{"paper":{"title":"Bornes optimales pour la diff\\'erence entre la hauteur de Weil et la hauteur de N\\'eron-Tate sur les courbes elliptiques sur \\Qbar","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Peter Bruin","submitted_at":"2012-12-28T13:04:16Z","abstract_excerpt":"We give an algorithm that, given an elliptic curve $E$ over $\\Qbar$ in Weierstra{\\ss} form, computes the infimum and supremum of the difference between the na\\\"{\\i}ve and canonical height functions on $E(\\Qbar)$.\n-----\nNous donnons un algorithme qui, \\'etant donn\\'ee une courbe elliptique $E$ sur $\\Qbar$ sous la forme de Weierstra\\ss, calcule l'infimum et le supremum de la diff\\'erence entre la hauteur na\\\"{\\i}ve et la hauteur canonique sur $E(\\Qbar)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.6515","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}