  We investigate an interaction-driven transition between crystalline and
liquid states of strongly correlated spinless fermions within topological flat
bands at low density (with filling factors $\nu=1/5$, $1/7$, $1/9$). Using
exact diagonalization for finite size systems with periodic boundary
conditions, we distinguish different phases, whose stability depends on the
interaction range, controlled by the screening parameter of the Coulomb
interaction. The crystalline phases are identified by a crystallization
strength, calculated from the Fourier transforms of pair correlation density,
while the Fractional Chern insulator phases are characterized using momentum
counting rules, entanglement spectrum, and overlaps with corresponding
Fractional Quantum Hall states. The type of the phase depends on a particular
single particle model and its topological properties. We show that for
$\nu=1/7$ and $1/5$ it is possible to tune between the Wigner crystal and
Fractional Chern insulator phase in the kagome lattice model with the band
carrying the Chern number $C=1$. In contrast, in the $C=2$ models, the Wigner
crystallization was absent at $\nu=1/5$, and appeared at $\nu=1/9$, suggesting
that $C=2$ FCIs are more stable against the formation of crystalline order
