  We study electron-electron interaction induced states of twisted bilayer
MoTe$_2$ in an out-of-plane magnetic field $B\hat{\bf z}$ near one hole per
moir\'e unit cell filling. The 3D phase diagram showing the evolution of
competing phases with $B$, interaction strength and an out-of-plane electric
field is presented at electron fillings that follow the Diophantine equation
along Chern number $-\text{sign}\left(B\right)$ line, that is pointing away
from the charge neutral filling, where we find prominent Chern insulators
consistent with the experiments. We also explain the experimental absence of
prominent Chern insulators along the Chern number $+\text{sign}\left(B\right)$
line.
