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Answers for “为什么密码学中的椭圆曲线定义在有限域上而不是实数上?”

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The standard Weierstrass equation for an elliptic curve is y² = x³ + ax + b, and the coefficients must satisfy the non-singularity condition 4a³ + 27b² ≠ 0.

Conditions: (x, y) are coordinates of points on the curve.; a and b are coefficients.; 4a³ + 27b² ≠ 0 (non-singularity condition).