Results (1-50 of 77 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1428.1.b.a $2$ $0.713$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-21})$$, $$\Q(\sqrt{-119})$$ $$\Q(\sqrt{51})$$ $$-2$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}-iq^{3}+q^{4}+iq^{5}+iq^{6}+iq^{7}+\cdots$$
1428.1.b.b $2$ $0.713$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-21})$$, $$\Q(\sqrt{-119})$$ $$\Q(\sqrt{51})$$ $$2$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}-iq^{3}+q^{4}-iq^{5}-iq^{6}+iq^{7}+\cdots$$
1428.1.b.c $4$ $0.713$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-17})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-q^{4}+\zeta_{8}^{3}q^{6}+\cdots$$
1428.1.b.d $4$ $0.713$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-17})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-q^{4}+\zeta_{8}^{3}q^{6}+\cdots$$
1428.1.b.e $8$ $0.713$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-119})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{20}^{4}q^{2}-\zeta_{20}q^{3}+\zeta_{20}^{8}q^{4}+(\zeta_{20}^{3}+\cdots)q^{5}+\cdots$$
1428.1.b.f $8$ $0.713$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-119})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{20}^{6}q^{2}-\zeta_{20}q^{3}-\zeta_{20}^{2}q^{4}+(-\zeta_{20}^{3}+\cdots)q^{5}+\cdots$$
1428.1.r.a $4$ $0.713$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-21})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-q^{4}-\zeta_{8}^{3}q^{6}+\cdots$$
1428.1.r.b $4$ $0.713$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-21})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-q^{4}+\zeta_{8}^{3}q^{6}+\cdots$$
1428.1.bl.a $4$ $0.713$ $$\Q(\zeta_{12})$$ None $$\Q(\sqrt{51})$$ $$-2$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{4}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{2}q^{4}+\cdots$$
1428.1.bl.b $4$ $0.713$ $$\Q(\zeta_{12})$$ None $$\Q(\sqrt{51})$$ $$2$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{4}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{2}q^{4}+\cdots$$
1428.1.bl.c $8$ $0.713$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-17})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{2}q^{2}+\zeta_{24}^{9}q^{3}+\zeta_{24}^{4}q^{4}+\cdots$$
1428.1.bl.d $8$ $0.713$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-17})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{2}q^{2}-\zeta_{24}^{5}q^{3}+\zeta_{24}^{4}q^{4}+\cdots$$
1428.1.bu.a $8$ $0.713$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-21})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{16}^{6}q^{2}-\zeta_{16}q^{3}-\zeta_{16}^{4}q^{4}+(\zeta_{16}^{3}+\cdots)q^{5}+\cdots$$
1428.1.bu.b $8$ $0.713$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-21})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{16}^{6}q^{2}-\zeta_{16}q^{3}-\zeta_{16}^{4}q^{4}+(-\zeta_{16}^{3}+\cdots)q^{5}+\cdots$$
1428.2.a.a $1$ $11.403$ $$\Q$$ None None $$0$$ $$-1$$ $$-3$$ $$-1$$ $-$ $$q-q^{3}-3q^{5}-q^{7}+q^{9}-5q^{11}+q^{13}+\cdots$$
1428.2.a.b $1$ $11.403$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$1$$ $+$ $$q-q^{3}+q^{5}+q^{7}+q^{9}-q^{11}-7q^{13}+\cdots$$
1428.2.a.c $1$ $11.403$ $$\Q$$ None None $$0$$ $$-1$$ $$2$$ $$-1$$ $-$ $$q-q^{3}+2q^{5}-q^{7}+q^{9}+6q^{13}-2q^{15}+\cdots$$
1428.2.a.d $1$ $11.403$ $$\Q$$ None None $$0$$ $$1$$ $$-3$$ $$1$$ $+$ $$q+q^{3}-3q^{5}+q^{7}+q^{9}-3q^{11}-q^{13}+\cdots$$
1428.2.a.e $1$ $11.403$ $$\Q$$ None None $$0$$ $$1$$ $$2$$ $$1$$ $-$ $$q+q^{3}+2q^{5}+q^{7}+q^{9}-2q^{13}+2q^{15}+\cdots$$
1428.2.a.f $2$ $11.403$ $$\Q(\sqrt{3})$$ None None $$0$$ $$-2$$ $$-4$$ $$-2$$ $+$ $$q-q^{3}+(-2+\beta )q^{5}-q^{7}+q^{9}+(3+\cdots)q^{11}+\cdots$$
