## Results (1-50 of 121 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
3120.1.be.a $1$ $1.557$ $$\Q$$ $$\Q(\sqrt{-195})$$ None $$0$$ $$-1$$ $$-1$$ $$-1$$ $$q-q^{3}-q^{5}-q^{7}+q^{9}-q^{11}-q^{13}+\cdots$$
3120.1.be.b $1$ $1.557$ $$\Q$$ $$\Q(\sqrt{-195})$$ None $$0$$ $$-1$$ $$1$$ $$1$$ $$q-q^{3}+q^{5}+q^{7}+q^{9}+q^{11}+q^{13}+\cdots$$
3120.1.be.c $1$ $1.557$ $$\Q$$ $$\Q(\sqrt{-195})$$ None $$0$$ $$1$$ $$-1$$ $$1$$ $$q+q^{3}-q^{5}+q^{7}+q^{9}-q^{11}+q^{13}+\cdots$$
3120.1.be.d $1$ $1.557$ $$\Q$$ $$\Q(\sqrt{-195})$$ None $$0$$ $$1$$ $$1$$ $$-1$$ $$q+q^{3}+q^{5}-q^{7}+q^{9}+q^{11}-q^{13}+\cdots$$
3120.1.be.e $4$ $1.557$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{2}q^{3}+\zeta_{8}^{3}q^{5}-q^{9}+(-\zeta_{8}+\zeta_{8}^{3}+\cdots)q^{11}+\cdots$$
3120.1.bu.a $4$ $1.557$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{3}q^{3}-\zeta_{8}^{3}q^{5}+\zeta_{8}^{2}q^{7}-\zeta_{8}^{2}q^{9}+\cdots$$
3120.1.bx.a $8$ $1.557$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{16}^{3}q^{2}+\zeta_{16}^{2}q^{3}+\zeta_{16}^{6}q^{4}+\cdots$$
3120.1.bx.b $8$ $1.557$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{16}^{3}q^{2}-\zeta_{16}^{2}q^{3}+\zeta_{16}^{6}q^{4}+\cdots$$
3120.1.dl.a $2$ $1.557$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-39})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+iq^{3}+q^{4}-iq^{5}-iq^{6}-q^{8}+\cdots$$
3120.1.dl.b $2$ $1.557$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+iq^{2}-iq^{3}-q^{4}-q^{5}+q^{6}-iq^{8}+\cdots$$
3120.1.dl.c $2$ $1.557$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q-iq^{2}-iq^{3}-q^{4}+q^{5}-q^{6}+iq^{8}+\cdots$$
3120.1.dl.d $2$ $1.557$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-39})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+iq^{3}+q^{4}+iq^{5}+iq^{6}+q^{8}+\cdots$$
3120.1.dl.e $4$ $1.557$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{3}+\zeta_{8}^{2}q^{4}+\zeta_{8}q^{5}+\cdots$$
3120.1.dl.f $4$ $1.557$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{3}-\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{5}+\cdots$$
3120.1.dq.a $2$ $1.557$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-39})$$ None $$-2$$ $$-2$$ $$0$$ $$0$$ $$q-q^{2}-q^{3}+q^{4}+iq^{5}+q^{6}-q^{8}+\cdots$$
3120.1.dq.b $2$ $1.557$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$2$$ $$-2$$ $$0$$ $$q+iq^{2}+q^{3}-q^{4}-q^{5}+iq^{6}-iq^{8}+\cdots$$
3120.1.dq.c $2$ $1.557$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$2$$ $$2$$ $$0$$ $$q-iq^{2}+q^{3}-q^{4}+q^{5}-iq^{6}+iq^{8}+\cdots$$
3120.1.dq.d $2$ $1.557$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-39})$$ None $$2$$ $$-2$$ $$0$$ $$0$$ $$q+q^{2}-q^{3}+q^{4}-iq^{5}-q^{6}+q^{8}+\cdots$$
3120.1.dq.e $4$ $1.557$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$-4$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{2}-q^{3}+\zeta_{8}^{2}q^{4}+\zeta_{8}^{3}q^{5}+\cdots$$
3120.1.dq.f $4$ $1.557$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$4$$ $$0$$ $$0$$ $$q-\zeta_{8}^{3}q^{2}+q^{3}-\zeta_{8}^{2}q^{4}-\zeta_{8}q^{5}+\cdots$$
3120.1.ff.a $4$ $1.557$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q-\zeta_{8}q^{3}-\zeta_{8}^{3}q^{5}-q^{7}+\zeta_{8}^{2}q^{9}+\cdots$$
3120.1.iq.a $8$ $1.557$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $$q-\zeta_{24}q^{2}-\zeta_{24}^{10}q^{3}+\zeta_{24}^{2}q^{4}+\cdots$$
3120.1.iv.a $8$ $1.557$ $$\Q(\zeta_{24})$$ None None $$0$$ $$-4$$ $$0$$ $$4$$ $$q-\zeta_{24}q^{2}-\zeta_{24}^{4}q^{3}+\zeta_{24}^{2}q^{4}-\zeta_{24}^{9}q^{5}+\cdots$$
3120.2.a.a $1$ $24.913$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$-4$$ $-$ $$q-q^{3}-q^{5}-4q^{7}+q^{9}-q^{13}+q^{15}+\cdots$$
