Hints for Exercises (Chapter 14)
- Exercise 1: Try brute force for the order of the curve. For singular curves, identify the cases where the addition formulas cannot be used.
- Exercise 4: Look at the degree of the polynomials.
- Exercise 6: Use the inverse map and bilinearity to move multipliers from right to left. Show how to take powers of multipliers.
- Exercise 8: For a given curve modulo p, there are many possible curves modulo p-squared.
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