## Results (1-50 of 104 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1925.1.l.a $4$ $0.961$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-35})$$, $$\Q(\sqrt{-55})$$ $$\Q(\sqrt{77})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{2}q^{4}-\zeta_{8}q^{7}-\zeta_{8}^{2}q^{9}-q^{11}+\cdots$$
1925.1.l.b $4$ $0.961$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-7})$$, $$\Q(\sqrt{-55})$$ $$\Q(\sqrt{385})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{3}q^{2}-3\zeta_{8}^{2}q^{4}+\zeta_{8}^{3}q^{7}+2\zeta_{8}q^{8}+\cdots$$
1925.1.l.c $8$ $0.961$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{3}q^{2}-\zeta_{24}^{3}q^{7}+\zeta_{24}^{9}q^{8}+\cdots$$
1925.1.w.a $2$ $0.961$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-55})$$ None $$-3$$ $$0$$ $$0$$ $$2$$ $$q+(-1+\zeta_{6}^{2})q^{2}+(1-\zeta_{6}-\zeta_{6}^{2})q^{4}+\cdots$$
1925.1.w.b $2$ $0.961$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-55})$$ None $$3$$ $$0$$ $$0$$ $$-2$$ $$q+(1-\zeta_{6}^{2})q^{2}+(1-\zeta_{6}-\zeta_{6}^{2})q^{4}+\cdots$$
1925.1.w.c $4$ $0.961$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-55})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{2}-\zeta_{12}^{3}q^{7}+\zeta_{12}^{3}q^{8}-\zeta_{12}^{4}q^{9}+\cdots$$
1925.1.bn.a $4$ $0.961$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-7})$$ None $$2$$ $$0$$ $$0$$ $$1$$ $$q+(\zeta_{10}-\zeta_{10}^{2})q^{2}+(\zeta_{10}^{2}-\zeta_{10}^{3}+\cdots)q^{4}+\cdots$$
1925.1.bn.b $8$ $0.961$ $$\Q(\zeta_{15})$$ $$\Q(\sqrt{-7})$$ None $$-2$$ $$0$$ $$0$$ $$2$$ $$q+(\zeta_{30}-\zeta_{30}^{8})q^{2}+(-\zeta_{30}+\zeta_{30}^{2}+\cdots)q^{4}+\cdots$$
1925.1.bn.c $8$ $0.961$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{20}^{3}+\zeta_{20}^{5})q^{3}+\zeta_{20}^{6}q^{4}+\cdots$$
1925.1.bn.d $8$ $0.961$ $$\Q(\zeta_{15})$$ $$\Q(\sqrt{-7})$$ None $$2$$ $$0$$ $$0$$ $$-2$$ $$q+(-\zeta_{30}+\zeta_{30}^{8})q^{2}+(-\zeta_{30}+\zeta_{30}^{2}+\cdots)q^{4}+\cdots$$
1925.1.cb.a $8$ $0.961$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{20}-\zeta_{20}^{7})q^{2}+(\zeta_{20}^{2}-\zeta_{20}^{4}+\cdots)q^{4}+\cdots$$
1925.1.cb.b $16$ $0.961$ $$\Q(\zeta_{60})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{60}+\zeta_{60}^{23})q^{2}+(\zeta_{60}^{2}-\zeta_{60}^{16}+\cdots)q^{4}+\cdots$$
1925.1.ct.a $8$ $0.961$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-55})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{7}q^{2}+\zeta_{24}^{3}q^{7}-\zeta_{24}^{9}q^{8}+\cdots$$
1925.1.ct.b $8$ $0.961$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-55})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{24}^{5}+\zeta_{24}^{9})q^{2}+(-\zeta_{24}^{2}-\zeta_{24}^{6}+\cdots)q^{4}+\cdots$$
