## Results (1-50 of 253 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1440.1.c.a $4$ $0.719$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{5}-\zeta_{8}^{2}q^{13}+(-\zeta_{8}+\zeta_{8}^{3}+\cdots)q^{17}+\cdots$$
1440.1.p.a $1$ $0.719$ $$\Q$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-10})$$ $$\Q(\sqrt{6})$$ $$0$$ $$0$$ $$-1$$ $$0$$ $$q-q^{5}+2q^{19}+2q^{23}+q^{25}-2q^{47}+\cdots$$
1440.1.p.b $1$ $0.719$ $$\Q$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-10})$$ $$\Q(\sqrt{6})$$ $$0$$ $$0$$ $$1$$ $$0$$ $$q+q^{5}+2q^{19}-2q^{23}+q^{25}+2q^{47}+\cdots$$
1440.1.y.a $4$ $0.719$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $$q+\zeta_{8}^{3}q^{5}+(1-\zeta_{8}^{2})q^{7}+(-\zeta_{8}-\zeta_{8}^{3}+\cdots)q^{11}+\cdots$$
1440.1.bh.a $2$ $0.719$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-q^{5}+(1+i)q^{13}+(1-i)q^{17}+q^{25}+\cdots$$
1440.1.bh.b $2$ $0.719$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{5}+(-1-i)q^{13}+(1-i)q^{17}+\cdots$$
1440.1.bh.c $2$ $0.719$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+q^{5}+(1+i)q^{13}+(-1+i)q^{17}+\cdots$$
1440.1.cd.a $8$ $0.719$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{7}q^{3}-\zeta_{24}^{10}q^{5}+(-\zeta_{24}-\zeta_{24}^{3}+\cdots)q^{7}+\cdots$$
1440.1.cm.a $8$ $0.719$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{16}^{3}q^{2}+\zeta_{16}^{6}q^{4}-\zeta_{16}^{5}q^{5}+\cdots$$
1440.2.a.a $1$ $11.498$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$-4$$ $-$ $$q-q^{5}-4q^{7}-2q^{13}+6q^{17}+4q^{23}+\cdots$$
1440.2.a.b $1$ $11.498$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$-2$$ $+$ $$q-q^{5}-2q^{7}+2q^{11}+2q^{17}-4q^{19}+\cdots$$
1440.2.a.c $1$ $11.498$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$0$$ $+$ $$q-q^{5}+2q^{13}-6q^{17}-4q^{19}-8q^{23}+\cdots$$
1440.2.a.d $1$ $11.498$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$0$$ $-$ $$q-q^{5}+2q^{13}-6q^{17}+4q^{19}+8q^{23}+\cdots$$
1440.2.a.e $1$ $11.498$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$2$$ $-$ $$q-q^{5}+2q^{7}-2q^{11}+2q^{17}+4q^{19}+\cdots$$
1440.2.a.f $1$ $11.498$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$4$$ $-$ $$q-q^{5}+4q^{7}-2q^{13}+6q^{17}-4q^{23}+\cdots$$
1440.2.a.g $1$ $11.498$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-4$$ $+$ $$q+q^{5}-4q^{7}-4q^{11}+6q^{13}-2q^{17}+\cdots$$
1440.2.a.h $1$ $11.498$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-2$$ $+$ $$q+q^{5}-2q^{7}-2q^{11}-2q^{17}-4q^{19}+\cdots$$
1440.2.a.i $1$ $11.498$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-2$$ $-$ $$q+q^{5}-2q^{7}+4q^{11}-6q^{13}-2q^{17}+\cdots$$
1440.2.a.j $1$ $11.498$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$0$$ $-$ $$q+q^{5}-4q^{11}+2q^{13}+2q^{17}+8q^{19}+\cdots$$
1440.2.a.k $1$ $11.498$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$0$$ $-$ $$q+q^{5}+4q^{11}+2q^{13}+2q^{17}-8q^{19}+\cdots$$
1440.2.a.l $1$ $11.498$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$2$$ $+$ $$q+q^{5}+2q^{7}-4q^{11}-6q^{13}-2q^{17}+\cdots$$
1440.2.a.m $1$ $11.498$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$2$$ $-$ $$q+q^{5}+2q^{7}+2q^{11}-2q^{17}+4q^{19}+\cdots$$
1440.2.a.n $1$ $11.498$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$4$$ $-$ $$q+q^{5}+4q^{7}+4q^{11}+6q^{13}-2q^{17}+\cdots$$
1440.2.a.o $2$ $11.498$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $+$ $$q-q^{5}+\beta q^{7}-2\beta q^{11}-2q^{13}-2q^{17}+\cdots$$
1440.2.a.p $2$ $11.498$ $$\Q(\sqrt{5})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $-$ $$q-q^{5}-\beta q^{7}-\beta q^{11}+4q^{13}-2q^{17}+\cdots$$
