## Results (1-50 of 61 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
3025.1.f.a $2$ $1.510$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-55})$$ None $$-2$$ $$0$$ $$0$$ $$2$$ $-$ $$q+(-1-i)q^{2}+iq^{4}+(1+i)q^{7}-q^{8}+\cdots$$
3025.1.f.b $2$ $1.510$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $-$ $$q+(-1+i)q^{3}-iq^{4}-iq^{9}+(1+i+\cdots)q^{12}+\cdots$$
3025.1.f.c $2$ $1.510$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-55})$$ None $$2$$ $$0$$ $$0$$ $$-2$$ $-$ $$q+(1+i)q^{2}+iq^{4}+(-1-i)q^{7}+q^{8}+\cdots$$
3025.1.m.a $4$ $1.510$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$3$$ $$-1$$ $$0$$ $-$ $$q+(1-\zeta_{10})q^{3}+q^{4}+\zeta_{10}^{2}q^{5}+(1+\cdots)q^{9}+\cdots$$
3025.1.o.a $4$ $1.510$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$1$$ $$0$$ $-$ $$q+(-\zeta_{10}-\zeta_{10}^{4})q^{3}-\zeta_{10}^{4}q^{4}-\zeta_{10}^{4}q^{5}+\cdots$$
3025.1.p.a $4$ $1.510$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$-5$$ $$1$$ $$0$$ $-$ $$q+(-1-\zeta_{10})q^{3}-\zeta_{10}^{4}q^{4}+\zeta_{10}q^{5}+\cdots$$
3025.1.r.a $4$ $1.510$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$1$$ $$0$$ $-$ $$q+(-\zeta_{10}^{2}+\zeta_{10}^{4})q^{3}+\zeta_{10}q^{4}+\zeta_{10}^{3}q^{5}+\cdots$$
3025.1.u.a $4$ $1.510$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$3$$ $$-1$$ $$0$$ $-$ $$q+(1+\zeta_{10}^{4})q^{3}-\zeta_{10}q^{4}+\zeta_{10}^{4}q^{5}+\cdots$$
3025.1.w.a $4$ $1.510$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$-2$$ $$-1$$ $$0$$ $-$ $$q+(\zeta_{10}^{2}+\zeta_{10}^{4})q^{3}-\zeta_{10}q^{4}-\zeta_{10}^{3}q^{5}+\cdots$$
3025.1.x.a $4$ $1.510$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-11})$$, $$\Q(\sqrt{-55})$$ $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q-\zeta_{10}^{3}q^{4}-\zeta_{10}^{4}q^{9}-\zeta_{10}q^{16}+\cdots$$
3025.1.bc.a $4$ $1.510$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$-2$$ $$-1$$ $$0$$ $-$ $$q+(-\zeta_{10}+\zeta_{10}^{4})q^{3}-\zeta_{10}q^{4}-\zeta_{10}q^{5}+\cdots$$
3025.1.bd.a $4$ $1.510$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$5$$ $$1$$ $$0$$ $-$ $$q+(1-\zeta_{10}^{2})q^{3}-q^{4}-\zeta_{10}^{4}q^{5}+(1+\cdots)q^{9}+\cdots$$
3025.1.bf.a $8$ $1.510$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$8$$ $$0$$ $$0$$ $-$ $$q+(1+\zeta_{20}^{9})q^{3}+\zeta_{20}^{5}q^{4}+\zeta_{20}^{3}q^{5}+\cdots$$
3025.1.bi.a $8$ $1.510$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $-$ $$q+(-\zeta_{20}^{6}+\zeta_{20}^{9})q^{3}+\zeta_{20}^{9}q^{4}+\cdots$$
3025.1.bj.a $8$ $1.510$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $-$ $$q+(\zeta_{20}+\zeta_{20}^{8})q^{3}-\zeta_{20}^{7}q^{4}-\zeta_{20}^{5}q^{5}+\cdots$$
