Suppose we take the elliptic curve E:y2=(ax+1)(bx+1)(cx+1) where a,b,c∈Z. We can define it by E = EllipticCurve[a1,a2,a3,a4,a6] only if abc=1. Suppose abc≠1 then how to define it in its originality, i.e. without applying any co-ordinate transformations?
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Define an elliptic curve by its equation
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Define an elliptic curve by its equation
Suppose we take the elliptic curve E:y2=(ax+1)(bx+1)(cx+1) where a,b,c∈Z. We can define it by E = EllipticCurve[a1,a2,a3,a4,a6] only if abc=1. Suppose abc≠1 then how to define it in its originality, i.e. without applying any co-ordinate transformations?
