## Results (1-50 of 106 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1536.1.e.a $4$ $0.767$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{2}q^{3}+(-\zeta_{8}-\zeta_{8}^{3})q^{5}+(-\zeta_{8}+\cdots)q^{7}+\cdots$$
1536.1.e.b $4$ $0.767$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{3}+\zeta_{8}^{2}q^{9}+(\zeta_{8}+\zeta_{8}^{3})q^{11}+\cdots$$
1536.1.h.a $2$ $0.767$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-q^{3}-\beta q^{5}-\beta q^{7}+q^{9}+\beta q^{15}+\cdots$$
1536.1.h.b $2$ $0.767$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+q^{3}-\beta q^{5}+\beta q^{7}+q^{9}-\beta q^{15}+\cdots$$
1536.1.h.c $4$ $0.767$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{3}+\zeta_{8}^{2}q^{9}+(-\zeta_{8}+\zeta_{8}^{3})q^{11}+\cdots$$
1536.2.a.a $2$ $12.265$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-2$$ $$-4$$ $$0$$ $+$ $$q-q^{3}+(-2+\beta )q^{5}+\beta q^{7}+q^{9}+(2+\cdots)q^{11}+\cdots$$
1536.2.a.b $2$ $12.265$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-2$$ $$-4$$ $$4$$ $-$ $$q-q^{3}+(-2+\beta )q^{5}+(2+\beta )q^{7}+q^{9}+\cdots$$
1536.2.a.c $2$ $12.265$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $+$ $$q-q^{3}+\beta q^{5}-\beta q^{7}+q^{9}-2q^{11}+\cdots$$
1536.2.a.d $2$ $12.265$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $-$ $$q-q^{3}+\beta q^{5}+3\beta q^{7}+q^{9}+6q^{11}+\cdots$$
1536.2.a.e $2$ $12.265$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-2$$ $$4$$ $$-4$$ $+$ $$q-q^{3}+(2+\beta )q^{5}+(-2+\beta )q^{7}+q^{9}+\cdots$$
1536.2.a.f $2$ $12.265$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-2$$ $$4$$ $$0$$ $-$ $$q-q^{3}+(2+\beta )q^{5}+\beta q^{7}+q^{9}+(2+2\beta )q^{11}+\cdots$$
1536.2.a.g $2$ $12.265$ $$\Q(\sqrt{2})$$ None None $$0$$ $$2$$ $$-4$$ $$-4$$ $+$ $$q+q^{3}+(-2+\beta )q^{5}+(-2-\beta )q^{7}+\cdots$$
1536.2.a.h $2$ $12.265$ $$\Q(\sqrt{2})$$ None None $$0$$ $$2$$ $$-4$$ $$0$$ $+$ $$q+q^{3}+(-2+\beta )q^{5}-\beta q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots$$
1536.2.a.i $2$ $12.265$ $$\Q(\sqrt{2})$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $+$ $$q+q^{3}+\beta q^{5}-3\beta q^{7}+q^{9}-6q^{11}+\cdots$$
1536.2.a.j $2$ $12.265$ $$\Q(\sqrt{2})$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $-$ $$q+q^{3}+\beta q^{5}+\beta q^{7}+q^{9}+2q^{11}+\cdots$$
1536.2.a.k $2$ $12.265$ $$\Q(\sqrt{2})$$ None None $$0$$ $$2$$ $$4$$ $$0$$ $-$ $$q+q^{3}+(2+\beta )q^{5}-\beta q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots$$
1536.2.a.l $2$ $12.265$ $$\Q(\sqrt{2})$$ None None $$0$$ $$2$$ $$4$$ $$4$$ $-$ $$q+q^{3}+(2+\beta )q^{5}+(2-\beta )q^{7}+q^{9}+\cdots$$
1536.2.a.m $4$ $12.265$ 4.4.4352.1 None None $$0$$ $$-4$$ $$0$$ $$0$$ $-$ $$q-q^{3}+\beta _{1}q^{5}-\beta _{3}q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots$$
1536.2.a.n $4$ $12.265$ 4.4.4352.1 None None $$0$$ $$4$$ $$0$$ $$0$$ $-$ $$q+q^{3}+\beta _{1}q^{5}+\beta _{3}q^{7}+q^{9}+(2+\beta _{2}+\cdots)q^{11}+\cdots$$
1536.2.c.a $2$ $12.265$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+(-1+\beta )q^{3}+\beta q^{5}-3\beta q^{7}+(-1+\cdots)q^{9}+\cdots$$
1536.2.c.b $2$ $12.265$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+(-1-\beta )q^{3}+\beta q^{5}-3\beta q^{7}+(-1+\cdots)q^{9}+\cdots$$
1536.2.c.c $2$ $12.265$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $$q+(1-\beta )q^{3}+\beta q^{5}+3\beta q^{7}+(-1-2\beta )q^{9}+\cdots$$
1536.2.c.d $2$ $12.265$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $$q+(1+\beta )q^{3}+\beta q^{5}+3\beta q^{7}+(-1+2\beta )q^{9}+\cdots$$
1536.2.c.e $4$ $12.265$ $$\Q(\sqrt{-2}, \sqrt{7})$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+(-1-\beta _{1})q^{3}+\beta _{2}q^{5}+\beta _{2}q^{7}+(-1+\cdots)q^{9}+\cdots$$
1536.2.c.f $4$ $12.265$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+(-1-\zeta_{8}^{2})q^{3}+(-\zeta_{8}+2\zeta_{8}^{2}+\zeta_{8}^{3})q^{9}+\cdots$$
