## Results (1-50 of 84 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
3920.1.j.a $1$ $1.956$ $$\Q$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-5})$$ $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$1$$ $$0$$ $$q+q^{5}-q^{9}+q^{25}+2q^{29}+2q^{41}+\cdots$$
3920.1.j.b $2$ $1.956$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-\beta q^{3}-q^{5}+2q^{9}+\beta q^{15}-\beta q^{23}+\cdots$$
3920.1.j.c $2$ $1.956$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-35})$$ $$\Q(\sqrt{35})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{5}-q^{9}+iq^{13}+iq^{17}-q^{25}+\cdots$$
3920.1.j.d $2$ $1.956$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q-\beta q^{3}+q^{5}+2q^{9}-\beta q^{15}+\beta q^{23}+\cdots$$
3920.1.j.e $4$ $1.956$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{12}+\zeta_{12}^{5})q^{3}-\zeta_{12}^{3}q^{5}+(1+\cdots)q^{9}+\cdots$$
3920.1.v.a $8$ $1.956$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{16}^{5}q^{5}-\zeta_{16}^{4}q^{9}+(\zeta_{16}^{5}+\zeta_{16}^{7}+\cdots)q^{13}+\cdots$$
3920.1.bh.a $4$ $1.956$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}q^{3}-\zeta_{8}q^{5}-q^{11}+\zeta_{8}q^{13}+\cdots$$
3920.1.bh.b $4$ $1.956$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{3}-\zeta_{8}^{3}q^{5}+q^{11}+\zeta_{8}q^{13}+\cdots$$
3920.1.br.a $2$ $1.956$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$-1$$ $$-1$$ $$0$$ $$q-\zeta_{6}q^{3}+\zeta_{6}^{2}q^{5}-\zeta_{6}q^{11}-q^{13}+\cdots$$
3920.1.br.b $2$ $1.956$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$1$$ $$1$$ $$0$$ $$q+\zeta_{6}q^{3}-\zeta_{6}^{2}q^{5}-\zeta_{6}q^{11}+q^{13}+\cdots$$
3920.1.bt.a $2$ $1.956$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-5})$$ $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$-1$$ $$0$$ $$q-\zeta_{6}q^{5}+\zeta_{6}q^{9}+\zeta_{6}^{2}q^{25}+q^{29}+\cdots$$
3920.1.bt.b $2$ $1.956$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-5})$$ $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$1$$ $$0$$ $$q+\zeta_{6}q^{5}+\zeta_{6}q^{9}+\zeta_{6}^{2}q^{25}+q^{29}+\cdots$$
3920.1.bt.c $4$ $1.956$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+(\zeta_{12}+\zeta_{12}^{3})q^{3}+\zeta_{12}^{4}q^{5}+(-1+\cdots)q^{9}+\cdots$$
3920.1.bt.d $4$ $1.956$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{12}+\zeta_{12}^{3})q^{3}+\zeta_{12}q^{5}+(-1+\cdots)q^{9}+\cdots$$
3920.1.bt.e $4$ $1.956$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{12}-\zeta_{12}^{3})q^{3}+\zeta_{12}q^{5}+(-1+\cdots)q^{9}+\cdots$$
3920.1.bt.f $4$ $1.956$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-35})$$ $$\Q(\sqrt{35})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{5}-\zeta_{12}^{4}q^{9}-\zeta_{12}^{3}q^{13}+\cdots$$
3920.1.cl.a $8$ $1.956$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{7}q^{3}+\zeta_{24}^{5}q^{5}-\zeta_{24}^{4}q^{11}+\cdots$$
3920.1.cl.b $8$ $1.956$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{7}q^{3}+\zeta_{24}^{11}q^{5}+\zeta_{24}^{4}q^{11}+\cdots$$
3920.1.cx.a $16$ $1.956$ $$\Q(\zeta_{48})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{48}^{5}q^{5}-\zeta_{48}^{20}q^{9}+(-\zeta_{48}^{15}+\cdots)q^{13}+\cdots$$
3920.1.di.a $12$ $1.956$ $$\Q(\zeta_{28})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+(-\zeta_{28}^{7}+\zeta_{28}^{11})q^{3}+\zeta_{28}^{2}q^{5}+\cdots$$
3920.1.fc.a $24$ $1.956$ $$\Q(\zeta_{84})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+(-\zeta_{84}^{15}+\zeta_{84}^{35})q^{3}-\zeta_{84}^{32}q^{5}+\cdots$$
3920.2.a.a $1$ $31.301$ $$\Q$$ None None $$0$$ $$-3$$ $$-1$$ $$0$$ $+$ $$q-3q^{3}-q^{5}+6q^{9}-q^{11}+3q^{13}+\cdots$$
