2. Let E be the elliptic curve y'-x'x+6 over Z 1) Find all points on E by calculating the quadratic residues like the one demonstrated in the lecture. 2) What is the order of the group? Do not forget the identity element O] 3) Given a point P- (2,7), what is 2P? [point doubling] 4) Given another point Q = (3, 6), what is P + Q? [point addition] 3. With the same E as in question 2, given the base point P- (2, 7), calculate T-10P by using Double-and-Add algorithm. Provide the intermediate results after each step. 2. Let E be the elliptic curve y'-x'x+6 over Z 1) Find all points on E by calculating the quadratic residues like the one demonstrated in the lecture. 2) What is the order of the group? Do not forget the identity element O] 3) Given a point P- (2,7), what is 2P? [point doubling] 4) Given another point Q = (3, 6), what is P + Q? [point addition] 3. With the same E as in question 2, given the base point P- (2, 7), calculate T-10P by using Double-and-Add algorithm. Provide the intermediate results after each step