## Results (1-50 of 107 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1960.1.i.a $1$ $0.978$ $$\Q$$ $$\Q(\sqrt{-10})$$ None $$-1$$ $$0$$ $$-1$$ $$0$$ $$q-q^{2}+q^{4}-q^{5}-q^{8}+q^{9}+q^{10}+\cdots$$
1960.1.i.b $1$ $0.978$ $$\Q$$ $$\Q(\sqrt{-10})$$ None $$-1$$ $$0$$ $$1$$ $$0$$ $$q-q^{2}+q^{4}+q^{5}-q^{8}+q^{9}-q^{10}+\cdots$$
1960.1.i.c $1$ $0.978$ $$\Q$$ $$\Q(\sqrt{-10})$$ None $$1$$ $$0$$ $$-1$$ $$0$$ $$q+q^{2}+q^{4}-q^{5}+q^{8}+q^{9}-q^{10}+\cdots$$
1960.1.i.d $1$ $0.978$ $$\Q$$ $$\Q(\sqrt{-10})$$ None $$1$$ $$0$$ $$1$$ $$0$$ $$q+q^{2}+q^{4}+q^{5}+q^{8}+q^{9}+q^{10}+\cdots$$
1960.1.u.a $8$ $0.978$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{16}^{2}q^{2}+(\zeta_{16}^{5}-\zeta_{16}^{7})q^{3}+\zeta_{16}^{4}q^{4}+\cdots$$
1960.1.v.a $4$ $0.978$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{3}-\zeta_{8}q^{5}+q^{11}+\zeta_{8}q^{13}+\cdots$$
1960.1.bi.a $2$ $0.978$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-10})$$ None $$-1$$ $$0$$ $$1$$ $$0$$ $$q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{5}+q^{8}-\zeta_{6}q^{9}+\cdots$$
1960.1.bi.b $2$ $0.978$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-10})$$ None $$1$$ $$0$$ $$-1$$ $$0$$ $$q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}-q^{8}-\zeta_{6}q^{9}+\cdots$$
1960.1.bk.a $8$ $0.978$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{2}q^{2}+(-\zeta_{24}+\zeta_{24}^{7})q^{3}+\zeta_{24}^{4}q^{4}+\cdots$$
1960.1.br.a $8$ $0.978$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{7}q^{3}-\zeta_{24}^{11}q^{5}-\zeta_{24}^{4}q^{11}+\cdots$$
1960.1.bu.a $16$ $0.978$ $$\Q(\zeta_{48})$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{48}^{2}q^{2}+(-\zeta_{48}-\zeta_{48}^{19})q^{3}+\cdots$$
1960.1.cf.a $6$ $0.978$ $$\Q(\zeta_{14})$$ $$\Q(\sqrt{-10})$$ None $$-1$$ $$0$$ $$-1$$ $$-1$$ $$q-\zeta_{14}^{5}q^{2}-\zeta_{14}^{3}q^{4}-\zeta_{14}q^{5}+\zeta_{14}^{6}q^{7}+\cdots$$
1960.1.cf.b $6$ $0.978$ $$\Q(\zeta_{14})$$ $$\Q(\sqrt{-10})$$ None $$1$$ $$0$$ $$1$$ $$1$$ $$q+\zeta_{14}^{5}q^{2}-\zeta_{14}^{3}q^{4}+\zeta_{14}q^{5}-\zeta_{14}^{6}q^{7}+\cdots$$
1960.1.cz.a $12$ $0.978$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-10})$$ None $$-1$$ $$0$$ $$-1$$ $$2$$ $$q-\zeta_{42}^{16}q^{2}-\zeta_{42}^{11}q^{4}+\zeta_{42}^{13}q^{5}+\cdots$$
1960.1.cz.b $12$ $0.978$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-10})$$ None $$1$$ $$0$$ $$1$$ $$-2$$ $$q+\zeta_{42}^{16}q^{2}-\zeta_{42}^{11}q^{4}-\zeta_{42}^{13}q^{5}+\cdots$$
