## Results (1-50 of 124 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1248.1.b.a $4$ $0.623$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{2}q^{3}+(-\zeta_{8}-\zeta_{8}^{3})q^{5}-q^{9}+\cdots$$
1248.1.l.a $4$ $0.623$ $$\Q(\zeta_{8})$$ None $$\Q(\sqrt{39})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{2}q^{3}+(\zeta_{8}-\zeta_{8}^{3})q^{5}+(\zeta_{8}+\zeta_{8}^{3}+\cdots)q^{7}+\cdots$$
1248.1.bs.a $8$ $0.623$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{5}q^{3}-\zeta_{24}^{6}q^{5}+(\zeta_{24}+\zeta_{24}^{7}+\cdots)q^{7}+\cdots$$
1248.1.cm.a $16$ $0.623$ $$\Q(\zeta_{32})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{32}^{3}q^{2}+\zeta_{32}^{10}q^{3}+\zeta_{32}^{6}q^{4}+\cdots$$
1248.2.a.a $1$ $9.965$ $$\Q$$ None None $$0$$ $$-1$$ $$-2$$ $$-2$$ $+$ $$q-q^{3}-2q^{5}-2q^{7}+q^{9}+6q^{11}+\cdots$$
1248.2.a.b $1$ $9.965$ $$\Q$$ None None $$0$$ $$-1$$ $$-2$$ $$0$$ $+$ $$q-q^{3}-2q^{5}+q^{9}+4q^{11}+q^{13}+\cdots$$
1248.2.a.c $1$ $9.965$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-2$$ $+$ $$q-q^{3}-2q^{7}+q^{9}+q^{13}+2q^{17}+\cdots$$
1248.2.a.d $1$ $9.965$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$2$$ $-$ $$q-q^{3}+2q^{7}+q^{9}+4q^{11}+q^{13}+\cdots$$
1248.2.a.e $1$ $9.965$ $$\Q$$ None None $$0$$ $$-1$$ $$2$$ $$-2$$ $-$ $$q-q^{3}+2q^{5}-2q^{7}+q^{9}+2q^{11}+\cdots$$
1248.2.a.f $1$ $9.965$ $$\Q$$ None None $$0$$ $$1$$ $$-2$$ $$0$$ $+$ $$q+q^{3}-2q^{5}+q^{9}-4q^{11}+q^{13}+\cdots$$
1248.2.a.g $1$ $9.965$ $$\Q$$ None None $$0$$ $$1$$ $$-2$$ $$2$$ $+$ $$q+q^{3}-2q^{5}+2q^{7}+q^{9}-6q^{11}+\cdots$$
1248.2.a.h $1$ $9.965$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$-2$$ $+$ $$q+q^{3}-2q^{7}+q^{9}-4q^{11}+q^{13}+\cdots$$
1248.2.a.i $1$ $9.965$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$2$$ $-$ $$q+q^{3}+2q^{7}+q^{9}+q^{13}+2q^{17}+\cdots$$
1248.2.a.j $1$ $9.965$ $$\Q$$ None None $$0$$ $$1$$ $$2$$ $$2$$ $-$ $$q+q^{3}+2q^{5}+2q^{7}+q^{9}-2q^{11}+\cdots$$
1248.2.a.k $2$ $9.965$ $$\Q(\sqrt{5})$$ None None $$0$$ $$-2$$ $$-2$$ $$6$$ $-$ $$q-q^{3}+(-1-\beta )q^{5}+(3-\beta )q^{7}+q^{9}+\cdots$$
1248.2.a.l $2$ $9.965$ $$\Q(\sqrt{5})$$ None None $$0$$ $$-2$$ $$2$$ $$-2$$ $+$ $$q-q^{3}+(1+\beta )q^{5}+(-1-\beta )q^{7}+q^{9}+\cdots$$
1248.2.a.m $2$ $9.965$ $$\Q(\sqrt{5})$$ None None $$0$$ $$2$$ $$-2$$ $$-6$$ $+$ $$q+q^{3}+(-1-\beta )q^{5}+(-3+\beta )q^{7}+\cdots$$
1248.2.a.n $2$ $9.965$ $$\Q(\sqrt{5})$$ None None $$0$$ $$2$$ $$2$$ $$2$$ $-$ $$q+q^{3}+(1+\beta )q^{5}+(1+\beta )q^{7}+q^{9}+\cdots$$
1248.2.a.o $3$ $9.965$ 3.3.148.1 None None $$0$$ $$-3$$ $$2$$ $$0$$ $-$ $$q-q^{3}+(1+\beta _{1})q^{5}+\beta _{2}q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots$$
1248.2.a.p $3$ $9.965$ 3.3.148.1 None None $$0$$ $$3$$ $$2$$ $$0$$ $-$ $$q+q^{3}+(1+\beta _{1})q^{5}-\beta _{2}q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots$$
1248.2.c.a $6$ $9.965$ 6.0.153664.1 None None $$0$$ $$-6$$ $$0$$ $$0$$ $$q-q^{3}+\beta _{1}q^{5}+(-\beta _{1}+\beta _{2})q^{7}+q^{9}+\cdots$$
1248.2.c.b $6$ $9.965$ 6.0.153664.1 None None $$0$$ $$6$$ $$0$$ $$0$$ $$q+q^{3}+\beta _{1}q^{5}+(\beta _{1}-\beta _{2})q^{7}+q^{9}+\cdots$$
1248.2.c.c $8$ $9.965$ 8.0.134560000.4 None None $$0$$ $$-8$$ $$0$$ $$0$$ $$q-q^{3}+\beta _{1}q^{5}-\beta _{6}q^{7}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots$$
1248.2.c.d $8$ $9.965$ 8.0.134560000.4 None None $$0$$ $$8$$ $$0$$ $$0$$ $$q+q^{3}+\beta _{1}q^{5}+\beta _{6}q^{7}+q^{9}+(\beta _{1}+\beta _{3}+\cdots)q^{11}+\cdots$$
1248.2.d.a $4$ $9.965$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{2}q^{3}+(\zeta_{8}-\zeta_{8}^{2})q^{7}+(1+\zeta_{8}^{3})q^{9}+\cdots$$
