## Results (46 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2888.1.f.a $1$ $1.441$ $$\Q$$ $$\Q(\sqrt{-2})$$ None $$-1$$ $$1$$ $$0$$ $$0$$ $$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}-q^{11}+\cdots$$
2888.1.f.b $1$ $1.441$ $$\Q$$ $$\Q(\sqrt{-2})$$ None $$1$$ $$-1$$ $$0$$ $$0$$ $$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}-q^{11}+\cdots$$
2888.1.f.c $3$ $1.441$ $$\Q(\zeta_{18})^+$$ $$\Q(\sqrt{-2})$$ None $$-3$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}-q^{8}+\cdots$$
2888.1.f.d $3$ $1.441$ $$\Q(\zeta_{18})^+$$ $$\Q(\sqrt{-2})$$ None $$3$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+q^{8}+\cdots$$
2888.1.k.a $2$ $1.441$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$1$$ $$-1$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots$$
2888.1.k.b $6$ $1.441$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$-3$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{18}^{3}q^{2}+(-\zeta_{18}-\zeta_{18}^{5})q^{3}+\zeta_{18}^{6}q^{4}+\cdots$$
2888.1.k.c $6$ $1.441$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$3$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{18}^{3}q^{2}+(-\zeta_{18}^{2}-\zeta_{18}^{4})q^{3}+\cdots$$
2888.1.l.a $2$ $1.441$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-38})$$ None $$-1$$ $$1$$ $$0$$ $$-2$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots$$
2888.1.l.b $2$ $1.441$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-38})$$ None $$1$$ $$-1$$ $$0$$ $$-2$$ $$q-\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots$$
2888.1.s.a $6$ $1.441$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-38})$$ None $$0$$ $$0$$ $$0$$ $$3$$ $$q-\zeta_{18}^{5}q^{2}-\zeta_{18}^{2}q^{3}-\zeta_{18}q^{4}+\zeta_{18}^{7}q^{6}+\cdots$$
2888.1.s.b $6$ $1.441$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-38})$$ None $$0$$ $$0$$ $$0$$ $$3$$ $$q+\zeta_{18}^{5}q^{2}+\zeta_{18}^{2}q^{3}-\zeta_{18}q^{4}+\zeta_{18}^{7}q^{6}+\cdots$$
2888.1.u.a $6$ $1.441$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-6$$ $$0$$ $$0$$ $$q+\zeta_{18}^{5}q^{2}+(-1-\zeta_{18}^{4})q^{3}-\zeta_{18}q^{4}+\cdots$$
2888.1.u.b $6$ $1.441$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-3$$ $$0$$ $$0$$ $$q-\zeta_{18}^{5}q^{2}+(-\zeta_{18}-\zeta_{18}^{3})q^{3}-\zeta_{18}q^{4}+\cdots$$
2888.1.u.c $6$ $1.441$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{18}^{5}q^{2}-\zeta_{18}^{2}q^{3}-\zeta_{18}q^{4}+\zeta_{18}^{7}q^{6}+\cdots$$
