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as stated in the picture (3) (4 pts each) (i) Let E1 be the elliptic curve E1 : y2 = x3 + a: over F3.

as stated in the picture

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(3) (4 pts each) (i) Let E1 be the elliptic curve E1 : y2 = x3 + a: over F3. List all points, including the zero point P1 = C'), and make an addition table Where in row i and column j you insert the point PiEBPj. Compute the coordinates (in F3) explicitly. What is ord(P,-) for i = 1, 2, 3,4? (ii) Let E2 be the elliptic curve E2 : y2 = x3 a: over F3. List all points, including the zero point P1 = O, and make an addition table as above. Compute the coordinates (in F3) explicitly. What is ord(P,-) for 2' = 1, 2, 37 4? In What way differs the group E2 (F3) from the group E1 (F3)

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