Weierstrass points on [inline-graphic not available: see fulltext] and supersingular j-invariants

We study the arithmetic properties of Weierstrass points on the modular curves X0+(p)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$X_0^+(p)$$\end{document} for primes p. In particular, we obtain a relationship between the Weierstrass points on X0+(p)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$X_0^+(p)$$\end{document} and the j-invariants of supersingular elliptic curves in characteristic p.