On the equation Y2=X(X2+p)

Andrew Bremner, J. W. Cassels

Research output: Contribution to journalArticle

28 Scopus citations

Abstract

Generators are found for the group of rational points on the title curve for all primes p = 5 (mod 8) less than 1, 000. The rank is always 1 in accordance with conjectures of Seltner and Mordell. Some of the generators are rather large.

Original languageEnglish (US)
Pages (from-to)257-264
Number of pages8
JournalMathematics of Computation
Volume42
Issue number165
DOIs
StatePublished - 1984
Externally publishedYes

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics

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