2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/102156Let C be the image of a canonical embedding C of the Atkin-Lehner quotient X+0(N) associated to the Fricke involution wN. In this note we exhibit some relations among the rational points of C. For each g = 3 (resp. the first g = 4) curve C we found that there are one or more lines (resp. planes) in projectie space whose intersection with C consists entirely of rational Heegner points or the cusp point, where N is prime. We also discuss an explanation of the first non-hyperelliptic exceptional rational point.11 pages, 9 figuresNumber TheoryAlgebraic Geometry11G18; 14G05A note on the rational points of X_0^+(N)text