Results (1-50 of 83 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1064.1.p.a $2$ $0.531$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-266})$$ None $$-2$$ $$-1$$ $$1$$ $$-2$$ $$q-q^{2}+(-1+\beta )q^{3}+q^{4}+\beta q^{5}+(1+\cdots)q^{6}+\cdots$$
1064.1.p.b $2$ $0.531$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-266})$$ None $$-2$$ $$1$$ $$-1$$ $$2$$ $$q-q^{2}+(1-\beta )q^{3}+q^{4}-\beta q^{5}+(-1+\cdots)q^{6}+\cdots$$
1064.1.p.c $2$ $0.531$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-266})$$ None $$2$$ $$-1$$ $$-1$$ $$2$$ $$q+q^{2}+(-1+\beta )q^{3}+q^{4}-\beta q^{5}+(-1+\cdots)q^{6}+\cdots$$
1064.1.p.d $2$ $0.531$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-266})$$ None $$2$$ $$1$$ $$1$$ $$-2$$ $$q+q^{2}+(1-\beta )q^{3}+q^{4}+\beta q^{5}+(1-\beta )q^{6}+\cdots$$
1064.1.bg.a $2$ $0.531$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-14})$$ None $$-1$$ $$-2$$ $$1$$ $$2$$ $$q-\zeta_{6}q^{2}-\zeta_{6}q^{3}+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{5}+\cdots$$
1064.1.bg.b $2$ $0.531$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-14})$$ None $$-1$$ $$2$$ $$-1$$ $$2$$ $$q-\zeta_{6}q^{2}+\zeta_{6}q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}+\cdots$$
1064.1.bg.c $4$ $0.531$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-14})$$ None $$2$$ $$0$$ $$0$$ $$-4$$ $$q-\zeta_{12}^{4}q^{2}-\zeta_{12}^{2}q^{4}+(-\zeta_{12}^{3}-\zeta_{12}^{5}+\cdots)q^{5}+\cdots$$
1064.1.br.a $6$ $0.531$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-38})$$ None $$-3$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{18}^{6}q^{2}+(-\zeta_{18}-\zeta_{18}^{5})q^{3}-\zeta_{18}^{3}q^{4}+\cdots$$
1064.1.br.b $6$ $0.531$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-38})$$ None $$3$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{18}^{6}q^{2}+(-\zeta_{18}^{2}-\zeta_{18}^{4})q^{3}+\cdots$$
1064.1.br.c $8$ $0.531$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q-\zeta_{24}^{5}q^{2}+(-\zeta_{24}-\zeta_{24}^{7})q^{3}+\zeta_{24}^{10}q^{4}+\cdots$$
1064.1.cd.a $4$ $0.531$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+(\beta _{1}-\beta _{3})q^{3}-\beta _{2}q^{7}+(1-\beta _{2})q^{9}+\cdots$$
1064.1.ef.a $6$ $0.531$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$-3$$ $$-3$$ $$q-\zeta_{18}^{5}q^{2}-\zeta_{18}^{2}q^{3}-\zeta_{18}q^{4}+(-\zeta_{18}^{3}+\cdots)q^{5}+\cdots$$
1064.1.ef.b $6$ $0.531$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$3$$ $$-3$$ $$q-\zeta_{18}^{5}q^{2}+\zeta_{18}^{2}q^{3}-\zeta_{18}q^{4}+(\zeta_{18}^{3}+\cdots)q^{5}+\cdots$$
1064.1.ef.c $12$ $0.531$ $$\Q(\zeta_{36})$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$0$$ $$6$$ $$q+\zeta_{36}^{10}q^{2}+(-\zeta_{36}-\zeta_{36}^{7})q^{3}+\cdots$$
