Proceedings of the 2016 International Symposium on Advances in Electrical, Electronics and Computer Engineering

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Congruent Numbers and The Rank of Elliptic Curves

Authors
Yuanbo Liu
Corresponding Author
Yuanbo Liu
Available Online April 2016.
DOI
10.2991/isaeece-16.2016.43How to use a DOI?
Keywords
Non-congruent number; Congruent number; Elliptic Curves
Abstract

Let p and q be prime with and ,and let . If , then is a congruent if and only if the equation has rational solutions. And The Birch Swinnerton-Dyer conjecture predicts that the rank of is one.

Copyright
© 2016, 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 2016 International Symposium on Advances in Electrical, Electronics and Computer Engineering
Series
Advances in Engineering Research
Publication Date
April 2016
ISBN
10.2991/isaeece-16.2016.43
ISSN
2352-5401
DOI
10.2991/isaeece-16.2016.43How to use a DOI?
Copyright
© 2016, 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

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TY  - CONF
AU  - Yuanbo Liu
PY  - 2016/04
DA  - 2016/04
TI  - Congruent Numbers and The Rank of Elliptic Curves
BT  - Proceedings of the 2016 International Symposium on Advances in Electrical, Electronics and Computer Engineering
PB  - Atlantis Press
SP  - 224
EP  - 227
SN  - 2352-5401
UR  - https://doi.org/10.2991/isaeece-16.2016.43
DO  - 10.2991/isaeece-16.2016.43
ID  - Liu2016/04
ER  -