2888.1.u.d $6$ $1.441$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{18}^{5}q^{2}+\zeta_{18}^{2}q^{3}-\zeta_{18}q^{4}+\zeta_{18}^{7}q^{6}+\cdots$$
2888.1.u.e $6$ $1.441$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$3$$ $$0$$ $$0$$ $$q+\zeta_{18}^{5}q^{2}+(-\zeta_{18}^{6}+\zeta_{18}^{7})q^{3}+\cdots$$
2888.1.u.f $6$ $1.441$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$3$$ $$0$$ $$0$$ $$q+\zeta_{18}^{5}q^{2}+(\zeta_{18}+\zeta_{18}^{3})q^{3}-\zeta_{18}q^{4}+\cdots$$
2888.1.u.g $6$ $1.441$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$6$$ $$0$$ $$0$$ $$q-\zeta_{18}^{5}q^{2}+(1+\zeta_{18}^{4})q^{3}-\zeta_{18}q^{4}+\cdots$$
2888.1.bb.a $18$ $1.441$ $$\Q(\zeta_{38})$$ $$\Q(\sqrt{-2})$$ None $$-1$$ $$17$$ $$0$$ $$0$$ $$q-\zeta_{38}^{3}q^{2}+(1-\zeta_{38}^{17})q^{3}+\zeta_{38}^{6}q^{4}+\cdots$$
2888.1.bm.a $36$ $1.441$ $$\Q(\zeta_{57})$$ $$\Q(\sqrt{-2})$$ None $$1$$ $$-20$$ $$0$$ $$0$$ $$q-\zeta_{114}^{25}q^{2}+(-\zeta_{114}^{15}+\zeta_{114}^{38}+\cdots)q^{3}+\cdots$$
2888.1.bs.a $108$ $1.441$ $$\Q(\zeta_{171})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$3$$ $$0$$ $$0$$ $$q+\zeta_{342}^{70}q^{2}+(\zeta_{342}^{152}+\zeta_{342}^{156})q^{3}+\cdots$$
2888.2.a.a $1$ $23.061$ $$\Q$$ None None $$0$$ $$-1$$ $$-4$$ $$0$$ $+$ $$q-q^{3}-4q^{5}-2q^{9}+3q^{11}-2q^{13}+\cdots$$
2888.2.a.b $1$ $23.061$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$3$$ $+$ $$q-q^{3}+3q^{7}-2q^{9}+2q^{11}-q^{13}+\cdots$$
2888.2.a.c $1$ $23.061$ $$\Q$$ None None $$0$$ $$-1$$ $$3$$ $$0$$ $+$ $$q-q^{3}+3q^{5}-2q^{9}-4q^{11}+5q^{13}+\cdots$$
2888.2.a.d $1$ $23.061$ $$\Q$$ None None $$0$$ $$1$$ $$-4$$ $$0$$ $+$ $$q+q^{3}-4q^{5}-2q^{9}+3q^{11}+2q^{13}+\cdots$$
2888.2.a.e $1$ $23.061$ $$\Q$$ None None $$0$$ $$1$$ $$3$$ $$0$$ $+$ $$q+q^{3}+3q^{5}-2q^{9}-4q^{11}-5q^{13}+\cdots$$
2888.2.a.f $1$ $23.061$ $$\Q$$ None None $$0$$ $$2$$ $$-1$$ $$-3$$ $+$ $$q+2q^{3}-q^{5}-3q^{7}+q^{9}-3q^{11}+\cdots$$
2888.2.a.g $2$ $23.061$ $$\Q(\sqrt{5})$$ None None $$0$$ $$-2$$ $$5$$ $$-4$$ $+$ $$q-2\beta q^{3}+(2+\beta )q^{5}-2q^{7}+(1+4\beta )q^{9}+\cdots$$
2888.2.a.h $2$ $23.061$ $$\Q(\sqrt{17})$$ None None $$0$$ $$-1$$ $$-3$$ $$2$$ $-$ $$q-\beta q^{3}+(-1-\beta )q^{5}+q^{7}+(1+\beta )q^{9}+\cdots$$
2888.2.a.i $2$ $23.061$ $$\Q(\sqrt{5})$$ None None $$0$$ $$-1$$ $$-2$$ $$4$$ $+$ $$q-\beta q^{3}-2\beta q^{5}+(3-2\beta )q^{7}+(-2+\cdots)q^{9}+\cdots$$
2888.2.a.j $2$ $23.061$ $$\Q(\sqrt{17})$$ None None $$0$$ $$1$$ $$-3$$ $$2$$ $+$ $$q+\beta q^{3}+(-1-\beta )q^{5}+q^{7}+(1+\beta )q^{9}+\cdots$$
