## Results (1-50 of 148 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
280.1.c.a $4$ $0.140$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{2}q^{2}+(-\zeta_{8}-\zeta_{8}^{3})q^{3}-q^{4}+\cdots$$
280.1.bi.a $2$ $0.140$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-10})$$ None $$-1$$ $$0$$ $$-1$$ $$2$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{5}+q^{7}+\cdots$$
280.1.bi.b $2$ $0.140$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-10})$$ None $$1$$ $$0$$ $$1$$ $$-2$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{5}-q^{7}+\cdots$$
280.2.a.a $1$ $2.236$ $$\Q$$ None None $$0$$ $$-3$$ $$1$$ $$1$$ $+$ $$q-3q^{3}+q^{5}+q^{7}+6q^{9}-5q^{11}+\cdots$$
280.2.a.b $1$ $2.236$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$-1$$ $+$ $$q-q^{3}-q^{5}-q^{7}-2q^{9}-5q^{11}+q^{13}+\cdots$$
280.2.a.c $2$ $2.236$ $$\Q(\sqrt{33})$$ None None $$0$$ $$-1$$ $$-2$$ $$-2$$ $-$ $$q-\beta q^{3}-q^{5}-q^{7}+(5+\beta )q^{9}+(4-\beta )q^{11}+\cdots$$
280.2.a.d $2$ $2.236$ $$\Q(\sqrt{17})$$ None None $$0$$ $$1$$ $$2$$ $$2$$ $-$ $$q+\beta q^{3}+q^{5}+q^{7}+(1+\beta )q^{9}-\beta q^{11}+\cdots$$
280.2.b.a $2$ $2.236$ $$\Q(\sqrt{-1})$$ None None $$2$$ $$0$$ $$0$$ $$-2$$ $$q+(1+i)q^{2}+2iq^{3}+2iq^{4}-iq^{5}+\cdots$$
280.2.b.b $2$ $2.236$ $$\Q(\sqrt{-1})$$ None None $$2$$ $$0$$ $$0$$ $$2$$ $$q+(1+i)q^{2}+2iq^{3}+2iq^{4}+iq^{5}+\cdots$$
280.2.b.c $8$ $2.236$ 8.0.18939904.2 None None $$0$$ $$0$$ $$0$$ $$-8$$ $$q-\beta _{6}q^{2}+(-\beta _{5}+\beta _{7})q^{3}+(-1-\beta _{1}+\cdots)q^{4}+\cdots$$
280.2.b.d $12$ $2.236$ 12.0.$$\cdots$$.1 None None $$-2$$ $$0$$ $$0$$ $$12$$ $$q+\beta _{6}q^{2}+(\beta _{1}-\beta _{3}+\beta _{7})q^{3}+(-\beta _{1}+\cdots)q^{4}+\cdots$$
280.2.g.a $2$ $2.236$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+iq^{3}+(2-i)q^{5}+iq^{7}+2q^{9}-q^{11}+\cdots$$
280.2.g.b $6$ $2.236$ 6.0.5161984.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{5}q^{3}+(\beta _{1}-\beta _{5})q^{5}+\beta _{4}q^{7}+(-1+\cdots)q^{9}+\cdots$$
280.2.h.a $16$ $2.236$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$1$$ $$0$$ $$-16$$ $$0$$ $$q+\beta _{5}q^{2}+\beta _{4}q^{3}+\beta _{9}q^{4}-q^{5}+\beta _{6}q^{6}+\cdots$$
280.2.h.b $16$ $2.236$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$1$$ $$0$$ $$16$$ $$0$$ $$q+\beta _{5}q^{2}-\beta _{4}q^{3}+\beta _{9}q^{4}+q^{5}-\beta _{6}q^{6}+\cdots$$
280.2.l.a $36$ $2.236$ None None $$0$$ $$0$$ $$0$$ $$0$$
280.2.n.a $4$ $2.236$ $$\Q(\sqrt{2}, \sqrt{-5})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+2q^{4}+\beta _{3}q^{5}+(-\beta _{1}+\beta _{3})q^{7}+\cdots$$
280.2.n.b $40$ $2.236$ None None $$0$$ $$0$$ $$0$$ $$0$$
280.2.q.a $2$ $2.236$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$1$$ $$-5$$ $$q+(-1+\zeta_{6})q^{3}+\zeta_{6}q^{5}+(-3+\zeta_{6})q^{7}+\cdots$$
280.2.q.b $2$ $2.236$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$1$$ $$1$$ $$q+(1-\zeta_{6})q^{3}+\zeta_{6}q^{5}+(-1+3\zeta_{6})q^{7}+\cdots$$
280.2.q.c $2$ $2.236$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$2$$ $$1$$ $$4$$ $$q+(2-2\zeta_{6})q^{3}+\zeta_{6}q^{5}+(3-2\zeta_{6})q^{7}+\cdots$$
280.2.q.d $4$ $2.236$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$0$$ $$2$$ $$-2$$ $$-2$$ $$q+(1+\beta _{1}+\beta _{2})q^{3}+\beta _{2}q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots$$
