## Results (48 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2760.1.o.a $1$ $1.377$ $$\Q$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-690})$$ $$\Q(\sqrt{46})$$ $$-1$$ $$1$$ $$-1$$ $$0$$ $$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$$
2760.1.o.b $1$ $1.377$ $$\Q$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-690})$$ $$\Q(\sqrt{46})$$ $$-1$$ $$1$$ $$1$$ $$0$$ $$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots$$
2760.1.o.c $1$ $1.377$ $$\Q$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-690})$$ $$\Q(\sqrt{46})$$ $$1$$ $$-1$$ $$-1$$ $$0$$ $$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots$$
2760.1.o.d $1$ $1.377$ $$\Q$$ $$\Q(\sqrt{-15})$$, $$\Q(\sqrt{-690})$$ $$\Q(\sqrt{46})$$ $$1$$ $$-1$$ $$1$$ $$0$$ $$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$$
2760.1.bv.a $4$ $1.377$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{2}q^{3}-\zeta_{8}^{3}q^{5}-\zeta_{8}^{3}q^{7}-q^{9}+\cdots$$
2760.1.bv.b $4$ $1.377$ $$\Q(\zeta_{8})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q+q^{3}-\zeta_{8}^{3}q^{5}+\zeta_{8}^{3}q^{7}+q^{9}+(1+\cdots)q^{13}+\cdots$$
2760.1.cm.a $10$ $1.377$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-30})$$ None $$-1$$ $$-1$$ $$-1$$ $$0$$ $$q+\zeta_{22}^{8}q^{2}-\zeta_{22}^{9}q^{3}-\zeta_{22}^{5}q^{4}+\cdots$$
2760.1.cm.b $10$ $1.377$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-30})$$ None $$-1$$ $$1$$ $$1$$ $$0$$ $$q+\zeta_{22}^{8}q^{2}+\zeta_{22}^{9}q^{3}-\zeta_{22}^{5}q^{4}+\cdots$$
2760.1.cm.c $10$ $1.377$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-30})$$ None $$1$$ $$-1$$ $$1$$ $$0$$ $$q-\zeta_{22}^{8}q^{2}-\zeta_{22}^{9}q^{3}-\zeta_{22}^{5}q^{4}+\cdots$$
2760.1.cm.d $10$ $1.377$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-30})$$ None $$1$$ $$1$$ $$-1$$ $$0$$ $$q-\zeta_{22}^{8}q^{2}+\zeta_{22}^{9}q^{3}-\zeta_{22}^{5}q^{4}+\cdots$$
2760.1.cm.e $20$ $1.377$ $$\Q(\zeta_{44})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{44}^{3}q^{2}+\zeta_{44}^{21}q^{3}+\zeta_{44}^{6}q^{4}+\cdots$$
2760.1.cm.f $20$ $1.377$ $$\Q(\zeta_{44})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{44}^{5}q^{2}-\zeta_{44}^{21}q^{3}+\zeta_{44}^{10}q^{4}+\cdots$$
2760.1.co.a $10$ $1.377$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-15})$$ None $$-1$$ $$1$$ $$-1$$ $$0$$ $$q-\zeta_{22}^{5}q^{2}-\zeta_{22}^{2}q^{3}+\zeta_{22}^{10}q^{4}+\cdots$$
2760.1.co.b $10$ $1.377$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-15})$$ None $$-1$$ $$1$$ $$1$$ $$0$$ $$q-\zeta_{22}q^{2}-\zeta_{22}^{2}q^{3}+\zeta_{22}^{2}q^{4}+\zeta_{22}^{7}q^{5}+\cdots$$
2760.1.co.c $10$ $1.377$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-15})$$ None $$1$$ $$-1$$ $$-1$$ $$0$$ $$q+\zeta_{22}q^{2}+\zeta_{22}^{2}q^{3}+\zeta_{22}^{2}q^{4}-\zeta_{22}^{7}q^{5}+\cdots$$
2760.1.co.d $10$ $1.377$ $$\Q(\zeta_{22})$$ $$\Q(\sqrt{-15})$$ None $$1$$ $$-1$$ $$1$$ $$0$$ $$q+\zeta_{22}^{5}q^{2}+\zeta_{22}^{2}q^{3}+\zeta_{22}^{10}q^{4}+\cdots$$
2760.2.a.a $1$ $22.039$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$0$$ $-$ $$q-q^{3}-q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots$$
2760.2.a.b $1$ $22.039$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$3$$ $-$ $$q-q^{3}-q^{5}+3q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots$$
2760.2.a.c $1$ $22.039$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$4$$ $-$ $$q-q^{3}-q^{5}+4q^{7}+q^{9}-6q^{11}-4q^{13}+\cdots$$
2760.2.a.d $1$ $22.039$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$4$$ $-$ $$q-q^{3}-q^{5}+4q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots$$
