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Elliptic curves can be represented in different form. The most basic equation, in which every elliptic curve can be represented is the Weierstraß equation: $$ y^2 = x^3 + ax + b$$ For a Montgomery curve it must be able to be represented in the following form: $$ (b)y^2 = x^3 + ax^2 + x$$ For every Montgomery curve it is possible to transform its equation to ...

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