Weierstrass form

The Weierstrass form is a way to write certain types of equations, called elliptic curves, in a standardized algebraic way: \( y^2 = x^3 + ax + b \). This form simplifies studying these curves, which are important in areas like cryptography and number theory. It allows mathematicians to analyze the properties of the curve consistently, as the coefficients \(a\) and \(b\) determine its shape and features. Essentially, the Weierstrass form provides a consistent framework to understand and work with elliptic curves mathematically.