Results (1-50 of 73 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1352.1.g.a $2$ $0.675$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-26})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-iq^{2}-q^{3}-q^{4}+iq^{5}+iq^{6}-iq^{7}+\cdots$$
1352.1.g.b $3$ $0.675$ $$\Q(\zeta_{14})^+$$ $$\Q(\sqrt{-2})$$ None $$-3$$ $$-1$$ $$0$$ $$0$$ $$q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}-q^{8}+\cdots$$
1352.1.g.c $3$ $0.675$ $$\Q(\zeta_{14})^+$$ $$\Q(\sqrt{-2})$$ None $$3$$ $$-1$$ $$0$$ $$0$$ $$q+q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+q^{8}+\cdots$$
1352.1.h.a $6$ $0.675$ 6.0.153664.1 $$\Q(\sqrt{-2})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+\beta _{5}q^{2}-\beta _{4}q^{3}-q^{4}-\beta _{1}q^{6}-\beta _{5}q^{8}+\cdots$$
1352.1.n.a $4$ $0.675$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-26})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{2}-\zeta_{12}^{4}q^{3}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{3}q^{5}+\cdots$$
1352.1.n.b $6$ $0.675$ 6.0.64827.1 $$\Q(\sqrt{-2})$$ None $$-3$$ $$1$$ $$0$$ $$0$$ $$q-\beta _{5}q^{2}+(\beta _{1}-\beta _{2}+\beta _{3}+\beta _{4}+\beta _{5})q^{3}+\cdots$$
1352.1.n.c $6$ $0.675$ 6.0.64827.1 $$\Q(\sqrt{-2})$$ None $$3$$ $$1$$ $$0$$ $$0$$ $$q+\beta _{5}q^{2}+(\beta _{1}-\beta _{2}+\beta _{3}+\beta _{4}+\beta _{5})q^{3}+\cdots$$
1352.1.p.a $2$ $0.675$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-26})$$ None $$-1$$ $$1$$ $$-2$$ $$1$$ $$q-\zeta_{6}q^{2}+\zeta_{6}q^{3}+\zeta_{6}^{2}q^{4}-q^{5}-\zeta_{6}^{2}q^{6}+\cdots$$
1352.1.p.b $2$ $0.675$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-26})$$ None $$1$$ $$1$$ $$2$$ $$-1$$ $$q+\zeta_{6}q^{2}+\zeta_{6}q^{3}+\zeta_{6}^{2}q^{4}+q^{5}+\zeta_{6}^{2}q^{6}+\cdots$$
1352.1.p.c $12$ $0.675$ 12.0.$$\cdots$$.1 $$\Q(\sqrt{-2})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q-\beta _{6}q^{2}-\beta _{9}q^{3}+\beta _{7}q^{4}+\beta _{11}q^{6}+\cdots$$
1352.2.a.a $1$ $10.796$ $$\Q$$ None None $$0$$ $$1$$ $$-2$$ $$1$$ $+$ $$q+q^{3}-2q^{5}+q^{7}-2q^{9}-q^{11}-2q^{15}+\cdots$$
1352.2.a.b $1$ $10.796$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$-5$$ $+$ $$q+q^{3}+q^{5}-5q^{7}-2q^{9}+2q^{11}+\cdots$$
1352.2.a.c $1$ $10.796$ $$\Q$$ None None $$0$$ $$1$$ $$2$$ $$-1$$ $-$ $$q+q^{3}+2q^{5}-q^{7}-2q^{9}+q^{11}+2q^{15}+\cdots$$
1352.2.a.d $2$ $10.796$ $$\Q(\sqrt{17})$$ None None $$0$$ $$-1$$ $$-1$$ $$5$$ $-$ $$q-\beta q^{3}-\beta q^{5}+(2+\beta )q^{7}+(1+\beta )q^{9}+\cdots$$
1352.2.a.e $2$ $10.796$ $$\Q(\sqrt{17})$$ None None $$0$$ $$-1$$ $$1$$ $$-5$$ $+$ $$q-\beta q^{3}+\beta q^{5}+(-2-\beta )q^{7}+(1+\beta )q^{9}+\cdots$$
1352.2.a.f $2$ $10.796$ $$\Q(\sqrt{17})$$ None None $$0$$ $$1$$ $$-3$$ $$-1$$ $+$ $$q+\beta q^{3}+(-1-\beta )q^{5}-\beta q^{7}+(1+\beta )q^{9}+\cdots$$
