## Results (1-50 of 83 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1848.1.b.a $2$ $0.922$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-6})$$, $$\Q(\sqrt{-231})$$ $$\Q(\sqrt{154})$$ $$0$$ $$0$$ $$0$$ $$-2$$ $$q-iq^{2}-iq^{3}-q^{4}-iq^{5}-q^{6}-q^{7}+\cdots$$
1848.1.b.b $2$ $0.922$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-6})$$, $$\Q(\sqrt{-231})$$ $$\Q(\sqrt{154})$$ $$0$$ $$0$$ $$0$$ $$2$$ $$q+iq^{2}-iq^{3}-q^{4}-iq^{5}+q^{6}+q^{7}+\cdots$$
1848.1.b.c $4$ $0.922$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-231})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $$q+\zeta_{12}q^{2}+\zeta_{12}^{3}q^{3}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{3}q^{5}+\cdots$$
1848.1.b.d $4$ $0.922$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-231})$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}^{4}q^{4}+\cdots$$
1848.1.br.a $2$ $0.922$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-66})$$ None $$-1$$ $$-1$$ $$-1$$ $$1$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{5}+\cdots$$
1848.1.br.b $2$ $0.922$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-66})$$ None $$-1$$ $$-1$$ $$1$$ $$-1$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+\cdots$$
1848.1.br.c $2$ $0.922$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-66})$$ None $$1$$ $$-1$$ $$-1$$ $$-1$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{5}+\cdots$$
1848.1.br.d $2$ $0.922$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-66})$$ None $$1$$ $$-1$$ $$1$$ $$1$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+\cdots$$
1848.1.br.e $4$ $0.922$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-66})$$ None $$-2$$ $$2$$ $$0$$ $$0$$ $$q-\zeta_{12}^{2}q^{2}-\zeta_{12}^{4}q^{3}+\zeta_{12}^{4}q^{4}+\cdots$$
1848.1.br.f $4$ $0.922$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-66})$$ None $$2$$ $$2$$ $$0$$ $$0$$ $$q+\zeta_{12}^{2}q^{2}-\zeta_{12}^{4}q^{3}+\zeta_{12}^{4}q^{4}+\cdots$$
1848.1.ce.a $4$ $0.922$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q-\zeta_{12}q^{2}-\zeta_{12}^{5}q^{3}+\zeta_{12}^{2}q^{4}+\zeta_{12}q^{5}+\cdots$$
1848.1.ce.b $4$ $0.922$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+\zeta_{12}q^{2}-\zeta_{12}^{5}q^{3}+\zeta_{12}^{2}q^{4}+\zeta_{12}q^{5}+\cdots$$
1848.1.dq.a $8$ $0.922$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+\zeta_{20}^{9}q^{2}+\zeta_{20}^{7}q^{3}-\zeta_{20}^{8}q^{4}+\cdots$$
