$2$$ $$0$$ $$-4$$ $$+$$ $$q+(-1+\beta )q^{2}+q^{3}+(1-2\beta )q^{4}+(-1+\cdots)q^{6}+\cdots$$
1425.2.a.m $$2$$ $$11.379$$ $$\Q(\sqrt{5})$$ None None $$-1$$ $$-2$$ $$0$$ $$4$$ $$+$$ $$q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots$$
1425.2.a.n $$2$$ $$11.379$$ $$\Q(\sqrt{5})$$ None None $$-1$$ $$2$$ $$0$$ $$0$$ $$+$$ $$q-\beta q^{2}+q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots$$
1425.2.a.o $$2$$ $$11.379$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$-2$$ $$0$$ $$2$$ $$-$$ $$q+\beta q^{2}-q^{3}+q^{4}-\beta q^{6}+(1+\beta )q^{7}+\cdots$$
1425.2.a.p $$2$$ $$11.379$$ $$\Q(\sqrt{7})$$ None None $$0$$ $$2$$ $$0$$ $$2$$ $$-$$ $$q+\beta q^{2}+q^{3}+5q^{4}+\beta q^{6}+(1-\beta )q^{7}+\cdots$$
1425.2.a.q $$2$$ $$11.379$$ $$\Q(\sqrt{5})$$ None None $$1$$ $$-2$$ $$0$$ $$0$$ $$+$$ $$q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots$$
1425.2.a.r $$2$$ $$11.379$$ $$\Q(\sqrt{5})$$ None None $$1$$ $$2$$ $$0$$ $$-4$$ $$+$$ $$q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots$$
1425.2.a.s $$3$$ $$11.379$$ 3.3.148.1 None None $$-1$$ $$3$$ $$0$$ $$-8$$ $$+$$ $$q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots$$
1425.2.a.t $$3$$ $$11.379$$ 3.3.837.1 None None $$0$$ $$-3$$ $$0$$ $$0$$ $$-$$ $$q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots$$
1425.2.a.u $$3$$ $$11.379$$ 3.3.621.1 None None $$0$$ $$-3$$ $$0$$ $$0$$ $$-$$ $$q+\beta _{1}q^{2}-q^{3}+(2+\beta _{1}+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots$$
1425.2.a.v $$3$$ $$11.379$$ 3.3.621.1 None None $$0$$ $$3$$ $$0$$ $$0$$ $$-$$ $$q-\beta _{1}q^{2}+q^{3}+(2+\beta _{1}+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots$$
1425.2.a.w $$3$$ $$11.379$$ 3.3.837.1 None None $$0$$ $$3$$ $$0$$ $$0$$ $$-$$ $$q-\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots$$
1425.2.a.x $$3$$ $$11.379$$ 3.3.148.1 None None $$1$$ $$-3$$ $$0$$ $$8$$ $$-$$ $$q+\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots$$
1425.2.a.y $$7$$ $$11.379$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$-3$$ $$-7$$ $$0$$ $$-8$$ $$+$$ $$q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots$$
1425.2.a.z $$7$$ $$11.379$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$3$$ $$7$$ $$0$$ $$8$$ $$-$$ $$q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots$$
1425.2.c.a $$2$$ $$11.379$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{2}+iq^{3}-2q^{4}-2q^{6}-3iq^{7}+\cdots$$
1425.2.c.b $$2$$ $$11.379$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{2}-iq^{3}-2q^{4}+2q^{6}+5iq^{7}+\cdots$$
1425.2.c.c $$2$$ $$11.379$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}+iq^{3}+q^{4}-q^{6}+2iq^{7}+\cdots$$
1425.2.c.d $$2$$ $$11.379$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}+iq^{3}+q^{4}-q^{6}-2iq^{7}+\cdots$$
1425.2.c.e $$2$$ $$11.379$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}+iq^{3}+q^{4}-q^{6}-4iq^{7}+\cdots$$
1425.2.c.f $$2$$ $$11.379$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}+iq^{3}+q^{4}-q^{6}+4iq^{7}+\cdots$$