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dc.contributor.author
Kazalicki, Matija  
dc.contributor.author
Kohen, Daniel  
dc.date.available
2018-08-14T19:06:52Z  
dc.date.issued
2017-04  
dc.identifier.citation
Kazalicki, Matija; Kohen, Daniel; On a special case of Watkins’ conjecture; American Mathematical Society; Proceedings of the American Mathematical Society; 146; 2; 4-2017; 541-545  
dc.identifier.issn
0002-9939  
dc.identifier.uri
http://hdl.handle.net/11336/55470  
dc.description.abstract
Watkins’ conjecture asserts that for a rational elliptic curve E the degree of the modular parametrization is divisible by 2r, where r is the rank of E. In this paper, we prove that if the modular degree is odd, then E has rank zero. Moreover, we prove that the conjecture holds for all rank two rational elliptic curves of prime conductor and positive discriminant.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
American Mathematical Society  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Modular  
dc.subject
Degree  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
On a special case of Watkins’ conjecture  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2018-08-14T14:01:00Z  
dc.journal.volume
146  
dc.journal.number
2  
dc.journal.pagination
541-545  
dc.journal.pais
Estados Unidos  
dc.journal.ciudad
Providence  
dc.description.fil
Fil: Kazalicki, Matija. University of Sagreb; Croacia  
dc.description.fil
Fil: Kohen, Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina  
dc.journal.title
Proceedings of the American Mathematical Society  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.ams.org/journals/proc/2018-146-02/S0002-9939-2017-13759-9/  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1090/proc/13759  

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