## Results (1-50 of 258 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2304.1.b.a $2$ $1.150$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{3})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{13}+q^{25}-iq^{37}+q^{49}+iq^{61}+\cdots$$
2304.1.e.a $2$ $1.150$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta q^{5}-2q^{13}-\beta q^{17}-q^{25}-\beta q^{29}+\cdots$$
2304.1.e.b $2$ $1.150$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{5}+2q^{13}-\beta q^{17}-q^{25}+\beta q^{29}+\cdots$$
2304.1.g.a $1$ $1.150$ $$\Q$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-6})$$ $$\Q(\sqrt{6})$$ $$0$$ $$0$$ $$-2$$ $$0$$ $$q-2q^{5}+3q^{25}+2q^{29}+q^{49}+2q^{53}+\cdots$$
2304.1.g.b $1$ $1.150$ $$\Q$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{2})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+2q^{17}-q^{25}+2q^{41}+q^{49}+2q^{73}+\cdots$$
2304.1.g.c $1$ $1.150$ $$\Q$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-6})$$ $$\Q(\sqrt{6})$$ $$0$$ $$0$$ $$2$$ $$0$$ $$q+2q^{5}+3q^{25}-2q^{29}+q^{49}-2q^{53}+\cdots$$
2304.1.g.d $2$ $1.150$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-6})$$ $$\Q(\sqrt{2})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{7}-q^{25}-iq^{31}-3q^{49}+q^{73}+\cdots$$
2304.1.h.a $4$ $1.150$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{8}+\zeta_{8}^{3})q^{5}+(-\zeta_{8}-\zeta_{8}^{3})q^{17}+\cdots$$
2304.1.m.a $4$ $1.150$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{8}-\zeta_{8}^{3})q^{7}+(-1+\zeta_{8}^{2})q^{13}+\cdots$$
2304.1.m.b $4$ $1.150$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{8}-\zeta_{8}^{3})q^{7}+(1-\zeta_{8}^{2})q^{13}-\zeta_{8}q^{19}+\cdots$$
2304.1.o.a $2$ $1.150$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-1$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+(-1-\zeta_{6})q^{11}+\cdots$$
2304.1.o.b $2$ $1.150$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$1$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+(1+\zeta_{6})q^{11}+q^{17}+\cdots$$
2304.1.o.c $4$ $1.150$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{9}+\zeta_{12}^{5}q^{11}+\cdots$$
2304.1.q.a $2$ $1.150$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-1$$ $$0$$ $$0$$ $$q+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+(1+\zeta_{6})q^{11}+(-\zeta_{6}+\cdots)q^{17}+\cdots$$
2304.1.q.b $2$ $1.150$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$1$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{9}+(-1-\zeta_{6})q^{11}+\cdots$$
2304.1.q.c $4$ $1.150$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{9}-\zeta_{12}^{5}q^{11}+\cdots$$
2304.1.t.a $4$ $1.150$ $$\Q(\zeta_{12})$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q-q^{3}+\zeta_{12}^{5}q^{5}-\zeta_{12}q^{7}+q^{9}-\zeta_{12}^{4}q^{11}+\cdots$$
2304.1.t.b $4$ $1.150$ $$\Q(\zeta_{12})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q+q^{3}+\zeta_{12}^{5}q^{5}+\zeta_{12}q^{7}+q^{9}+\zeta_{12}^{4}q^{11}+\cdots$$
2304.1.z.a $8$ $1.150$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+\zeta_{24}^{5}q^{3}+(-\zeta_{24}^{4}+\zeta_{24}^{10})q^{5}+\cdots$$
2304.1.z.b $8$ $1.150$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+\zeta_{24}^{5}q^{3}+(\zeta_{24}^{4}-\zeta_{24}^{10})q^{5}+(\zeta_{24}^{5}+\cdots)q^{7}+\cdots$$
2304.2.a.a $1$ $18.398$ $$\Q$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $+$ $$q-4q^{5}+4q^{13}+2q^{17}+11q^{25}+\cdots$$
2304.2.a.b $1$ $18.398$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$-2$$ $+$ $$q-2q^{5}-2q^{7}+4q^{13}+2q^{17}+4q^{19}+\cdots$$
2304.2.a.c $1$ $18.398$ $$\Q$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $+$ $$q-2q^{5}-4q^{13}+8q^{17}-q^{25}+10q^{29}+\cdots$$
