Results (1-50 of 175 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
140.1.h.a $1$ $0.070$ $$\Q$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$-1$$ $$1$$ $$1$$ $$q-q^{3}+q^{5}+q^{7}-q^{11}-q^{13}-q^{15}+\cdots$$
140.1.h.b $1$ $0.070$ $$\Q$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$1$$ $$-1$$ $$-1$$ $$q+q^{3}-q^{5}-q^{7}-q^{11}+q^{13}-q^{15}+\cdots$$
140.1.p.a $2$ $0.070$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-5})$$ None $$-1$$ $$1$$ $$-1$$ $$-1$$ $$q-\zeta_{6}q^{2}-\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}+\cdots$$
140.1.p.b $2$ $0.070$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-5})$$ None $$1$$ $$-1$$ $$-1$$ $$1$$ $$q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}+\cdots$$
140.2.a.a $1$ $1.118$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$1$$ $-$ $$q+q^{3}+q^{5}+q^{7}-2q^{9}+3q^{11}-q^{13}+\cdots$$
140.2.a.b $1$ $1.118$ $$\Q$$ None None $$0$$ $$3$$ $$-1$$ $$-1$$ $-$ $$q+3q^{3}-q^{5}-q^{7}+6q^{9}-5q^{11}+\cdots$$
140.2.c.a $4$ $1.118$ $$\Q(\sqrt{2}, \sqrt{-5})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{2}+(-2\beta _{1}-\beta _{2})q^{3}+2q^{4}+\cdots$$
140.2.c.b $16$ $1.118$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{3}q^{2}-\beta _{9}q^{3}+(-1+\beta _{6})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$$
140.2.e.a $2$ $1.118$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+3iq^{3}+(-2+i)q^{5}-iq^{7}-6q^{9}+\cdots$$
140.2.e.b $2$ $1.118$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q+(1+2i)q^{5}+iq^{7}+3q^{9}-4iq^{13}+\cdots$$
140.2.g.a $4$ $1.118$ $$\Q(\zeta_{12})$$ None None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{12}+\zeta_{12}^{2})q^{2}+(\zeta_{12}-\zeta_{12}^{2}+\cdots)q^{3}+\cdots$$
140.2.g.b $4$ $1.118$ $$\Q(\zeta_{12})$$ None None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{12}+\zeta_{12}^{2})q^{2}+(-\zeta_{12}+\zeta_{12}^{2}+\cdots)q^{3}+\cdots$$
140.2.g.c $8$ $1.118$ 8.0.342102016.5 None None $$2$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{7}q^{2}+(-\beta _{4}+\beta _{6})q^{3}+(-\beta _{3}+\beta _{5}+\cdots)q^{4}+\cdots$$
140.2.i.a $2$ $1.118$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$1$$ $$5$$ $$q+(-1+\zeta_{6})q^{3}+\zeta_{6}q^{5}+(3-\zeta_{6})q^{7}+\cdots$$
140.2.i.b $2$ $1.118$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$3$$ $$1$$ $$1$$ $$q+(3-3\zeta_{6})q^{3}+\zeta_{6}q^{5}+(-1+3\zeta_{6})q^{7}+\cdots$$
140.2.k.a $36$ $1.118$ None None $$0$$ $$0$$ $$0$$ $$0$$
140.2.m.a $8$ $1.118$ 8.0.$$\cdots$$.3 None None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+\beta _{1}q^{3}+(-\beta _{2}+\beta _{6})q^{5}+(\beta _{4}-\beta _{7})q^{7}+\cdots$$
140.2.o.a $32$ $1.118$ None None $$2$$ $$0$$ $$0$$ $$0$$
140.2.q.a $4$ $1.118$ $$\Q(\sqrt{-3}, \sqrt{-19})$$ None None $$0$$ $$-6$$ $$1$$ $$-3$$ $$q+(-1-\beta _{2})q^{3}+\beta _{1}q^{5}+(-\beta _{2}+\beta _{3})q^{7}+\cdots$$
140.2.q.b $4$ $1.118$ $$\Q(\sqrt{-3}, \sqrt{-19})$$ None None $$0$$ $$6$$ $$-2$$ $$3$$ $$q+(2-\beta _{2})q^{3}+(-1+\beta _{1}-\beta _{3})q^{5}+\cdots$$
140.2.s.a $8$ $1.118$ 8.0.3317760000.3 $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{5}q^{2}+(\beta _{1}-\beta _{5})q^{3}-2\beta _{4}q^{4}-\beta _{7}q^{5}+\cdots$$
140.2.s.b $32$ $1.118$ None None $$0$$ $$0$$ $$-6$$ $$0$$
140.2.u.a $16$ $1.118$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$6$$ $$2$$ $$q+(2\beta _{1}+\beta _{2}+\beta _{10}-\beta _{11}+\beta _{13})q^{3}+\cdots$$
