Question: 1. Let E be an elliptic curve defined over Z7: E: y2 = x3 + 3x + 2 mod 7. a) Given the element P

1. Let E be an elliptic curve defined over Z7:

E: y2 = x3 + 3x + 2 mod 7.

a) Given the element P = (0, 3), determine the order of P. Is P a primitive element?

b) Compute all points on E over Z7. [use a generator]

c)What is the order of the group? [Do not forget the identity element O]

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