## Results (1-50 of 57 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2960.1.o.a $4$ $1.477$ $$\Q(\zeta_{16})^+$$ $$\Q(\sqrt{-185})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q-\beta _{1}q^{3}-q^{5}+\beta _{3}q^{7}+(1+\beta _{2})q^{9}+\cdots$$
2960.1.o.b $4$ $1.477$ $$\Q(\zeta_{16})^+$$ $$\Q(\sqrt{-185})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q-\beta _{1}q^{3}+q^{5}+\beta _{3}q^{7}+(1+\beta _{2})q^{9}+\cdots$$
2960.1.bu.a $2$ $1.477$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+q^{5}-iq^{9}+iq^{13}+q^{25}+(1+i+\cdots)q^{29}+\cdots$$
2960.1.bz.a $2$ $1.477$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{5}-iq^{9}+q^{13}-q^{25}+(-1+\cdots)q^{29}+\cdots$$
2960.1.cj.a $2$ $1.477$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-q^{3}+iq^{5}-iq^{7}+iq^{11}-iq^{15}+\cdots$$
2960.1.cj.b $2$ $1.477$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$2$$ $$2$$ $$0$$ $$q+q^{3}+q^{5}+iq^{7}+iq^{11}+q^{15}+\cdots$$
2960.1.cw.a $2$ $1.477$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-q^{5}-\zeta_{6}^{2}q^{9}+(-1-\zeta_{6})q^{17}+q^{25}+\cdots$$
2960.1.cw.b $2$ $1.477$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$1$$ $$0$$ $$q-\zeta_{6}^{2}q^{5}-\zeta_{6}^{2}q^{9}+(1+\zeta_{6})q^{17}+\cdots$$
2960.1.dn.a $4$ $1.477$ $$\Q(\zeta_{12})$$ None None $$2$$ $$2$$ $$2$$ $$2$$ $$q+\zeta_{12}^{2}q^{2}-\zeta_{12}^{4}q^{3}+\zeta_{12}^{4}q^{4}+\cdots$$
2960.1.eo.a $4$ $1.477$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{3}q^{5}-\zeta_{12}q^{9}-\zeta_{12}^{2}q^{13}+\cdots$$
2960.1.et.a $4$ $1.477$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-\zeta_{12}^{2}q^{5}-\zeta_{12}^{5}q^{9}+\zeta_{12}q^{13}+\cdots$$
2960.1.ez.a $8$ $1.477$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{7}q^{2}+\zeta_{24}^{5}q^{3}-\zeta_{24}^{2}q^{4}+\cdots$$
2960.1.fm.a $4$ $1.477$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+\zeta_{12}q^{2}-\zeta_{12}^{5}q^{3}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{5}q^{5}+\cdots$$
2960.1.fx.a $6$ $1.477$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{18}^{4}q^{5}+\zeta_{18}^{7}q^{9}+(\zeta_{18}^{5}+\zeta_{18}^{8}+\cdots)q^{13}+\cdots$$
2960.1.fx.b $6$ $1.477$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$3$$ $$0$$ $$q-\zeta_{18}^{6}q^{5}+\zeta_{18}^{7}q^{9}+(-\zeta_{18}^{5}-\zeta_{18}^{8}+\cdots)q^{13}+\cdots$$
2960.1.gf.a $12$ $1.477$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{36}^{2}q^{5}-\zeta_{36}^{17}q^{9}-\zeta_{36}q^{13}+\cdots$$
