1. Does the elliptic curve equation y2 = x3 + 10x + 5 define a group over F17?
2. Do the points P(2,0) and Q(6,3) lie on the elliptic curve y2 = x3 + x + 7 over F17?
3. What are the negatives of the following elliptic curve points over F17?
P(5,8) Q(3,0) R(0,6)
4. In the elliptic curve group defined by y2 = x3 + x + 7 over F17, what is P + Q if P = (2,0) and Q = (1,3)?
5. In the elliptic curve group defined by y2 = x3 + x + 7 over F17, what is 2P if P = (1, 3)?
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