Proceedings of the 2nd International Forum on Management, Education and Information Technology Application (IFMEITA 2017)

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Elliptic Curve Integral Points on y2=x3+19x-46

Authors
Jianhong Zhao, Lixing Yang
Corresponding Author
Jianhong Zhao
Available Online February 2018.
DOI
10.2991/ifmeita-17.2018.108How to use a DOI?
Keywords
Elliptic Curve; Pell equation; integer solution; common solution; Legendre symbol.
Abstract

By using congruence and Legendre Symbol, it can be proved that elliptic curve has only one integer point:

Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2nd International Forum on Management, Education and Information Technology Application (IFMEITA 2017)
Series
Advances in Social Science, Education and Humanities Research
Publication Date
February 2018
ISBN
10.2991/ifmeita-17.2018.108
ISSN
2352-5398
DOI
10.2991/ifmeita-17.2018.108How to use a DOI?
Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - CONF
AU  - Jianhong Zhao
AU  - Lixing Yang
PY  - 2018/02
DA  - 2018/02
TI  - Elliptic Curve Integral Points on y2=x3+19x-46
BT  - Proceedings of the 2nd International Forum on Management, Education and Information Technology Application (IFMEITA 2017)
PB  - Atlantis Press
SP  - 628
EP  - 632
SN  - 2352-5398
UR  - https://doi.org/10.2991/ifmeita-17.2018.108
DO  - 10.2991/ifmeita-17.2018.108
ID  - Zhao2018/02
ER  -