1848.1.dq.b $8$ $0.922$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q-\zeta_{20}^{9}q^{2}+\zeta_{20}^{7}q^{3}-\zeta_{20}^{8}q^{4}+\cdots$$
1848.1.ec.a $16$ $0.922$ $$\Q(\zeta_{60})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q-\zeta_{60}^{13}q^{2}+\zeta_{60}^{29}q^{3}+\zeta_{60}^{26}q^{4}+\cdots$$
1848.1.ec.b $16$ $0.922$ $$\Q(\zeta_{60})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-\zeta_{60}^{13}q^{2}-\zeta_{60}^{29}q^{3}+\zeta_{60}^{26}q^{4}+\cdots$$
1848.1.er.a $8$ $0.922$ $$\Q(\zeta_{15})$$ $$\Q(\sqrt{-6})$$ None $$-1$$ $$-1$$ $$1$$ $$1$$ $$q-\zeta_{30}^{2}q^{2}+\zeta_{30}q^{3}+\zeta_{30}^{4}q^{4}+(-\zeta_{30}^{4}+\cdots)q^{5}+\cdots$$
1848.1.er.b $8$ $0.922$ $$\Q(\zeta_{15})$$ $$\Q(\sqrt{-6})$$ None $$-1$$ $$-1$$ $$1$$ $$1$$ $$q-\zeta_{30}^{2}q^{2}+\zeta_{30}q^{3}+\zeta_{30}^{4}q^{4}+(\zeta_{30}^{7}+\cdots)q^{5}+\cdots$$
1848.1.er.c $8$ $0.922$ $$\Q(\zeta_{15})$$ $$\Q(\sqrt{-6})$$ None $$1$$ $$1$$ $$-1$$ $$1$$ $$q+\zeta_{30}^{2}q^{2}-\zeta_{30}q^{3}+\zeta_{30}^{4}q^{4}+(-\zeta_{30}^{7}+\cdots)q^{5}+\cdots$$
1848.1.er.d $8$ $0.922$ $$\Q(\zeta_{15})$$ $$\Q(\sqrt{-6})$$ None $$1$$ $$1$$ $$-1$$ $$1$$ $$q+\zeta_{30}^{2}q^{2}-\zeta_{30}q^{3}+\zeta_{30}^{4}q^{4}+(\zeta_{30}^{4}+\cdots)q^{5}+\cdots$$
1848.2.a.a $1$ $14.756$ $$\Q$$ None None $$0$$ $$-1$$ $$-3$$ $$1$$ $+$ $$q-q^{3}-3q^{5}+q^{7}+q^{9}+q^{11}-q^{13}+\cdots$$
1848.2.a.b $1$ $14.756$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$1$$ $-$ $$q-q^{3}-q^{5}+q^{7}+q^{9}-q^{11}-3q^{13}+\cdots$$
1848.2.a.c $1$ $14.756$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$1$$ $+$ $$q-q^{3}+q^{7}+q^{9}-q^{11}+2q^{13}-8q^{17}+\cdots$$
1848.2.a.d $1$ $14.756$ $$\Q$$ None None $$0$$ $$-1$$ $$2$$ $$1$$ $+$ $$q-q^{3}+2q^{5}+q^{7}+q^{9}+q^{11}-6q^{13}+\cdots$$
1848.2.a.e $1$ $14.756$ $$\Q$$ None None $$0$$ $$1$$ $$-4$$ $$-1$$ $-$ $$q+q^{3}-4q^{5}-q^{7}+q^{9}-q^{11}-2q^{13}+\cdots$$
1848.2.a.f $1$ $14.756$ $$\Q$$ None None $$0$$ $$1$$ $$-3$$ $$1$$ $+$ $$q+q^{3}-3q^{5}+q^{7}+q^{9}+q^{11}-3q^{13}+\cdots$$
1848.2.a.g $1$ $14.756$ $$\Q$$ None None $$0$$ $$1$$ $$-2$$ $$-1$$ $+$ $$q+q^{3}-2q^{5}-q^{7}+q^{9}-q^{11}-2q^{13}+\cdots$$
1848.2.a.h $1$ $14.756$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$-1$$ $+$ $$q+q^{3}-q^{5}-q^{7}+q^{9}+q^{11}+q^{13}+\cdots$$
1848.2.a.i $1$ $14.756$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$1$$ $+$ $$q+q^{3}-q^{5}+q^{7}+q^{9}-q^{11}-5q^{13}+\cdots$$
1848.2.a.j $1$ $14.756$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$-1$$ $+$ $$q+q^{3}+q^{5}-q^{7}+q^{9}-q^{11}-5q^{13}+\cdots$$
