Exercises for the CIMPA research school, Universidad del Cauca, Popayán, Colombia, July 24 – August 4.

These Jupyter/Sagemath notebooks contain the tutorials and exercises for the "Cryptography" course of the school.

If you have the opportunity, it's recommended to install Sagemath on your personal machine. Instructions at https://doc.sagemath.org/html/en/installation/index.html.

If you couldn't install Sagemath, there are two opportunities to use it in the cloud.

Cocalc is a freemium cloud service providing Sagemath and other scientific tools. You will have to create an account in order to use it.

You can open the tutorials in Cocalc by following this link: https://cocalc.com/github/defeo/cimpa-popayan.

After you open a notebook, click on "Edit your own copy". It will prompt you to create an account, if you haven't already done so, and then import the notebook in a project.

Binder is a free service supporting reproducible environments for scientific computation. No account is needed.

You can open the tutorials in Binder by following this link: https://mybinder.org/v2/gh/defeo/cimpa-popayan/master.

If launching hangs for more than a minute, give it another try by reloading the page, or clicking on the link again.

Be warned that, unlike in Cocalc, whatever work you do is not saved in the cloud! Do not forget to download your work at the end of the session.

Below you'll find direct Binder links to the notebooks in this repository. Click on them to jump straight to them.

• The notebook of the first tutorial on elliptic curves, torsion points and the Frobenius endomorphism.

• The notebook of the second tutorial on isogenies and complex multiplication.

• The notebook of the third tutorial on complex multiplication and cryptography.

This repository is based on https://github.com/sagemath/sage-binder-env. Go there for more demos and infos.