## Results (1-50 of 93 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1521.1.j.a $2$ $0.759$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-39})$$ None $$-2$$ $$0$$ $$2$$ $$0$$ $$q+(-1-i)q^{2}+iq^{4}+(1+i)q^{5}-q^{8}+\cdots$$
1521.1.j.b $2$ $0.759$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q-iq^{4}+(1-i)q^{7}-q^{16}+(1+i)q^{19}+\cdots$$
1521.1.j.c $2$ $0.759$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-39})$$ None $$2$$ $$0$$ $$-2$$ $$0$$ $$q+(1+i)q^{2}+iq^{4}+(-1-i)q^{5}+q^{8}+\cdots$$
1521.1.bd.a $4$ $0.759$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-39})$$ None $$-2$$ $$0$$ $$-4$$ $$0$$ $$q+(-\zeta_{12}^{2}-\zeta_{12}^{5})q^{2}-\zeta_{12}q^{4}+(-1+\cdots)q^{5}+\cdots$$
1521.1.bd.b $4$ $0.759$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+\zeta_{12}q^{4}+(\zeta_{12}+\zeta_{12}^{4})q^{7}+\zeta_{12}^{2}q^{16}+\cdots$$
1521.1.bd.c $4$ $0.759$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q+\zeta_{12}q^{4}+(-\zeta_{12}-\zeta_{12}^{4})q^{7}+\zeta_{12}^{2}q^{16}+\cdots$$
1521.1.bd.d $4$ $0.759$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-39})$$ None $$2$$ $$0$$ $$4$$ $$0$$ $$q+(\zeta_{12}^{2}+\zeta_{12}^{5})q^{2}-\zeta_{12}q^{4}+(1+\zeta_{12}^{3}+\cdots)q^{5}+\cdots$$
1521.1.bm.a $24$ $0.759$ $$\Q(\zeta_{52})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q+\zeta_{52}^{17}q^{4}+(-\zeta_{52}^{5}-\zeta_{52}^{20})q^{7}+\cdots$$
1521.2.a.a $1$ $12.145$ $$\Q$$ None None $$-1$$ $$0$$ $$1$$ $$2$$ $-$ $$q-q^{2}-q^{4}+q^{5}+2q^{7}+3q^{8}-q^{10}+\cdots$$
1521.2.a.b $1$ $12.145$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $+$ $$q-2q^{4}-q^{7}+4q^{16}+8q^{19}-5q^{25}+\cdots$$
1521.2.a.c $1$ $12.145$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $+$ $$q-2q^{4}+q^{7}+4q^{16}-8q^{19}-5q^{25}+\cdots$$
1521.2.a.d $1$ $12.145$ $$\Q$$ None None $$1$$ $$0$$ $$-1$$ $$-2$$ $-$ $$q+q^{2}-q^{4}-q^{5}-2q^{7}-3q^{8}-q^{10}+\cdots$$
1521.2.a.e $1$ $12.145$ $$\Q$$ None None $$1$$ $$0$$ $$2$$ $$4$$ $-$ $$q+q^{2}-q^{4}+2q^{5}+4q^{7}-3q^{8}+2q^{10}+\cdots$$
1521.2.a.f $2$ $12.145$ $$\Q(\sqrt{2})$$ None None $$-2$$ $$0$$ $$0$$ $$0$$ $-$ $$q+(-1+\beta )q^{2}+(1-2\beta )q^{4}-2\beta q^{5}+\cdots$$
1521.2.a.g $2$ $12.145$ $$\Q(\sqrt{17})$$ None None $$-1$$ $$0$$ $$3$$ $$-3$$ $-$ $$q-\beta q^{2}+(2+\beta )q^{4}+(2-\beta )q^{5}+(-1+\cdots)q^{7}+\cdots$$
1521.2.a.h $2$ $12.145$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q-2q^{4}+2\beta q^{5}-\beta q^{7}-2\beta q^{11}+4q^{16}+\cdots$$
1521.2.a.i $2$ $12.145$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q-2q^{4}-3\beta q^{7}+4q^{16}-2\beta q^{19}+\cdots$$
1521.2.a.j $2$ $12.145$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $+$ $$q+\beta q^{2}+q^{4}-2q^{7}-\beta q^{8}-2\beta q^{11}+\cdots$$
1521.2.a.k $2$ $12.145$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q+\beta q^{2}+q^{4}-\beta q^{5}-\beta q^{8}-3q^{10}+\cdots$$
1521.2.a.l $2$ $12.145$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q+\beta q^{2}+q^{4}-2\beta q^{7}-\beta q^{8}+2\beta q^{11}+\cdots$$
1521.2.a.m $2$ $12.145$ $$\Q(\sqrt{17})$$ None None $$1$$ $$0$$ $$-3$$ $$3$$ $-$ $$q+\beta q^{2}+(2+\beta )q^{4}+(-2+\beta )q^{5}+(1+\cdots)q^{7}+\cdots$$
1521.2.a.n $3$ $12.145$ $$\Q(\zeta_{14})^+$$ None None $$-3$$ $$0$$ $$-6$$ $$2$$ $+$ $$q+(-1+\beta _{1}+\beta _{2})q^{2}+(4-\beta _{1})q^{4}+\cdots$$
1521.2.a.o $3$ $12.145$ $$\Q(\zeta_{14})^+$$ None None $$-2$$ $$0$$ $$-4$$ $$3$$ $+$ $$q+(-1-\beta _{2})q^{2}+(\beta _{1}+\beta _{2})q^{4}+(-2+\cdots)q^{5}+\cdots$$
1521.2.a.p $3$ $12.145$ $$\Q(\zeta_{14})^+$$ None None $$-1$$ $$0$$ $$-4$$ $$10$$ $-$ $$q-\beta _{1}q^{2}+\beta _{2}q^{4}+(-2+\beta _{1}-\beta _{2})q^{5}+\cdots$$
1521.2.a.q $3$ $12.145$ $$\Q(\zeta_{14})^+$$ None None $$1$$ $$0$$ $$4$$ $$-10$$ $+$ $$q+\beta _{1}q^{2}+\beta _{2}q^{4}+(2-\beta _{1}+\beta _{2})q^{5}+\cdots$$
