When a charged particle moves in a plane perpendicular to a constant magnetic field (z-direction) the discrete energy levels are called Landau levels. The energies resemble those of the harmonic oscillator with $\omega$ the cyclotron frequency $\omega_c$. The energies are highly degenerate, with the degeneracy being independent of the energy. We now add a linear electric field parallel to the magnetic field above the plane and anti-parallel below the plane. This introduces a second frequency $\omega_z$ associated with oscillations along the z-direction. We show how the Landau levels get modified, but more crucially show that the degeneracy increases with energy, with critical jumps when $\omega_z$/$\omega_c$ is a rational number.