The integer points on three related elliptic curves

Andrew Bremner, Patrick Morton

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The integer points on the three elliptic curves y2 = 4cx3 + 13, c = 1, 3, 9, are found, with an application to coding theory. It is also shown that there are precisely three nonisomorphic cubic extensions of the rationals with discriminant -35 ¦ 13.

Original languageEnglish (US)
Pages (from-to)235-238
Number of pages4
JournalMathematics of Computation
Volume39
Issue number159
DOIs
StatePublished - 1982
Externally publishedYes

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Integer Points
Coding Theory
Discriminant
Elliptic Curves

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics

Cite this

The integer points on three related elliptic curves. / Bremner, Andrew; Morton, Patrick.

In: Mathematics of Computation, Vol. 39, No. 159, 1982, p. 235-238.

Research output: Contribution to journalArticle

Bremner, Andrew ; Morton, Patrick. / The integer points on three related elliptic curves. In: Mathematics of Computation. 1982 ; Vol. 39, No. 159. pp. 235-238.
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