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Make sure to recognize the different cases for evaluating point addition. When computing P+Q, notice the difference when P=Q versus when P≠Q. Also, the point at infinity is important as it will play the role of an identity element as we take the next step to formulate a cyclic group on an elliptic curve.
Source: Jeff Suzuki, https://www.youtube.com/watch?v=RkpVQaNNDKA This work is licensed under a Creative Commons Attribution 3.0 License.