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Mathematics of the USSR-Izvestiya, 1970, Volume 4, Issue 2, Pages 415–430
DOI: https://doi.org/10.1070/IM1970v004n02ABEH000913 (Mi im2423) 		 
This article is cited in 2 scientific papers (total in 3 papers)

Isogenies and torsion of elliptic curves

A. N. Parshin
English version PDF (704 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/IM1970v004n02ABEH000913
Abstract: In this paper we prove the uniform boundedness of the set of isogenies of certain classes of elliptic curves. The result obtained is applied to estimate the sum of exponents of torsion.
Received: 24.11.1969
Bibliographic databases:
Document Type: Article
UDC: 513.6
MSC: 20K10, 13D30, 14H52
Language: English
Original paper language: Russian
Citation: A. N. Parshin, “Isogenies and torsion of elliptic curves”, Math. USSR-Izv., 4:2 (1970), 415–430
Citation in format AMSBIB
\Bibitem{Par70}
\by A.~N.~Parshin
\paper Isogenies and torsion of elliptic curves
\jour Math. USSR-Izv.
\yr 1970
\vol 4
\issue 2
\pages 415--430
\mathnet{http://mi.mathnet.ru//eng/im2423}
\crossref{https://doi.org/10.1070/IM1970v004n02ABEH000913}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=274453}
\zmath{https://zbmath.org/?q=an:0211.53301|0216.05901}
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  • https://www.mathnet.ru/eng/im/v34/i2/p409
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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