2760.2.a.e $1$ $22.039$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$0$$ $+$ $$q-q^{3}+q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots$$
2760.2.a.f $1$ $22.039$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$1$$ $+$ $$q-q^{3}+q^{5}+q^{7}+q^{9}-4q^{13}-q^{15}+\cdots$$
2760.2.a.g $1$ $22.039$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$2$$ $-$ $$q-q^{3}+q^{5}+2q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots$$
2760.2.a.h $1$ $22.039$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$0$$ $+$ $$q+q^{3}-q^{5}+q^{9}-2q^{13}-q^{15}-6q^{17}+\cdots$$
2760.2.a.i $1$ $22.039$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$3$$ $+$ $$q+q^{3}-q^{5}+3q^{7}+q^{9}-6q^{11}-2q^{13}+\cdots$$
2760.2.a.j $1$ $22.039$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$-3$$ $+$ $$q+q^{3}+q^{5}-3q^{7}+q^{9}-4q^{11}+q^{15}+\cdots$$
2760.2.a.k $1$ $22.039$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$0$$ $-$ $$q+q^{3}+q^{5}+q^{9}+2q^{11}+q^{15}+6q^{17}+\cdots$$
2760.2.a.l $2$ $22.039$ $$\Q(\sqrt{11})$$ None None $$0$$ $$-2$$ $$-2$$ $$-6$$ $-$ $$q-q^{3}-q^{5}-3q^{7}+q^{9}+(-1-\beta )q^{11}+\cdots$$
2760.2.a.m $2$ $22.039$ $$\Q(\sqrt{17})$$ None None $$0$$ $$-2$$ $$-2$$ $$-3$$ $+$ $$q-q^{3}-q^{5}+(-1-\beta )q^{7}+q^{9}+2q^{11}+\cdots$$
2760.2.a.n $2$ $22.039$ $$\Q(\sqrt{2})$$ None None $$0$$ $$-2$$ $$2$$ $$-2$$ $+$ $$q-q^{3}+q^{5}+(-1+2\beta )q^{7}+q^{9}-\beta q^{11}+\cdots$$
2760.2.a.o $2$ $22.039$ $$\Q(\sqrt{33})$$ None None $$0$$ $$-2$$ $$2$$ $$1$$ $-$ $$q-q^{3}+q^{5}+\beta q^{7}+q^{9}+4q^{11}+(-2+\cdots)q^{13}+\cdots$$
2760.2.a.p $2$ $22.039$ $$\Q(\sqrt{17})$$ None None $$0$$ $$2$$ $$-2$$ $$-1$$ $-$ $$q+q^{3}-q^{5}-\beta q^{7}+q^{9}-2\beta q^{11}+\cdots$$
2760.2.a.q $2$ $22.039$ $$\Q(\sqrt{2})$$ None None $$0$$ $$2$$ $$2$$ $$-2$$ $+$ $$q+q^{3}+q^{5}-q^{7}+q^{9}+(-2+3\beta )q^{11}+\cdots$$
2760.2.a.r $3$ $22.039$ 3.3.316.1 None None $$0$$ $$3$$ $$-3$$ $$-6$$ $+$ $$q+q^{3}-q^{5}+(-2+\beta _{2})q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots$$
2760.2.a.s $3$ $22.039$ 3.3.1436.1 None None $$0$$ $$3$$ $$-3$$ $$-2$$ $-$ $$q+q^{3}-q^{5}+(-1+\beta _{2})q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots$$
2760.2.a.t $3$ $22.039$ 3.3.229.1 None None $$0$$ $$3$$ $$3$$ $$1$$ $-$ $$q+q^{3}+q^{5}-\beta _{1}q^{7}+q^{9}+(1-\beta _{2})q^{13}+\cdots$$
2760.2.a.u $3$ $22.039$ 3.3.568.1 None None $$0$$ $$3$$ $$3$$ $$2$$ $-$ $$q+q^{3}+q^{5}+(1-2\beta _{1}-\beta _{2})q^{7}+q^{9}+\cdots$$
2760.2.a.v $4$ $22.039$ 4.4.54764.1 None None $$0$$ $$-4$$ $$-4$$ $$0$$ $+$ $$q-q^{3}-q^{5}-\beta _{1}q^{7}+q^{9}-\beta _{3}q^{11}+\cdots$$
2760.2.a.w $5$ $22.039$ 5.5.20087896.1 None None $$0$$ $$-5$$ $$5$$ $$-4$$ $-$ $$q-q^{3}+q^{5}+(-1+\beta _{1})q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots$$
2760.2.k.a $2$ $22.039$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q-iq^{3}+(-2+i)q^{5}+2iq^{7}-q^{9}+\cdots$$
2760.2.k.b $2$ $22.039$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-iq^{3}+(-1+2i)q^{5}-q^{9}+(2+i)q^{15}+\cdots$$
2760.2.k.c $12$ $22.039$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{6}q^{3}-\beta _{10}q^{5}+\beta _{1}q^{7}-q^{9}+\beta _{2}q^{11}+\cdots$$
2760.2.k.d $14$ $22.039$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q+\beta _{2}q^{3}-\beta _{12}q^{5}+(\beta _{2}+\beta _{10})q^{7}+\cdots$$
2760.2.k.e $16$ $22.039$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+\beta _{3}q^{3}-\beta _{5}q^{5}+\beta _{1}q^{7}-q^{9}+\beta _{14}q^{11}+\cdots$$
2760.2.k.f $22$ $22.039$ None None $$0$$ $$0$$ $$-2$$ $$0$$
2760.2.p.a $48$ $22.039$ None None $$0$$ $$0$$ $$-48$$ $$0$$
2760.2.p.b $48$ $22.039$ None None $$0$$ $$0$$ $$48$$ $$0$$
2760.3.g.a $96$ $75.205$ None None $$0$$ $$0$$ $$0$$ $$0$$