1848.2.a.k $1$ $14.756$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$-1$$ $-$ $$q+q^{3}+q^{5}-q^{7}+q^{9}-q^{11}+3q^{13}+\cdots$$
1848.2.a.l $1$ $14.756$ $$\Q$$ None None $$0$$ $$1$$ $$2$$ $$-1$$ $-$ $$q+q^{3}+2q^{5}-q^{7}+q^{9}+q^{11}+6q^{13}+\cdots$$
1848.2.a.m $2$ $14.756$ $$\Q(\sqrt{17})$$ None None $$0$$ $$-2$$ $$-3$$ $$-2$$ $-$ $$q-q^{3}+(-1-\beta )q^{5}-q^{7}+q^{9}+q^{11}+\cdots$$
1848.2.a.n $2$ $14.756$ $$\Q(\sqrt{17})$$ None None $$0$$ $$-2$$ $$-3$$ $$-2$$ $+$ $$q-q^{3}+(-1-\beta )q^{5}-q^{7}+q^{9}+q^{11}+\cdots$$
1848.2.a.o $2$ $14.756$ $$\Q(\sqrt{33})$$ None None $$0$$ $$-2$$ $$-3$$ $$2$$ $+$ $$q-q^{3}+(-1-\beta )q^{5}+q^{7}+q^{9}-q^{11}+\cdots$$
1848.2.a.p $2$ $14.756$ $$\Q(\sqrt{17})$$ None None $$0$$ $$-2$$ $$1$$ $$-2$$ $+$ $$q-q^{3}+\beta q^{5}-q^{7}+q^{9}-q^{11}+(2+\cdots)q^{13}+\cdots$$
1848.2.a.q $2$ $14.756$ $$\Q(\sqrt{17})$$ None None $$0$$ $$-2$$ $$3$$ $$-2$$ $-$ $$q-q^{3}+(1+\beta )q^{5}-q^{7}+q^{9}-q^{11}+\cdots$$
1848.2.a.r $2$ $14.756$ $$\Q(\sqrt{17})$$ None None $$0$$ $$-2$$ $$3$$ $$2$$ $-$ $$q-q^{3}+(1+\beta )q^{5}+q^{7}+q^{9}+q^{11}+\cdots$$
1848.2.a.s $2$ $14.756$ $$\Q(\sqrt{41})$$ None None $$0$$ $$2$$ $$1$$ $$-2$$ $-$ $$q+q^{3}+\beta q^{5}-q^{7}+q^{9}+q^{11}-\beta q^{13}+\cdots$$
1848.2.a.t $3$ $14.756$ 3.3.961.1 None None $$0$$ $$3$$ $$1$$ $$3$$ $-$ $$q+q^{3}+\beta _{1}q^{5}+q^{7}+q^{9}-q^{11}+(1+\cdots)q^{13}+\cdots$$
1848.2.a.u $3$ $14.756$ 3.3.568.1 None None $$0$$ $$3$$ $$1$$ $$3$$ $-$ $$q+q^{3}-\beta _{2}q^{5}+q^{7}+q^{9}+q^{11}+\beta _{1}q^{13}+\cdots$$
1848.2.f.a $36$ $14.756$ None None $$0$$ $$-2$$ $$0$$ $$0$$
1848.2.f.b $36$ $14.756$ None None $$0$$ $$-2$$ $$0$$ $$0$$
1848.2.q.a $24$ $14.756$ None None $$0$$ $$0$$ $$0$$ $$-4$$
1848.2.q.b $24$ $14.756$ None None $$0$$ $$0$$ $$0$$ $$4$$
1848.2.v.a $8$ $14.756$ 8.0.$$\cdots$$.10 None None $$0$$ $$0$$ $$0$$ $$-16$$ $$q-\beta _{2}q^{3}+(-\beta _{2}-\beta _{7})q^{5}+(-2+\beta _{1}+\cdots)q^{7}+\cdots$$
1848.2.v.b $8$ $14.756$ 8.0.342102016.5 None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+(-\beta _{5}-\beta _{6})q^{3}+\beta _{2}q^{5}+(-1+\beta _{6}+\cdots)q^{7}+\cdots$$
1848.2.v.c $16$ $14.756$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $$q+\beta _{7}q^{3}+(\beta _{6}+\beta _{9}-\beta _{12})q^{7}+(-1+\cdots)q^{9}+\cdots$$
1848.2.v.d $16$ $14.756$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$16$$ $$q+(-\beta _{3}-\beta _{15})q^{3}+(\beta _{5}-\beta _{6}-\beta _{10}+\cdots)q^{5}+\cdots$$
1848.2.v.e $32$ $14.756$ None None $$0$$ $$0$$ $$0$$ $$4$$