2960.1.go.a $12$ $1.477$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{36}^{3}q^{5}-\zeta_{36}^{11}q^{9}-\zeta_{36}^{16}q^{13}+\cdots$$
2960.2.a.a $1$ $23.636$ $$\Q$$ None None $$0$$ $$-3$$ $$-1$$ $$3$$ $-$ $$q-3q^{3}-q^{5}+3q^{7}+6q^{9}-5q^{11}+\cdots$$
2960.2.a.b $1$ $23.636$ $$\Q$$ None None $$0$$ $$-2$$ $$1$$ $$-3$$ $+$ $$q-2q^{3}+q^{5}-3q^{7}+q^{9}-3q^{11}+\cdots$$
2960.2.a.c $1$ $23.636$ $$\Q$$ None None $$0$$ $$-2$$ $$1$$ $$-1$$ $+$ $$q-2q^{3}+q^{5}-q^{7}+q^{9}-3q^{11}-2q^{15}+\cdots$$
2960.2.a.d $1$ $23.636$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$1$$ $+$ $$q-q^{3}-q^{5}+q^{7}-2q^{9}+3q^{11}-4q^{13}+\cdots$$
2960.2.a.e $1$ $23.636$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$5$$ $-$ $$q-q^{3}-q^{5}+5q^{7}-2q^{9}-3q^{11}+\cdots$$
2960.2.a.f $1$ $23.636$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$1$$ $+$ $$q-q^{3}+q^{5}+q^{7}-2q^{9}+3q^{11}-q^{15}+\cdots$$
2960.2.a.g $1$ $23.636$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$0$$ $-$ $$q-q^{5}-3q^{9}+4q^{11}+2q^{13}-2q^{17}+\cdots$$
2960.2.a.h $1$ $23.636$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$-1$$ $+$ $$q+q^{3}+q^{5}-q^{7}-2q^{9}+3q^{11}-6q^{13}+\cdots$$
2960.2.a.i $1$ $23.636$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$3$$ $-$ $$q+q^{3}+q^{5}+3q^{7}-2q^{9}+5q^{11}+\cdots$$
2960.2.a.j $1$ $23.636$ $$\Q$$ None None $$0$$ $$2$$ $$-1$$ $$1$$ $+$ $$q+2q^{3}-q^{5}+q^{7}+q^{9}-3q^{11}-4q^{13}+\cdots$$
2960.2.a.k $1$ $23.636$ $$\Q$$ None None $$0$$ $$2$$ $$-1$$ $$2$$ $-$ $$q+2q^{3}-q^{5}+2q^{7}+q^{9}-2q^{13}+\cdots$$
2960.2.a.l $1$ $23.636$ $$\Q$$ None None $$0$$ $$2$$ $$1$$ $$-2$$ $+$ $$q+2q^{3}+q^{5}-2q^{7}+q^{9}-6q^{13}+\cdots$$
2960.2.a.m $1$ $23.636$ $$\Q$$ None None $$0$$ $$2$$ $$1$$ $$-2$$ $-$ $$q+2q^{3}+q^{5}-2q^{7}+q^{9}+2q^{13}+\cdots$$
2960.2.a.n $1$ $23.636$ $$\Q$$ None None $$0$$ $$3$$ $$-1$$ $$5$$ $-$ $$q+3q^{3}-q^{5}+5q^{7}+6q^{9}+3q^{11}+\cdots$$
2960.2.a.o $2$ $23.636$ $$\Q(\sqrt{33})$$ None None $$0$$ $$-4$$ $$2$$ $$3$$ $-$ $$q-2q^{3}+q^{5}+(2-\beta )q^{7}+q^{9}+\beta q^{11}+\cdots$$
2960.2.a.p $2$ $23.636$ $$\Q(\sqrt{3})$$ None None $$0$$ $$2$$ $$2$$ $$-6$$ $-$ $$q+(1+\beta )q^{3}+q^{5}+(-3+\beta )q^{7}+(1+\cdots)q^{9}+\cdots$$
2960.2.a.q $2$ $23.636$ $$\Q(\sqrt{3})$$ None None $$0$$ $$2$$ $$2$$ $$6$$ $-$ $$q+(1+\beta )q^{3}+q^{5}+(3-\beta )q^{7}+(1+2\beta )q^{9}+\cdots$$
