How is the elliptic curve chosen?

First of all, a finite field is chosen, see (9) If the field is GF(p) where p is a large prime, the x·y term is omitted, leaving us with y^2 = x^3 + a·x^2 + be There is a requirement that 4·a^3 + 27·b^2 is non-zero. If the field is GF(2^m) then we include the x·y term to get y^2 + x·y = x^3 + a·x^2 + be There is a requirement that be is non-zero. Fields GF(p^m) with both p>2 and m>1 are not considered here.

More.

I cant really gove you an answer,but what I can give you is a way to a solution, that is you have to find the anglde that you relate to or peaks your interest. A good paper is one that people get drawn into because it reaches them ln some way.As for me WW11 to me, I think of the holocaust and the effect it had on the survivors, their families and those who stood by and did nothing until it was too late.