Video library: M. Hindry, Integral points on a family of elliptic curves

VIDEO LIBRARY


L-Functions and Algebraic Varieties. A conference in memory of Alexey Zykin February 5, 2018 15:00, Moscow, Moscow Independent University, 11 Bolshoi Vlassievsky per.

Integral points on a family of elliptic curves M. Hindry
Abstract: We consider the family of elliptic curves with equation [ $y^{2}+y=x^{3}-a^{2x}$ ] Using various Diophantine tools (reduction mod p, Néron-Tate heights, linear forms in elliptic logarithms) we will show many properties of the set of integral points and especially related the set to the rank of the elliptic curve.