Three points of great height on elliptic curves

Andrew Bremner; Duncan A. Buell

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

Three points of great height on elliptic curves

Andrew Bremner
, Duncan A. Buell

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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

Original language	English (US)
Pages (from-to)	111-115
Number of pages	5
Journal	Mathematics of Computation
Volume	61
Issue number	203
DOIs	https://doi.org/10.1090/S0025-5718-1993-1182243-X
State	Published - Jul 1993

Keywords

Descent
Elliptic curves
Mordell-Weil group

ASJC Scopus subject areas

Algebra and Number Theory
Computational Mathematics
Applied Mathematics

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10.1090/S0025-5718-1993-1182243-X

Cite this

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title = "Three points of great height on elliptic curves",

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

keywords = "Descent, Elliptic curves, Mordell-Weil group",

author = "Andrew Bremner and Buell, \{Duncan A.\}",

year = "1993",

month = jul,

doi = "10.1090/S0025-5718-1993-1182243-X",

language = "English (US)",

volume = "61",

pages = "111--115",

journal = "Mathematics of Computation",

issn = "0025-5718",

publisher = "American Mathematical Society",

number = "203",

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TY - JOUR

T1 - Three points of great height on elliptic curves

AU - Bremner, Andrew

AU - Buell, Duncan A.

PY - 1993/7

Y1 - 1993/7

N2 - We give three elliptic curves whose generators have great height, demonstrating along the way a moderately efficient method for finding such points.

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

KW - Descent

KW - Elliptic curves

KW - Mordell-Weil group

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UR - https://www.scopus.com/pages/publications/84966204648#tab=citedBy

U2 - 10.1090/S0025-5718-1993-1182243-X

DO - 10.1090/S0025-5718-1993-1182243-X

M3 - Article

AN - SCOPUS:84966204648

SN - 0025-5718

VL - 61

SP - 111

EP - 115

JO - Mathematics of Computation

JF - Mathematics of Computation

IS - 203

ER -

Three points of great height on elliptic curves

Abstract

Keywords

ASJC Scopus subject areas

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