  In the past several years, Howe curves have been studied actively in the
field of algebraic curves over fields of positive characteristic. Here, a Howe
curve is defined as the desingularization of the fiber product over a
projective line of two hyperelliptic curves. In this paper, we construct an
explicit plane sextic model for non-hyperelliptic Howe curves of genus five. We
also determine singularities of our sextic model.
