Algebra i Analiz
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra i Analiz:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Algebra i Analiz, 2012, Volume 24, Issue 4, Pages 64–83 (Mi aa1292)  
Research Papers

On an elliptic curve defined over $\mathbb Q(\sqrt{-23})$

L. Dieulefaita, M. Minkb, B. Z. Morozc

a Departament D'Álgebra i Geometria, Facultat de Matemátiques, Universitat de Barcelona, Barcelona, Spain
b Seminar für Mathematik und ihre Didaktik, Universität zu Köln, Köln, Germany
c Max-Planck-Institut für Mathematik, Bonn, Germany
Full-text PDF (254 kB)
References:
PDF
HTML
Abstract: Recently, the first three examples were found of elliptic curves without complex multiplication and defined over an imaginary quadratic field that have been proved to satisfy the Hasse–Weil conjecture. In the paper, the same algorithm is employed to prove the modularity and thereby the Hasse–Weil conjecture for the fourth elliptic curve without CM defined over the imaginary quadratic field $\mathbb Q(\sqrt{-23})$.
Keywords: Hasse–Weil conjecture, elliptic curve.
Received: 10.07.2011
English version:
St. Petersburg Mathematical Journal, 2013, Volume 24, Issue 4, Pages 575–589
DOI: https://doi.org/10.1090/S1061-0022-2013-01254-4
Bibliographic databases:
Document Type: Article
Language: English
Citation: L. Dieulefait, M. Mink, B. Z. Moroz, “On an elliptic curve defined over $\mathbb Q(\sqrt{-23})$”, Algebra i Analiz, 24:4 (2012), 64–83; St. Petersburg Math. J., 24:4 (2013), 575–589
Citation in format AMSBIB
\Bibitem{DieMinMor12}
\by L.~Dieulefait, M.~Mink, B.~Z.~Moroz
\paper On an elliptic curve defined over $\mathbb Q(\sqrt{-23})$
\jour Algebra i Analiz
\yr 2012
\vol 24
\issue 4
\pages 64--83
\mathnet{http://mi.mathnet.ru/aa1292}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3088007}
\zmath{https://zbmath.org/?q=an:06208625}
\elib{https://elibrary.ru/item.asp?id=20730166}
\transl
\jour St. Petersburg Math. J.
\yr 2013
\vol 24
\issue 4
\pages 575--589
\crossref{https://doi.org/10.1090/S1061-0022-2013-01254-4}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000331548500003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84878656932}
Linking options:
  • https://www.mathnet.ru/eng/aa1292
  • https://www.mathnet.ru/eng/aa/v24/i4/p64
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
    Statistics & downloads:
    Abstract page:389
    Full-text PDF :110
    References:50
    First page:24
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024