2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64098We study families of elliptic curves of degree n+1 in $P^n$ containing a fixed set of m points. In the case m = n+3 we show that this family is birationally isomorphic to a smooth complete intersection of n-2 diagonal quadrics in $P^{n+2}$. We also describe an action of the 2-elementary abelian group $2^{n+2}$ on this family via Cremona transformations in $P^n$.15 pages, 1 figureAlgebraic Geometrytext