The Weierstrass form is a specific equation used to represent elliptic curves, typically given by the equation $$y^2 = x^3 + ax + b$$ where $a$ and $b$ are constants. This form is crucial in studying the properties of elliptic curves, including their group structure, isogenies, and rational points. It serves as a standard representation that simplifies the analysis of elliptic curves and their applications in number theory and algebraic geometry.
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