The Elliptic Curve Database for Conductors to 130000

  • John Cremona
Conference paper

DOI: 10.1007/11792086_2

Part of the Lecture Notes in Computer Science book series (LNCS, volume 4076)
Cite this paper as:
Cremona J. (2006) The Elliptic Curve Database for Conductors to 130000. In: Hess F., Pauli S., Pohst M. (eds) Algorithmic Number Theory. ANTS 2006. Lecture Notes in Computer Science, vol 4076. Springer, Berlin, Heidelberg

Abstract

Tabulating elliptic curves has been carried out since the earliest days of machine computation in number theory. After some historical remarks, we report on significant recent progress in enlarging the database of elliptic curves defined over ℚ to include all those of conductor N≤130000. We also give various statistics, summarize the data, describe how it may be obtained and used, and mention some recent work regarding the verification of Manin’s “c=1” conjecture.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • John Cremona
    • 1
  1. 1.School of Mathematical SciencesUniversity of NottinghamNottinghamUK

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