Congruent numbers, Elliptic curves, Elliptic curves in Weierstrass form, Addition law, Mordell–Weil Theorem, Points of finite order, Points over finite fields, Hasse-Weil L-function and its functional equation, Complex multiplication.
- J. H. Silverman, J. Tate, “Rational Points on Elliptic Curves”, Undergraduate Texts in Mathematics, Springer-Verlag, 1992.
- N. Koblitz, “Introduction to Elliptic Curves and Modular Forms”, Graduate Texts in Mathematics 97, Springer-Verlag, 1993.
- J. H. Silverman, “The Arithmetic of Elliptic Curves”, Graduate Texts in Mathematics 106, Springer, 2009.
- A. W. Knapp, “Elliptic Curves”, Mathematical Notes 40, Princeton University Press, 1992.
- J. H. Silverman, “Advanced Topics in the Arithmetic of Elliptic Curves”, Graduate Texts in Mathematics 151, Springer-Verlag, 1994