## Results (1-50 of 140 matches)

Label Dim $A$ Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
770.2.a.a $1$ $6.148$ $$\Q$$ None $$-1$$ $$-2$$ $$-1$$ $$1$$ $-$ $$q-q^{2}-2q^{3}+q^{4}-q^{5}+2q^{6}+q^{7}+\cdots$$
770.2.a.b $1$ $6.148$ $$\Q$$ None $$-1$$ $$-2$$ $$1$$ $$-1$$ $+$ $$q-q^{2}-2q^{3}+q^{4}+q^{5}+2q^{6}-q^{7}+\cdots$$
770.2.a.c $1$ $6.148$ $$\Q$$ None $$-1$$ $$0$$ $$1$$ $$-1$$ $-$ $$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-3q^{9}+\cdots$$
770.2.a.d $1$ $6.148$ $$\Q$$ None $$-1$$ $$0$$ $$1$$ $$1$$ $+$ $$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-3q^{9}+\cdots$$
770.2.a.e $1$ $6.148$ $$\Q$$ None $$-1$$ $$2$$ $$-1$$ $$1$$ $-$ $$q-q^{2}+2q^{3}+q^{4}-q^{5}-2q^{6}+q^{7}+\cdots$$
770.2.a.f $1$ $6.148$ $$\Q$$ None $$1$$ $$-2$$ $$-1$$ $$1$$ $+$ $$q+q^{2}-2q^{3}+q^{4}-q^{5}-2q^{6}+q^{7}+\cdots$$
770.2.a.g $1$ $6.148$ $$\Q$$ None $$1$$ $$-2$$ $$1$$ $$1$$ $-$ $$q+q^{2}-2q^{3}+q^{4}+q^{5}-2q^{6}+q^{7}+\cdots$$
770.2.a.h $2$ $6.148$ $$\Q(\sqrt{3})$$ None $$-2$$ $$2$$ $$2$$ $$2$$ $-$ $$q-q^{2}+(1+\beta )q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots$$
770.2.a.i $2$ $6.148$ $$\Q(\sqrt{2})$$ None $$2$$ $$0$$ $$-2$$ $$-2$$ $-$ $$q+q^{2}+\beta q^{3}+q^{4}-q^{5}+\beta q^{6}-q^{7}+\cdots$$
770.2.a.j $2$ $6.148$ $$\Q(\sqrt{3})$$ None $$2$$ $$2$$ $$-2$$ $$2$$ $-$ $$q+q^{2}+(1+\beta )q^{3}+q^{4}-q^{5}+(1+\beta )q^{6}+\cdots$$
770.2.a.k $2$ $6.148$ $$\Q(\sqrt{33})$$ None $$2$$ $$4$$ $$2$$ $$2$$ $-$ $$q+q^{2}+2q^{3}+q^{4}+q^{5}+2q^{6}+q^{7}+\cdots$$
770.2.a.l $3$ $6.148$ 3.3.892.1 None $$-3$$ $$0$$ $$-3$$ $$-3$$ $-$ $$q-q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots$$
770.2.a.m $3$ $6.148$ 3.3.316.1 None $$3$$ $$2$$ $$3$$ $$-3$$ $-$ $$q+q^{2}+(1+\beta _{2})q^{3}+q^{4}+q^{5}+(1+\beta _{2})q^{6}+\cdots$$
770.2.c.a $2$ $6.148$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q-iq^{2}-q^{4}+(-2+i)q^{5}-iq^{7}+\cdots$$
770.2.c.b $2$ $6.148$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q-iq^{2}-q^{4}+(1-2i)q^{5}-iq^{7}+iq^{8}+\cdots$$
770.2.c.c $2$ $6.148$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q+iq^{2}-q^{4}+(2-i)q^{5}+iq^{7}-iq^{8}+\cdots$$
770.2.c.d $4$ $6.148$ $$\Q(i, \sqrt{6})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q-\beta _{1}q^{2}+\beta _{2}q^{3}-q^{4}+(-1-2\beta _{1}+\cdots)q^{5}+\cdots$$
770.2.c.e $8$ $6.148$ 8.0.1698758656.6 None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+\beta _{5}q^{2}+\beta _{4}q^{3}-q^{4}-\beta _{6}q^{5}+\beta _{1}q^{6}+\cdots$$
770.2.c.f $10$ $6.148$ 10.0.$$\cdots$$.1 None $$0$$ $$0$$ $$2$$ $$0$$ $$q+\beta _{4}q^{2}+\beta _{7}q^{3}-q^{4}+\beta _{5}q^{5}+\beta _{1}q^{6}+\cdots$$
770.2.e.a $16$ $6.148$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{10}q^{2}+\beta _{1}q^{3}-q^{4}-\beta _{10}q^{5}+\cdots$$
770.2.e.b $16$ $6.148$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{10}q^{2}+\beta _{1}q^{3}-q^{4}-\beta _{10}q^{5}+\cdots$$
770.2.g.a $24$ $6.148$ None $$-24$$ $$0$$ $$0$$ $$2$$
770.2.g.b $24$ $6.148$ None $$24$$ $$0$$ $$0$$ $$-2$$
770.2.i.a $2$ $6.148$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-1$$ $$1$$ $$5$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
770.2.i.b $2$ $6.148$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$1$$ $$-1$$ $$-1$$ $$q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
770.2.i.c $2$ $6.148$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$1$$ $$-1$$ $$-1$$ $$q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
