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All of these are answered by the SafeCurves project: $x^2 + y^2 \equiv 1 + dx^2y^2 \pmod p$ Edwards curves can be converted to Montgomery form.Montgomery curves can be converted to Weierstrass form.Some, but not all, Weierstrass curves can be converted to Montgomery form. The Montgomery ladder (applicable only to Edwards and Montgomery curves) is faster ...



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