Results (1-50 of 265 matches)

Label Dim $A$ Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
650.2.a.a $1$ $5.190$ $$\Q$$ None $$-1$$ $$-3$$ $$0$$ $$0$$ $+$ $$q-q^{2}-3q^{3}+q^{4}+3q^{6}-q^{8}+6q^{9}+\cdots$$
650.2.a.b $1$ $5.190$ $$\Q$$ None $$-1$$ $$-2$$ $$0$$ $$-1$$ $+$ $$q-q^{2}-2q^{3}+q^{4}+2q^{6}-q^{7}-q^{8}+\cdots$$
650.2.a.c $1$ $5.190$ $$\Q$$ None $$-1$$ $$-2$$ $$0$$ $$4$$ $-$ $$q-q^{2}-2q^{3}+q^{4}+2q^{6}+4q^{7}-q^{8}+\cdots$$
650.2.a.d $1$ $5.190$ $$\Q$$ None $$-1$$ $$0$$ $$0$$ $$0$$ $+$ $$q-q^{2}+q^{4}-q^{8}-3q^{9}-q^{13}+q^{16}+\cdots$$
650.2.a.e $1$ $5.190$ $$\Q$$ None $$-1$$ $$1$$ $$0$$ $$4$$ $-$ $$q-q^{2}+q^{3}+q^{4}-q^{6}+4q^{7}-q^{8}+\cdots$$
650.2.a.f $1$ $5.190$ $$\Q$$ None $$-1$$ $$2$$ $$0$$ $$-5$$ $+$ $$q-q^{2}+2q^{3}+q^{4}-2q^{6}-5q^{7}-q^{8}+\cdots$$
650.2.a.g $1$ $5.190$ $$\Q$$ None $$-1$$ $$3$$ $$0$$ $$-1$$ $-$ $$q-q^{2}+3q^{3}+q^{4}-3q^{6}-q^{7}-q^{8}+\cdots$$
650.2.a.h $1$ $5.190$ $$\Q$$ None $$1$$ $$-2$$ $$0$$ $$5$$ $-$ $$q+q^{2}-2q^{3}+q^{4}-2q^{6}+5q^{7}+q^{8}+\cdots$$
650.2.a.i $1$ $5.190$ $$\Q$$ None $$1$$ $$-1$$ $$0$$ $$-4$$ $+$ $$q+q^{2}-q^{3}+q^{4}-q^{6}-4q^{7}+q^{8}+\cdots$$
650.2.a.j $1$ $5.190$ $$\Q$$ None $$1$$ $$-1$$ $$0$$ $$1$$ $-$ $$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{7}+q^{8}+\cdots$$
650.2.a.k $1$ $5.190$ $$\Q$$ None $$1$$ $$2$$ $$0$$ $$1$$ $-$ $$q+q^{2}+2q^{3}+q^{4}+2q^{6}+q^{7}+q^{8}+\cdots$$
650.2.a.l $1$ $5.190$ $$\Q$$ None $$1$$ $$2$$ $$0$$ $$4$$ $-$ $$q+q^{2}+2q^{3}+q^{4}+2q^{6}+4q^{7}+q^{8}+\cdots$$
650.2.a.m $1$ $5.190$ $$\Q$$ None $$1$$ $$3$$ $$0$$ $$0$$ $-$ $$q+q^{2}+3q^{3}+q^{4}+3q^{6}+q^{8}+6q^{9}+\cdots$$
650.2.a.n $3$ $5.190$ 3.3.940.1 None $$-3$$ $$0$$ $$0$$ $$2$$ $-$ $$q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+(1+\beta _{1}+\cdots)q^{7}+\cdots$$
650.2.a.o $3$ $5.190$ 3.3.940.1 None $$3$$ $$0$$ $$0$$ $$-2$$ $-$ $$q+q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+(-1+\cdots)q^{7}+\cdots$$
650.2.b.a $2$ $5.190$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}+3iq^{3}-q^{4}-3q^{6}+iq^{7}+\cdots$$
650.2.b.b $2$ $5.190$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}+2iq^{3}-q^{4}-2q^{6}+5iq^{7}+\cdots$$
650.2.b.c $2$ $5.190$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}+iq^{3}-q^{4}-q^{6}-4iq^{7}+\cdots$$
650.2.b.d $2$ $5.190$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}+iq^{3}-q^{4}-q^{6}+iq^{7}-iq^{8}+\cdots$$
650.2.b.e $2$ $5.190$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-q^{4}-iq^{8}+3q^{9}-iq^{13}+\cdots$$
650.2.b.f $2$ $5.190$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-2iq^{3}-q^{4}+2q^{6}+4iq^{7}+\cdots$$
650.2.b.g $2$ $5.190$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-2iq^{3}-q^{4}+2q^{6}-4iq^{7}+\cdots$$
650.2.b.h $2$ $5.190$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-2iq^{3}-q^{4}+2q^{6}+iq^{7}+\cdots$$
650.2.b.i $2$ $5.190$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-3iq^{3}-q^{4}+3q^{6}-iq^{8}+\cdots$$
650.2.c.a $2$ $5.190$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$0$$ $$0$$ $$-6$$ $$q-q^{2}+iq^{3}+q^{4}-iq^{6}-3q^{7}-q^{8}+\cdots$$
650.2.c.b $2$ $5.190$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+iq^{3}+q^{4}-iq^{6}-q^{8}-q^{9}+\cdots$$
650.2.c.c $2$ $5.190$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+iq^{3}+q^{4}+iq^{6}+q^{8}-q^{9}+\cdots$$
650.2.c.d $2$ $5.190$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$0$$ $$6$$ $$q+q^{2}+iq^{3}+q^{4}+iq^{6}+3q^{7}+q^{8}+\cdots$$