1428.2.a.g $2$ $11.403$ $$\Q(\sqrt{2})$$ None None $$0$$ $$2$$ $$-2$$ $$-2$$ $+$ $$q+q^{3}+(-1+\beta )q^{5}-q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots$$
1428.2.a.h $2$ $11.403$ $$\Q(\sqrt{10})$$ None None $$0$$ $$2$$ $$2$$ $$2$$ $-$ $$q+q^{3}+(1+\beta )q^{5}+q^{7}+q^{9}+3q^{11}+\cdots$$
1428.2.a.i $2$ $11.403$ $$\Q(\sqrt{17})$$ None None $$0$$ $$2$$ $$3$$ $$-2$$ $-$ $$q+q^{3}+(1+\beta )q^{5}-q^{7}+q^{9}+(1-\beta )q^{11}+\cdots$$
1428.2.a.j $3$ $11.403$ 3.3.4764.1 None None $$0$$ $$-3$$ $$2$$ $$3$$ $-$ $$q-q^{3}+(1-\beta _{1})q^{5}+q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots$$
1428.2.d.a $2$ $11.403$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{3}-iq^{7}-q^{9}+4iq^{11}-2q^{13}+\cdots$$
1428.2.d.b $6$ $11.403$ 6.0.38738176.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{3}-\beta _{4}q^{5}-\beta _{1}q^{7}-q^{9}+(-3\beta _{1}+\cdots)q^{11}+\cdots$$
1428.2.d.c $12$ $11.403$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{8}q^{3}+\beta _{1}q^{5}-\beta _{8}q^{7}-q^{9}+(\beta _{2}+\cdots)q^{11}+\cdots$$
1428.2.g.a $48$ $11.403$ None None $$0$$ $$0$$ $$0$$ $$0$$
1428.2.j.a $22$ $11.403$ None None $$0$$ $$0$$ $$0$$ $$-4$$
1428.2.j.b $22$ $11.403$ None None $$0$$ $$0$$ $$0$$ $$-4$$
1428.2.q.a $2$ $11.403$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$0$$ $$-1$$ $$q+(-1+\zeta_{6})q^{3}+(-2+3\zeta_{6})q^{7}-\zeta_{6}q^{9}+\cdots$$
1428.2.q.b $2$ $11.403$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$3$$ $$-4$$ $$q+(-1+\zeta_{6})q^{3}+3\zeta_{6}q^{5}+(-1-2\zeta_{6})q^{7}+\cdots$$
1428.2.q.c $2$ $11.403$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$-3$$ $$-4$$ $$q+(1-\zeta_{6})q^{3}-3\zeta_{6}q^{5}+(-3+2\zeta_{6})q^{7}+\cdots$$
1428.2.q.d $2$ $11.403$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$-1$$ $$-4$$ $$q+(1-\zeta_{6})q^{3}-\zeta_{6}q^{5}+(-3+2\zeta_{6})q^{7}+\cdots$$
1428.2.q.e $8$ $11.403$ 8.0.447703281.1 None None $$0$$ $$-4$$ $$-2$$ $$3$$ $$q+(-1+\beta _{2})q^{3}+(\beta _{1}-\beta _{4})q^{5}+(\beta _{1}+\cdots)q^{7}+\cdots$$
1428.2.q.f $8$ $11.403$ 8.0.1767277521.3 None None $$0$$ $$4$$ $$0$$ $$1$$ $$q+\beta _{6}q^{3}+(-1+\beta _{1}-\beta _{4}+\beta _{6})q^{5}+\cdots$$
1428.2.q.g $8$ $11.403$ 8.0.1405125225.1 None None $$0$$ $$4$$ $$2$$ $$3$$ $$q+\beta _{4}q^{3}+(1-\beta _{4}+\beta _{6}-\beta _{7})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots$$
1428.2.q.h $12$ $11.403$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$-6$$ $$1$$ $$0$$ $$q+(-1+\beta _{5})q^{3}+\beta _{1}q^{5}+(-\beta _{7}+\beta _{9}+\cdots)q^{7}+\cdots$$
1428.2.u.a $96$ $11.403$ None None $$0$$ $$0$$ $$0$$ $$0$$
1428.2.w.a $4$ $11.403$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{3}+2\zeta_{8}q^{5}-\zeta_{8}^{3}q^{7}+\zeta_{8}^{2}q^{9}+\cdots$$
1428.2.w.b $16$ $11.403$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+\beta _{7}q^{3}-\beta _{10}q^{5}+\beta _{6}q^{7}+\beta _{13}q^{9}+\cdots$$
1428.2.w.c $20$ $11.403$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+\beta _{10}q^{3}+(\beta _{7}+\beta _{10})q^{5}+\beta _{12}q^{7}+\cdots$$
1428.2.bd.a $42$ $11.403$ None None $$0$$ $$0$$ $$0$$ $$-3$$
1428.2.bd.b $42$ $11.403$ None None $$0$$ $$0$$ $$0$$ $$-3$$
1428.2.bg.a $96$ $11.403$ None None $$0$$ $$0$$ $$0$$ $$0$$
1428.2.bn.a $4$ $11.403$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{12}+\zeta_{12}^{3})q^{3}+\zeta_{12}q^{5}+(2\zeta_{12}+\cdots)q^{7}+\cdots$$
1428.2.bn.b $44$ $11.403$ None None $$0$$ $$0$$ $$0$$ $$0$$
1428.2.bo.a $24$ $11.403$ None None $$0$$ $$0$$ $$0$$ $$0$$
1428.2.bo.b $40$ $11.403$ None None $$0$$ $$0$$ $$0$$ $$0$$
1428.2.cc.a $8$ $11.403$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{24}^{3}+\zeta_{24}^{7})q^{3}+\zeta_{24}^{7}q^{5}+\cdots$$