1521.2.a.r $3$ $12.145$ $$\Q(\zeta_{14})^+$$ None None $$2$$ $$0$$ $$4$$ $$-3$$ $-$ $$q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots$$
1521.2.a.s $3$ $12.145$ $$\Q(\zeta_{14})^+$$ None None $$3$$ $$0$$ $$6$$ $$-2$$ $-$ $$q+(1-\beta _{1}-\beta _{2})q^{2}+(4-\beta _{1})q^{4}+(1+\cdots)q^{5}+\cdots$$
1521.2.a.t $4$ $12.145$ 4.4.8112.1 $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q-\beta _{2}q^{2}+(2-\beta _{3})q^{4}+\beta _{1}q^{5}+(\beta _{1}+\cdots)q^{8}+\cdots$$
1521.2.a.u $4$ $12.145$ $$\Q(\sqrt{3}, \sqrt{5})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+\beta _{3}q^{2}+3q^{4}+\beta _{3}q^{5}+2\beta _{1}q^{7}+\cdots$$
1521.2.a.v $6$ $12.145$ 6.6.1997632.1 None None $$0$$ $$0$$ $$0$$ $$-12$$ $+$ $$q+\beta _{5}q^{2}+(-2\beta _{2}+\beta _{4})q^{4}+(\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots$$
1521.2.a.w $6$ $12.145$ 6.6.1997632.1 None None $$0$$ $$0$$ $$0$$ $$12$$ $-$ $$q+\beta _{5}q^{2}+(-2\beta _{2}+\beta _{4})q^{4}+(\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots$$
1521.2.b.a $2$ $12.145$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{2}-q^{4}+\zeta_{6}q^{5}-\zeta_{6}q^{8}+3q^{10}+\cdots$$
1521.2.b.b $2$ $12.145$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}+q^{4}+2iq^{5}-4iq^{7}+3iq^{8}+\cdots$$
1521.2.b.c $2$ $12.145$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}+q^{4}-iq^{5}+2iq^{7}+3iq^{8}+\cdots$$
1521.2.b.d $2$ $12.145$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2q^{4}+3\zeta_{6}q^{7}+4q^{16}-2\zeta_{6}q^{19}+\cdots$$
1521.2.b.e $2$ $12.145$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2q^{4}+iq^{7}+4q^{16}+8iq^{19}+5q^{25}+\cdots$$
1521.2.b.f $2$ $12.145$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2q^{4}+2\zeta_{6}q^{5}+\zeta_{6}q^{7}+2\zeta_{6}q^{11}+\cdots$$
1521.2.b.g $4$ $12.145$ $$\Q(\sqrt{-3}, \sqrt{-5})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}-3q^{4}-\beta _{1}q^{5}-2\beta _{2}q^{7}+\cdots$$
1521.2.b.h $4$ $12.145$ $$\Q(i, \sqrt{17})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(-3+\beta _{3})q^{4}+(\beta _{1}+2\beta _{2}+\cdots)q^{5}+\cdots$$
1521.2.b.i $4$ $12.145$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{2}q^{2}-q^{4}+\zeta_{12}q^{7}+\zeta_{12}^{2}q^{8}+\cdots$$
1521.2.b.j $4$ $12.145$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}q^{2}+(-1-\zeta_{8}^{3})q^{4}+(-\zeta_{8}+\zeta_{8}^{2}+\cdots)q^{5}+\cdots$$
1521.2.b.k $6$ $12.145$ 6.0.153664.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}+\beta _{3}+\beta _{5})q^{2}+(-3-\beta _{2}-\beta _{4}+\cdots)q^{4}+\cdots$$
1521.2.b.l $6$ $12.145$ 6.0.153664.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{3}+\beta _{5})q^{2}+(1-2\beta _{2}-\beta _{4})q^{4}+\cdots$$
1521.2.b.m $6$ $12.145$ 6.0.153664.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{2}q^{4}+(-\beta _{3}+\beta _{5})q^{5}+\cdots$$
1521.2.b.n $12$ $12.145$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{9}q^{2}+(-2-\beta _{2}+2\beta _{3})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$$
1521.2.i.a $4$ $12.145$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$-12$$ $$q+\zeta_{8}q^{2}-\zeta_{8}^{2}q^{4}+2\zeta_{8}q^{5}+(-3+\cdots)q^{7}+\cdots$$
1521.2.i.b $4$ $12.145$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$12$$ $$q+\zeta_{8}q^{2}-\zeta_{8}^{2}q^{4}+2\zeta_{8}q^{5}+(3+3\zeta_{8}^{2}+\cdots)q^{7}+\cdots$$
1521.2.i.c $8$ $12.145$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$-8$$ $$q-\zeta_{24}q^{2}-\zeta_{24}^{3}q^{4}+(2\zeta_{24}-\zeta_{24}^{4}+\cdots)q^{5}+\cdots$$
1521.2.i.d $8$ $12.145$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+(-\zeta_{24}^{5}+\zeta_{24}^{7})q^{2}+2\zeta_{24}^{3}q^{4}+\cdots$$
1521.2.i.e $8$ $12.145$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $$q+(-\zeta_{24}^{5}+\zeta_{24}^{7})q^{2}+2\zeta_{24}^{3}q^{4}+\cdots$$