Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 
 

 

Three points of great height on elliptic curves


Authors: Andrew Bremner and Duncan A. Buell
Journal: Math. Comp. 61 (1993), 111-115
MSC: Primary 11G05; Secondary 11Y40
DOI: https://doi.org/10.1090/S0025-5718-1993-1182243-X
MathSciNet review: 1182243
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We give three elliptic curves whose generators have great height, demonstrating along the way a moderately efficient method for finding such points.


References [Enhancements On Off] (What's this?)

  • [1] A. Bremner, On the equation $ {Y^2} = X({X^2} + p)$, Number Theory and Applications (R. A. Mollin, ed.), Kluwer, Dordrecht, 1989, pp. 3-23.
  • [2] A. Bremner and J. W. S. Cassels, On the equation $ {Y^2} = X({X^2} + p)$, Math. Comp. 42 (1984), 257-264. MR 726003 (85f:11017)

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 11G05, 11Y40

Retrieve articles in all journals with MSC: 11G05, 11Y40


Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1993-1182243-X
Keywords: Elliptic curves, Mordell-Weil group, descent
Article copyright: © Copyright 1993 American Mathematical Society

American Mathematical Society