Estimating isogenies on elliptic curves

DOI10.1007/BF01231178zbMath0722.14027OpenAlexW2061710893MaRDI QIDQ755819

Gisbert Wüstholz, David W. Masser

Publication date: 1990

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143776

zbMATH Keywords

isogenyelliptic curvelogarithmic Weil height

Mathematics Subject Classification ID

Elliptic curves (14H52) Isogeny (14K02)

Related Items (21)

Minorations de hauteurs sur les variétés abéliennes ⋮ Rational points on \(X_0^+(p^r)\) ⋮ Torsion points on isogenous abelian varieties ⋮ Serre's uniformity problem in the split Cartan case ⋮ Minorations de formes linéaires de logarithmes elliptiques ⋮ Modular invariants and isogenies ⋮ ABELIAN -DIVISION FIELDS OF ELLIPTIC CURVES AND BRAUER GROUPS OF PRODUCT KUMMER & ABELIAN SURFACES ⋮ Fields of definition for homomorphisms of abelian varieties ⋮ Prime power terms in elliptic divisibility sequences ⋮ Slopes and abelian subvariety theorem ⋮ THE EXPLICIT MORDELL CONJECTURE FOR FAMILIES OF CURVES ⋮ Pairs of elliptic curves with maximal Galois representations ⋮ Solutions of equations involving the modular 𝑗 function ⋮ Elliptic Functions and Transcendence ⋮ Lower bounds of linear forms in logarithms for Drinfeld modules ⋮ Sharp estimates for Weierstrass elliptic functions ⋮ Some unlikely intersections beyond André–Oort ⋮ Unlikely intersections with isogeny orbits in a product of elliptic schemes ⋮ Counting rational points and lower bounds for Galois orbits ⋮ Formes linéaires de logarithmes effectives sur les variétés abéliennes ⋮ Endomorphism estimates for abelian varieties

Cites Work

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• Quelques résultats de transcendance liés à l'invariant modulaire j. (Some transcendence results related to the modular invariant j)
• Multiplicity estimates on group varieties
• Multiplicity estimates for analytic functions. I.
• Counting points of small height on elliptic curves
• An Introduction to the Geometry of Numbers
• Some problems involving powers of integers
• Padé approximations and diophantine geometry
• Lemmes de zéros dans les groupes algébriques commutatifs
• Algebraic Groups and Algebraic Dependence

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