Twists of elliptic curves
MATHEMATICAL CURVES THAT ARE ISOMORPHIC OVER ALGEBRAIC CLOSURES
Twisted curves; Quadratic twist; Twists of curves
In the mathematical field of algebraic geometry, an elliptic curve E over a field K has an associated quadratic twist, that is another elliptic curve which is isomorphic to E over an algebraic closure of K. In particular, an isomorphism between elliptic curves is an isogeny of degree 1, that is an invertible isogeny.