1. Does the elliptic curve equation y2 = x3 - 7x - 6 over real numbers define a group?
2. What is the additive identity of regular integers?
3. Is (4,7) a point on the elliptic curve y2 = x3 - 5x + 5 over real numbers?
4. What are the negatives of the following elliptic curve points over real numbers?
P(-4,-6), Q(17,0), R(3,9), S(0,-4)
5. In the elliptic curve group defined by y2 = x3 - 17x + 16 over real numbers, what is P + Q if P = (0,-4) and Q = (1,0)?
6. In the elliptic curve group defined by y2 = x3 - 17x + 16 over real numbers, what is 2P if P = (4, 3.464)?
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