Part I: ECC 1. Given an elliptic curve equation y? = x3 + 25x + 17 (mod 29), answer the following questions. (a) For the point P = (4, 6) and Q = (5, 8), work out P+Q and 2P by hand and verify that P+Q and 2P are still on 4 marks the curve. (b) Use maple to find all the points on this curve. How many points are there in the EC-based group and then 4 marks plot all the points of this curve (you need to show your maple code of how you get the points). (c) If the curve is defined over real numbers, i.e., y' = x + 25x + 17, plot the curve with -5