1440.2.a.q $2$ $11.498$ $$\Q(\sqrt{5})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $-$ $$q+q^{5}-\beta q^{7}+\beta q^{11}+4q^{13}+2q^{17}+\cdots$$
1440.2.b.a $2$ $11.498$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-q^{5}+3\beta q^{7}+\beta q^{11}-3\beta q^{13}+2\beta q^{17}+\cdots$$
1440.2.b.b $2$ $11.498$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q+q^{5}+3\beta q^{7}-\beta q^{11}-3\beta q^{13}-2\beta q^{17}+\cdots$$
1440.2.b.c $6$ $11.498$ 6.0.2580992.1 None None $$0$$ $$0$$ $$-6$$ $$0$$ $$q-q^{5}-\beta _{1}q^{7}+(\beta _{1}+\beta _{3})q^{11}+(\beta _{1}+\cdots)q^{13}+\cdots$$
1440.2.b.d $6$ $11.498$ 6.0.2580992.1 None None $$0$$ $$0$$ $$6$$ $$0$$ $$q+q^{5}-\beta _{1}q^{7}+(-\beta _{1}-\beta _{3})q^{11}+(\beta _{1}+\cdots)q^{13}+\cdots$$
1440.2.d.a $4$ $11.498$ $$\Q(\sqrt{-2}, \sqrt{-5})$$ $$\Q(\sqrt{-30})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{5}-2\beta _{2}q^{11}-\beta _{3}q^{13}+\beta _{1}q^{17}+\cdots$$
1440.2.d.b $4$ $11.498$ $$\Q(\sqrt{2}, \sqrt{-3})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{5}-\beta _{3}q^{7}+(\beta _{1}+\beta _{2})q^{11}+(-1+\cdots)q^{25}+\cdots$$
1440.2.d.c $4$ $11.498$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}-\beta _{2})q^{5}-\beta _{3}q^{7}-2\beta _{2}q^{11}+\cdots$$
1440.2.d.d $4$ $11.498$ $$\Q(\sqrt{-3}, \sqrt{5})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{5}+2\beta _{2}q^{17}-\beta _{3}q^{19}-\beta _{2}q^{23}+\cdots$$
1440.2.d.e $6$ $11.498$ 6.0.839056.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{5}-\beta _{1}q^{7}+(-\beta _{1}-\beta _{5})q^{11}+\cdots$$
1440.2.d.f $6$ $11.498$ 6.0.839056.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{5}-\beta _{1}q^{7}+(\beta _{1}+\beta _{5})q^{11}+(1+\cdots)q^{13}+\cdots$$
1440.2.f.a $2$ $11.498$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+(-2-i)q^{5}+4iq^{13}-2iq^{17}+\cdots$$
1440.2.f.b $2$ $11.498$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+(-1-i)q^{5}+2iq^{7}-2iq^{13}-8q^{19}+\cdots$$
1440.2.f.c $2$ $11.498$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+(-1-i)q^{5}+2iq^{13}+4iq^{17}+\cdots$$
1440.2.f.d $2$ $11.498$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+(-1+i)q^{5}+2iq^{7}+2iq^{13}+8q^{19}+\cdots$$
1440.2.f.e $2$ $11.498$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+(2-i)q^{5}+2iq^{7}-6q^{11}-2iq^{13}+\cdots$$
1440.2.f.f $2$ $11.498$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q+(2+i)q^{5}+4iq^{13}+2iq^{17}+(3+\cdots)q^{25}+\cdots$$
1440.2.f.g $2$ $11.498$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+(2+i)q^{5}+2iq^{7}+6q^{11}+2iq^{13}+\cdots$$
1440.2.f.h $4$ $11.498$ $$\Q(i, \sqrt{5})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{5}+\beta _{2}q^{7}-\beta _{3}q^{11}+2\beta _{1}q^{13}+\cdots$$
1440.2.f.i $4$ $11.498$ $$\Q(i, \sqrt{5})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{3}q^{5}-\beta _{1}q^{7}+(-\beta _{1}+2\beta _{2})q^{23}+\cdots$$
1440.2.f.j $8$ $11.498$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{4}q^{5}+\zeta_{24}^{5}q^{7}-\zeta_{24}^{6}q^{11}+\cdots$$
1440.2.h.a $4$ $11.498$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}q^{5}+(2\zeta_{8}-\zeta_{8}^{2})q^{7}+(-4-\zeta_{8}^{3})q^{11}+\cdots$$
1440.2.h.b $4$ $11.498$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}q^{5}+(2\zeta_{8}-\zeta_{8}^{2})q^{7}-\zeta_{8}^{3}q^{11}+\cdots$$
1440.2.h.c $4$ $11.498$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{5}+(2\zeta_{8}-\zeta_{8}^{2})q^{7}+\zeta_{8}^{3}q^{11}+\cdots$$
1440.2.h.d $4$ $11.498$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{5}+(2\zeta_{8}-\zeta_{8}^{2})q^{7}+(4+\zeta_{8}^{3})q^{11}+\cdots$$