Periodic Reporting for period 4 - Euler systems (Euler systems and the Birch--Swinnerton-Dyer conjecture)

Let E be an elliptic curve over the rational numbers: that is, E is a non-singular algebraic curve defined byequation of the formy² = x³ + ax + b,where a and b are rational numbers. Understanding the set of rational points on such curves E is one of thecentral problems of...