Date of Award
Master of Arts in Mathematics
The purpose of this thesis is to give a detailed group theoretic proof of the rank formula in a more general setting. By using the proof of Mordell-Weil theorem, a formula for the rank of the elliptical curves in certain cases over algebraic number fields can be obtained and computable.
Khalfallah, Hazem, "Mordell-Weil theorem and the rank of elliptical curves" (2007). Theses Digitization Project. 3119.