2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/226035A Lax formalism for the elliptic Painlevé equation is presented. The construction is based on the geometry of the curves on ${\mathbb P}^1\times{\mathbb P}^1$ and described in terms of the point configurations.v3: introduction is extended, some errors are corrected; v4: published versionAlgebraic GeometryClassical Analysis and ODEsDynamical Systems34A05; 14E07; 14H52text