## Results (1-50 of 222 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1872.1.i.a $1$ $0.934$ $$\Q$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-13})$$ $$\Q(\sqrt{39})$$ $$0$$ $$0$$ $$0$$ $$-2$$ $$q-2q^{7}+q^{13}+2q^{19}+q^{25}+2q^{31}+\cdots$$
1872.1.i.b $1$ $0.934$ $$\Q$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-13})$$ $$\Q(\sqrt{13})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-q^{13}+2q^{17}+q^{25}+2q^{29}-q^{49}+\cdots$$
1872.1.i.c $1$ $0.934$ $$\Q$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-13})$$ $$\Q(\sqrt{39})$$ $$0$$ $$0$$ $$0$$ $$2$$ $$q+2q^{7}+q^{13}-2q^{19}+q^{25}-2q^{31}+\cdots$$
1872.1.bb.a $8$ $0.934$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{16}^{5}q^{2}-\zeta_{16}^{2}q^{4}+(\zeta_{16}^{5}+\zeta_{16}^{7}+\cdots)q^{5}+\cdots$$
1872.1.bd.a $2$ $0.934$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q+(1-i)q^{7}+iq^{13}+(1+i)q^{19}-iq^{25}+\cdots$$
1872.1.bg.a $4$ $0.934$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{3}q^{5}-q^{13}+(\zeta_{8}-\zeta_{8}^{3})q^{17}+\cdots$$
1872.1.bs.a $2$ $0.934$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$q+\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{13}+\zeta_{6}^{2}q^{19}+q^{25}+\cdots$$
1872.1.bs.b $2$ $0.934$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{6}+\zeta_{6}^{2})q^{5}+\zeta_{6}q^{13}-\zeta_{6}^{2}q^{17}+\cdots$$
1872.1.bs.c $2$ $0.934$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q-\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{13}-\zeta_{6}^{2}q^{19}+q^{25}+\cdots$$
1872.1.bv.a $4$ $0.934$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$q+\beta _{3}q^{5}+(1-\beta _{2})q^{7}+(\beta _{1}-\beta _{3})q^{11}+\cdots$$
1872.1.cm.a $2$ $0.934$ $$\Q(\sqrt{-3})$$ None $$\Q(\sqrt{13})$$ $$0$$ $$-1$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{3}+\zeta_{6}^{2}q^{9}+\zeta_{6}q^{13}+(-\zeta_{6}+\cdots)q^{17}+\cdots$$
1872.1.dc.a $2$ $0.934$ $$\Q(\sqrt{-3})$$ None $$\Q(\sqrt{13})$$ $$0$$ $$-1$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{13}+q^{17}+\cdots$$
1872.1.dc.b $2$ $0.934$ $$\Q(\sqrt{-3})$$ None $$\Q(\sqrt{13})$$ $$0$$ $$1$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{13}+q^{17}+\cdots$$
1872.1.dy.a $2$ $0.934$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-3$$ $$q+(-1-\zeta_{6})q^{7}-\zeta_{6}^{2}q^{13}-q^{25}+\cdots$$
1872.1.dy.b $2$ $0.934$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$3$$ $$q+(1+\zeta_{6})q^{7}-\zeta_{6}^{2}q^{13}-q^{25}+(\zeta_{6}+\cdots)q^{31}+\cdots$$
1872.1.dy.c $4$ $0.934$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{12}-\zeta_{12}^{5})q^{5}-\zeta_{12}^{4}q^{13}+(-\zeta_{12}+\cdots)q^{17}+\cdots$$
1872.1.fi.a $4$ $0.934$ $$\Q(\zeta_{12})$$ None None $$0$$ $$-2$$ $$2$$ $$0$$ $$q-\zeta_{12}^{2}q^{3}+(\zeta_{12}^{2}-\zeta_{12}^{5})q^{5}+\zeta_{12}^{4}q^{9}+\cdots$$
1872.1.fi.b $4$ $0.934$ $$\Q(\zeta_{12})$$ None None $$0$$ $$2$$ $$0$$ $$2$$ $$q+\zeta_{12}^{2}q^{3}+(\zeta_{12}-\zeta_{12}^{4})q^{7}+\zeta_{12}^{4}q^{9}+\cdots$$
1872.1.fr.a $8$ $0.934$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{3}q^{5}-\zeta_{24}^{8}q^{13}+(\zeta_{24}^{9}-\zeta_{24}^{11}+\cdots)q^{17}+\cdots$$
1872.1.gc.a $4$ $0.934$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+(-\zeta_{12}^{2}-\zeta_{12}^{3})q^{7}-\zeta_{12}q^{13}+\cdots$$
1872.2.a.a $1$ $14.948$ $$\Q$$ None None $$0$$ $$0$$ $$-4$$ $$-4$$ $-$ $$q-4q^{5}-4q^{7}-4q^{11}-q^{13}-8q^{23}+\cdots$$
1872.2.a.b $1$ $14.948$ $$\Q$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $-$ $$q-4q^{5}-2q^{11}-q^{13}-2q^{17}-8q^{19}+\cdots$$