1064.2.a.a $2$ $8.496$ $$\Q(\sqrt{5})$$ None None $$0$$ $$-3$$ $$0$$ $$2$$ $+$ $$q+(-1-\beta )q^{3}+(1-2\beta )q^{5}+q^{7}+(-1+\cdots)q^{9}+\cdots$$
1064.2.a.b $2$ $8.496$ $$\Q(\sqrt{13})$$ None None $$0$$ $$-1$$ $$-2$$ $$-2$$ $+$ $$q-\beta q^{3}-q^{5}-q^{7}+\beta q^{9}+(-1+\beta )q^{11}+\cdots$$
1064.2.a.c $2$ $8.496$ $$\Q(\sqrt{5})$$ None None $$0$$ $$-1$$ $$0$$ $$2$$ $+$ $$q-\beta q^{3}+(-1+2\beta )q^{5}+q^{7}+(-2+\cdots)q^{9}+\cdots$$
1064.2.a.d $2$ $8.496$ $$\Q(\sqrt{5})$$ None None $$0$$ $$1$$ $$-2$$ $$-2$$ $+$ $$q+\beta q^{3}-q^{5}-q^{7}+(-2+\beta )q^{9}+(1+\cdots)q^{11}+\cdots$$
1064.2.a.e $2$ $8.496$ $$\Q(\sqrt{5})$$ None None $$0$$ $$3$$ $$5$$ $$2$$ $-$ $$q+(1+\beta )q^{3}+(2+\beta )q^{5}+q^{7}+(-1+\cdots)q^{9}+\cdots$$
1064.2.a.f $3$ $8.496$ 3.3.1101.1 None None $$0$$ $$-1$$ $$2$$ $$3$$ $-$ $$q-\beta _{1}q^{3}+(1+\beta _{2})q^{5}+q^{7}+(4-\beta _{1}+\cdots)q^{9}+\cdots$$
1064.2.a.g $4$ $8.496$ 4.4.18097.1 None None $$0$$ $$0$$ $$-3$$ $$-4$$ $-$ $$q+\beta _{3}q^{3}+(-1-\beta _{2}+\beta _{3})q^{5}-q^{7}+\cdots$$
1064.2.a.h $4$ $8.496$ 4.4.25857.1 None None $$0$$ $$2$$ $$1$$ $$4$$ $-$ $$q+(1+\beta _{2})q^{3}+(1-\beta _{1}+\beta _{2})q^{5}+q^{7}+\cdots$$
1064.2.a.i $5$ $8.496$ 5.5.10463409.1 None None $$0$$ $$0$$ $$3$$ $$-5$$ $-$ $$q-\beta _{1}q^{3}+(1-\beta _{4})q^{5}-q^{7}+(1+\beta _{2}+\cdots)q^{9}+\cdots$$
1064.2.m.a $16$ $8.496$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+\beta _{7}q^{3}+(-\beta _{14}-\beta _{15})q^{5}+(\beta _{2}+\beta _{15})q^{7}+\cdots$$
1064.2.m.b $24$ $8.496$ None None $$0$$ $$0$$ $$0$$ $$8$$
1064.2.q.a $2$ $8.496$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-2$$ $$-1$$ $$-5$$ $$q+(-2+2\zeta_{6})q^{3}-\zeta_{6}q^{5}+(-2-\zeta_{6})q^{7}+\cdots$$
1064.2.q.b $2$ $8.496$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-2$$ $$1$$ $$-5$$ $$q+(-2+2\zeta_{6})q^{3}+\zeta_{6}q^{5}+(-2-\zeta_{6})q^{7}+\cdots$$
1064.2.q.c $2$ $8.496$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-2$$ $$1$$ $$5$$ $$q+(-2+2\zeta_{6})q^{3}+\zeta_{6}q^{5}+(2+\zeta_{6})q^{7}+\cdots$$
1064.2.q.d $2$ $8.496$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-3$$ $$-1$$ $$q-3\zeta_{6}q^{5}+(-2+3\zeta_{6})q^{7}+3\zeta_{6}q^{9}+\cdots$$
1064.2.q.e $2$ $8.496$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-3$$ $$5$$ $$q-3\zeta_{6}q^{5}+(2+\zeta_{6})q^{7}+3\zeta_{6}q^{9}+(-5+\cdots)q^{11}+\cdots$$
1064.2.q.f $2$ $8.496$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-2$$ $$-5$$ $$q-2\zeta_{6}q^{5}+(-3+\zeta_{6})q^{7}+3\zeta_{6}q^{9}+\cdots$$
1064.2.q.g $2$ $8.496$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$3$$ $$5$$ $$q+3\zeta_{6}q^{5}+(2+\zeta_{6})q^{7}+3\zeta_{6}q^{9}+(1+\cdots)q^{11}+\cdots$$
1064.2.q.h $2$ $8.496$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$2$$ $$-2$$ $$-1$$ $$q+(2-2\zeta_{6})q^{3}-2\zeta_{6}q^{5}+(1-3\zeta_{6})q^{7}+\cdots$$
