## Results (1-50 of 137 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1620.1.f.a $1$ $0.808$ $$\Q$$ $$\Q(\sqrt{-5})$$ None $$-1$$ $$0$$ $$-1$$ $$-1$$ $$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots$$
1620.1.f.b $1$ $0.808$ $$\Q$$ $$\Q(\sqrt{-5})$$ None $$-1$$ $$0$$ $$1$$ $$1$$ $$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$$
1620.1.f.c $1$ $0.808$ $$\Q$$ $$\Q(\sqrt{-5})$$ None $$1$$ $$0$$ $$-1$$ $$1$$ $$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots$$
1620.1.f.d $1$ $0.808$ $$\Q$$ $$\Q(\sqrt{-5})$$ None $$1$$ $$0$$ $$1$$ $$-1$$ $$q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots$$
1620.1.f.e $4$ $0.808$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{3}q^{2}-q^{4}-\zeta_{12}q^{5}-\zeta_{12}^{3}q^{8}+\cdots$$
1620.1.l.a $2$ $0.808$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+iq^{5}+(-1+i)q^{7}-q^{11}+(-1+\cdots)q^{17}+\cdots$$
1620.1.l.b $2$ $0.808$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-iq^{5}+(-1+i)q^{7}+q^{11}+(1-i+\cdots)q^{17}+\cdots$$
1620.1.m.a $8$ $0.808$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{9}q^{2}-\zeta_{24}^{6}q^{4}-\zeta_{24}q^{5}+\zeta_{24}^{3}q^{8}+\cdots$$
1620.1.p.a $4$ $0.808$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{3}q^{2}-q^{4}+\zeta_{12}^{5}q^{5}+\zeta_{12}^{3}q^{8}+\cdots$$
1620.1.p.b $4$ $0.808$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-15})$$ $$\Q(\sqrt{15})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{5}q^{5}+\zeta_{12}^{3}q^{8}+\cdots$$
1620.1.p.c $4$ $0.808$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}-\zeta_{12}q^{5}-\zeta_{12}^{3}q^{8}+\cdots$$
1620.1.p.d $4$ $0.808$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{4}+\zeta_{12}^{5}q^{5}+\cdots$$
1620.1.p.e $4$ $0.808$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{3}q^{5}+\zeta_{12}^{3}q^{8}+\cdots$$
1620.1.v.a $4$ $0.808$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$q+\zeta_{12}^{5}q^{5}+(-\zeta_{12}-\zeta_{12}^{4})q^{7}+\zeta_{12}^{4}q^{11}+\cdots$$
1620.1.v.b $4$ $0.808$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$q-\zeta_{12}^{5}q^{5}+(-\zeta_{12}-\zeta_{12}^{4})q^{7}-\zeta_{12}^{4}q^{11}+\cdots$$
1620.1.w.a $8$ $0.808$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{5}q^{2}+\zeta_{24}^{10}q^{4}-\zeta_{24}^{9}q^{5}+\cdots$$
1620.1.w.b $8$ $0.808$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{5}q^{2}+\zeta_{24}^{10}q^{4}-\zeta_{24}q^{5}+\cdots$$
1620.1.w.c $8$ $0.808$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{5}q^{2}+\zeta_{24}^{10}q^{4}-\zeta_{24}^{5}q^{5}+\cdots$$
1620.1.bf.a $6$ $0.808$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$-3$$ $$q-\zeta_{18}^{2}q^{2}+\zeta_{18}^{4}q^{4}+\zeta_{18}q^{5}+(\zeta_{18}^{4}+\cdots)q^{7}+\cdots$$
1620.1.bf.b $6$ $0.808$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$3$$ $$q+\zeta_{18}^{2}q^{2}+\zeta_{18}^{4}q^{4}+\zeta_{18}q^{5}+(-\zeta_{18}^{4}+\cdots)q^{7}+\cdots$$
1620.1.bp.a $18$ $0.808$ $$\Q(\zeta_{54})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{54}^{25}q^{2}-\zeta_{54}^{26}q^{3}-\zeta_{54}^{23}q^{4}+\cdots$$
1620.1.bp.b $18$ $0.808$ $$\Q(\zeta_{54})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{54}^{25}q^{2}+\zeta_{54}^{26}q^{3}-\zeta_{54}^{23}q^{4}+\cdots$$
1620.2.a.a $1$ $12.936$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$-4$$ $-$ $$q-q^{5}-4q^{7}-3q^{11}-4q^{13}+5q^{19}+\cdots$$
1620.2.a.b $1$ $12.936$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$-1$$ $+$ $$q-q^{5}-q^{7}-4q^{13}+6q^{17}+2q^{19}+\cdots$$
1620.2.a.c $1$ $12.936$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$2$$ $-$ $$q-q^{5}+2q^{7}+3q^{11}-4q^{13}+6q^{17}+\cdots$$
