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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)
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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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1970, Volume 34, Issue 2, Pages 409–424
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”, Izv. Akad. Nauk SSSR Ser. Mat., 34:2 (1970), 409–424; 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 Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1970
\vol 34
\issue 2
\pages 409--424
\mathnet{http://mi.mathnet.ru/im2423}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=274453}
\zmath{https://zbmath.org/?q=an:0211.53301|0216.05901}
\transl
\jour Math. USSR-Izv.
\yr 1970
\vol 4
\issue 2
\pages 415--430
\crossref{https://doi.org/10.1070/IM1970v004n02ABEH000913}
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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
    Statistics & downloads:
    Abstract page:689
    Russian version PDF:424
    English version PDF:15
    References:61
    First page:3
     
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