Results (1-50 of 208 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1260.1.p.a $1$ $0.629$ $$\Q$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$0$$ $$-1$$ $$1$$ $$q-q^{5}+q^{7}+q^{11}-q^{13}+q^{17}+q^{25}+\cdots$$
1260.1.p.b $1$ $0.629$ $$\Q$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$0$$ $$1$$ $$-1$$ $$q+q^{5}-q^{7}+q^{11}+q^{13}-q^{17}+q^{25}+\cdots$$
1260.1.u.a $4$ $0.629$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-21})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}-q^{5}+\zeta_{8}q^{7}+\cdots$$
1260.1.u.b $4$ $0.629$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-21})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+q^{5}-\zeta_{8}q^{7}+\cdots$$
1260.1.bj.a $2$ $0.629$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-5})$$ None $$-1$$ $$-1$$ $$2$$ $$-1$$ $$q-\zeta_{6}q^{2}-\zeta_{6}q^{3}+\zeta_{6}^{2}q^{4}+q^{5}+\zeta_{6}^{2}q^{6}+\cdots$$
1260.1.bj.b $2$ $0.629$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-5})$$ None $$-1$$ $$2$$ $$2$$ $$-1$$ $$q-\zeta_{6}q^{2}+q^{3}+\zeta_{6}^{2}q^{4}+q^{5}-\zeta_{6}q^{6}+\cdots$$
1260.1.bj.c $2$ $0.629$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-5})$$ None $$1$$ $$-2$$ $$2$$ $$1$$ $$q+\zeta_{6}q^{2}-q^{3}+\zeta_{6}^{2}q^{4}+q^{5}-\zeta_{6}q^{6}+\cdots$$
1260.1.bj.d $2$ $0.629$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-5})$$ None $$1$$ $$1$$ $$2$$ $$1$$ $$q+\zeta_{6}q^{2}+\zeta_{6}q^{3}+\zeta_{6}^{2}q^{4}+q^{5}+\zeta_{6}^{2}q^{6}+\cdots$$
1260.1.bp.a $4$ $0.629$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-\zeta_{12}^{5}q^{2}+\zeta_{12}q^{3}-\zeta_{12}^{4}q^{4}+\zeta_{12}^{4}q^{5}+\cdots$$
1260.1.bp.b $4$ $0.629$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q-\zeta_{12}^{5}q^{2}-\zeta_{12}q^{3}-\zeta_{12}^{4}q^{4}-\zeta_{12}^{4}q^{5}+\cdots$$
1260.1.br.a $4$ $0.629$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+\zeta_{12}^{3}q^{2}+\zeta_{12}^{5}q^{3}-q^{4}-\zeta_{12}^{2}q^{5}+\cdots$$
1260.1.br.b $4$ $0.629$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+\zeta_{12}^{3}q^{2}-\zeta_{12}q^{3}-q^{4}+\zeta_{12}^{2}q^{5}+\cdots$$
1260.1.bt.a $2$ $0.629$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$-1$$ $$-1$$ $$-1$$ $$q-\zeta_{6}q^{3}-\zeta_{6}q^{5}+\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{9}+\cdots$$
1260.1.bt.b $2$ $0.629$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$-1$$ $$-1$$ $$-1$$ $$q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{5}+\zeta_{6}^{2}q^{7}-\zeta_{6}q^{9}+\cdots$$
1260.1.bt.c $2$ $0.629$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$1$$ $$1$$ $$1$$ $$q+\zeta_{6}q^{3}+\zeta_{6}q^{5}-\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{9}+\cdots$$
1260.1.bt.d $2$ $0.629$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$1$$ $$1$$ $$1$$ $$q-\zeta_{6}^{2}q^{3}+\zeta_{6}q^{5}-\zeta_{6}^{2}q^{7}-\zeta_{6}q^{9}+\cdots$$
1260.1.cf.a $8$ $0.629$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{7}q^{5}-\zeta_{24}^{10}q^{7}-\zeta_{24}^{6}q^{13}+\cdots$$
1260.1.ci.a $2$ $0.629$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-5})$$ None $$-1$$ $$0$$ $$1$$ $$1$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}+\zeta_{6}q^{7}+\cdots$$
1260.1.ci.b $2$ $0.629$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-5})$$ None $$1$$ $$0$$ $$1$$ $$-1$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}-\zeta_{6}q^{7}+\cdots$$
1260.1.cw.a $2$ $0.629$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-5})$$ None $$-2$$ $$1$$ $$-1$$ $$-2$$ $$q-q^{2}+\zeta_{6}q^{3}+q^{4}+\zeta_{6}^{2}q^{5}-\zeta_{6}q^{6}+\cdots$$
1260.1.cw.b $2$ $0.629$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-5})$$ None $$-2$$ $$1$$ $$-1$$ $$1$$ $$q-q^{2}-\zeta_{6}^{2}q^{3}+q^{4}+\zeta_{6}^{2}q^{5}+\zeta_{6}^{2}q^{6}+\cdots$$
1260.1.cw.c $2$ $0.629$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-5})$$ None $$2$$ $$-1$$ $$-1$$ $$-1$$ $$q+q^{2}+\zeta_{6}^{2}q^{3}+q^{4}+\zeta_{6}^{2}q^{5}+\zeta_{6}^{2}q^{6}+\cdots$$
1260.1.cw.d $2$ $0.629$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-5})$$ None $$2$$ $$-1$$ $$-1$$ $$2$$ $$q+q^{2}-\zeta_{6}q^{3}+q^{4}+\zeta_{6}^{2}q^{5}-\zeta_{6}q^{6}+\cdots$$