1620.2.a.d $1$ $12.936$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-4$$ $+$ $$q+q^{5}-4q^{7}+3q^{11}-4q^{13}+5q^{19}+\cdots$$
1620.2.a.e $1$ $12.936$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-1$$ $+$ $$q+q^{5}-q^{7}-4q^{13}-6q^{17}+2q^{19}+\cdots$$
1620.2.a.f $1$ $12.936$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$2$$ $+$ $$q+q^{5}+2q^{7}-3q^{11}-4q^{13}-6q^{17}+\cdots$$
1620.2.a.g $2$ $12.936$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$-2$$ $$-2$$ $+$ $$q-q^{5}+(-1+\beta )q^{7}-\beta q^{11}+(2-2\beta )q^{13}+\cdots$$
1620.2.a.h $2$ $12.936$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$2$$ $$-2$$ $-$ $$q+q^{5}+(-1+\beta )q^{7}+\beta q^{11}+(2-2\beta )q^{13}+\cdots$$
1620.2.a.i $3$ $12.936$ 3.3.564.1 None None $$0$$ $$0$$ $$-3$$ $$3$$ $-$ $$q-q^{5}+(1-\beta _{1})q^{7}-\beta _{2}q^{11}+(2+\beta _{2})q^{13}+\cdots$$
1620.2.a.j $3$ $12.936$ 3.3.564.1 None None $$0$$ $$0$$ $$3$$ $$3$$ $-$ $$q+q^{5}+(1-\beta _{1})q^{7}+\beta _{2}q^{11}+(2+\beta _{2})q^{13}+\cdots$$
1620.2.d.a $2$ $12.936$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+(-1-i)q^{5}+iq^{7}+q^{11}-iq^{17}+\cdots$$
1620.2.d.b $2$ $12.936$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q+(1+i)q^{5}+iq^{7}-q^{11}+iq^{17}+\cdots$$
1620.2.d.c $6$ $12.936$ 6.0.301925376.2 None None $$0$$ $$0$$ $$-1$$ $$0$$ $$q+\beta _{3}q^{5}+(\beta _{1}+\beta _{3}-\beta _{4})q^{7}-\beta _{2}q^{11}+\cdots$$
1620.2.d.d $6$ $12.936$ 6.0.301925376.2 None None $$0$$ $$0$$ $$1$$ $$0$$ $$q-\beta _{3}q^{5}+(\beta _{1}+\beta _{3}-\beta _{4})q^{7}+\beta _{2}q^{11}+\cdots$$
1620.2.d.e $8$ $12.936$ 8.0.$$\cdots$$.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{5}-\beta _{2}q^{7}+(-\beta _{1}+\beta _{4}+\beta _{6}+\cdots)q^{11}+\cdots$$
1620.2.e.a $48$ $12.936$ None None $$0$$ $$0$$ $$0$$ $$0$$
1620.2.e.b $48$ $12.936$ None None $$0$$ $$0$$ $$0$$ $$0$$
1620.2.i.a $2$ $12.936$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-1$$ $$-2$$ $$q-\zeta_{6}q^{5}+(-2+2\zeta_{6})q^{7}-2\zeta_{6}q^{13}+\cdots$$
1620.2.i.b $2$ $12.936$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-1$$ $$-2$$ $$q-\zeta_{6}q^{5}+(-2+2\zeta_{6})q^{7}-2\zeta_{6}q^{13}+\cdots$$
1620.2.i.c $2$ $12.936$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-1$$ $$-2$$ $$q-\zeta_{6}q^{5}+(-2+2\zeta_{6})q^{7}+(3-3\zeta_{6})q^{11}+\cdots$$
1620.2.i.d $2$ $12.936$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-1$$ $$1$$ $$q-\zeta_{6}q^{5}+(1-\zeta_{6})q^{7}+(-6+6\zeta_{6})q^{11}+\cdots$$
1620.2.i.e $2$ $12.936$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-1$$ $$4$$ $$q-\zeta_{6}q^{5}+(4-4\zeta_{6})q^{7}+(-3+3\zeta_{6})q^{11}+\cdots$$
1620.2.i.f $2$ $12.936$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-1$$ $$4$$ $$q-\zeta_{6}q^{5}+(4-4\zeta_{6})q^{7}+(6-6\zeta_{6})q^{11}+\cdots$$
1620.2.i.g $2$ $12.936$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$1$$ $$-2$$ $$q+\zeta_{6}q^{5}+(-2+2\zeta_{6})q^{7}+(-3+3\zeta_{6})q^{11}+\cdots$$
1620.2.i.h $2$ $12.936$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$1$$ $$-2$$ $$q+\zeta_{6}q^{5}+(-2+2\zeta_{6})q^{7}-2\zeta_{6}q^{13}+\cdots$$
1620.2.i.i $2$ $12.936$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$1$$ $$-2$$ $$q+\zeta_{6}q^{5}+(-2+2\zeta_{6})q^{7}-2\zeta_{6}q^{13}+\cdots$$
1620.2.i.j $2$ $12.936$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$1$$ $$1$$ $$q+\zeta_{6}q^{5}+(1-\zeta_{6})q^{7}+(6-6\zeta_{6})q^{11}+\cdots$$
1620.2.i.k $2$ $12.936$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$1$$ $$4$$ $$q+\zeta_{6}q^{5}+(4-4\zeta_{6})q^{7}+(-6+6\zeta_{6})q^{11}+\cdots$$