Serre’s uniformity conjecture for elliptic curves with rational cyclic isogenies

DOI10.1090/tran/7198zbMath1461.11087arXiv1702.01985OpenAlexW2588694146WikidataQ123133904 ScholiaQ123133904MaRDI QIDQ4561795

Pedro Lemos

Publication date: 13 December 2018

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.01985

zbMATH Keywords

cyclic isogeniesSerre's uniformity conjecture

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Related Items (6)

Isolated points on \(X_1(\ell^n)\) with rational \(j\)-invariant ⋮ Some cases of Serre's uniformity problem ⋮ Serre’s Constant of Elliptic Curves Over the Rationals ⋮ Odd degree isolated points on \(X_1(N)\) with rational \(j\)-invariant ⋮ Residual Galois representations of elliptic curves with image contained in the normaliser of a nonsplit Cartan ⋮ On the level of modular curves that give rise to isolated \(j\)-invariants

Uses Software

• LMFDB
• ecdata

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rational points on \(X_0^+(p^r)\)
• Serre's uniformity problem in the split Cartan case
• Quelques applications du théorème de densité de Chebotarev
• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• Modular curves and the Eisenstein ideal
• On a result of Imin Chen
• On relations between Jacobians of certain modular curves
• Galois properties of points of finite order of elliptic curves
• COMPUTING IMAGES OF GALOIS REPRESENTATIONS ATTACHED TO ELLIPTIC CURVES
• The Jacobians of Non-Split Cartan Modular Curves

This page was built for publication: Serre’s uniformity conjecture for elliptic curves with rational cyclic isogenies