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By laboral reasons I am reading about digital signatures and "public key" cryptography. The most popular of the cryptographic methods related to digital signatures (RSA) is only an application of the "little Fermat theorem". This theorem belongs to "baby" number theory and it is in the scope of any amateur (myself, for example).

But there is another cryptographic method based on "elliptic curves" and the mathematics involved is no game at all.

Though I am not a formal student of mathematical analysis, I have learned some things reading by myself. I know more or less the basics of differential calculus on euclidean spaces. Also Riemann integration and the beginnings of Lebesgue integration (this on the real line only).

And why I post this here? Well, to ask if you know how much Analysis is needed to begin a serious study of elliptic curves.

Thanks for your answers.

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# Elliptic curves

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