## Results (1-50 of 100 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
3744.1.l.a $4$ $1.868$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-13})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{8}+\zeta_{8}^{3})q^{11}-q^{13}+(-\zeta_{8}+\cdots)q^{17}+\cdots$$
3744.1.l.b $4$ $1.868$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{8}-\zeta_{8}^{3})q^{5}+\zeta_{8}^{2}q^{13}+(\zeta_{8}+\zeta_{8}^{3}+\cdots)q^{17}+\cdots$$
3744.1.l.c $4$ $1.868$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-13})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{2}q^{7}+(-\zeta_{8}+\zeta_{8}^{3})q^{11}+q^{13}+\cdots$$
3744.1.o.a $1$ $1.868$ $$\Q$$ $$\Q(\sqrt{-26})$$ None $$0$$ $$0$$ $$-1$$ $$-1$$ $$q-q^{5}-q^{7}-q^{13}+q^{17}+2q^{31}+\cdots$$
3744.1.o.b $1$ $1.868$ $$\Q$$ $$\Q(\sqrt{-26})$$ None $$0$$ $$0$$ $$1$$ $$1$$ $$q+q^{5}+q^{7}+q^{13}+q^{17}-2q^{31}+\cdots$$
3744.1.o.c $4$ $1.868$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{8}+\zeta_{8}^{3})q^{5}+(-\zeta_{8}-\zeta_{8}^{3})q^{11}+\cdots$$
3744.1.bd.a $2$ $1.868$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+(-1-i)q^{5}-iq^{13}+iq^{25}-q^{29}+\cdots$$
3744.1.bd.b $2$ $1.868$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+(-1-i)q^{5}+iq^{13}+iq^{17}+iq^{25}+\cdots$$
3744.1.bd.c $2$ $1.868$ $$\Q(\sqrt{-1})$$ None $$\Q(\sqrt{3})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-1+i)q^{11}-q^{13}+iq^{23}-iq^{25}+\cdots$$
3744.1.bd.d $2$ $1.868$ $$\Q(\sqrt{-1})$$ None $$\Q(\sqrt{3})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+(1-i)q^{11}-q^{13}-iq^{23}-iq^{25}+\cdots$$
3744.1.bd.e $2$ $1.868$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+(1+i)q^{5}-iq^{13}+iq^{25}+q^{29}+\cdots$$
3744.1.bv.a $8$ $1.868$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{24}+\zeta_{24}^{11})q^{5}+\zeta_{24}^{2}q^{13}+(-\zeta_{24}^{3}+\cdots)q^{17}+\cdots$$
3744.1.cc.a $4$ $1.868$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q-\zeta_{12}^{3}q^{3}+\zeta_{12}^{2}q^{5}-q^{9}-\zeta_{12}^{5}q^{11}+\cdots$$
3744.1.ci.a $6$ $1.868$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-26})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{18}^{2}q^{3}+(\zeta_{18}^{4}+\zeta_{18}^{8})q^{5}+(\zeta_{18}^{7}+\cdots)q^{7}+\cdots$$
3744.1.ci.b $6$ $1.868$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-26})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{18}^{5}q^{3}+(\zeta_{18}-\zeta_{18}^{2})q^{5}+(\zeta_{18}^{2}+\cdots)q^{7}+\cdots$$
3744.1.ck.a $4$ $1.868$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{5}-\zeta_{12}^{4}q^{9}+\cdots$$
3744.1.dx.a $8$ $1.868$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{24}+\zeta_{24}^{11})q^{5}-\zeta_{24}^{2}q^{13}+\cdots$$
3744.1.dy.a $4$ $1.868$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{7}-\zeta_{12}^{5}q^{11}+q^{13}-\zeta_{12}^{4}q^{17}+\cdots$$
3744.1.eh.a $16$ $1.868$ $$\Q(\zeta_{32})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{32}^{3}q^{2}+\zeta_{32}^{6}q^{4}+(-\zeta_{32}-\zeta_{32}^{11}+\cdots)q^{5}+\cdots$$
3744.1.gs.a $4$ $1.868$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+(\zeta_{12}-\zeta_{12}^{2})q^{5}-\zeta_{12}q^{13}+(1-\zeta_{12}^{4}+\cdots)q^{17}+\cdots$$
3744.1.gs.b $4$ $1.868$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+(-\zeta_{12}+\zeta_{12}^{2})q^{5}-\zeta_{12}q^{13}+(-1+\cdots)q^{17}+\cdots$$
3744.1.gs.c $4$ $1.868$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+(-\zeta_{12}^{4}-\zeta_{12}^{5})q^{5}+\zeta_{12}q^{13}+\cdots$$
3744.2.a.a $1$ $29.896$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$-2$$ $-$ $$q-2q^{5}-2q^{7}-2q^{11}-q^{13}-6q^{17}+\cdots$$
