2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/110085In this paper we study a geometric coding algorithm for indefinite binary quadratic forms Q for the congruence subgroup Γ^0(N), with respect to the usual fundamental domain FN, where N is assumed prime. The cycles Q_1, . . ., Q_n that this algorithm produces are such that the the corresponding paths γ_1, . . ., γ_n in the Riemann surface X0(N)(C) have a nice behavior around the elliptic points of order 2.25 pages, 7 figuresNumber Theory11E16; 20H05A level N reduction theory of indefinite binary quadratic formstext