3025.1.bk.a $8$ $1.510$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $-$ $$q+(\zeta_{20}^{3}-\zeta_{20}^{6})q^{3}-\zeta_{20}^{9}q^{4}-\zeta_{20}^{7}q^{5}+\cdots$$
3025.1.bl.a $8$ $1.510$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-55})$$ None $$-2$$ $$0$$ $$0$$ $$2$$ $-$ $$q+(\zeta_{20}-\zeta_{20}^{6})q^{2}-\zeta_{20}^{7}q^{4}+(\zeta_{20}^{2}+\cdots)q^{7}+\cdots$$
3025.1.bl.b $8$ $1.510$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $-$ $$q+(-\zeta_{20}^{3}-\zeta_{20}^{8})q^{3}+\zeta_{20}^{7}q^{4}+\cdots$$
3025.1.bl.c $8$ $1.510$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-55})$$ None $$2$$ $$0$$ $$0$$ $$-2$$ $-$ $$q+(-\zeta_{20}+\zeta_{20}^{6})q^{2}-\zeta_{20}^{7}q^{4}+(-\zeta_{20}^{2}+\cdots)q^{7}+\cdots$$
3025.1.bq.a $8$ $1.510$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $-$ $$q+(-\zeta_{20}^{2}-\zeta_{20}^{5})q^{3}+\zeta_{20}^{3}q^{4}+\cdots$$
3025.2.a.a $1$ $24.155$ $$\Q$$ None None $$-2$$ $$1$$ $$0$$ $$-2$$ $-$ $$q-2q^{2}+q^{3}+2q^{4}-2q^{6}-2q^{7}+\cdots$$
3025.2.a.b $1$ $24.155$ $$\Q$$ None None $$-1$$ $$-2$$ $$0$$ $$2$$ $-$ $$q-q^{2}-2q^{3}-q^{4}+2q^{6}+2q^{7}+3q^{8}+\cdots$$
3025.2.a.c $1$ $24.155$ $$\Q$$ None None $$-1$$ $$3$$ $$0$$ $$-3$$ $-$ $$q-q^{2}+3q^{3}-q^{4}-3q^{6}-3q^{7}+3q^{8}+\cdots$$
3025.2.a.d $1$ $24.155$ $$\Q$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$1$$ $$0$$ $$0$$ $+$ $$q+q^{3}-2q^{4}-2q^{9}-2q^{12}+4q^{16}+\cdots$$
3025.2.a.e $1$ $24.155$ $$\Q$$ None None $$1$$ $$-2$$ $$0$$ $$-2$$ $-$ $$q+q^{2}-2q^{3}-q^{4}-2q^{6}-2q^{7}-3q^{8}+\cdots$$
3025.2.a.f $1$ $24.155$ $$\Q$$ None None $$1$$ $$0$$ $$0$$ $$0$$ $-$ $$q+q^{2}-q^{4}-3q^{8}-3q^{9}+2q^{13}+\cdots$$
3025.2.a.g $1$ $24.155$ $$\Q$$ None None $$1$$ $$3$$ $$0$$ $$3$$ $-$ $$q+q^{2}+3q^{3}-q^{4}+3q^{6}+3q^{7}-3q^{8}+\cdots$$
3025.2.a.h $2$ $24.155$ $$\Q(\sqrt{13})$$ None None $$-1$$ $$1$$ $$0$$ $$-5$$ $+$ $$q-\beta q^{2}+(1-\beta )q^{3}+(1+\beta )q^{4}+3q^{6}+\cdots$$
3025.2.a.i $2$ $24.155$ $$\Q(\sqrt{5})$$ None None $$-1$$ $$3$$ $$0$$ $$-1$$ $-$ $$q-\beta q^{2}+(1+\beta )q^{3}+(-1+\beta )q^{4}+(-1+\cdots)q^{6}+\cdots$$
3025.2.a.j $2$ $24.155$ $$\Q(\sqrt{3})$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $+$ $$q+\beta q^{2}-2q^{3}+q^{4}-2\beta q^{6}+2\beta q^{7}+\cdots$$
3025.2.a.k $2$ $24.155$ $$\Q(\sqrt{11})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q-\beta q^{3}-2q^{4}+8q^{9}+2\beta q^{12}+4q^{16}+\cdots$$
3025.2.a.l $2$ $24.155$ $$\Q(\sqrt{3})$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $+$ $$q+\beta q^{2}+q^{3}+q^{4}+\beta q^{6}-\beta q^{7}-\beta q^{8}+\cdots$$
3025.2.a.m $2$ $24.155$ $$\Q(\sqrt{5})$$ None None $$1$$ $$-3$$ $$0$$ $$1$$ $+$ $$q+\beta q^{2}+(-1-\beta )q^{3}+(-1+\beta )q^{4}+\cdots$$
