Triviality of $X_{\mathrm{split}} (N) (Q )$ for certain congruence classes of the level
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PARENT, Pierre | |
| dc.date.accessioned | 2024-04-04T02:46:23Z | |
| dc.date.available | 2024-04-04T02:46:23Z | |
| dc.date.created | 2002 | |
| dc.date.issued | 2003 | |
| dc.identifier.issn | 0764-4442 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191546 | |
| dc.description.abstractEn | We give a criterion to check if, given a prime number N, the only rational points of the modular curve $X_{\mathrm{split}} (N)$ are trivial ({\it i.e.} cusps or points furnished by complex multiplication). We then prove that this criterion is verified for N large enough and satisfying explicit congruences. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject | points de Gross-Heegner | |
| dc.subject | Courbes elliptiques | |
| dc.subject | courbes modulaires | |
| dc.subject | points rationnels | |
| dc.subject | représentations galoisiennes | |
| dc.subject | points de Gross-Heegner. | |
| dc.title.en | Triviality of $X_{\mathrm{split}} (N) (Q )$ for certain congruence classes of the level | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| bordeaux.journal | Comptes rendus de l'Académie des sciences. Série I, Mathématique | |
| bordeaux.page | 377-380 | |
| bordeaux.volume | 5 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 336 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00325667 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00325667v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Comptes%20rendus%20de%20l'Acad%C3%A9mie%20des%20sciences.%20S%C3%A9rie%20I,%20Math%C3%A9matique&rft.date=2003&rft.volume=5&rft.issue=336&rft.spage=377-380&rft.epage=377-380&rft.eissn=0764-4442&rft.issn=0764-4442&rft.au=PARENT,%20Pierre&rft.genre=article |
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