770.2.i.d $2$ $6.148$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-3$$ $$-1$$ $$1$$ $$q+\zeta_{6}q^{2}+(-3+3\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
770.2.i.e $2$ $6.148$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$-1$$ $$-5$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
770.2.i.f $2$ $6.148$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$-1$$ $$5$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
770.2.i.g $2$ $6.148$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$1$$ $$-1$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
770.2.i.h $2$ $6.148$ $$\Q(\sqrt{-3})$$ None $$1$$ $$1$$ $$1$$ $$5$$ $$q+\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
770.2.i.i $2$ $6.148$ $$\Q(\sqrt{-3})$$ None $$1$$ $$3$$ $$-1$$ $$5$$ $$q+\zeta_{6}q^{2}+(3-3\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
770.2.i.j $6$ $6.148$ $$\Q(\zeta_{18})$$ None $$3$$ $$0$$ $$-3$$ $$0$$ $$q+(1-\zeta_{18}^{3})q^{2}+(-\zeta_{18}+\zeta_{18}^{2}+\zeta_{18}^{4}+\cdots)q^{3}+\cdots$$
770.2.i.k $6$ $6.148$ 6.0.64827.1 None $$3$$ $$0$$ $$3$$ $$0$$ $$q+(1-\beta _{5})q^{2}+(-\beta _{1}+\beta _{2}+\beta _{3}+\beta _{4}+\cdots)q^{3}+\cdots$$
770.2.i.l $8$ $6.148$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$-4$$ $$1$$ $$4$$ $$3$$ $$q+(-1-\beta _{5})q^{2}+\beta _{1}q^{3}+\beta _{5}q^{4}+(1+\cdots)q^{5}+\cdots$$
770.2.i.m $10$ $6.148$ $$\mathbb{Q}[x]/(x^{10} + \cdots)$$ None $$-5$$ $$0$$ $$-5$$ $$0$$ $$q+(-1+\beta _{6})q^{2}+(\beta _{1}-\beta _{2})q^{3}-\beta _{6}q^{4}+\cdots$$
770.2.l.a $16$ $6.148$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{12}q^{2}+\beta _{1}q^{3}-\beta _{8}q^{4}+(\beta _{2}+\beta _{13}+\cdots)q^{5}+\cdots$$
770.2.l.b $24$ $6.148$ None $$0$$ $$0$$ $$0$$ $$0$$
770.2.l.c $40$ $6.148$ None $$0$$ $$0$$ $$0$$ $$0$$
770.2.m.a $4$ $6.148$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$-8$$ $$0$$ $$q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+(-2-\zeta_{8}^{2})q^{5}+\cdots$$
770.2.m.b $4$ $6.148$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q+\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+(1+2\zeta_{8}^{2})q^{5}+\cdots$$
770.2.m.c $4$ $6.148$ $$\Q(\zeta_{8})$$ None $$0$$ $$8$$ $$-4$$ $$0$$ $$q+\zeta_{8}q^{2}+(2+2\zeta_{8}^{2})q^{3}+\zeta_{8}^{2}q^{4}+\cdots$$
770.2.m.d $8$ $6.148$ 8.0.40960000.1 None $$0$$ $$-4$$ $$16$$ $$0$$ $$q-\beta _{7}q^{2}+\beta _{5}q^{3}-\beta _{2}q^{4}+(2-\beta _{2}+\cdots)q^{5}+\cdots$$
770.2.m.e $16$ $6.148$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$-8$$ $$-8$$ $$0$$ $$q-\beta _{10}q^{2}+(-1-\beta _{3}+\beta _{7}-\beta _{15})q^{3}+\cdots$$
770.2.m.f $36$ $6.148$ None $$0$$ $$-4$$ $$0$$ $$0$$
770.2.n.a $4$ $6.148$ $$\Q(\zeta_{10})$$ None $$-1$$ $$-3$$ $$-1$$ $$-1$$ $$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$$
770.2.n.b $4$ $6.148$ $$\Q(\zeta_{10})$$ None $$1$$ $$-4$$ $$1$$ $$1$$ $$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(-\zeta_{10}+\cdots)q^{3}+\cdots$$
770.2.n.c $4$ $6.148$ $$\Q(\zeta_{10})$$ None $$1$$ $$-2$$ $$1$$ $$-1$$ $$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(-\zeta_{10}+\cdots)q^{3}+\cdots$$
770.2.n.d $4$ $6.148$ $$\Q(\zeta_{10})$$ None $$1$$ $$2$$ $$1$$ $$-1$$ $$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(\zeta_{10}+\cdots)q^{3}+\cdots$$
770.2.n.e $8$ $6.148$ 8.0.682515625.5 None $$2$$ $$-1$$ $$2$$ $$2$$ $$q+\beta _{2}q^{2}+(\beta _{1}+\beta _{4}-\beta _{6})q^{3}+\beta _{3}q^{4}+\cdots$$