# Elliptic Curve Base Field ## Metadata **Status**:: #x **Zettel**:: #zettel/fleeting **Created**:: [[2024-03-25]] **Parent**:: [[Elliptic Curve]] ## Synopsis Base field is where the curve is defined. It is the domain of the variable x, y and coefficients a, b in the fomula $ y^2 = x^3 + ax + b $