3120.2.a.b $1$ $24.913$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$-2$$ $+$ $$q-q^{3}-q^{5}-2q^{7}+q^{9}+q^{13}+q^{15}+\cdots$$
3120.2.a.c $1$ $24.913$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$0$$ $+$ $$q-q^{3}-q^{5}+q^{9}-q^{13}+q^{15}+2q^{17}+\cdots$$
3120.2.a.d $1$ $24.913$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$1$$ $-$ $$q-q^{3}-q^{5}+q^{7}+q^{9}-5q^{11}-q^{13}+\cdots$$
3120.2.a.e $1$ $24.913$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$1$$ $+$ $$q-q^{3}-q^{5}+q^{7}+q^{9}-3q^{11}+q^{13}+\cdots$$
3120.2.a.f $1$ $24.913$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$1$$ $-$ $$q-q^{3}-q^{5}+q^{7}+q^{9}+5q^{11}+q^{13}+\cdots$$
3120.2.a.g $1$ $24.913$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$2$$ $-$ $$q-q^{3}-q^{5}+2q^{7}+q^{9}+6q^{11}-q^{13}+\cdots$$
3120.2.a.h $1$ $24.913$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$4$$ $-$ $$q-q^{3}-q^{5}+4q^{7}+q^{9}-4q^{11}+q^{13}+\cdots$$
3120.2.a.i $1$ $24.913$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$-4$$ $+$ $$q-q^{3}+q^{5}-4q^{7}+q^{9}+q^{13}-q^{15}+\cdots$$
3120.2.a.j $1$ $24.913$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$-2$$ $-$ $$q-q^{3}+q^{5}-2q^{7}+q^{9}+q^{13}-q^{15}+\cdots$$
3120.2.a.k $1$ $24.913$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$0$$ $-$ $$q-q^{3}+q^{5}+q^{9}-4q^{11}+q^{13}-q^{15}+\cdots$$
3120.2.a.l $1$ $24.913$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$2$$ $+$ $$q-q^{3}+q^{5}+2q^{7}+q^{9}+q^{13}-q^{15}+\cdots$$
3120.2.a.m $1$ $24.913$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$3$$ $-$ $$q-q^{3}+q^{5}+3q^{7}+q^{9}+3q^{11}-q^{13}+\cdots$$
3120.2.a.n $1$ $24.913$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$3$$ $-$ $$q-q^{3}+q^{5}+3q^{7}+q^{9}+5q^{11}+q^{13}+\cdots$$
3120.2.a.o $1$ $24.913$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$-2$$ $+$ $$q+q^{3}-q^{5}-2q^{7}+q^{9}-4q^{11}-q^{13}+\cdots$$
3120.2.a.p $1$ $24.913$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$0$$ $+$ $$q+q^{3}-q^{5}+q^{9}-4q^{11}+q^{13}-q^{15}+\cdots$$
3120.2.a.q $1$ $24.913$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$0$$ $+$ $$q+q^{3}-q^{5}+q^{9}-q^{13}-q^{15}-6q^{17}+\cdots$$
3120.2.a.r $1$ $24.913$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$0$$ $+$ $$q+q^{3}-q^{5}+q^{9}+q^{13}-q^{15}-6q^{17}+\cdots$$
3120.2.a.s $1$ $24.913$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$-4$$ $-$ $$q+q^{3}+q^{5}-4q^{7}+q^{9}-4q^{11}+q^{13}+\cdots$$
3120.2.a.t $1$ $24.913$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$-3$$ $+$ $$q+q^{3}+q^{5}-3q^{7}+q^{9}-q^{11}+q^{13}+\cdots$$
3120.2.a.u $1$ $24.913$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$-3$$ $-$ $$q+q^{3}+q^{5}-3q^{7}+q^{9}+q^{11}-q^{13}+\cdots$$
3120.2.a.v $1$ $24.913$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$-2$$ $+$ $$q+q^{3}+q^{5}-2q^{7}+q^{9}-4q^{11}-q^{13}+\cdots$$
3120.2.a.w $1$ $24.913$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$0$$ $+$ $$q+q^{3}+q^{5}+q^{9}-4q^{11}+q^{13}+q^{15}+\cdots$$
3120.2.a.x $1$ $24.913$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$0$$ $-$ $$q+q^{3}+q^{5}+q^{9}+4q^{11}+q^{13}+q^{15}+\cdots$$
3120.2.a.y $1$ $24.913$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$2$$ $-$ $$q+q^{3}+q^{5}+2q^{7}+q^{9}-4q^{11}-q^{13}+\cdots$$
3120.2.a.z $1$ $24.913$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$2$$ $-$ $$q+q^{3}+q^{5}+2q^{7}+q^{9}+2q^{11}-q^{13}+\cdots$$
3120.2.a.ba $1$ $24.913$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$5$$ $-$ $$q+q^{3}+q^{5}+5q^{7}+q^{9}-q^{11}+q^{13}+\cdots$$