140.2.w.a $8$ $1.118$ 8.0.$$\cdots$$.9 None None $$-4$$ $$0$$ $$4$$ $$0$$ $$q+(-1+\beta _{2}+\beta _{4})q^{2}+\beta _{1}q^{3}+(-2\beta _{2}+\cdots)q^{4}+\cdots$$
140.2.w.b $72$ $1.118$ None None $$2$$ $$0$$ $$-8$$ $$0$$
140.3.b.a $24$ $3.815$ None None $$2$$ $$0$$ $$0$$ $$0$$
140.3.d.a $4$ $3.815$ $$\Q(\sqrt{-5}, \sqrt{-13})$$ None None $$0$$ $$0$$ $$0$$ $$-6$$ $$q+\beta _{1}q^{3}+(\beta _{1}-\beta _{2})q^{5}+(-2+\beta _{1}+\cdots)q^{7}+\cdots$$
140.3.f.a $36$ $3.815$ None None $$0$$ $$0$$ $$4$$ $$0$$
140.3.h.a $2$ $3.815$ $$\Q(\sqrt{105})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$-1$$ $$-10$$ $$14$$ $$q-\beta q^{3}-5q^{5}+7q^{7}+(17+\beta )q^{9}+\cdots$$
140.3.h.b $2$ $3.815$ $$\Q(\sqrt{105})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$1$$ $$10$$ $$-14$$ $$q+\beta q^{3}+5q^{5}-7q^{7}+(17+\beta )q^{9}+\cdots$$
140.3.h.c $4$ $3.815$ $$\Q(\sqrt{2}, \sqrt{-41})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{3}+(\beta _{1}-\beta _{2})q^{5}+(-2\beta _{2}+\beta _{3})q^{7}+\cdots$$
140.3.j.a $88$ $3.815$ None None $$-4$$ $$0$$ $$0$$ $$0$$
140.3.l.a $4$ $3.815$ $$\Q(i, \sqrt{14})$$ None None $$0$$ $$4$$ $$-12$$ $$0$$ $$q+(1+\beta _{1}+\beta _{2})q^{3}+(-3+\beta _{1}+3\beta _{2}+\cdots)q^{5}+\cdots$$
140.3.l.b $8$ $3.815$ 8.0.$$\cdots$$.32 None None $$0$$ $$-8$$ $$20$$ $$0$$ $$q+(-1-\beta _{2}-\beta _{3}-\beta _{5})q^{3}+(3-\beta _{1}+\cdots)q^{5}+\cdots$$
140.3.n.a $16$ $3.815$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$3$$ $$0$$ $$q+\beta _{1}q^{3}-\beta _{11}q^{5}+\beta _{15}q^{7}+(-2+\cdots)q^{9}+\cdots$$
140.3.p.a $4$ $3.815$ $$\Q(\sqrt{-3}, \sqrt{-5})$$ $$\Q(\sqrt{-5})$$ None $$-4$$ $$-4$$ $$10$$ $$-4$$ $$q+(-2+2\beta _{1})q^{2}+(-2\beta _{1}+\beta _{2})q^{3}+\cdots$$
140.3.p.b $4$ $3.815$ $$\Q(\sqrt{-3}, \sqrt{-5})$$ $$\Q(\sqrt{-5})$$ None $$4$$ $$4$$ $$10$$ $$4$$ $$q+(2-2\beta _{1})q^{2}+(2\beta _{1}-\beta _{2})q^{3}-4\beta _{1}q^{4}+\cdots$$
140.3.p.c $80$ $3.815$ None None $$0$$ $$0$$ $$-22$$ $$0$$
140.3.r.a $12$ $3.815$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$-6$$ $$0$$ $$14$$ $$q-\beta _{2}q^{3}+\beta _{7}q^{5}+(1-\beta _{2}-\beta _{3}-\beta _{4}+\cdots)q^{7}+\cdots$$
140.3.t.a $64$ $3.815$ None None $$2$$ $$0$$ $$0$$ $$0$$
140.3.v.a $32$ $3.815$ None None $$0$$ $$0$$ $$-2$$ $$14$$
140.3.x.a $176$ $3.815$ None None $$-2$$ $$0$$ $$-12$$ $$0$$
140.4.a.a $1$ $8.260$ $$\Q$$ None None $$0$$ $$-5$$ $$-5$$ $$7$$ $+$ $$q-5q^{3}-5q^{5}+7q^{7}-2q^{9}+15q^{11}+\cdots$$
140.4.a.b $1$ $8.260$ $$\Q$$ None None $$0$$ $$-5$$ $$5$$ $$7$$ $-$ $$q-5q^{3}+5q^{5}+7q^{7}-2q^{9}-15q^{11}+\cdots$$
140.4.a.c $1$ $8.260$ $$\Q$$ None None $$0$$ $$-4$$ $$5$$ $$-7$$ $+$ $$q-4q^{3}+5q^{5}-7q^{7}-11q^{9}+68q^{11}+\cdots$$
140.4.a.d $1$ $8.260$ $$\Q$$ None None $$0$$ $$1$$ $$-5$$ $$-7$$ $-$ $$q+q^{3}-5q^{5}-7q^{7}-26q^{9}-7q^{11}+\cdots$$
140.4.a.e $1$ $8.260$ $$\Q$$ None None $$0$$ $$8$$ $$-5$$ $$7$$ $+$ $$q+8q^{3}-5q^{5}+7q^{7}+37q^{9}+28q^{11}+\cdots$$
140.4.a.f $1$ $8.260$ $$\Q$$ None None $$0$$ $$9$$ $$5$$ $$-7$$ $+$ $$q+9q^{3}+5q^{5}-7q^{7}+54q^{9}+55q^{11}+\cdots$$
140.4.c.a $4$ $8.260$ $$\Q(\sqrt{2}, \sqrt{-5})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-2\beta _{2}q^{2}+(2\beta _{1}+\beta _{2})q^{3}+8q^{4}-5\beta _{3}q^{5}+\cdots$$
140.4.c.b $64$ $8.260$ None None $$0$$ $$0$$ $$0$$ $$0$$