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An excellent starting point at the introductory level is the Weierstrass curve, which can be evaluated over congruences modulo p, where p is a prime number. Use this material to understand the basics of the Weierstrass curve and how to compute points along the curve.
Source: Cry.College, https://www.youtube.com/watch?v=j_A3TLQ56EM This work is licensed under a Creative Commons Attribution 3.0 License.