1352.2.a.g $2$ $10.796$ $$\Q(\sqrt{17})$$ None None $$0$$ $$1$$ $$-3$$ $$1$$ $-$ $$q+\beta q^{3}+(-2+\beta )q^{5}+\beta q^{7}+(1+\beta )q^{9}+\cdots$$
1352.2.a.h $2$ $10.796$ $$\Q(\sqrt{17})$$ None None $$0$$ $$1$$ $$3$$ $$1$$ $-$ $$q+\beta q^{3}+(1+\beta )q^{5}+\beta q^{7}+(1+\beta )q^{9}+\cdots$$
1352.2.a.i $3$ $10.796$ $$\Q(\zeta_{14})^+$$ None None $$0$$ $$-4$$ $$-4$$ $$-1$$ $+$ $$q+(-1-\beta _{1})q^{3}+(-1-\beta _{1})q^{5}-\beta _{1}q^{7}+\cdots$$
1352.2.a.j $3$ $10.796$ $$\Q(\zeta_{14})^+$$ None None $$0$$ $$-4$$ $$4$$ $$1$$ $+$ $$q+(-1-\beta _{1})q^{3}+(1+\beta _{1})q^{5}+\beta _{1}q^{7}+\cdots$$
1352.2.a.k $4$ $10.796$ 4.4.13968.1 None None $$0$$ $$-2$$ $$-4$$ $$-4$$ $+$ $$q-\beta _{1}q^{3}+(-1-\beta _{1}-\beta _{2}+\beta _{3})q^{5}+\cdots$$
1352.2.a.l $4$ $10.796$ 4.4.13968.1 None None $$0$$ $$-2$$ $$4$$ $$4$$ $-$ $$q-\beta _{1}q^{3}+(1+\beta _{1}+\beta _{2}-\beta _{3})q^{5}+(1+\cdots)q^{7}+\cdots$$
1352.2.a.m $6$ $10.796$ 6.6.3728753.1 None None $$0$$ $$3$$ $$-2$$ $$3$$ $-$ $$q+(1+\beta _{1}+\beta _{2}+\beta _{5})q^{3}+(-\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots$$
1352.2.a.n $6$ $10.796$ 6.6.3728753.1 None None $$0$$ $$3$$ $$2$$ $$-3$$ $-$ $$q+(1+\beta _{1}+\beta _{2}+\beta _{5})q^{3}+(\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots$$
1352.2.f.a $2$ $10.796$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $$q+q^{3}+2iq^{5}+iq^{7}-2q^{9}-iq^{11}+\cdots$$
1352.2.f.b $2$ $10.796$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $$q+q^{3}-iq^{5}-5iq^{7}-2q^{9}+2iq^{11}+\cdots$$
1352.2.f.c $4$ $10.796$ $$\Q(i, \sqrt{17})$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $$q+(1-\beta _{3})q^{3}+(-\beta _{1}-\beta _{2})q^{5}+\beta _{1}q^{7}+\cdots$$
1352.2.f.d $4$ $10.796$ $$\Q(i, \sqrt{17})$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $$q+(1-\beta _{3})q^{3}+(\beta _{1}-\beta _{2})q^{5}-\beta _{1}q^{7}+\cdots$$
1352.2.f.e $6$ $10.796$ 6.0.153664.1 None None $$0$$ $$-8$$ $$0$$ $$0$$ $$q+(-2+\beta _{2}+\beta _{4})q^{3}+(\beta _{3}-\beta _{5})q^{5}+\cdots$$
1352.2.f.f $8$ $10.796$ 8.0.195105024.2 None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+(-1+\beta _{1})q^{3}+(\beta _{3}+\beta _{6}-\beta _{7})q^{5}+\cdots$$
1352.2.f.g $12$ $10.796$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$6$$ $$0$$ $$0$$ $$q+(1-\beta _{4}-\beta _{6})q^{3}+(-\beta _{1}-\beta _{7}-\beta _{8}+\cdots)q^{5}+\cdots$$
1352.2.i.a $2$ $10.796$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$-4$$ $$-1$$ $$q+(-1+\zeta_{6})q^{3}-2q^{5}-\zeta_{6}q^{7}+2\zeta_{6}q^{9}+\cdots$$
1352.2.i.b $2$ $10.796$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$-2$$ $$-5$$ $$q+(-1+\zeta_{6})q^{3}-q^{5}-5\zeta_{6}q^{7}+2\zeta_{6}q^{9}+\cdots$$
1352.2.i.c $2$ $10.796$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$2$$ $$5$$ $$q+(-1+\zeta_{6})q^{3}+q^{5}+5\zeta_{6}q^{7}+2\zeta_{6}q^{9}+\cdots$$
