Question: Consider the elliptic curve y^2 = x^3 - 10x + 6 over the real numbers. (a) Verify that the points P = (3, -1.732) and

Consider the elliptic curve y^2 = x^3 - 10x + 6

Consider the elliptic curve y^2 = x^3 - 10x + 6 over the real numbers. (a) Verify that the points P = (3, -1.732) and Q = (0.562, 0.7467) are actually on the curve. (b) Show that an elliptic curve group can be formed by verifying that 4a^3 + 27b^2 notequalto 0. (c) Calculate P + Q in the elliptic curve group using a geometric method (i.e show the curve in the Cartesian plane). (d) Calculate P + Q in the elliptic curve group using the algebraic method

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