| 3.3 Experiment: An Elliptic Curve Model over Fp
The following model can be used to experiment with addition in a variety of elliptic curve groups.
Try the following experiments:
- Change the variables a and b to see the resulting number of points on the curve.
- Select a point P on the curve, and then select a point Q. Add them together.
- Select a point P on the curve and then double it.
- Try doubling P when yP = 0
- Try adding two points with the same x-value.
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