2888.2.a.k $2$ $23.061$ $$\Q(\sqrt{5})$$ None None $$0$$ $$1$$ $$-2$$ $$4$$ $-$ $$q+\beta q^{3}-2\beta q^{5}+(3-2\beta )q^{7}+(-2+\cdots)q^{9}+\cdots$$
2888.2.a.l $2$ $23.061$ $$\Q(\sqrt{5})$$ None None $$0$$ $$2$$ $$5$$ $$-4$$ $-$ $$q+2\beta q^{3}+(2+\beta )q^{5}-2q^{7}+(1+4\beta )q^{9}+\cdots$$
2888.2.a.m $3$ $23.061$ $$\Q(\zeta_{18})^+$$ None None $$0$$ $$-3$$ $$-3$$ $$-6$$ $+$ $$q+(-1-2\beta _{1}+\beta _{2})q^{3}+(-1-\beta _{2})q^{5}+\cdots$$
2888.2.a.n $3$ $23.061$ 3.3.316.1 None None $$0$$ $$-1$$ $$1$$ $$-2$$ $-$ $$q+(-\beta _{1}+\beta _{2})q^{3}+\beta _{1}q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots$$
2888.2.a.o $3$ $23.061$ 3.3.961.1 None None $$0$$ $$-1$$ $$1$$ $$4$$ $-$ $$q-\beta _{1}q^{3}-\beta _{2}q^{5}+(2-\beta _{1}+\beta _{2})q^{7}+\cdots$$
2888.2.a.p $3$ $23.061$ $$\Q(\zeta_{18})^+$$ None None $$0$$ $$0$$ $$0$$ $$-3$$ $+$ $$q-\beta _{1}q^{3}+(\beta _{1}-\beta _{2})q^{5}+(-1-2\beta _{1}+\cdots)q^{7}+\cdots$$
2888.2.a.q $3$ $23.061$ $$\Q(\zeta_{18})^+$$ None None $$0$$ $$0$$ $$0$$ $$-3$$ $+$ $$q+\beta _{1}q^{3}+(\beta _{1}-\beta _{2})q^{5}+(-1-2\beta _{1}+\cdots)q^{7}+\cdots$$
2888.2.a.r $3$ $23.061$ 3.3.316.1 None None $$0$$ $$1$$ $$1$$ $$-2$$ $-$ $$q+(\beta _{1}-\beta _{2})q^{3}+\beta _{1}q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots$$
2888.2.a.s $3$ $23.061$ $$\Q(\zeta_{18})^+$$ None None $$0$$ $$3$$ $$-3$$ $$-6$$ $+$ $$q+(1+2\beta _{1}-\beta _{2})q^{3}+(-1-\beta _{2})q^{5}+\cdots$$
2888.2.a.t $6$ $23.061$ 6.6.3022625.1 None None $$0$$ $$-3$$ $$2$$ $$-2$$ $+$ $$q+(-1-\beta _{2})q^{3}+(-\beta _{1}-\beta _{5})q^{5}+(\beta _{2}+\cdots)q^{7}+\cdots$$
2888.2.a.u $6$ $23.061$ 6.6.3022625.1 None None $$0$$ $$3$$ $$2$$ $$-2$$ $-$ $$q+(1+\beta _{2})q^{3}+(-\beta _{1}-\beta _{5})q^{5}+(\beta _{2}+\cdots)q^{7}+\cdots$$
2888.2.a.v $8$ $23.061$ 8.8.$$\cdots$$.1 None None $$0$$ $$-6$$ $$-2$$ $$-2$$ $+$ $$q+(-1+\beta _{1})q^{3}+(-1+\beta _{3}+\beta _{4}-\beta _{5}+\cdots)q^{5}+\cdots$$
2888.2.a.w $8$ $23.061$ 8.8.$$\cdots$$.1 None None $$0$$ $$6$$ $$-2$$ $$-2$$ $-$ $$q+(1-\beta _{1})q^{3}+(-1+\beta _{3}+\beta _{4}-\beta _{5}+\cdots)q^{5}+\cdots$$
2888.2.a.x $9$ $23.061$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None None $$0$$ $$-3$$ $$3$$ $$9$$ $-$ $$q-\beta _{1}q^{3}+(\beta _{4}+\beta _{5})q^{5}+(1+\beta _{6})q^{7}+\cdots$$
2888.2.a.y $9$ $23.061$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None None $$0$$ $$3$$ $$3$$ $$9$$ $-$ $$q+\beta _{1}q^{3}+(\beta _{4}+\beta _{5})q^{5}+(1+\beta _{6})q^{7}+\cdots$$