Bounds for Integral j -Invariants and Cartan Structures on Elliptic Curves
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | BILU, Yuri | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | PARENT, Pierre | |
dc.date.accessioned | 2024-04-04T02:49:33Z | |
dc.date.available | 2024-04-04T02:49:33Z | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191831 | |
dc.description.abstractEn | We 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.iso | en | |
dc.title.en | Bounds for Integral j -Invariants and Cartan Structures on Elliptic Curves | |
dc.type | Document de travail - Pré-publication | |
dc.subject.hal | Mathématiques [math]/Analyse classique [math.CA] | |
dc.identifier.arxiv | 0807.2350 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
hal.identifier | hal-00294699 | |
hal.version | 1 | |
hal.audience | Non spécifiée | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00294699v1 | |
bordeaux.COinS | ctx_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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