3920.2.a.b $1$ $31.301$ $$\Q$$ None None $$0$$ $$-3$$ $$-1$$ $$0$$ $-$ $$q-3q^{3}-q^{5}+6q^{9}+2q^{11}+3q^{15}+\cdots$$
3920.2.a.c $1$ $31.301$ $$\Q$$ None None $$0$$ $$-3$$ $$-1$$ $$0$$ $-$ $$q-3q^{3}-q^{5}+6q^{9}+5q^{11}+5q^{13}+\cdots$$
3920.2.a.d $1$ $31.301$ $$\Q$$ None None $$0$$ $$-3$$ $$1$$ $$0$$ $-$ $$q-3q^{3}+q^{5}+6q^{9}+2q^{11}+6q^{13}+\cdots$$
3920.2.a.e $1$ $31.301$ $$\Q$$ None None $$0$$ $$-2$$ $$-1$$ $$0$$ $+$ $$q-2q^{3}-q^{5}+q^{9}-3q^{11}+q^{13}+\cdots$$
3920.2.a.f $1$ $31.301$ $$\Q$$ None None $$0$$ $$-2$$ $$1$$ $$0$$ $+$ $$q-2q^{3}+q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots$$
3920.2.a.g $1$ $31.301$ $$\Q$$ None None $$0$$ $$-2$$ $$1$$ $$0$$ $-$ $$q-2q^{3}+q^{5}+q^{9}-3q^{11}-5q^{13}+\cdots$$
3920.2.a.h $1$ $31.301$ $$\Q$$ None None $$0$$ $$-2$$ $$1$$ $$0$$ $-$ $$q-2q^{3}+q^{5}+q^{9}-2q^{13}-2q^{15}+\cdots$$
3920.2.a.i $1$ $31.301$ $$\Q$$ None None $$0$$ $$-2$$ $$1$$ $$0$$ $+$ $$q-2q^{3}+q^{5}+q^{9}+q^{11}+3q^{13}+\cdots$$
3920.2.a.j $1$ $31.301$ $$\Q$$ None None $$0$$ $$-2$$ $$1$$ $$0$$ $-$ $$q-2q^{3}+q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots$$
3920.2.a.k $1$ $31.301$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$0$$ $-$ $$q-q^{3}-q^{5}-2q^{9}-6q^{11}+2q^{13}+\cdots$$
3920.2.a.l $1$ $31.301$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$0$$ $-$ $$q-q^{3}-q^{5}-2q^{9}-3q^{11}-q^{13}+\cdots$$
3920.2.a.m $1$ $31.301$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$0$$ $+$ $$q-q^{3}-q^{5}-2q^{9}-2q^{11}+q^{15}+\cdots$$
3920.2.a.n $1$ $31.301$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$0$$ $+$ $$q-q^{3}-q^{5}-2q^{9}+q^{11}-5q^{13}+\cdots$$
3920.2.a.o $1$ $31.301$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$0$$ $-$ $$q-q^{3}-q^{5}-2q^{9}+5q^{11}+7q^{13}+\cdots$$
3920.2.a.p $1$ $31.301$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$0$$ $-$ $$q-q^{3}-q^{5}-2q^{9}+6q^{11}-4q^{13}+\cdots$$
3920.2.a.q $1$ $31.301$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$0$$ $+$ $$q-q^{3}+q^{5}-2q^{9}+2q^{11}-4q^{13}+\cdots$$
3920.2.a.r $1$ $31.301$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$0$$ $+$ $$q-q^{3}+q^{5}-2q^{9}+5q^{11}-q^{13}+\cdots$$
3920.2.a.s $1$ $31.301$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$0$$ $-$ $$q-q^{5}-3q^{9}-4q^{11}+2q^{13}-2q^{17}+\cdots$$
3920.2.a.t $1$ $31.301$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$0$$ $-$ $$q+q^{5}-3q^{9}-4q^{11}+6q^{13}-2q^{17}+\cdots$$
3920.2.a.u $1$ $31.301$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$0$$ $+$ $$q+q^{3}-q^{5}-2q^{9}-3q^{11}+q^{13}+\cdots$$
3920.2.a.v $1$ $31.301$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$0$$ $+$ $$q+q^{3}-q^{5}-2q^{9}+2q^{11}+4q^{13}+\cdots$$
3920.2.a.w $1$ $31.301$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$0$$ $-$ $$q+q^{3}+q^{5}-2q^{9}-6q^{11}-2q^{13}+\cdots$$
3920.2.a.x $1$ $31.301$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$0$$ $+$ $$q+q^{3}+q^{5}-2q^{9}-3q^{11}+q^{13}+\cdots$$
3920.2.a.y $1$ $31.301$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$0$$ $+$ $$q+q^{3}+q^{5}-2q^{9}-2q^{11}+q^{15}+\cdots$$
3920.2.a.z $1$ $31.301$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$0$$ $-$ $$q+q^{3}+q^{5}-2q^{9}+q^{11}+5q^{13}+\cdots$$
3920.2.a.ba $1$ $31.301$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$0$$ $-$ $$q+q^{3}+q^{5}-2q^{9}+3q^{11}-5q^{13}+\cdots$$
3920.2.a.bb $1$ $31.301$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$0$$ $+$ $$q+q^{3}+q^{5}-2q^{9}+5q^{11}-7q^{13}+\cdots$$
3920.2.a.bc $1$ $31.301$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$0$$ $-$ $$q+q^{3}+q^{5}-2q^{9}+6q^{11}+4q^{13}+\cdots$$