Write a program in java or C: For Each prime between 20 and 1000, pick a random

Question

Write a program in java or C:

For Each prime between 20 and 1000, pick a random a and b and create the corresponding elliptic curve. For Each elliptic curve, calculate the number of points on that curve, including the point 0. Make a graph of your data with the x-axis being the prime number and the y-axis being the number of points. Answer the following:

1- what pattern or patterns do you see in this graph?

2- what points were the "biggest outliers" ?

3- what, if any, conclusions do you think can be drawn about the relationship between the prime p and the corresponding number of points on the elliptic curve?

Explanation / Answer

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