1536.2.c.g $4$ $12.265$ $$\Q(\sqrt{-2}, \sqrt{-5})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{3}-2\beta _{2}q^{5}+(2+\beta _{3})q^{9}+(2\beta _{1}+\cdots)q^{11}+\cdots$$
1536.2.c.h $4$ $12.265$ $$\Q(\sqrt{-2}, \sqrt{-5})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{1}+\beta _{2})q^{3}-2\beta _{2}q^{5}+(2-\beta _{3})q^{9}+\cdots$$
1536.2.c.i $4$ $12.265$ $$\Q(\sqrt{-2}, \sqrt{7})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q+(1-\beta _{1})q^{3}+\beta _{2}q^{5}-\beta _{2}q^{7}+(-1+\cdots)q^{9}+\cdots$$
1536.2.c.j $4$ $12.265$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$4$$ $$0$$ $$0$$ $$q+(1+\zeta_{8}^{2})q^{3}+(-\zeta_{8}+2\zeta_{8}^{2}+\zeta_{8}^{3})q^{9}+\cdots$$
1536.2.c.k $8$ $12.265$ 8.0.40960000.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{4}q^{3}-\beta _{1}q^{5}+(-2+\beta _{2})q^{9}-\beta _{3}q^{11}+\cdots$$
1536.2.c.l $8$ $12.265$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}q^{3}+\zeta_{24}^{3}q^{5}+\zeta_{24}^{2}q^{7}+3q^{9}+\cdots$$
1536.2.c.m $16$ $12.265$ 16.0.$$\cdots$$.7 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{7}q^{3}+\beta _{2}q^{5}-\beta _{6}q^{7}+\beta _{13}q^{9}+\cdots$$
1536.2.d.a $4$ $12.265$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$-8$$ $$q-\zeta_{8}q^{3}+(2\zeta_{8}-\zeta_{8}^{2})q^{5}+(-2-\zeta_{8}^{3})q^{7}+\cdots$$
1536.2.d.b $4$ $12.265$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}q^{3}+(2\zeta_{8}-\zeta_{8}^{2})q^{5}+\zeta_{8}^{3}q^{7}+\cdots$$
1536.2.d.c $4$ $12.265$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}q^{3}+\zeta_{8}^{2}q^{5}-3\zeta_{8}^{3}q^{7}-q^{9}+\cdots$$
1536.2.d.d $4$ $12.265$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{3}+\zeta_{8}^{2}q^{5}-\zeta_{8}^{3}q^{7}-q^{9}+\cdots$$
1536.2.d.e $4$ $12.265$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{3}+(2\zeta_{8}-\zeta_{8}^{2})q^{5}-\zeta_{8}^{3}q^{7}+\cdots$$
1536.2.d.f $4$ $12.265$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$8$$ $$q+\zeta_{8}q^{3}+(2\zeta_{8}-\zeta_{8}^{2})q^{5}+(2+\zeta_{8}^{3})q^{7}+\cdots$$
1536.2.d.g $8$ $12.265$ 8.0.18939904.2 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{4}q^{3}+\beta _{5}q^{5}-\beta _{2}q^{7}-q^{9}+(2\beta _{4}+\cdots)q^{11}+\cdots$$
1536.2.f.a $4$ $12.265$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+(-1-\zeta_{8}+\zeta_{8}^{2})q^{3}+(2\zeta_{8}-\zeta_{8}^{2}+\cdots)q^{9}+\cdots$$
1536.2.f.b $4$ $12.265$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$-8$$ $$0$$ $$q-\beta _{2}q^{3}+(-2+\beta _{3})q^{5}+(-\beta _{1}-2\beta _{2}+\cdots)q^{7}+\cdots$$
1536.2.f.c $4$ $12.265$ $$\Q(\sqrt{-2}, \sqrt{-5})$$ None None $$0$$ $$0$$ $$-8$$ $$0$$ $$q+\beta _{1}q^{3}-2q^{5}+(2+\beta _{3})q^{9}+\beta _{2}q^{11}+\cdots$$
1536.2.f.d $4$ $12.265$ $$\Q(\sqrt{2}, \sqrt{-5})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{3}-2\beta _{2}q^{5}+(-2+\beta _{3})q^{9}+\cdots$$
1536.2.f.e $4$ $12.265$ $$\Q(\sqrt{2}, \sqrt{-5})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}-2\beta _{2}q^{5}+(-2+\beta _{3})q^{9}+\cdots$$
1536.2.f.f $4$ $12.265$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{8}+\zeta_{8}^{3})q^{3}-\zeta_{8}^{3}q^{5}+3\zeta_{8}^{2}q^{7}+\cdots$$
1536.2.f.g $4$ $12.265$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{8}-\zeta_{8}^{3})q^{3}-\zeta_{8}^{3}q^{5}+3\zeta_{8}^{2}q^{7}+\cdots$$
1536.2.f.h $4$ $12.265$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$8$$ $$0$$ $$q+\beta _{2}q^{3}+(2+\beta _{3})q^{5}+(\beta _{1}-2\beta _{2})q^{7}+\cdots$$
1536.2.f.i $4$ $12.265$ $$\Q(\sqrt{-2}, \sqrt{-5})$$ None None $$0$$ $$0$$ $$8$$ $$0$$ $$q+\beta _{1}q^{3}+2q^{5}+(2+\beta _{3})q^{9}+\beta _{2}q^{11}+\cdots$$
1536.2.f.j $4$ $12.265$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$4$$ $$0$$ $$0$$ $$q+(1+\zeta_{8}-\zeta_{8}^{2})q^{3}+(2\zeta_{8}-\zeta_{8}^{2}-2\zeta_{8}^{3})q^{9}+\cdots$$
1536.2.f.k $8$ $12.265$ 8.0.157351936.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{3}+\beta _{7}q^{5}-\beta _{6}q^{7}+(1-\beta _{4}+\cdots)q^{9}+\cdots$$