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D.12.3.25 ellipticRandomCurve

Procedure from library crypto.lib (see crypto_lib).

Usage:
ellipticRandomCurve(N);

Return:
a list of two random numbers a,b and 4a^3+27b^2 mod N

Note:
y^2z=x^3+a*xz^2+b^2*z^3 defines an elliptic curve over Z/N

Example:
 
LIB "crypto.lib";
ellipticRandomCurve(32003);
==> [1]:
==>    22857
==> [2]:
==>    24963
==> [3]:
==>    1