The integer points on three related elliptic curves

Andrew Bremner; Patrick Morton

doi:10.1090/S0025-5718-1982-0658228-9

The integer points on three related elliptic curves

Andrew Bremner, Patrick Morton

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

2 Scopus citations

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 language	English (US)
Pages (from-to)	235-238
Number of pages	4
Journal	Mathematics of Computation
Volume	39
Issue number	159
DOIs	https://doi.org/10.1090/S0025-5718-1982-0658228-9
State	Published - 1982
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory
Computational Mathematics
Applied Mathematics

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10.1090/S0025-5718-1982-0658228-9

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title = "The integer points on three related elliptic curves",

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.",

author = "Andrew Bremner and Patrick Morton",

year = "1982",

doi = "10.1090/S0025-5718-1982-0658228-9",

language = "English (US)",

volume = "39",

pages = "235--238",

journal = "Mathematics of Computation",

issn = "0025-5718",

publisher = "American Mathematical Society",

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T1 - The integer points on three related elliptic curves

AU - Bremner, Andrew

AU - Morton, Patrick

PY - 1982

Y1 - 1982

N2 - 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.

AB - 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.

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U2 - 10.1090/S0025-5718-1982-0658228-9

DO - 10.1090/S0025-5718-1982-0658228-9

M3 - Article

AN - SCOPUS:84966198914

SN - 0025-5718

VL - 39

SP - 235

EP - 238

JO - Mathematics of Computation

JF - Mathematics of Computation

IS - 159

ER -

The integer points on three related elliptic curves

Abstract

ASJC Scopus subject areas

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