3744.2.a.b $1$ $29.896$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $+$ $$q-2q^{5}-2q^{11}+q^{13}+4q^{19}-4q^{23}+\cdots$$
3744.2.a.c $1$ $29.896$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $-$ $$q-2q^{5}+2q^{11}+q^{13}-4q^{19}+4q^{23}+\cdots$$
3744.2.a.d $1$ $29.896$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$2$$ $+$ $$q-2q^{5}+2q^{7}+2q^{11}-q^{13}-6q^{17}+\cdots$$
3744.2.a.e $1$ $29.896$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$-3$$ $+$ $$q-q^{5}-3q^{7}+2q^{11}+q^{13}+3q^{17}+\cdots$$
3744.2.a.f $1$ $29.896$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$3$$ $-$ $$q-q^{5}+3q^{7}-2q^{11}+q^{13}+3q^{17}+\cdots$$
3744.2.a.g $1$ $29.896$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $+$ $$q-2q^{7}+q^{13}-2q^{17}+2q^{19}+8q^{23}+\cdots$$
3744.2.a.h $1$ $29.896$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $-$ $$q-2q^{7}+4q^{11}+q^{13}+6q^{17}-6q^{19}+\cdots$$
3744.2.a.i $1$ $29.896$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $-$ $$q+2q^{7}-4q^{11}+q^{13}+6q^{17}+6q^{19}+\cdots$$
3744.2.a.j $1$ $29.896$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $+$ $$q+2q^{7}+q^{13}-2q^{17}-2q^{19}-8q^{23}+\cdots$$
3744.2.a.k $1$ $29.896$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$-2$$ $+$ $$q+2q^{5}-2q^{7}-6q^{11}-q^{13}+2q^{17}+\cdots$$
3744.2.a.l $1$ $29.896$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $+$ $$q+2q^{5}-4q^{11}+q^{13}+6q^{17}-8q^{19}+\cdots$$
3744.2.a.m $1$ $29.896$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $+$ $$q+2q^{5}-2q^{11}+q^{13}-4q^{19}-4q^{23}+\cdots$$
3744.2.a.n $1$ $29.896$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $-$ $$q+2q^{5}+2q^{11}+q^{13}+4q^{19}+4q^{23}+\cdots$$
3744.2.a.o $1$ $29.896$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $-$ $$q+2q^{5}+4q^{11}+q^{13}+6q^{17}+8q^{19}+\cdots$$
3744.2.a.p $1$ $29.896$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$2$$ $-$ $$q+2q^{5}+2q^{7}+6q^{11}-q^{13}+2q^{17}+\cdots$$
3744.2.a.q $2$ $29.896$ $$\Q(\sqrt{5})$$ None None $$0$$ $$0$$ $$-6$$ $$0$$ $-$ $$q-3q^{5}-\beta q^{7}-2\beta q^{11}-q^{13}+3q^{17}+\cdots$$
3744.2.a.r $2$ $29.896$ $$\Q(\sqrt{5})$$ None None $$0$$ $$0$$ $$-2$$ $$-2$$ $+$ $$q+(-1-\beta )q^{5}+(-1-\beta )q^{7}+2q^{11}+\cdots$$
3744.2.a.s $2$ $29.896$ $$\Q(\sqrt{5})$$ None None $$0$$ $$0$$ $$-2$$ $$2$$ $+$ $$q+(-1-\beta )q^{5}+(1+\beta )q^{7}-2q^{11}+\cdots$$
3744.2.a.t $2$ $29.896$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q+\beta q^{7}-\beta q^{11}-q^{13}+\beta q^{19}-2\beta q^{23}+\cdots$$
3744.2.a.u $2$ $29.896$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+\beta q^{7}+\beta q^{11}-q^{13}+\beta q^{19}+2\beta q^{23}+\cdots$$
3744.2.a.v $2$ $29.896$ $$\Q(\sqrt{5})$$ None None $$0$$ $$0$$ $$2$$ $$-6$$ $-$ $$q+(1+\beta )q^{5}+(-3+\beta )q^{7}-2\beta q^{11}+\cdots$$
3744.2.a.w $2$ $29.896$ $$\Q(\sqrt{5})$$ None None $$0$$ $$0$$ $$2$$ $$6$$ $-$ $$q+(1+\beta )q^{5}+(3-\beta )q^{7}+2\beta q^{11}-q^{13}+\cdots$$
3744.2.a.x $2$ $29.896$ $$\Q(\sqrt{17})$$ None None $$0$$ $$0$$ $$3$$ $$-3$$ $+$ $$q+(1+\beta )q^{5}+(-1-\beta )q^{7}+2q^{11}+\cdots$$
3744.2.a.y $2$ $29.896$ $$\Q(\sqrt{17})$$ None None $$0$$ $$0$$ $$3$$ $$3$$ $-$ $$q+(1+\beta )q^{5}+(1+\beta )q^{7}-2q^{11}-q^{13}+\cdots$$
3744.2.a.z $3$ $29.896$ 3.3.148.1 None None $$0$$ $$0$$ $$-2$$ $$0$$ $+$ $$q+(-1-\beta _{1})q^{5}-\beta _{2}q^{7}+(-1+\beta _{1}+\cdots)q^{11}+\cdots$$
3744.2.a.ba $3$ $29.896$ 3.3.148.1 None None $$0$$ $$0$$ $$-2$$ $$0$$ $-$ $$q+(-1-\beta _{1})q^{5}+\beta _{2}q^{7}+(1-\beta _{1}-\beta _{2})q^{11}+\cdots$$
3744.2.a.bb $4$ $29.896$ $$\Q(\zeta_{20})^+$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $+$ $$q+(-1+\beta _{3})q^{5}-\beta _{2}q^{7}+(\beta _{1}+\beta _{2}+\cdots)q^{11}+\cdots$$