The M₂ Database is a live, self-populating resource containing over 1.2 million rational points in the moduli space of genus two curves. Users can search by curve equation or Igusa invariants; if the point is missing, the system automatically computes the canonical representative together with all associated invariants, heights, automorphism group, minimal model, fine/coarse status, conductor, twists, and L_n splitting labels, then inserts the complete record. The database is publicly available with a fast API and full Python integration and is hosted by the Institute of Artificial Intelligence and Mathematical Sciences (AIMS).
Team:
Tony Shaska, Mathematics & Computer Science, Oakland University, Rochester, USA
https://github.com/sha-aims/
Eustrat Zhupa, Department of Computer Science, University of Rochester, Rochester, USA
Salad Salami, Department of Mathematics, Rio de Janeiro, Brazil
Lubjana Beshaj, Department of Mathematics, West Point Military Academy, West Point, USA
Jurgen Mezinaj, Department of Mathematics, Oakland University, Rochester, USA
Elira Shaska, Department of Computer Science, Oakland University, Rochester, USA
Andrew Aurand, Department of Computer Science, Oakland University, Rochester, USA
Simon Griemert,Mathematics & Computer Science, Oakland University, Rochester, USA
Gus Wietze, Mathematics & Data Science, University of Rochester, Rochester, USA
https://github.com/gvtz10/
RatFunct: A package for working with rational functions on the projective line.
A database of polynomials