Question: Consider the elliptic curve E : y^2 = x^3 + 7x + b (mod 11). Determine b so that the point P = (4, 5)

Consider the elliptic curve E : y^2 = x^3 + 7x

Consider the elliptic curve E : y^2 = x^3 + 7x + b (mod 11). Determine b so that the point P = (4, 5) is on the curve E. Using the b found in part a, list all points on E. Using the b found in part a, find the sum (4, 5) + (5, 4) on E. Using the b found in part a, find the point 3(4, 5). Consider the elliptic curve E : y^2 = x^3 + 7x + b (mod 11). Determine b so that the point P = (4, 5) is on the curve E. Using the b found in part a, list all points on E. Using the b found in part a, find the sum (4, 5) + (5, 4) on E. Using the b found in part a, find the point 3(4, 5)

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