# ANALYSIS OF THE BIRCH-SWINNERTON DYER CONJECTURE AND THE CONCEPT OF ELLIPTIC CURVES

## Description

We showed that in the modern form of the BSD conjecture we can change the known formulas between three different variables. We did research on the concept of the geometrical and graphic representation of the conjecture and all types of elliptic curves. We also analyzed the data of the different sets of prices of the curve on cartesian and comlexity axis. It is also shown that the first form of an elliptic curve can be transformed into a cubic equation.Our article explains the whole interesting , yet complicated concept , to the reader.This problem is one of the seven Millenium Prize problems, that stiil remains unsolved but very important in the world of math. We let the reader know about elliptic curves , rational points and the analytic rank r of elliptic curve E. This article is an important contribution to understanding the BSD conjecture. In addition, it also connects with another famous unsolved problem known as "NP vs P" .This paper helps the reader understand the concept piece by piece.