2960.2.a.r $3$ $23.636$ 3.3.316.1 None None $$0$$ $$-1$$ $$-3$$ $$1$$ $+$ $$q-\beta _{1}q^{3}-q^{5}+\beta _{1}q^{7}+\beta _{2}q^{9}+(1+\cdots)q^{11}+\cdots$$
2960.2.a.s $3$ $23.636$ 3.3.568.1 None None $$0$$ $$-1$$ $$3$$ $$1$$ $+$ $$q-\beta _{1}q^{3}+q^{5}+\beta _{1}q^{7}+(1+2\beta _{1}+\beta _{2})q^{9}+\cdots$$
2960.2.a.t $3$ $23.636$ 3.3.148.1 None None $$0$$ $$0$$ $$-3$$ $$-2$$ $-$ $$q+\beta _{2}q^{3}-q^{5}+(-2\beta _{1}+\beta _{2})q^{7}+(-\beta _{1}+\cdots)q^{9}+\cdots$$
2960.2.a.u $3$ $23.636$ 3.3.892.1 None None $$0$$ $$0$$ $$-3$$ $$1$$ $-$ $$q+\beta _{2}q^{3}-q^{5}+\beta _{1}q^{7}+(3+2\beta _{1})q^{9}+\cdots$$
2960.2.a.v $4$ $23.636$ 4.4.286164.1 None None $$0$$ $$-3$$ $$4$$ $$5$$ $-$ $$q+(-1+\beta _{1})q^{3}+q^{5}+(1+\beta _{1})q^{7}+\cdots$$
2960.2.a.w $5$ $23.636$ 5.5.973904.1 None None $$0$$ $$-3$$ $$-5$$ $$-11$$ $+$ $$q+(-1+\beta _{1})q^{3}-q^{5}+(-2-\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots$$
2960.2.a.x $5$ $23.636$ 5.5.998068.1 None None $$0$$ $$-1$$ $$-5$$ $$2$$ $+$ $$q-\beta _{4}q^{3}-q^{5}+\beta _{2}q^{7}+(2-\beta _{1}-\beta _{2}+\cdots)q^{9}+\cdots$$
2960.2.a.y $5$ $23.636$ 5.5.6397264.1 None None $$0$$ $$0$$ $$-5$$ $$-3$$ $-$ $$q+\beta _{1}q^{3}-q^{5}+(-1-\beta _{1}+\beta _{3})q^{7}+\cdots$$
2960.2.a.z $5$ $23.636$ 5.5.935504.1 None None $$0$$ $$1$$ $$-5$$ $$1$$ $-$ $$q+\beta _{1}q^{3}-q^{5}-\beta _{3}q^{7}+(\beta _{1}+\beta _{2}-\beta _{3}+\cdots)q^{9}+\cdots$$
2960.2.a.ba $5$ $23.636$ 5.5.368464.1 None None $$0$$ $$1$$ $$5$$ $$-7$$ $+$ $$q+\beta _{3}q^{3}+q^{5}+(-1-\beta _{4})q^{7}+(-1+\cdots)q^{9}+\cdots$$
2960.2.a.bb $5$ $23.636$ 5.5.583504.1 None None $$0$$ $$5$$ $$5$$ $$5$$ $-$ $$q+(1-\beta _{1})q^{3}+q^{5}+(1+\beta _{2}-\beta _{4})q^{7}+\cdots$$
2960.2.a.bc $6$ $23.636$ 6.6.693982032.1 None None $$0$$ $$-1$$ $$6$$ $$-8$$ $-$ $$q-\beta _{1}q^{3}+q^{5}+(-1-\beta _{2})q^{7}+(2+\beta _{3}+\cdots)q^{9}+\cdots$$
2960.2.p.a $2$ $23.636$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-6$$ $$0$$ $$2$$ $$q-3q^{3}+iq^{5}+q^{7}+6q^{9}-3q^{11}+\cdots$$
2960.2.p.b $2$ $23.636$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-4$$ $$0$$ $$-8$$ $$q-2q^{3}+iq^{5}-4q^{7}+q^{9}-4q^{11}+\cdots$$
2960.2.p.c $2$ $23.636$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$0$$ $$-2$$ $$q-q^{3}+iq^{5}-q^{7}-2q^{9}+3q^{11}+\cdots$$
2960.2.p.d $2$ $23.636$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$-10$$ $$q-iq^{5}-5q^{7}-3q^{9}-3q^{11}-2iq^{13}+\cdots$$