1. Explain what an elliptic curve is, show some pictures. If necessary, shift the values a and b. 2. Explain in what way it is a group. Explain what the group elements are, and what the operation is (and why it works!). Give 1 or 2 examples of 2 points that you add. If able please provide some explanation, I am new to Abstract algebra, thank you in advance.

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1. Explain what an elliptic curve is, show some pictures. If necessary, shift the values a and b.
2. Explain in what way it is a group. Explain what the group elements are, and what the operation is (and why it works!). Give 1 or 2 examples of 2 points that you add.

If able please provide some explanation, I am new to Abstract algebra, thank you in advance.

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