1064.2.q.i $2$ $8.496$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$2$$ $$1$$ $$-1$$ $$q+(2-2\zeta_{6})q^{3}+\zeta_{6}q^{5}+(-2+3\zeta_{6})q^{7}+\cdots$$
1064.2.q.j $2$ $8.496$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$2$$ $$1$$ $$4$$ $$q+(2-2\zeta_{6})q^{3}+\zeta_{6}q^{5}+(3-2\zeta_{6})q^{7}+\cdots$$
1064.2.q.k $4$ $8.496$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$0$$ $$-4$$ $$2$$ $$2$$ $$q+(-\beta _{1}+2\beta _{2}-\beta _{3})q^{3}+(1+\beta _{2})q^{5}+\cdots$$
1064.2.q.l $4$ $8.496$ $$\Q(\sqrt{-3}, \sqrt{-19})$$ None None $$0$$ $$4$$ $$2$$ $$-3$$ $$q+2\beta _{2}q^{3}+(1-\beta _{2})q^{5}+(-\beta _{2}+\beta _{3})q^{7}+\cdots$$
1064.2.q.m $6$ $8.496$ 6.0.31259952.1 None None $$0$$ $$0$$ $$-2$$ $$-3$$ $$q-\beta _{1}q^{3}+(-1-\beta _{1}-\beta _{2}+\beta _{3}-\beta _{5})q^{5}+\cdots$$
1064.2.q.n $16$ $8.496$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$1$$ $$5$$ $$q+\beta _{1}q^{3}+\beta _{10}q^{5}+\beta _{11}q^{7}+(-\beta _{2}+\cdots)q^{9}+\cdots$$
1064.2.q.o $22$ $8.496$ None None $$0$$ $$0$$ $$-3$$ $$-6$$
1064.2.r.a $2$ $8.496$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-3$$ $$3$$ $$2$$ $$q+(-3+3\zeta_{6})q^{3}+(3-3\zeta_{6})q^{5}+q^{7}+\cdots$$
1064.2.r.b $2$ $8.496$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$1$$ $$-2$$ $$q+(-1+\zeta_{6})q^{3}+(1-\zeta_{6})q^{5}-q^{7}+\cdots$$
1064.2.r.c $2$ $8.496$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$1$$ $$2$$ $$q+(-1+\zeta_{6})q^{3}+(1-\zeta_{6})q^{5}+q^{7}+\cdots$$
1064.2.r.d $2$ $8.496$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$3$$ $$2$$ $$q+(3-3\zeta_{6})q^{5}+q^{7}+3\zeta_{6}q^{9}+2q^{11}+\cdots$$
1064.2.r.e $2$ $8.496$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$-1$$ $$-2$$ $$q+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{5}-q^{7}+\cdots$$
1064.2.r.f $4$ $8.496$ $$\Q(\sqrt{-3}, \sqrt{17})$$ None None $$0$$ $$-1$$ $$2$$ $$-4$$ $$q-\beta _{1}q^{3}+\beta _{2}q^{5}-q^{7}+(-1+\beta _{1}+\cdots)q^{9}+\cdots$$
1064.2.r.g $8$ $8.496$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None None $$0$$ $$0$$ $$-2$$ $$8$$ $$q-\beta _{6}q^{3}+(\beta _{1}-\beta _{4})q^{5}+q^{7}+(-2+\cdots)q^{9}+\cdots$$
1064.2.r.h $8$ $8.496$ 8.0.3098592225.1 None None $$0$$ $$2$$ $$1$$ $$-8$$ $$q+\beta _{6}q^{3}+(-\beta _{4}-\beta _{7})q^{5}-q^{7}+(-\beta _{2}+\cdots)q^{9}+\cdots$$
1064.2.r.i $14$ $8.496$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None None $$0$$ $$2$$ $$-3$$ $$-14$$ $$q+(-\beta _{1}+\beta _{4})q^{3}+(-\beta _{7}+\beta _{9})q^{5}+\cdots$$
1064.2.r.j $16$ $8.496$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$3$$ $$-5$$ $$16$$ $$q+(-\beta _{1}-\beta _{2})q^{3}+(\beta _{7}-\beta _{13})q^{5}+q^{7}+\cdots$$