Editing Elliptic curve (section)

==References==
[[Serge Lang]], in the introduction to the book cited below, stated that "It is possible to write endlessly on elliptic curves. (This is not a threat.)" The following short list is thus at best a guide to the vast expository literature available on the theoretical, algorithmic, and cryptographic aspects of elliptic curves.
* {{cite book
 | author = Ian Blake |author2=Gadiel Seroussi |author3=Nigel Smart | author-link3=Nigel Smart (cryptographer)
 | year = 2000
 | title = Elliptic Curves in Cryptography
 | series=LMS Lecture Notes
 | publisher = Cambridge University Press
 | isbn=0-521-65374-6
 }}
* {{cite journal |title=Three Fermat Trails to Elliptic Curves |first=Ezra |last=Brown | author-link1=Ezra Brown |s2cid=5591395 |journal=The College Mathematics Journal |volume=31 |issue=3 |year=2000 |pages=162–172 |doi=10.1080/07468342.2000.11974137 }}, winner of the MAA writing prize the [[George Pólya Award]]
* {{cite book
 | author = Richard Crandall
 |author2=Carl Pomerance 
 | year = 2001
 | title = Prime Numbers: A Computational Perspective
 | publisher = Springer-Verlag
 | edition = 1st
 | isbn=0-387-94777-9
 | chapter = Chapter 7: Elliptic Curve Arithmetic
 | pages = 285–352
 |author2-link=Carl Pomerance 
 |author-link=Richard Crandall 
 }}
* {{cite book
 | first=John | last=Cremona
 | year = 1997 | edition=2nd
 | title = Algorithms for Modular Elliptic Curves
 | publisher = Cambridge University Press
 | url = http://www.warwick.ac.uk/staff/J.E.Cremona//book/fulltext/index.html
 | isbn=0-521-59820-6
 }}
*{{cite book
 |    author = Darrel Hankerson, [[Alfred Menezes]] and [[Scott Vanstone]]
 |      year = 2004
 |     title = Guide to Elliptic Curve Cryptography
 | publisher = [[Springer Science+Business Media|Springer]]
 |        isbn = 0-387-95273-X
 |       url = http://www.cacr.math.uwaterloo.ca/ecc/
 }}
* {{Hardy and Wright}}  Chapter XXV
* {{Cite book | last1=Hellegouarch | first1=Yves | title=Invitation aux mathématiques de Fermat-Wiles | publisher=Dunod | location=Paris | isbn=978-2-10-005508-1 | year=2001 }}
* {{cite book
 | first=Dale | last=Husemöller
 | author-link=Dale Husemoller
 | year = 2004
 | title = Elliptic Curves
 | edition = 2nd
 | series = [[Graduate Texts in Mathematics]]
 | volume=111
 | publisher = Springer
 | isbn=0-387-95490-2
 }}
* {{cite book
 | author1= Kenneth Ireland 
 |author2=Michael I. Rosen | author-link2 =Michael Rosen (mathematician)
 | year = 1998
 | title = A Classical Introduction to Modern Number Theory
 | volume=84 | series=Graduate Texts in Mathematics
 | publisher = Springer
 | edition = 2nd revised
 | chapter = Chapters 18 and 19
 | isbn=0-387-97329-X
 }}
* {{cite book
 | first = Anthony W. |last=Knapp | author-link = Anthony W. Knapp
 | orig-year = 1992 |year=2018 |url=https://books.google.com/books?id=Xf9ZDwAAQBAJ
 | title = Elliptic Curves
 | series = Mathematical Notes | volume=40
 | publisher = Princeton University Press |isbn=9780691186900
 }}
* {{Cite book
 | last = Koblitz |first=Neal | author-link = Neal Koblitz
 | year = 1993 | edition=2nd
 | title = Introduction to Elliptic Curves and Modular Forms
 | series = Graduate Texts in Mathematics
 | volume=97
 | publisher = Springer-Verlag
 | isbn=0-387-97966-2
 }}
* {{Cite book
 | last = Koblitz |first = Neal | author-link = Neal Koblitz
 | year = 1994
 | title = A Course in Number Theory and Cryptography
 | series = Graduate Texts in Mathematics
 | volume=114
 | publisher = Springer-Verlag
 | edition = 2nd
 | isbn = 0-387-94293-9
 | chapter = Chapter 6
 }}
* {{cite book | author=Serge Lang | author-link=Serge Lang | title=Elliptic curves: Diophantine analysis | series=Grundlehren der mathematischen Wissenschaften | volume=231 | publisher=Springer-Verlag | year=1978 | isbn=3-540-08489-4 }}
* {{cite book|author1=Henry McKean | author-link1=Henry McKean |author2=Victor Moll|author-link2=Victor Hugo Moll
 |title=Elliptic curves: function theory, geometry and arithmetic
 |publisher=Cambridge University Press|isbn=0-521-65817-9|year=1999}}
* {{cite book | author1=Ivan Niven | author-link1=Ivan M. Niven | author2=Herbert S. Zuckerman | author3=Hugh Montgomery | author-link3=Hugh Montgomery (mathematician) | title=An introduction to the theory of numbers | chapter-url=https://archive.org/details/introductiontoth0000nive | chapter-url-access=registration | edition=5th | publisher=John Wiley | year=1991 | isbn=0-471-54600-3 | chapter=Section 5.7}}
* {{Cite book
 | last = Silverman | first=Joseph H. | author-link=Joseph H. Silverman
 | year = 1986
 | title = The Arithmetic of Elliptic Curves
 | series = Graduate Texts in Mathematics
 | volume=106
 | publisher = Springer-Verlag
 | isbn=0-387-96203-4
 }}
* {{cite book
 | author = Joseph H. Silverman | author-link=Joseph H. Silverman
 | year = 1994
 | title = Advanced Topics in the Arithmetic of Elliptic Curves
 | series = Graduate Texts in Mathematics
 | volume=151
 | publisher = Springer-Verlag
 | isbn=0-387-94328-5
 }}
* {{cite book
 | author = Joseph H. Silverman | author-link=Joseph H. Silverman
 |author2=John Tate 
 | year = 1992
 | title = Rational Points on Elliptic Curves
 | publisher = Springer-Verlag
 | isbn=0-387-97825-9
 | author2-link=John Tate (mathematician)
 }}
* {{cite journal | author=John Tate | author-link=John Tate (mathematician) | title=The arithmetic of elliptic curves | journal=[[Inventiones Mathematicae]] | volume=23 | pages=179–206 | year=1974 | doi=10.1007/BF01389745 | issue=3–4 | bibcode=1974InMat..23..179T | s2cid=120008651 }}
* {{cite book
 | author = Lawrence Washington | author-link=Lawrence C. Washington | year = 2003
 | title = Elliptic Curves: Number Theory and Cryptography
 | url = https://archive.org/details/ellipticcurvesnu0000wash | url-access = registration | publisher = Chapman & Hall/CRC
 | isbn=1-58488-365-0
 }}