Three points of great height on elliptic curves

Bremner, Andrew; Buell, Duncan A.

doi:10.1090/S0025-5718-1993-1182243-X

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

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Three points of great height on elliptic curves
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by Andrew Bremner and Duncan A. Buell PDF

Math. Comp. 61 (1993), 111-115 Request permission

Abstract:

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

References

On the equation

A. Bremner and J. W. S. Cassels, On the equation $Y^{2}=X(X^{2}+p)$, Math. Comp. 42 (1984), no. 165, 257–264. MR 726003, DOI 10.1090/S0025-5718-1984-0726003-4