William asks…How do you construct a supersingular elliptic curve in the field Fq?If anyone can give me any links to articles or any information about how to construct a supersingular elliptic curve in Fq then that would be extremely helpful - thanks!Nancy answers:I'm no expert on elliptic curves, but
I have the book "Elliptic Curves" by
Dale Husemöller and I found the following
theorem on p.249:
In characteristic q > 3 the curve
y² = x(x-1)(x-λ) is supersingular if and only if λ is a
