Construction of Modular Curves and Computation of Their Cardinality over F p

Cédric Tavernier
Additional contact information
Cédric Tavernier: INRIA Rocquencourt

A chapter in Finite Fields with Applications to Coding Theory, Cryptography and Related Areas, 2002, pp 313-327 from Springer

Abstract: Abstract Following [3], and in using several results, we describe an algorithm which compute with a level N given the cardinality over F p of the Jacobian of elliptic curves and hyperelliptic curves of genus 2 which come from X 0(N). We will also sketch how to get a plane affine model for these curves.

Keywords: Modular Form; Elliptic Curf; Abelian Variety; Hyperelliptic Curve; Representative System (search for similar items in EconPapers)
Date: 2002
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59435-9_26

Ordering information: This item can be ordered from
http://www.springer.com/9783642594359

DOI: 10.1007/978-3-642-59435-9_26

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().