650.2.c.e $6$ $5.190$ 6.0.126157824.1 None $$-6$$ $$0$$ $$0$$ $$6$$ $$q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+(1+\beta _{3}+\cdots)q^{7}+\cdots$$
650.2.c.f $6$ $5.190$ 6.0.126157824.1 None $$6$$ $$0$$ $$0$$ $$-6$$ $$q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+(-1+\cdots)q^{7}+\cdots$$
650.2.d.a $2$ $5.190$ $$\Q(\sqrt{-1})$$ None $$0$$ $$-4$$ $$0$$ $$0$$ $$q-iq^{2}-2q^{3}-q^{4}+2iq^{6}+iq^{8}+\cdots$$
650.2.d.b $2$ $5.190$ $$\Q(\sqrt{-1})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+iq^{2}+q^{3}-q^{4}+iq^{6}+3iq^{7}+\cdots$$
650.2.d.c $6$ $5.190$ 6.0.126157824.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{2}-\beta _{3}q^{3}-q^{4}+\beta _{1}q^{6}+(\beta _{1}+\cdots)q^{7}+\cdots$$
650.2.d.d $6$ $5.190$ 6.0.126157824.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{2}+\beta _{3}q^{3}-q^{4}-\beta _{1}q^{6}+(\beta _{1}+\cdots)q^{7}+\cdots$$
650.2.d.e $8$ $5.190$ 8.0.303595776.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{3}q^{2}+\beta _{5}q^{3}-q^{4}-\beta _{1}q^{6}+(-\beta _{2}+\cdots)q^{7}+\cdots$$
650.2.e.a $2$ $5.190$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-2$$ $$0$$ $$-1$$ $$q+(-1+\zeta_{6})q^{2}+(-2+2\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
650.2.e.b $2$ $5.190$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$0$$ $$-3$$ $$q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}-3\zeta_{6}q^{7}-q^{8}+\cdots$$
650.2.e.c $2$ $5.190$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$0$$ $$4$$ $$q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+4\zeta_{6}q^{7}-q^{8}+\cdots$$
650.2.e.d $4$ $5.190$ $$\Q(\sqrt{-3}, \sqrt{-7})$$ None $$-2$$ $$-1$$ $$0$$ $$1$$ $$q+(-1-\beta _{1})q^{2}-\beta _{3}q^{3}+\beta _{1}q^{4}+(-\beta _{2}+\cdots)q^{6}+\cdots$$
650.2.e.e $4$ $5.190$ $$\Q(\sqrt{-3}, \sqrt{13})$$ None $$-2$$ $$1$$ $$0$$ $$-5$$ $$q+(-1-\beta _{2})q^{2}+(1-\beta _{1}+\beta _{2})q^{3}+\cdots$$
650.2.e.f $4$ $5.190$ $$\Q(\zeta_{12})$$ None $$-2$$ $$2$$ $$0$$ $$-2$$ $$q-\zeta_{12}q^{2}+(\zeta_{12}-\zeta_{12}^{2})q^{3}+(-1+\cdots)q^{4}+\cdots$$
650.2.e.g $4$ $5.190$ $$\Q(\sqrt{-3}, \sqrt{13})$$ None $$2$$ $$-1$$ $$0$$ $$5$$ $$q+(1+\beta _{2})q^{2}-\beta _{1}q^{3}+\beta _{2}q^{4}+(1-\beta _{1}+\cdots)q^{6}+\cdots$$
650.2.e.h $4$ $5.190$ $$\Q(\sqrt{-3}, \sqrt{10})$$ None $$2$$ $$0$$ $$0$$ $$-2$$ $$q+(1+\beta _{2})q^{2}-\beta _{1}q^{3}+\beta _{2}q^{4}+(-\beta _{1}+\cdots)q^{6}+\cdots$$
650.2.e.i $4$ $5.190$ $$\Q(\sqrt{-3}, \sqrt{-7})$$ None $$2$$ $$1$$ $$0$$ $$-1$$ $$q+(1+\beta _{1})q^{2}+\beta _{3}q^{3}+\beta _{1}q^{4}+(-\beta _{2}+\cdots)q^{6}+\cdots$$
650.2.e.j $6$ $5.190$ 6.0.591408.1 None $$-3$$ $$0$$ $$0$$ $$5$$ $$q+(-1+\beta _{4})q^{2}-\beta _{5}q^{3}-\beta _{4}q^{4}+(-\beta _{3}+\cdots)q^{6}+\cdots$$
650.2.e.k $6$ $5.190$ 6.0.591408.1 None $$3$$ $$0$$ $$0$$ $$-5$$ $$q+\beta _{4}q^{2}+(\beta _{3}-\beta _{5})q^{3}+(-1+\beta _{4}+\cdots)q^{4}+\cdots$$
650.2.g.a $2$ $5.190$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+q^{4}+2iq^{7}-q^{8}-3iq^{9}+\cdots$$
650.2.g.b $2$ $5.190$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$2$$ $$0$$ $$0$$ $$q-q^{2}+(1+i)q^{3}+q^{4}+(-1-i)q^{6}+\cdots$$
650.2.g.c $2$ $5.190$ $$\Q(\sqrt{-1})$$ None $$2$$ $$-2$$ $$0$$ $$0$$ $$q+q^{2}+(-1-i)q^{3}+q^{4}+(-1-i)q^{6}+\cdots$$
650.2.g.d $2$ $5.190$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+q^{4}-2iq^{7}+q^{8}-3iq^{9}+\cdots$$