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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBILU, Yuri
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorPARENT, Pierre
dc.date.accessioned2024-04-04T02:49:33Z
dc.date.available2024-04-04T02:49:33Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191831
dc.description.abstractEnWe bound the j -invariant of integral points on a modular curve in terms of the congruence group de?ning the curve. We apply this to prove that the modular curve Xsplit (p3 ) has no non-trivial rational point if p is a sufficiently large prime number. Assuming the GRH, one can replace p3 by p2 .
dc.language.isoen
dc.title.enBounds for Integral j -Invariants and Cartan Structures on Elliptic Curves
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Analyse classique [math.CA]
dc.identifier.arxiv0807.2350
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-00294699
hal.version1
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00294699v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BILU,%20Yuri&PARENT,%20Pierre&rft.genre=preprint


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