Degtyarev, A.2016-02-082016-02-0820121056-3911http://hdl.handle.net/11693/21429We develop an algorithm computing the transcendental lattice and the Mordell-Weil group of an extremal elliptic surface. As an example, we compute the lattices of four exponentially large series of surfaces.EnglishArticle10.1090/S1056-3911-2011-00563-810563911