CIMPA research school on
	Lattices and applications to cryptography and coding theory Saigon University, Ho Chi Minh City, Vietnam. August 1st - 12th, 2016
	Lattices and Mordell-Weil groups Lecturers: Francesco Pappalardi (Roma Tre) e Valerio Talamanca (Roma Tre)
d fa sjk asdgsiji	d fa sjk asdgsiji Program Elliptic curves over number fields definition and examples. Weierstrass equation, group law, isogenies. The weak Mordell-Weil theorem. Heights on projective spaces, heights on elliptic curves, descent procedure and the Mordell-Weil theorem. Canonical height pairings on elliptic curves via Tate's construction, elliptic regulator, Mordell-Weil lattices. Elkies's and Shioda's construction of Mordell-Weil lattices arising from elliptic curves over function fields.