The 310,716 elliptic curves of prime conductor less than 10^8 found by Brumer and McGuinness in computations at Fordham University in 1989-90.

Armand Brumer, Oisin McGuinness

Static tables of the 310,716 elliptic curves of prime conductor less than 10^8 found during 1989-90 computations at Fordham University, undertaken to explore the rank distribution of elliptic curves. The site provides downloadable curve files plus summaries, notation guides, talk slides, and the TeX/DVI source of the authors’ 1990 Bulletin of the AMS paper based on the data.

This dataset is now subsumed by the LMFDB, whose elliptic curve database at https://www.lmfdb.org/EllipticCurve/Q/ includes all elliptic curves over Q of prime conductor up to 3·10^8.

References

  • A. Brumer, O. McGuinness, The behavior of the Mordell-Weil group of elliptic curves, Bull. Amer. Math. Soc. (N.S.) 23 (1990), no. 2, 375-382 (MR 91b:11076)