1260.1.de.a $4$ $0.629$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+\zeta_{12}^{5}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{4}+\cdots$$
1260.1.de.b $4$ $0.629$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q-\zeta_{12}^{5}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}^{4}q^{4}+\cdots$$
1260.1.eb.a $8$ $0.629$ $$\Q(\zeta_{24})$$ None None $$-4$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{4}q^{2}+\zeta_{24}^{3}q^{3}+\zeta_{24}^{8}q^{4}+\cdots$$
1260.1.eb.b $8$ $0.629$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{10}q^{2}+\zeta_{24}^{3}q^{3}-\zeta_{24}^{8}q^{4}+\cdots$$
1260.2.a.a $1$ $10.061$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$-1$$ $+$ $$q-q^{5}-q^{7}-2q^{11}+4q^{13}-2q^{17}+\cdots$$
1260.2.a.b $1$ $10.061$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$-1$$ $-$ $$q-q^{5}-q^{7}+4q^{11}+2q^{17}-6q^{19}+\cdots$$
1260.2.a.c $1$ $10.061$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$1$$ $-$ $$q-q^{5}+q^{7}-3q^{11}-q^{13}+3q^{17}+\cdots$$
1260.2.a.d $1$ $10.061$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$1$$ $+$ $$q-q^{5}+q^{7}-4q^{13}-6q^{17}+2q^{19}+\cdots$$
1260.2.a.e $1$ $10.061$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$1$$ $-$ $$q-q^{5}+q^{7}+2q^{11}+4q^{13}-2q^{17}+\cdots$$
1260.2.a.f $1$ $10.061$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-1$$ $+$ $$q+q^{5}-q^{7}-4q^{11}-2q^{17}-6q^{19}+\cdots$$
1260.2.a.g $1$ $10.061$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-1$$ $-$ $$q+q^{5}-q^{7}-2q^{11}+4q^{13}-6q^{17}+\cdots$$
1260.2.a.h $1$ $10.061$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-1$$ $-$ $$q+q^{5}-q^{7}+5q^{11}-3q^{13}+q^{17}+\cdots$$
1260.2.a.i $1$ $10.061$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$1$$ $+$ $$q+q^{5}+q^{7}-6q^{11}-4q^{13}-6q^{17}+\cdots$$
1260.2.a.j $1$ $10.061$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$1$$ $-$ $$q+q^{5}+q^{7}-4q^{13}+6q^{17}+2q^{19}+\cdots$$
1260.2.c.a $4$ $10.061$ $$\Q(\zeta_{12})$$ None None $$2$$ $$0$$ $$0$$ $$0$$ $$q+(1+\zeta_{12}^{3})q^{2}+(\zeta_{12}-2\zeta_{12}^{2}+\zeta_{12}^{3})q^{4}+\cdots$$
1260.2.c.b $4$ $10.061$ $$\Q(\zeta_{12})$$ None None $$2$$ $$0$$ $$0$$ $$0$$ $$q+(1+\zeta_{12}^{3})q^{2}+(\zeta_{12}-2\zeta_{12}^{2}+\zeta_{12}^{3})q^{4}+\cdots$$
1260.2.c.c $8$ $10.061$ 8.0.342102016.5 None None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{4}q^{2}+(-\beta _{3}-\beta _{4}-\beta _{5})q^{4}+\beta _{2}q^{5}+\cdots$$
1260.2.c.d $16$ $10.061$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$-2$$ $$0$$ $$0$$ $$-4$$ $$q+\beta _{4}q^{2}+\beta _{8}q^{4}+\beta _{3}q^{5}+(-\beta _{9}-\beta _{10}+\cdots)q^{7}+\cdots$$
1260.2.c.e $16$ $10.061$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$-2$$ $$0$$ $$0$$ $$4$$ $$q+\beta _{4}q^{2}+\beta _{8}q^{4}-\beta _{3}q^{5}-\beta _{15}q^{7}+\cdots$$
1260.2.c.f $32$ $10.061$ None None $$0$$ $$0$$ $$0$$ $$0$$
1260.2.d.a $4$ $10.061$ $$\Q(\sqrt{-2}, \sqrt{5})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q-q^{5}+(-\beta _{1}+\beta _{3})q^{7}-\beta _{1}q^{11}+(\beta _{1}+\cdots)q^{13}+\cdots$$
1260.2.d.b $4$ $10.061$ $$\Q(\sqrt{-2}, \sqrt{5})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+q^{5}+(\beta _{1}+\beta _{3})q^{7}-\beta _{1}q^{11}+(-\beta _{1}+\cdots)q^{13}+\cdots$$
1260.2.f.a $8$ $10.061$ 8.0.$$\cdots$$.11 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{3}q^{5}+\beta _{5}q^{7}+(\beta _{5}+\beta _{6})q^{11}+(\beta _{1}+\cdots)q^{13}+\cdots$$
1260.2.f.b $8$ $10.061$ 8.0.$$\cdots$$.11 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{1}-\beta _{2}-\beta _{3}+\beta _{5}-\beta _{6}+\beta _{7})q^{5}+\cdots$$
1260.2.k.a $2$ $10.061$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+(-2-i)q^{5}-iq^{7}-4q^{11}+2iq^{13}+\cdots$$
1260.2.k.b $2$ $10.061$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+(-1-2i)q^{5}+iq^{7}-4iq^{13}-4iq^{17}+\cdots$$
1260.2.k.c $2$ $10.061$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+(2+i)q^{5}+iq^{7}-3q^{11}-iq^{13}+\cdots$$