Question: Lenstras elliptic curve factorization algorithm: Use the elliptic curve factorization algorithm to factor each of the numbers N using the given elliptic curve E and

Lenstras elliptic curve factorization algorithm: Use the elliptic curve factorization algorithm to factor each of the numbers N using the given elliptic curve E and point P. (a) N = 589, E: Y^2 = X^3 + 4X + 9, P= (2, 5). (b) N = 26167, E: Y^2 = X^3 + 4X + 128, P= (2, 12). (c) N = 1386493, E: Y^2 = X^3 + 3X ? 3, P= (1, 1). (d) N = 28102844557, E: Y^2 = X^3 + 18X ? 453, P= (7, 4).

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