1960.2.a.a $1$ $15.651$ $$\Q$$ None None $$0$$ $$-2$$ $$-1$$ $$0$$ $-$ $$q-2q^{3}-q^{5}+q^{9}-q^{11}-3q^{13}+\cdots$$
1960.2.a.b $1$ $15.651$ $$\Q$$ None None $$0$$ $$-2$$ $$-1$$ $$0$$ $+$ $$q-2q^{3}-q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots$$
1960.2.a.c $1$ $15.651$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$0$$ $+$ $$q-q^{3}-q^{5}-2q^{9}-2q^{11}+4q^{13}+\cdots$$
1960.2.a.d $1$ $15.651$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$0$$ $-$ $$q-q^{3}+q^{5}-2q^{9}-5q^{11}-7q^{13}+\cdots$$
1960.2.a.e $1$ $15.651$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$0$$ $-$ $$q-q^{3}+q^{5}-2q^{9}+2q^{11}-q^{15}+\cdots$$
1960.2.a.f $1$ $15.651$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$0$$ $+$ $$q-q^{3}+q^{5}-2q^{9}+3q^{11}+q^{13}+\cdots$$
1960.2.a.g $1$ $15.651$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$0$$ $-$ $$q-q^{5}-3q^{9}+4q^{11}+2q^{13}-2q^{17}+\cdots$$
1960.2.a.h $1$ $15.651$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$0$$ $+$ $$q+q^{3}-q^{5}-2q^{9}-5q^{11}+7q^{13}+\cdots$$
1960.2.a.i $1$ $15.651$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$0$$ $-$ $$q+q^{3}-q^{5}-2q^{9}+2q^{11}-q^{15}+\cdots$$
1960.2.a.j $1$ $15.651$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$0$$ $-$ $$q+q^{3}-q^{5}-2q^{9}+3q^{11}-q^{13}+\cdots$$
1960.2.a.k $1$ $15.651$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$0$$ $+$ $$q+q^{3}+q^{5}-2q^{9}-5q^{11}-q^{13}+\cdots$$
1960.2.a.l $1$ $15.651$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$0$$ $+$ $$q+q^{3}+q^{5}-2q^{9}-2q^{11}-4q^{13}+\cdots$$
1960.2.a.m $1$ $15.651$ $$\Q$$ None None $$0$$ $$2$$ $$1$$ $$0$$ $-$ $$q+2q^{3}+q^{5}+q^{9}-q^{11}+3q^{13}+\cdots$$
1960.2.a.n $1$ $15.651$ $$\Q$$ None None $$0$$ $$2$$ $$1$$ $$0$$ $-$ $$q+2q^{3}+q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots$$
1960.2.a.o $1$ $15.651$ $$\Q$$ None None $$0$$ $$3$$ $$-1$$ $$0$$ $-$ $$q+3q^{3}-q^{5}+6q^{9}-5q^{11}+5q^{13}+\cdots$$
1960.2.a.p $2$ $15.651$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-2$$ $$2$$ $$0$$ $+$ $$q+(-1+\beta )q^{3}+q^{5}-2\beta q^{9}+(-2+\cdots)q^{11}+\cdots$$
1960.2.a.q $2$ $15.651$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-2$$ $$2$$ $$0$$ $+$ $$q+(-1+\beta )q^{3}+q^{5}-2\beta q^{9}-q^{11}+\cdots$$
1960.2.a.r $2$ $15.651$ $$\Q(\sqrt{17})$$ None None $$0$$ $$-1$$ $$-2$$ $$0$$ $+$ $$q-\beta q^{3}-q^{5}+(1+\beta )q^{9}-\beta q^{11}+(-2+\cdots)q^{13}+\cdots$$
1960.2.a.s $2$ $15.651$ $$\Q(\sqrt{33})$$ None None $$0$$ $$1$$ $$2$$ $$0$$ $-$ $$q+\beta q^{3}+q^{5}+(5+\beta )q^{9}+(4-\beta )q^{11}+\cdots$$
