  Several curves of genus 2 are known, such that the equations of motion of the
Kowalewski top are linearized on their Jacobians. One can expect from
transcendental approaches via solutions of equations of motion in
theta-functions, that their Jacobians are isogeneous. The paper focuses on two
such curves: Kowalewski's and that of Bobenko-Reyman-Semenov-Tian-Shansky, the
latter arising from the solution of the problem by the method of spectral
curves. An isogeny is established between the Jacobians of these curves by
purely algebraic means, using Richelot's transformation of a genus 2 curve. It
is shown that this isogeny respects the Hamiltonian flows. The two curves are
completed into an infinite tower of genus 2 curves with isogeneous Jacobians.