280.2.q.e $6$ $2.236$ 6.0.11337408.1 None None $$0$$ $$0$$ $$-3$$ $$6$$ $$q-\beta _{5}q^{3}+(-1+\beta _{2})q^{5}+(1-\beta _{1}-\beta _{5})q^{7}+\cdots$$
280.2.s.a $8$ $2.236$ 8.0.$$\cdots$$.8 $$\Q(\sqrt{-14})$$ None $$-8$$ $$0$$ $$0$$ $$0$$ $$q+(-1-\beta _{3})q^{2}+(-\beta _{1}-\beta _{4})q^{3}+2\beta _{3}q^{4}+\cdots$$
280.2.s.b $8$ $2.236$ 8.0.$$\cdots$$.8 $$\Q(\sqrt{-14})$$ None $$8$$ $$0$$ $$0$$ $$0$$ $$q+(1+\beta _{4})q^{2}+\beta _{1}q^{3}+2\beta _{4}q^{4}-\beta _{5}q^{5}+\cdots$$
280.2.s.c $72$ $2.236$ None None $$-4$$ $$0$$ $$0$$ $$-4$$
280.2.w.a $72$ $2.236$ None None $$0$$ $$0$$ $$0$$ $$0$$
280.2.x.a $24$ $2.236$ None None $$0$$ $$0$$ $$0$$ $$4$$
280.2.ba.a $8$ $2.236$ 8.0.3317760000.3 $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{4}q^{2}-2\beta _{3}q^{4}+\beta _{6}q^{5}+(\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots$$
280.2.ba.b $80$ $2.236$ None None $$0$$ $$0$$ $$0$$ $$0$$
280.2.bf.a $88$ $2.236$ None None $$0$$ $$0$$ $$0$$ $$0$$
280.2.bg.a $24$ $2.236$ None None $$0$$ $$0$$ $$0$$ $$0$$
280.2.bj.a $4$ $2.236$ $$\Q(\zeta_{12})$$ None None $$-4$$ $$-6$$ $$-2$$ $$0$$ $$q+(-1+\zeta_{12}^{3})q^{2}+(-1-\zeta_{12}^{2})q^{3}+\cdots$$
280.2.bj.b $4$ $2.236$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$-6$$ $$-2$$ $$-10$$ $$q+\beta _{3}q^{2}+(-2-\beta _{1}+\beta _{2}+\beta _{3})q^{3}+\cdots$$
280.2.bj.c $4$ $2.236$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$-6$$ $$2$$ $$10$$ $$q+\beta _{1}q^{2}+(-1+\beta _{1}-\beta _{2})q^{3}+2\beta _{2}q^{4}+\cdots$$
280.2.bj.d $4$ $2.236$ $$\Q(\zeta_{12})$$ None None $$2$$ $$-6$$ $$2$$ $$0$$ $$q+(\zeta_{12}+\zeta_{12}^{2}-\zeta_{12}^{3})q^{2}+(-2+\zeta_{12}^{2}+\cdots)q^{3}+\cdots$$
280.2.bj.e $24$ $2.236$ None None $$-3$$ $$12$$ $$12$$ $$-10$$
280.2.bj.f $24$ $2.236$ None None $$3$$ $$12$$ $$-12$$ $$10$$
280.2.bl.a $4$ $2.236$ $$\Q(\zeta_{12})$$ None None $$-2$$ $$0$$ $$0$$ $$-8$$ $$q+(-\zeta_{12}-\zeta_{12}^{2}+\zeta_{12}^{3})q^{2}+2\zeta_{12}q^{4}+\cdots$$
280.2.bl.b $60$ $2.236$ None None $$4$$ $$0$$ $$0$$ $$8$$
280.2.bo.a $48$ $2.236$ None None $$0$$ $$0$$ $$0$$ $$-4$$
280.2.br.a $176$ $2.236$ None None $$-2$$ $$-4$$ $$0$$ $$0$$
280.2.bv.a $4$ $2.236$ $$\Q(\zeta_{12})$$ None None $$-4$$ $$-2$$ $$-4$$ $$-10$$ $$q+(-1+\zeta_{12}^{3})q^{2}+(-\zeta_{12}^{2}-\zeta_{12}^{3})q^{3}+\cdots$$
280.2.bv.b $4$ $2.236$ $$\Q(\zeta_{12})$$ None None $$-2$$ $$2$$ $$4$$ $$-10$$ $$q+(-1+\zeta_{12}+\zeta_{12}^{2})q^{2}+(\zeta_{12}^{2}+\zeta_{12}^{3})q^{3}+\cdots$$
280.2.bv.c $4$ $2.236$ $$\Q(\zeta_{12})$$ None None $$2$$ $$-4$$ $$4$$ $$0$$ $$q+(1-\zeta_{12}-\zeta_{12}^{2})q^{2}+(-1+\zeta_{12}+\cdots)q^{3}+\cdots$$
280.2.bv.d $4$ $2.236$ $$\Q(\zeta_{12})$$ None None $$4$$ $$4$$ $$-4$$ $$0$$ $$q+(1-\zeta_{12}^{3})q^{2}+(1-\zeta_{12}+\zeta_{12}^{3})q^{3}+\cdots$$
280.2.bv.e $160$ $2.236$ None None $$-2$$ $$0$$ $$0$$ $$12$$
280.3.c.a $1$ $7.629$ $$\Q$$ $$\Q(\sqrt{-70})$$ None $$-2$$ $$0$$ $$-5$$ $$-7$$ $$q-2q^{2}+4q^{4}-5q^{5}-7q^{7}-8q^{8}+\cdots$$
280.3.c.b $1$ $7.629$ $$\Q$$ $$\Q(\sqrt{-70})$$ None $$-2$$ $$0$$ $$5$$ $$7$$ $$q-2q^{2}+4q^{4}+5q^{5}+7q^{7}-8q^{8}+\cdots$$
280.3.c.c $1$ $7.629$ $$\Q$$ $$\Q(\sqrt{-70})$$ None $$2$$ $$0$$ $$-5$$ $$7$$ $$q+2q^{2}+4q^{4}-5q^{5}+7q^{7}+8q^{8}+\cdots$$