1248.2.d.b $8$ $9.965$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{6}q^{3}+\zeta_{24}^{2}q^{5}+\zeta_{24}^{5}q^{7}+\cdots$$
1248.2.d.c $16$ $9.965$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{5}q^{3}-\beta _{4}q^{5}-\beta _{2}q^{7}+(-1-\beta _{4}+\cdots)q^{9}+\cdots$$
1248.2.d.d $20$ $9.965$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{4}q^{3}+\beta _{15}q^{5}+\beta _{7}q^{7}-\beta _{16}q^{9}+\cdots$$
1248.2.g.a $8$ $9.965$ $$\Q(\zeta_{20})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+\zeta_{20}q^{3}+(-\zeta_{20}+\zeta_{20}^{2})q^{5}+(-1+\cdots)q^{7}+\cdots$$
1248.2.g.b $16$ $9.965$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+\beta _{6}q^{3}+\beta _{12}q^{5}-\beta _{5}q^{7}-q^{9}+\beta _{10}q^{11}+\cdots$$
1248.2.h.a $8$ $9.965$ 8.0.$$\cdots$$.21 $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{3}-\beta _{4}q^{5}+3q^{9}+(-\beta _{3}+\beta _{6}+\cdots)q^{11}+\cdots$$
1248.2.h.b $12$ $9.965$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ $$\Q(\sqrt{-26})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{5}q^{3}+\beta _{9}q^{5}+(-\beta _{1}+\beta _{11})q^{7}+\cdots$$
1248.2.h.c $32$ $9.965$ None None $$0$$ $$4$$ $$0$$ $$0$$
1248.2.j.a $48$ $9.965$ None None $$0$$ $$0$$ $$0$$ $$0$$
1248.2.m.a $2$ $9.965$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q-iq^{3}-2q^{5}-q^{9}+4q^{11}+(3-2i)q^{13}+\cdots$$
1248.2.m.b $2$ $9.965$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+iq^{3}+2q^{5}-q^{9}-4q^{11}+(-3+\cdots)q^{13}+\cdots$$
1248.2.m.c $24$ $9.965$ None None $$0$$ $$0$$ $$0$$ $$0$$
1248.2.n.a $4$ $9.965$ $$\Q(\zeta_{8})$$ None None $$0$$ $$-4$$ $$-8$$ $$8$$ $$q+(-1-\zeta_{8}^{2})q^{3}+(-2+\zeta_{8}^{3})q^{5}+\cdots$$
1248.2.n.b $4$ $9.965$ $$\Q(\zeta_{8})$$ None None $$0$$ $$-4$$ $$8$$ $$-8$$ $$q+(-1+\zeta_{8}^{2})q^{3}+(2+\zeta_{8}^{3})q^{5}+(-2+\cdots)q^{7}+\cdots$$
1248.2.n.c $4$ $9.965$ $$\Q(\zeta_{8})$$ None None $$0$$ $$4$$ $$-8$$ $$-8$$ $$q+(1+\zeta_{8}^{2})q^{3}+(-2+\zeta_{8}^{3})q^{5}+(-2+\cdots)q^{7}+\cdots$$
1248.2.n.d $4$ $9.965$ $$\Q(\zeta_{8})$$ None None $$0$$ $$4$$ $$8$$ $$8$$ $$q+(1-\zeta_{8}^{2})q^{3}+(2-\zeta_{8}^{3})q^{5}+(2-\zeta_{8}^{3})q^{7}+\cdots$$
1248.2.n.e $40$ $9.965$ None None $$0$$ $$0$$ $$0$$ $$0$$
1248.2.q.a $2$ $9.965$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$0$$ $$1$$ $$q+(-1+\zeta_{6})q^{3}+\zeta_{6}q^{7}-\zeta_{6}q^{9}+(6+\cdots)q^{11}+\cdots$$
1248.2.q.b $2$ $9.965$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$6$$ $$2$$ $$q+(-1+\zeta_{6})q^{3}+3q^{5}+2\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots$$
1248.2.q.c $2$ $9.965$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$8$$ $$-3$$ $$q+(-1+\zeta_{6})q^{3}+4q^{5}-3\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots$$
1248.2.q.d $2$ $9.965$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$0$$ $$-1$$ $$q+(1-\zeta_{6})q^{3}-\zeta_{6}q^{7}-\zeta_{6}q^{9}+(-6+\cdots)q^{11}+\cdots$$
1248.2.q.e $2$ $9.965$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$6$$ $$-2$$ $$q+(1-\zeta_{6})q^{3}+3q^{5}-2\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots$$
1248.2.q.f $2$ $9.965$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$8$$ $$3$$ $$q+(1-\zeta_{6})q^{3}+4q^{5}+3\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots$$
1248.2.q.g $4$ $9.965$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$0$$ $$-2$$ $$-4$$ $$0$$ $$q+(-1-\beta _{2})q^{3}+(-1+\beta _{3})q^{5}+(\beta _{1}+\cdots)q^{7}+\cdots$$
1248.2.q.h $4$ $9.965$ $$\Q(\sqrt{-3}, \sqrt{17})$$ None None $$0$$ $$-2$$ $$-2$$ $$-5$$ $$q+(-1+\beta _{2})q^{3}+\beta _{3}q^{5}+(\beta _{1}-3\beta _{2}+\cdots)q^{7}+\cdots$$