1925.1.dn.a $16$ $0.961$ $$\Q(\zeta_{40})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{40}+\zeta_{40}^{17})q^{2}+(\zeta_{40}^{2}-\zeta_{40}^{14}+\cdots)q^{4}+\cdots$$
1925.1.dn.b $16$ $0.961$ $$\Q(\zeta_{40})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{40}^{5}-\zeta_{40}^{9})q^{3}-\zeta_{40}^{18}q^{4}+\cdots$$
1925.1.dn.c $32$ $0.961$ $$\Q(\zeta_{120})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{120}-\zeta_{120}^{53})q^{2}+(\zeta_{120}^{2}-\zeta_{120}^{46}+\cdots)q^{4}+\cdots$$
1925.2.a.a $1$ $15.371$ $$\Q$$ None None $$-2$$ $$0$$ $$0$$ $$1$$ $+$ $$q-2q^{2}+2q^{4}+q^{7}-3q^{9}+q^{11}+\cdots$$
1925.2.a.b $1$ $15.371$ $$\Q$$ None None $$-1$$ $$-2$$ $$0$$ $$-1$$ $+$ $$q-q^{2}-2q^{3}-q^{4}+2q^{6}-q^{7}+3q^{8}+\cdots$$
1925.2.a.c $1$ $15.371$ $$\Q$$ None None $$-1$$ $$-2$$ $$0$$ $$1$$ $+$ $$q-q^{2}-2q^{3}-q^{4}+2q^{6}+q^{7}+3q^{8}+\cdots$$
1925.2.a.d $1$ $15.371$ $$\Q$$ None None $$-1$$ $$-2$$ $$0$$ $$1$$ $-$ $$q-q^{2}-2q^{3}-q^{4}+2q^{6}+q^{7}+3q^{8}+\cdots$$
1925.2.a.e $1$ $15.371$ $$\Q$$ None None $$0$$ $$-2$$ $$0$$ $$1$$ $+$ $$q-2q^{3}-2q^{4}+q^{7}+q^{9}-q^{11}+4q^{12}+\cdots$$
1925.2.a.f $1$ $15.371$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-1$$ $+$ $$q-q^{3}-2q^{4}-q^{7}-2q^{9}-q^{11}+2q^{12}+\cdots$$
1925.2.a.g $1$ $15.371$ $$\Q$$ None None $$0$$ $$2$$ $$0$$ $$-1$$ $+$ $$q+2q^{3}-2q^{4}-q^{7}+q^{9}-q^{11}-4q^{12}+\cdots$$
1925.2.a.h $1$ $15.371$ $$\Q$$ None None $$0$$ $$3$$ $$0$$ $$1$$ $-$ $$q+3q^{3}-2q^{4}+q^{7}+6q^{9}-q^{11}+\cdots$$
1925.2.a.i $1$ $15.371$ $$\Q$$ None None $$1$$ $$0$$ $$0$$ $$1$$ $+$ $$q+q^{2}-q^{4}+q^{7}-3q^{8}-3q^{9}+q^{11}+\cdots$$
1925.2.a.j $1$ $15.371$ $$\Q$$ None None $$1$$ $$2$$ $$0$$ $$-1$$ $+$ $$q+q^{2}+2q^{3}-q^{4}+2q^{6}-q^{7}-3q^{8}+\cdots$$
1925.2.a.k $1$ $15.371$ $$\Q$$ None None $$1$$ $$2$$ $$0$$ $$-1$$ $+$ $$q+q^{2}+2q^{3}-q^{4}+2q^{6}-q^{7}-3q^{8}+\cdots$$
1925.2.a.l $1$ $15.371$ $$\Q$$ None None $$1$$ $$2$$ $$0$$ $$1$$ $-$ $$q+q^{2}+2q^{3}-q^{4}+2q^{6}+q^{7}-3q^{8}+\cdots$$
1925.2.a.m $1$ $15.371$ $$\Q$$ None None $$2$$ $$0$$ $$0$$ $$-1$$ $+$ $$q+2q^{2}+2q^{4}-q^{7}-3q^{9}+q^{11}+\cdots$$
1925.2.a.n $2$ $15.371$ $$\Q(\sqrt{2})$$ None None $$-2$$ $$0$$ $$0$$ $$2$$ $+$ $$q+(-1+\beta )q^{2}+\beta q^{3}+(1-2\beta )q^{4}+\cdots$$
1925.2.a.o $2$ $15.371$ $$\Q(\sqrt{5})$$ None None $$-1$$ $$0$$ $$0$$ $$-2$$ $+$ $$q-\beta q^{2}+(-1+2\beta )q^{3}+(-1+\beta )q^{4}+\cdots$$
1925.2.a.p $2$ $15.371$ $$\Q(\sqrt{13})$$ None None $$-1$$ $$2$$ $$0$$ $$2$$ $+$ $$q-\beta q^{2}+q^{3}+(1+\beta )q^{4}-\beta q^{6}+q^{7}+\cdots$$
1925.2.a.q $2$ $15.371$ $$\Q(\sqrt{3})$$ None None $$0$$ $$-2$$ $$0$$ $$-2$$ $+$ $$q+\beta q^{2}+(-1+\beta )q^{3}+q^{4}+(3-\beta )q^{6}+\cdots$$
