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Bornes optimales pour la différence entre la hauteur de Weil et la hauteur de Néron–Tate sur les courbes elliptiques sur $\overline{\mathbb{Q}}$

Volume 160 / 2013

Peter Bruin Acta Arithmetica 160 (2013), 385-397 MSC: 11G05, 11G50, 11Y35. DOI: 10.4064/aa160-4-5


We give an algorithm that, for an elliptic curve $E$ over $\overline{\mathbb Q}$ in Weierstraß form, computes the infimum and supremum of the difference between the naïve and canonical height functions on $E(\overline{\mathbb Q})$.


  • Peter BruinInstitut für Mathematik
    Universität Zürich
    Winterthurerstrasse 190
    CH-8057 Zürich, Schweiz
    Mathematics Institute
    Zeeman Building
    University of Warwick
    Coventry CV4 7AL
    United Kingdom

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