3025.2.a.n $2$ $24.155$ $$\Q(\sqrt{13})$$ None None $$1$$ $$-1$$ $$0$$ $$5$$ $-$ $$q+\beta q^{2}+(-1+\beta )q^{3}+(1+\beta )q^{4}+3q^{6}+\cdots$$
3025.2.a.o $2$ $24.155$ $$\Q(\sqrt{2})$$ None None $$2$$ $$0$$ $$0$$ $$-4$$ $-$ $$q+(1+\beta )q^{2}+2\beta q^{3}+(1+2\beta )q^{4}+(4+\cdots)q^{6}+\cdots$$
3025.2.a.p $3$ $24.155$ 3.3.404.1 None None $$-1$$ $$-1$$ $$0$$ $$1$$ $-$ $$q-\beta _{2}q^{2}-\beta _{1}q^{3}+(3+\beta _{1}-\beta _{2})q^{4}+\cdots$$
3025.2.a.q $3$ $24.155$ 3.3.473.1 None None $$0$$ $$-3$$ $$0$$ $$4$$ $+$ $$q+\beta _{1}q^{2}+(-1-\beta _{1})q^{3}+(1+\beta _{2})q^{4}+\cdots$$
3025.2.a.r $3$ $24.155$ 3.3.473.1 None None $$0$$ $$-3$$ $$0$$ $$-4$$ $+$ $$q-\beta _{1}q^{2}+(-1-\beta _{1})q^{3}+(1+\beta _{2})q^{4}+\cdots$$
3025.2.a.s $3$ $24.155$ 3.3.473.1 None None $$0$$ $$3$$ $$0$$ $$-4$$ $-$ $$q-\beta _{1}q^{2}+(1+\beta _{1})q^{3}+(1+\beta _{2})q^{4}+\cdots$$
3025.2.a.t $3$ $24.155$ 3.3.473.1 None None $$0$$ $$3$$ $$0$$ $$4$$ $-$ $$q+\beta _{1}q^{2}+(1+\beta _{1})q^{3}+(1+\beta _{2})q^{4}+\cdots$$
3025.2.a.u $3$ $24.155$ 3.3.404.1 None None $$1$$ $$-1$$ $$0$$ $$-1$$ $-$ $$q+\beta _{2}q^{2}-\beta _{1}q^{3}+(3+\beta _{1}-\beta _{2})q^{4}+\cdots$$
3025.2.a.v $4$ $24.155$ 4.4.2525.1 None None $$-3$$ $$2$$ $$0$$ $$-11$$ $+$ $$q+(-1-\beta _{3})q^{2}+\beta _{1}q^{3}+(1+\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots$$
3025.2.a.w $4$ $24.155$ 4.4.725.1 None None $$-1$$ $$0$$ $$0$$ $$-3$$ $-$ $$q-\beta _{1}q^{2}+(1-\beta _{2}-\beta _{3})q^{3}+(-1+\beta _{1}+\cdots)q^{4}+\cdots$$
3025.2.a.x $4$ $24.155$ 4.4.105840.1 None None $$0$$ $$-2$$ $$0$$ $$0$$ $+$ $$q+\beta _{1}q^{2}+(-1-\beta _{2})q^{3}+(3+\beta _{2})q^{4}+\cdots$$
3025.2.a.y $4$ $24.155$ $$\Q(\zeta_{24})^+$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q+\beta _{1}q^{2}+\beta _{3}q^{3}+\beta _{2}q^{4}-q^{6}+(\beta _{1}+\cdots)q^{7}+\cdots$$
3025.2.a.z $4$ $24.155$ $$\Q(\zeta_{24})^+$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q+\beta _{1}q^{2}-\beta _{3}q^{3}+\beta _{2}q^{4}+q^{6}+(\beta _{1}+\cdots)q^{7}+\cdots$$
3025.2.a.ba $4$ $24.155$ $$\Q(\sqrt{3}, \sqrt{11})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q+\beta _{1}q^{2}+(-\beta _{1}+\beta _{2})q^{3}+(2+\beta _{3})q^{4}+\cdots$$
3025.2.a.bb $4$ $24.155$ 4.4.4400.1 $$\Q(\sqrt{-55})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q-\beta _{2}q^{2}+(2-\beta _{3})q^{4}+\beta _{1}q^{7}+(\beta _{1}+\cdots)q^{8}+\cdots$$
3025.2.a.bc $4$ $24.155$ 4.4.105840.1 None None $$0$$ $$2$$ $$0$$ $$0$$ $-$ $$q+\beta _{1}q^{2}+(1+\beta _{2})q^{3}+(3+\beta _{2})q^{4}+\cdots$$
3025.2.a.bd $4$ $24.155$ 4.4.725.1 None None $$1$$ $$0$$ $$0$$ $$3$$ $+$ $$q+\beta _{1}q^{2}+(1-\beta _{2}-\beta _{3})q^{3}+(-1+\beta _{1}+\cdots)q^{4}+\cdots$$