2304.2.a.d $1$ $18.398$ $$\Q$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $-$ $$q-2q^{5}+4q^{13}-8q^{17}-q^{25}+10q^{29}+\cdots$$
2304.2.a.e $1$ $18.398$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$2$$ $-$ $$q-2q^{5}+2q^{7}+4q^{13}+2q^{17}-4q^{19}+\cdots$$
2304.2.a.f $1$ $18.398$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $-$ $$q-4q^{7}-4q^{11}+4q^{13}+2q^{17}-4q^{19}+\cdots$$
2304.2.a.g $1$ $18.398$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $+$ $$q-4q^{7}+4q^{11}-4q^{13}+2q^{17}+4q^{19}+\cdots$$
2304.2.a.h $1$ $18.398$ $$\Q$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q-6q^{11}+6q^{17}+2q^{19}-5q^{25}+\cdots$$
2304.2.a.i $1$ $18.398$ $$\Q$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+6q^{11}+6q^{17}-2q^{19}-5q^{25}+\cdots$$
2304.2.a.j $1$ $18.398$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $+$ $$q+4q^{7}-4q^{11}-4q^{13}+2q^{17}-4q^{19}+\cdots$$
2304.2.a.k $1$ $18.398$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $-$ $$q+4q^{7}+4q^{11}+4q^{13}+2q^{17}+4q^{19}+\cdots$$
2304.2.a.l $1$ $18.398$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$-2$$ $+$ $$q+2q^{5}-2q^{7}-4q^{13}+2q^{17}-4q^{19}+\cdots$$
2304.2.a.m $1$ $18.398$ $$\Q$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $+$ $$q+2q^{5}-4q^{13}-8q^{17}-q^{25}-10q^{29}+\cdots$$
2304.2.a.n $1$ $18.398$ $$\Q$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $-$ $$q+2q^{5}+4q^{13}+8q^{17}-q^{25}-10q^{29}+\cdots$$
2304.2.a.o $1$ $18.398$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$2$$ $-$ $$q+2q^{5}+2q^{7}-4q^{13}+2q^{17}+4q^{19}+\cdots$$
2304.2.a.p $1$ $18.398$ $$\Q$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $-$ $$q+4q^{5}-4q^{13}+2q^{17}+11q^{25}+\cdots$$
2304.2.a.q $2$ $18.398$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $+$ $$q+\beta q^{5}-2q^{7}-2\beta q^{11}+3q^{25}-\beta q^{29}+\cdots$$
2304.2.a.r $2$ $18.398$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+\beta q^{5}-\beta q^{7}-4q^{11}+2\beta q^{13}+2q^{17}+\cdots$$
2304.2.a.s $2$ $18.398$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q+\beta q^{5}-\beta q^{7}-6q^{17}-4q^{19}-2\beta q^{23}+\cdots$$
2304.2.a.t $2$ $18.398$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q+\beta q^{11}-6q^{17}-3\beta q^{19}-5q^{25}+\cdots$$
2304.2.a.u $2$ $18.398$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+\beta q^{5}+\beta q^{7}-6q^{17}+4q^{19}+2\beta q^{23}+\cdots$$
2304.2.a.v $2$ $18.398$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q+\beta q^{7}-2\beta q^{13}-8q^{19}-5q^{25}+\cdots$$
2304.2.a.w $2$ $18.398$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q-\beta q^{7}-2\beta q^{13}+8q^{19}-5q^{25}+\cdots$$
2304.2.a.x $2$ $18.398$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+\beta q^{5}+\beta q^{7}+4q^{11}+2\beta q^{13}+2q^{17}+\cdots$$
2304.2.a.y $2$ $18.398$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $-$ $$q+\beta q^{5}+2q^{7}+2\beta q^{11}+3q^{25}-\beta q^{29}+\cdots$$
2304.2.a.z $4$ $18.398$ $$\Q(\zeta_{24})^+$$ $$\Q(\sqrt{-6})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+\beta _{2}q^{5}+\beta _{1}q^{7}+\beta _{3}q^{11}+7q^{25}+\cdots$$
2304.2.c.a $2$ $18.398$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{5}-2\beta q^{7}-4q^{11}-2q^{13}+\beta q^{17}+\cdots$$
2304.2.c.b $2$ $18.398$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{5}-2\beta q^{7}-4q^{11}+2q^{13}-\beta q^{17}+\cdots$$
2304.2.c.c $2$ $18.398$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+3\beta q^{5}-6q^{13}-5\beta q^{17}-13q^{25}+\cdots$$
2304.2.c.d $2$ $18.398$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{5}-6q^{13}-3\beta q^{17}+3q^{25}+\cdots$$