Suppose we take the elliptic curve $E : y^2 = (ax+1)(bx+1)(cx+1)$ where $a,b,c \in \mathbb{Z}.$ We can define it by E = EllipticCurve[a1,a2,a3,a4,a6] only if $abc = 1.$ Suppose $abc \neq 1$ 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 $E : y^2 = (ax+1)(bx+1)(cx+1)$ where $a,b,c \in \mathbb{Z}.$ We can define it by E = EllipticCurve[a1,a2,a3,a4,a6] only if $abc = 1.$ Suppose $abc \neq 1$ then how to define it in its originality, i.e. without applying any co-ordinate transformations?
