hal.structure.identifier	Laboratoire d'informatique de l'École polytechnique [Palaiseau] [LIX]
hal.structure.identifier	Algorithmic number theory for cryptology [TANC]
dc.contributor.author	ENGE, Andreas
hal.structure.identifier	Institut für Mathematik [Augsburg]
dc.contributor.author	SCHERTZ, Reinhard
dc.date.issued	2005
dc.description.abstractEn	We examine a class of functions on $X_0 (N)$ where $N$ is the product of two arbitrary primes. The functions are built as products of Dedekind's $\eta$-function and play a role in the construction of elliptic curves with complex multiplication. We show how to determine the modular polynomials relating them to the absolute modular invariant $j$ and prove different properties of these polynomials. In particular, we show that they provide models for the modular curves $X_0 (N)$.
dc.language.iso	en
dc.publisher	Instytut Matematyczny PAN
dc.title.en	Modular Curves of Composite Level
dc.type	Article de revue
dc.subject.hal	Mathématiques [math]/Théorie des nombres [math.NT]
bordeaux.journal	Acta Arithmetica
bordeaux.page	129-141
bordeaux.volume	118
bordeaux.issue	2
bordeaux.peerReviewed	oui
hal.identifier	inria-00386309
hal.version	1
hal.origin.link	https://hal.archives-ouvertes.fr//inria-00386309v1
bordeaux.COinS	ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Acta%20Arithmetica&rft.date=2005&rft.volume=118&rft.issue=2&rft.spage=129-141&rft.epage=129-141&rft.au=ENGE,%20Andreas&SCHERTZ,%20Reinhard&rft.genre=article

Archivos en el ítem

Archivos	Tamaño	Formato	Ver
No hay archivos asociados a este ítem.

Modular Curves of Composite Level