  Let $\psi$ denote the genus that corresponds to the formal group law having
invariant differential $\omega(t)$ equal to
$\sqrt{1+p_1t+p_2t^2+p_3t^3+p_4t^4}$ and let $\kappa$ classify the formal group
law strictly isomorphic to the universal formal group law under strict
isomorphism $x\CP(x)$. We prove that on the rational complex bordism ring the
Krichever-H\"ohn genus $\phi_{KH}$ is the composition $\psi\circ \kappa^{-1}$.
We construct certain elements $A_{ij}$ in the Lazard ring and give an
alternative definition of the universal Krichever formal group law. We conclude
that the coefficient ring of the universal Krichever formal group law is the
quotient of the Lazard ring by the ideal generated by all $A_{ij}$, $i,j\geq
3$.
