Computational Number Theory

Tables and computations

In this pages you will find browsable interfaces to tables and computations on elliptic curves, quadratic forms, and modular forms.

Original computations

• Nicolás Sirolli and Gonzalo Tornaría, Hilbert modular forms of half-integral weight (Jul 2021).
• Gustavo Rama and Gonzalo Tornaría, Quinary orthogonal modular forms (Jun 2020).
• Nicolás Sirolli and Gonzalo Tornaría, Central values of twisted L-series attached to Hilbert modular forms, using weight functions (Mar 2020).
• Nathan Ryan and Gonzalo Tornaría, Central values of paramodular form L-functions (Sep 2013).
• Henri Darmon and Gonzalo Tornaría, Traces of Stark-Heegner points for elliptic curves of prime conductor and rank 1 (Nov 2007).
• Gonzalo Tornaría, Data about the central values of the L-series of (imaginary and real) quadratic twists of elliptic curves (Jan 2004).

Interactive tables

• Cremona's table of elliptic curves.
  Up to conductor 130000.
  Data taken from Elliptic Curve Data.
• William Stein's table of weight 2 newforms.
  Data taken from The Modular Forms Database.
• Table of Ternary Quadratic Forms.
  Data computed by Gonzalo Tornaría.