## Results (1-50 of 409 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1008.1.f.a $1$ $0.503$ $$\Q$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-7})$$ $$\Q(\sqrt{21})$$ $$0$$ $$0$$ $$0$$ $$1$$ $$q+q^{7}+q^{25}-2q^{37}+2q^{43}+q^{49}+\cdots$$
1008.1.u.a $2$ $0.503$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-7})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+q^{4}+iq^{7}-q^{8}+(1-i)q^{11}+\cdots$$
1008.1.u.b $2$ $0.503$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-q^{4}-iq^{7}-iq^{8}+(1-i+\cdots)q^{11}+\cdots$$
1008.1.u.c $2$ $0.503$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-7})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+q^{4}+iq^{7}+q^{8}+(-1+i+\cdots)q^{11}+\cdots$$
1008.1.y.a $4$ $0.503$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $$q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}-q^{7}-\zeta_{8}^{3}q^{8}+\cdots$$
1008.1.y.b $4$ $0.503$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $$q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+q^{7}-\zeta_{8}q^{8}+\cdots$$
1008.1.bw.a $4$ $0.503$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q-\zeta_{12}^{3}q^{3}+\zeta_{12}^{2}q^{5}-\zeta_{12}^{3}q^{7}+\cdots$$
1008.1.cd.a $2$ $0.503$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$q+\zeta_{6}^{2}q^{7}+q^{13}+(1+\zeta_{6})q^{19}+\zeta_{6}q^{25}+\cdots$$
1008.1.cd.b $2$ $0.503$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q-\zeta_{6}^{2}q^{7}+q^{13}+(-1-\zeta_{6})q^{19}+\cdots$$
1008.1.cg.a $2$ $0.503$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$q-\zeta_{6}q^{7}+(-\zeta_{6}-\zeta_{6}^{2})q^{13}+(1-\zeta_{6}^{2}+\cdots)q^{19}+\cdots$$
1008.1.dc.a $4$ $0.503$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+\beta _{1}q^{5}+(-1+\beta _{2})q^{7}+(\beta _{1}-\beta _{3})q^{11}+\cdots$$
1008.1.dd.a $4$ $0.503$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+\zeta_{12}^{5}q^{3}-q^{5}+\zeta_{12}q^{7}-\zeta_{12}^{4}q^{9}+\cdots$$
1008.1.dt.a $8$ $0.503$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q-\zeta_{24}^{11}q^{2}-\zeta_{24}^{10}q^{4}+\zeta_{24}^{11}q^{5}+\cdots$$
1008.1.ed.a $8$ $0.503$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{7}q^{2}-\zeta_{24}^{2}q^{4}+\zeta_{24}q^{5}+\zeta_{24}^{2}q^{7}+\cdots$$
1008.2.a.a $1$ $8.049$ $$\Q$$ None None $$0$$ $$0$$ $$-4$$ $$1$$ $-$ $$q-4q^{5}+q^{7}+2q^{11}-6q^{13}+4q^{17}+\cdots$$
1008.2.a.b $1$ $8.049$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$-1$$ $-$ $$q-2q^{5}-q^{7}+6q^{13}+2q^{17}-4q^{19}+\cdots$$
1008.2.a.c $1$ $8.049$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$-1$$ $+$ $$q-2q^{5}-q^{7}+6q^{11}-6q^{13}+2q^{17}+\cdots$$
1008.2.a.d $1$ $8.049$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$1$$ $+$ $$q-2q^{5}+q^{7}-4q^{11}+2q^{13}+6q^{17}+\cdots$$
1008.2.a.e $1$ $8.049$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$1$$ $+$ $$q-2q^{5}+q^{7}-2q^{13}-6q^{17}+4q^{19}+\cdots$$
1008.2.a.f $1$ $8.049$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$1$$ $-$ $$q-2q^{5}+q^{7}+2q^{11}+2q^{13}-6q^{17}+\cdots$$
1008.2.a.g $1$ $8.049$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-1$$ $+$ $$q-q^{7}-6q^{11}+2q^{13}+4q^{19}-6q^{23}+\cdots$$
1008.2.a.h $1$ $8.049$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-1$$ $+$ $$q-q^{7}-4q^{13}-6q^{17}-2q^{19}-5q^{25}+\cdots$$
1008.2.a.i $1$ $8.049$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$-1$$ $+$ $$q+2q^{5}-q^{7}-6q^{11}-6q^{13}-2q^{17}+\cdots$$
1008.2.a.j $1$ $8.049$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$1$$ $-$ $$q+2q^{5}+q^{7}-4q^{11}+6q^{13}-2q^{17}+\cdots$$
1008.2.a.k $1$ $8.049$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$1$$ $-$ $$q+2q^{5}+q^{7}-2q^{11}+2q^{13}+6q^{17}+\cdots$$
