1. It must have been a long weekend because I thought I was understanding elliptic curves, but after reading this section, I no longer feel like that. I think the confusion comes from the equation E: y^2+a_1*x*y+a_3*y=x^3+a_2*x^2+a_4*x+a_6. I understand that taking the derivative of the normal form in mod 2 would cause problems, so there needs to be this other form. I just don't under stand how to solve for the points and such. This carried over to the finite fields.
2. I am curious to see how elliptic curves play into the cryptosystems. I guess that is the next section, so I won't have to wait much longer for my curiosity to be soon satisfied. I am always curious how things come about, the historical background of things.
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