1872.2.a.c $1$ $14.948$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$-4$$ $-$ $$q-2q^{5}-4q^{7}-4q^{11}+q^{13}-2q^{17}+\cdots$$
1872.2.a.d $1$ $14.948$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$-2$$ $+$ $$q-2q^{5}-2q^{7}+4q^{11}-q^{13}+2q^{19}+\cdots$$
1872.2.a.e $1$ $14.948$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $+$ $$q-2q^{5}+q^{13}-2q^{17}+4q^{19}-q^{25}+\cdots$$
1872.2.a.f $1$ $14.948$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$2$$ $+$ $$q-2q^{5}+2q^{7}-2q^{11}-q^{13}-6q^{17}+\cdots$$
1872.2.a.g $1$ $14.948$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$2$$ $-$ $$q-2q^{5}+2q^{7}+4q^{11}-q^{13}+6q^{19}+\cdots$$
1872.2.a.h $1$ $14.948$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$4$$ $-$ $$q-2q^{5}+4q^{7}+4q^{11}+q^{13}-2q^{17}+\cdots$$
1872.2.a.i $1$ $14.948$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $-$ $$q-2q^{7}+q^{13}+6q^{17}-2q^{19}-5q^{25}+\cdots$$
1872.2.a.j $1$ $14.948$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+6q^{11}-q^{13}-2q^{17}+4q^{23}-5q^{25}+\cdots$$
1872.2.a.k $1$ $14.948$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $-$ $$q+4q^{7}-2q^{11}-q^{13}+6q^{17}+4q^{19}+\cdots$$
1872.2.a.l $1$ $14.948$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-5$$ $-$ $$q+q^{5}-5q^{7}-2q^{11}-q^{13}+3q^{17}+\cdots$$
1872.2.a.m $1$ $14.948$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-1$$ $+$ $$q+q^{5}-q^{7}-2q^{11}-q^{13}+3q^{17}+\cdots$$
1872.2.a.n $1$ $14.948$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$-4$$ $+$ $$q+2q^{5}-4q^{7}+q^{13}-2q^{17}-8q^{19}+\cdots$$
1872.2.a.o $1$ $14.948$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$-2$$ $+$ $$q+2q^{5}-2q^{7}-4q^{11}-q^{13}+2q^{19}+\cdots$$
1872.2.a.p $1$ $14.948$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$2$$ $-$ $$q+2q^{5}+2q^{7}-4q^{11}-q^{13}+6q^{19}+\cdots$$
1872.2.a.q $1$ $14.948$ $$\Q$$ None None $$0$$ $$0$$ $$3$$ $$1$$ $-$ $$q+3q^{5}+q^{7}+6q^{11}+q^{13}+3q^{17}+\cdots$$
1872.2.a.r $1$ $14.948$ $$\Q$$ None None $$0$$ $$0$$ $$4$$ $$-4$$ $-$ $$q+4q^{5}-4q^{7}+4q^{11}-q^{13}+8q^{23}+\cdots$$
1872.2.a.s $1$ $14.948$ $$\Q$$ None None $$0$$ $$0$$ $$4$$ $$2$$ $-$ $$q+4q^{5}+2q^{7}-4q^{11}+q^{13}-2q^{17}+\cdots$$
1872.2.a.t $1$ $14.948$ $$\Q$$ None None $$0$$ $$0$$ $$4$$ $$4$$ $-$ $$q+4q^{5}+4q^{7}-2q^{11}-q^{13}+6q^{17}+\cdots$$
1872.2.a.u $2$ $14.948$ $$\Q(\sqrt{17})$$ None None $$0$$ $$0$$ $$-3$$ $$1$$ $+$ $$q+(-1-\beta )q^{5}+(1-\beta )q^{7}+(-2+2\beta )q^{11}+\cdots$$
1872.2.a.v $2$ $14.948$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $+$ $$q-2q^{7}-\beta q^{11}+q^{13}+2\beta q^{17}-2q^{19}+\cdots$$
1872.2.a.w $2$ $14.948$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q+\beta q^{5}-\beta q^{7}-2q^{11}-q^{13}+(-2+\cdots)q^{17}+\cdots$$
1872.2.a.x $2$ $14.948$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $-$ $$q+\beta q^{5}+(2-\beta )q^{7}+(-2+\beta )q^{11}+\cdots$$
1872.2.a.y $2$ $14.948$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $-$ $$q+\beta q^{5}+(2+\beta )q^{7}+(2+\beta )q^{11}+q^{13}+\cdots$$
1872.2.c.a $2$ $14.948$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{5}+iq^{7}-2iq^{11}+(-3+i)q^{13}+\cdots$$
1872.2.c.b $2$ $14.948$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{5}-iq^{7}+(-3+i)q^{13}+2q^{17}+\cdots$$
1872.2.c.c $2$ $14.948$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{5}+\zeta_{6}q^{11}+(-1+\zeta_{6})q^{13}+\cdots$$
1872.2.c.d $2$ $14.948$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{6}q^{7}+(-1-\zeta_{6})q^{13}+\zeta_{6}q^{19}+\cdots$$
1872.2.c.e $2$ $14.948$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{7}+\zeta_{6}q^{11}+(-1-\zeta_{6})q^{13}+\cdots$$