%0 Journal Article %T Cox rings of extremal rational elliptic surfaces %A Michela Artebani %A Alice Garbagnati %A Antonio Laface %J Mathematics %D 2013 %I arXiv %X In this paper we determine a minimal set of generators for the Cox rings of extremal rational elliptic surfaces. Moreover, we develop a technique for computing the ideal of relations between them which allows, in all but three cases, to provide a presentation of the Cox ring. %U http://arxiv.org/abs/1302.4361v1