1925.2.a.r $2$ $15.371$ $$\Q(\sqrt{5})$$ None None $$0$$ $$-2$$ $$0$$ $$-2$$ $+$ $$q-\beta q^{2}+(-1+\beta )q^{3}+3q^{4}+(-5+\cdots)q^{6}+\cdots$$
1925.2.a.s $2$ $15.371$ $$\Q(\sqrt{13})$$ None None $$1$$ $$-2$$ $$0$$ $$-2$$ $+$ $$q+\beta q^{2}-q^{3}+(1+\beta )q^{4}-\beta q^{6}-q^{7}+\cdots$$
1925.2.a.t $2$ $15.371$ $$\Q(\sqrt{5})$$ None None $$1$$ $$0$$ $$0$$ $$2$$ $+$ $$q+\beta q^{2}+(1-2\beta )q^{3}+(-1+\beta )q^{4}+\cdots$$
1925.2.a.u $3$ $15.371$ 3.3.148.1 None None $$-1$$ $$0$$ $$0$$ $$-3$$ $-$ $$q-\beta _{1}q^{2}-\beta _{2}q^{3}+(\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots$$
1925.2.a.v $3$ $15.371$ 3.3.148.1 None None $$3$$ $$2$$ $$0$$ $$3$$ $-$ $$q+(1+\beta _{2})q^{2}+(1-\beta _{1})q^{3}+(2-\beta _{1}+\cdots)q^{4}+\cdots$$
1925.2.a.w $3$ $15.371$ 3.3.148.1 None None $$3$$ $$4$$ $$0$$ $$-3$$ $-$ $$q+(1+\beta _{2})q^{2}+(1+\beta _{1})q^{3}+(2-\beta _{1}+\cdots)q^{4}+\cdots$$
1925.2.a.x $4$ $15.371$ 4.4.11348.1 None None $$-2$$ $$-2$$ $$0$$ $$4$$ $-$ $$q+(-1-\beta _{2})q^{2}+(-1-\beta _{3})q^{3}+(2+\cdots)q^{4}+\cdots$$
1925.2.a.y $6$ $15.371$ 6.6.9921856.1 None None $$0$$ $$-6$$ $$0$$ $$6$$ $+$ $$q-\beta _{1}q^{2}+(-\beta _{2}-\beta _{4}-\beta _{5})q^{3}+\beta _{2}q^{4}+\cdots$$
1925.2.a.z $6$ $15.371$ 6.6.9921856.1 None None $$0$$ $$6$$ $$0$$ $$-6$$ $-$ $$q+\beta _{1}q^{2}+(\beta _{2}+\beta _{4}+\beta _{5})q^{3}+\beta _{2}q^{4}+\cdots$$
1925.2.a.ba $7$ $15.371$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$-1$$ $$0$$ $$0$$ $$-7$$ $-$ $$q-\beta _{1}q^{2}-\beta _{2}q^{3}+(2-\beta _{2}+\beta _{3})q^{4}+\cdots$$
1925.2.a.bb $7$ $15.371$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$-1$$ $$0$$ $$0$$ $$-7$$ $-$ $$q-\beta _{1}q^{2}+\beta _{4}q^{3}+(2+\beta _{2})q^{4}-\beta _{6}q^{6}+\cdots$$
1925.2.a.bc $7$ $15.371$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$1$$ $$0$$ $$0$$ $$7$$ $-$ $$q+\beta _{1}q^{2}+\beta _{2}q^{3}+(2-\beta _{2}+\beta _{3})q^{4}+\cdots$$
1925.2.a.bd $7$ $15.371$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$1$$ $$0$$ $$0$$ $$7$$ $-$ $$q+\beta _{1}q^{2}-\beta _{4}q^{3}+(2+\beta _{2})q^{4}-\beta _{6}q^{6}+\cdots$$
1925.2.a.be $8$ $15.371$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None None $$-4$$ $$-6$$ $$0$$ $$-8$$ $+$ $$q+(-1+\beta _{1})q^{2}+(-1-\beta _{5})q^{3}+(2+\cdots)q^{4}+\cdots$$
1925.2.a.bf $8$ $15.371$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None None $$4$$ $$6$$ $$0$$ $$8$$ $-$ $$q+(1-\beta _{1})q^{2}+(1+\beta _{5})q^{3}+(2+\beta _{2}+\cdots)q^{4}+\cdots$$
1925.2.b.a $2$ $15.371$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{2}-2q^{4}-iq^{7}+3q^{9}+q^{11}+\cdots$$