1960.2.a.t $2$ $15.651$ $$\Q(\sqrt{2})$$ None None $$0$$ $$2$$ $$-2$$ $$0$$ $+$ $$q+(1+\beta )q^{3}-q^{5}+2\beta q^{9}+(-2-2\beta )q^{11}+\cdots$$
1960.2.a.u $2$ $15.651$ $$\Q(\sqrt{2})$$ None None $$0$$ $$2$$ $$-2$$ $$0$$ $-$ $$q+(1+\beta )q^{3}-q^{5}+2\beta q^{9}-q^{11}+(1+\cdots)q^{13}+\cdots$$
1960.2.a.v $3$ $15.651$ 3.3.1944.1 None None $$0$$ $$0$$ $$-3$$ $$0$$ $-$ $$q+\beta _{1}q^{3}-q^{5}+(3+\beta _{1}+\beta _{2})q^{9}+(1+\cdots)q^{11}+\cdots$$
1960.2.a.w $3$ $15.651$ 3.3.1944.1 None None $$0$$ $$0$$ $$3$$ $$0$$ $-$ $$q-\beta _{1}q^{3}+q^{5}+(3+\beta _{1}+\beta _{2})q^{9}+(1+\cdots)q^{11}+\cdots$$
1960.2.a.x $4$ $15.651$ 4.4.16448.2 None None $$0$$ $$-2$$ $$-4$$ $$0$$ $+$ $$q-\beta _{1}q^{3}-q^{5}+(1+\beta _{1}+\beta _{2})q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots$$
1960.2.a.y $4$ $15.651$ 4.4.16448.2 None None $$0$$ $$2$$ $$4$$ $$0$$ $-$ $$q+\beta _{1}q^{3}+q^{5}+(1+\beta _{1}+\beta _{2})q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots$$
1960.2.g.a $2$ $15.651$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+iq^{3}+(-2-i)q^{5}+2q^{9}-q^{11}+\cdots$$
1960.2.g.b $2$ $15.651$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q+iq^{3}+(1-i)q^{5}-q^{9}-4q^{11}+2iq^{13}+\cdots$$
1960.2.g.c $6$ $15.651$ 6.0.5161984.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{5}q^{3}+(-\beta _{2}-\beta _{5})q^{5}+(-1-\beta _{1}+\cdots)q^{9}+\cdots$$
1960.2.g.d $8$ $15.651$ 8.0.$$\cdots$$.3 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{5}q^{3}-\beta _{6}q^{5}-\beta _{2}q^{9}+(1+\beta _{2}+\cdots)q^{11}+\cdots$$
1960.2.g.e $12$ $15.651$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}-\beta _{4}q^{5}+(-1+\beta _{2})q^{9}+\beta _{3}q^{11}+\cdots$$
1960.2.g.f $12$ $15.651$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}-\beta _{5}q^{5}+(-1+\beta _{2})q^{9}+\beta _{3}q^{11}+\cdots$$
1960.2.g.g $20$ $15.651$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{17}q^{3}-\beta _{16}q^{5}+(-1+\beta _{1})q^{9}+\cdots$$
1960.2.q.a $2$ $15.651$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-3$$ $$1$$ $$0$$ $$q+(-3+3\zeta_{6})q^{3}+\zeta_{6}q^{5}-6\zeta_{6}q^{9}+\cdots$$
1960.2.q.b $2$ $15.651$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-2$$ $$-1$$ $$0$$ $$q+(-2+2\zeta_{6})q^{3}-\zeta_{6}q^{5}-\zeta_{6}q^{9}+\cdots$$
1960.2.q.c $2$ $15.651$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-2$$ $$-1$$ $$0$$ $$q+(-2+2\zeta_{6})q^{3}-\zeta_{6}q^{5}-\zeta_{6}q^{9}+\cdots$$