- Reza Akhtar An Introduction to Elliptic Curves
- John Baez week 13
- George Barwood Elliptic curve cryptography FAQ
- Ezra Brown
- Charles Daney Elliptic Curves and Elliptic Functions
- Ed Eikenberg Congruent Numbers and Elliptic Curves
- Ivan Leung Introduction to Elliptic Curves
- Math circle Berkeley, Elliptic Curves
- Pamela Peters Groups Formed by Rational Points on Elliptic Curves
- Bjorn Poonen Elliptic curves
- Alf van der Poorten
- Jim Propp Fermat's Last Theorem and the Fourth Dimension
- Harold Reiter Pythagorean Triples, the Unit Circle, and Fermat's Last Theorem
- Lee J. Stemkoski Introduction to Elliptic Curves
- Henk C.A. van Tilborg Elliptic Curves
- Helena Verrill, Group Law for elliptic curves
- Mike Woodbury Finite Groups on Elliptic Curves
- Xavier Xarles torsion points (pdf)
- Takayuki Yato Study on elliptic and hyperelliptic curve for integer factorization
- Eric von York, Elliptic curves over finite fields

- Jeff Achter On Computing the Rank of Elliptic Curves
- Hege R. Frium The Group Law on Elliptic Curves on Hesse form
- Jerome W. Hoffman Topics in Elliptic Curves and Modular Forms
- Dimitar Jetchev Visibility of the Tate-Shafarevich group; Principal Homogenous Spaces, Selmer Groups, and Shafarevich-Tate Groups
- Barry Mazur, Three lectures about the arithmetic of elliptic curves
- Joshua Plotkin, The Mordell-Weil Theorem
- Alvaro Lozano Robledo Finding points on elliptic curves: Very explicit methods
- Ed Schaefer, Mordell-Weil rank and Selmer groups
- Helena Verrill Monstrous Moonshine and Mirror Symmetry
- Eric von York Elliptic Curves Over Finite Fields

- Noam Elkies The Klein quartic
- Seth Kleinerman On the torsion points of elliptic curves and modular abelian varieties
- Tom Weston
The modular curves X
_{0}(11) and X_{1}(11)

- A. C. Cojocaru, W. Duke, Reductions of an Elliptic Curve and their Tate-Shafarevich Groups
- Z. Djabri, Edward Schaefer, Nigel Smart, Computing the p-Selmer Group of an Elliptic Curve
- Hendrik Kasten, A Stickelberger Index for the Tate-Shafarevich Group
- Remke Kloosterman The p-part of Tate-Shafarevich groups of elliptic curves can be arbitrarily large
- Remke Kloosterman Lectures on Selmer groups
- Abderrahmane Nitaj Invariants des courbes de Frey-Hellegouarch et grands groupes de Tate-Shafarevich
- Ken Ono, Tate-Shafarevich groups of the congruent number elliptic curves
- Harvey Rose, On Some Elliptic Curves with Large Sha
- K. Rubin, A. Silverberg, Ranks of elliptic curves
- Alice Silverberg Elliptic Curves: The State of the Art What Number Theorists Want