1352.2.i.d $4$ $10.796$ $$\Q(\sqrt{-3}, \sqrt{17})$$ None None $$0$$ $$-1$$ $$-6$$ $$-1$$ $$q-\beta _{1}q^{3}+(-2-\beta _{3})q^{5}+(\beta _{1}+\beta _{3})q^{7}+\cdots$$
1352.2.i.e $4$ $10.796$ $$\Q(\sqrt{-3}, \sqrt{17})$$ None None $$0$$ $$-1$$ $$6$$ $$-1$$ $$q-\beta _{1}q^{3}+(1-\beta _{3})q^{5}+(\beta _{1}+\beta _{3})q^{7}+\cdots$$
1352.2.i.f $4$ $10.796$ $$\Q(\sqrt{-3}, \sqrt{17})$$ None None $$0$$ $$-1$$ $$6$$ $$1$$ $$q-\beta _{1}q^{3}+(2+\beta _{3})q^{5}+(-\beta _{1}-\beta _{3})q^{7}+\cdots$$
1352.2.i.g $4$ $10.796$ $$\Q(\sqrt{-3}, \sqrt{17})$$ None None $$0$$ $$1$$ $$-2$$ $$-5$$ $$q+\beta _{1}q^{3}+\beta _{3}q^{5}+(-2+\beta _{1}+2\beta _{2}+\cdots)q^{7}+\cdots$$
1352.2.i.h $4$ $10.796$ $$\Q(\sqrt{-3}, \sqrt{17})$$ None None $$0$$ $$1$$ $$2$$ $$5$$ $$q+\beta _{1}q^{3}-\beta _{3}q^{5}+(2-\beta _{1}-2\beta _{2}-\beta _{3})q^{7}+\cdots$$
1352.2.i.i $6$ $10.796$ 6.0.64827.1 None None $$0$$ $$4$$ $$-8$$ $$1$$ $$q+(1+\beta _{4}-\beta _{5})q^{3}+(-1+\beta _{3})q^{5}+\cdots$$
1352.2.i.j $6$ $10.796$ 6.0.64827.1 None None $$0$$ $$4$$ $$8$$ $$-1$$ $$q+(1+\beta _{4}-\beta _{5})q^{3}+(1-\beta _{3})q^{5}+(\beta _{3}+\cdots)q^{7}+\cdots$$
1352.2.i.k $8$ $10.796$ 8.0.195105024.2 None None $$0$$ $$2$$ $$-8$$ $$4$$ $$q+(-1-\beta _{1}+\beta _{2}+\beta _{3})q^{3}+(-1-\beta _{2}+\cdots)q^{5}+\cdots$$
1352.2.i.l $8$ $10.796$ 8.0.195105024.2 None None $$0$$ $$2$$ $$8$$ $$-4$$ $$q+(-1-\beta _{1}+\beta _{2}+\beta _{3})q^{3}+(1+\beta _{2}+\cdots)q^{5}+\cdots$$
1352.2.i.m $12$ $10.796$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$-3$$ $$-4$$ $$-3$$ $$q+(-\beta _{1}+\beta _{2}+\beta _{7}-\beta _{10})q^{3}+(-\beta _{1}+\cdots)q^{5}+\cdots$$
1352.2.i.n $12$ $10.796$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$-3$$ $$4$$ $$3$$ $$q+(-\beta _{1}+\beta _{2}+\beta _{7}-\beta _{10})q^{3}+(\beta _{1}+\cdots)q^{5}+\cdots$$
1352.2.o.a $4$ $10.796$ $$\Q(\zeta_{12})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+(-1+\zeta_{12}^{2})q^{3}+\zeta_{12}^{3}q^{5}+(5\zeta_{12}+\cdots)q^{7}+\cdots$$
1352.2.o.b $4$ $10.796$ $$\Q(\zeta_{12})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+(-1+\zeta_{12}^{2})q^{3}-2\zeta_{12}^{3}q^{5}+(-\zeta_{12}+\cdots)q^{7}+\cdots$$
1352.2.o.c $8$ $10.796$ 8.0.1731891456.1 None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+(-\beta _{2}+\beta _{4}-\beta _{5})q^{3}+(\beta _{6}-\beta _{7})q^{5}+\cdots$$
1352.2.o.d $8$ $10.796$ 8.0.1731891456.1 None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+(-1-\beta _{3}+\beta _{5})q^{3}+(-\beta _{2}+\beta _{6}+\cdots)q^{5}+\cdots$$
1352.2.o.e $8$ $10.796$ 8.0.1731891456.1 None None $$0$$ $$2$$ $$0$$ $$0$$ $$q+(-\beta _{2}-\beta _{7})q^{3}+(\beta _{1}-\beta _{5})q^{5}+(\beta _{5}+\cdots)q^{7}+\cdots$$