1008.2.a.l $1$ $8.049$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$1$$ $-$ $$q+2q^{5}+q^{7}+4q^{11}-2q^{13}+6q^{17}+\cdots$$
1008.2.a.m $1$ $8.049$ $$\Q$$ None None $$0$$ $$0$$ $$4$$ $$-1$$ $-$ $$q+4q^{5}-q^{7}+2q^{17}+2q^{19}+8q^{23}+\cdots$$
1008.2.a.n $2$ $8.049$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $-$ $$q+\beta q^{5}-q^{7}+\beta q^{11}+2q^{13}-\beta q^{17}+\cdots$$
1008.2.b.a $2$ $8.049$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+(-2+\zeta_{6})q^{7}-2\zeta_{6}q^{11}-4\zeta_{6}q^{17}+\cdots$$
1008.2.b.b $2$ $8.049$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q-2\zeta_{6}q^{5}+(-2-\zeta_{6})q^{7}+2\zeta_{6}q^{11}+\cdots$$
1008.2.b.c $2$ $8.049$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+(-2+\zeta_{6})q^{7}-4\zeta_{6}q^{13}+8q^{19}+\cdots$$
1008.2.b.d $2$ $8.049$ $$\Q(\sqrt{-6})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+\beta q^{5}+(-1-\beta )q^{7}-\beta q^{11}-2\beta q^{13}+\cdots$$
1008.2.b.e $2$ $8.049$ $$\Q(\sqrt{-6})$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$q+\beta q^{5}+(1+\beta )q^{7}+\beta q^{11}-2\beta q^{13}+\cdots$$
1008.2.b.f $2$ $8.049$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $$q+(2-\zeta_{6})q^{7}-4\zeta_{6}q^{13}-8q^{19}+5q^{25}+\cdots$$
1008.2.b.g $2$ $8.049$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $$q-2\zeta_{6}q^{5}+(2+\zeta_{6})q^{7}-2\zeta_{6}q^{11}+\cdots$$
1008.2.b.h $2$ $8.049$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $$q+(2+\zeta_{6})q^{7}-2\zeta_{6}q^{11}+4\zeta_{6}q^{17}+\cdots$$
1008.2.b.i $4$ $8.049$ $$\Q(\sqrt{-6}, \sqrt{7})$$ $$\Q(\sqrt{-21})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{5}-\beta _{3}q^{7}-\beta _{2}q^{11}+3\beta _{1}q^{17}+\cdots$$
1008.2.h.a $4$ $8.049$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{2}q^{5}+\zeta_{8}q^{7}+4\zeta_{8}^{3}q^{11}-4q^{13}+\cdots$$
1008.2.h.b $8$ $8.049$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{24}^{2}+\zeta_{24}^{7})q^{5}-\zeta_{24}q^{7}+(-\zeta_{24}^{3}+\cdots)q^{11}+\cdots$$
1008.2.k.a $4$ $8.049$ $$\Q(\sqrt{-2}, \sqrt{7})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{7}+(\beta _{1}-\beta _{3})q^{11}+(\beta _{1}+\beta _{3})q^{23}+\cdots$$
1008.2.k.b $4$ $8.049$ $$\Q(\sqrt{-2}, \sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $$q-\beta _{3}q^{5}+(1+\beta _{1})q^{7}-\beta _{2}q^{11}-2\beta _{1}q^{13}+\cdots$$
1008.2.k.c $8$ $8.049$ $$\Q(\zeta_{16})$$ None None $$0$$ $$0$$ $$0$$ $$-8$$ $$q-\zeta_{16}^{7}q^{5}+(-1-\zeta_{16}^{6})q^{7}+(\zeta_{16}+\cdots)q^{11}+\cdots$$
1008.2.q.a $2$ $8.049$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-3$$ $$4$$ $$q+(1-2\zeta_{6})q^{3}+(-3+3\zeta_{6})q^{5}+(1+\cdots)q^{7}+\cdots$$
1008.2.q.b $2$ $8.049$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-1$$ $$-4$$ $$q+(1-2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{5}+(-1+\cdots)q^{7}+\cdots$$
1008.2.q.c $2$ $8.049$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$1$$ $$-4$$ $$q+(1-2\zeta_{6})q^{3}+(1-\zeta_{6})q^{5}+(-3+2\zeta_{6})q^{7}+\cdots$$
1008.2.q.d $2$ $8.049$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$1$$ $$4$$ $$q+(-1+2\zeta_{6})q^{3}+(1-\zeta_{6})q^{5}+(3-2\zeta_{6})q^{7}+\cdots$$
1008.2.q.e $2$ $8.049$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$3$$ $$4$$ $$q+(1-2\zeta_{6})q^{3}+(3-3\zeta_{6})q^{5}+(3-2\zeta_{6})q^{7}+\cdots$$
1008.2.q.f $2$ $8.049$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$3$$ $$-2$$ $$5$$ $$q+(2-\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{5}+(2+\zeta_{6})q^{7}+\cdots$$
1008.2.q.g $6$ $8.049$ 6.0.309123.1 None None $$0$$ $$-2$$ $$1$$ $$-2$$ $$q+(\beta _{2}+\beta _{4})q^{3}+(1-\beta _{1}+\beta _{3}-\beta _{4}+\cdots)q^{5}+\cdots$$
1008.2.q.h $6$ $8.049$ 6.0.309123.1 None None $$0$$ $$2$$ $$-5$$ $$-4$$ $$q+(-\beta _{3}+\beta _{4}+\beta _{5})q^{3}+(\beta _{1}+2\beta _{4}+\cdots)q^{5}+\cdots$$