Recent advances in 2D materials with Berry curvature such as rhombohedral graphene have inspired extensions of Wigner crystals. I will introduce the anomalous Hall crystal (AHC), a phase that spontaneously breaks continuous translation symmetry but has a nonzero Chern number. I will propose the λ−jellium model, an extension of the two-dimensional jellium model, as a minimal model for the AHC. I will analyze low-energy phonons of the AHC through its elasticity theory in both rhombohedral graphene and λ−jellium. Unlike the always-triangular Wigner crystal, the AHC can prefer many lattice shapes. Furthermore, its elasticity theory can contain terms such as a previously overlooked "kineo-elastic" term that leads to dramatic differences in phonon speeds in opposite directions.