Generators and integral points on twists of the Fermat cubic
Yasutsugu Fujita; Tadahisa Nara
Acta Arithmetica (2015)
- Volume: 168, Issue: 1, page 1-16
- ISSN: 0065-1036
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topYasutsugu Fujita, and Tadahisa Nara. "Generators and integral points on twists of the Fermat cubic." Acta Arithmetica 168.1 (2015): 1-16. <http://eudml.org/doc/278923>.
@article{YasutsuguFujita2015,
abstract = {We study integral points and generators on cubic twists of the Fermat cubic curve. The main results assert that integral points can be in a system of generators in the case where the Mordell-Weil rank is at most two. As a corollary, we explicitly describe the integral points on the curve.},
author = {Yasutsugu Fujita, Tadahisa Nara},
journal = {Acta Arithmetica},
keywords = {elliptic curve; Fermat cubic; thue equation; canonical height},
language = {eng},
number = {1},
pages = {1-16},
title = {Generators and integral points on twists of the Fermat cubic},
url = {http://eudml.org/doc/278923},
volume = {168},
year = {2015},
}
TY - JOUR
AU - Yasutsugu Fujita
AU - Tadahisa Nara
TI - Generators and integral points on twists of the Fermat cubic
JO - Acta Arithmetica
PY - 2015
VL - 168
IS - 1
SP - 1
EP - 16
AB - We study integral points and generators on cubic twists of the Fermat cubic curve. The main results assert that integral points can be in a system of generators in the case where the Mordell-Weil rank is at most two. As a corollary, we explicitly describe the integral points on the curve.
LA - eng
KW - elliptic curve; Fermat cubic; thue equation; canonical height
UR - http://eudml.org/doc/278923
ER -
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