Isogenies of non-CM elliptic curves with rational j-invariants over number fields

DOI10.1017/S0305004117000160zbMath1429.11107arXiv1506.03127OpenAlexW2962677307MaRDI QIDQ4600758

Filip Najman

Publication date: 12 January 2018

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.03127

zbMATH Keywords

elliptic curvestorsion groups

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52)

Related Items (5)

Quadratic points on bielliptic modular curves ⋮ Cyclic isogenies of elliptic curves over fixed quadratic fields ⋮ \(\mathbb{Q}\)-curves over odd degree number fields ⋮ Residual Galois representations of elliptic curves with image contained in the normaliser of a nonsplit Cartan ⋮ Cartan images and \(\ell \)-torsion points of elliptic curves with rational \(j\)-invariant

Cites Work

• On the field of definition of \(p\)-torsion points on elliptic curves over the rationals
• Rational points on \(X_0^+(p^r)\)
• No 17-torsion on elliptic curves over cubic number fields
• 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
• Torsion points on elliptic curves and \(q\)-coefficients of modular forms
• Bounds for the torsion of elliptic curves over number fields
• Galois properties of points of finite order of elliptic curves
• Torsion points on elliptic curves over number fields of small degree
• COMPUTING IMAGES OF GALOIS REPRESENTATIONS ATTACHED TO ELLIPTIC CURVES
• On the Modular Curves X ₀ (125), X ₁ (25), X ₁ (49)
• The Modular Curve X ₀ (169) and Rational Isogeny
• The modular curves X₀(65) and X₀(91) and rational isogeny
• The modular curve X₀(39) and rational isogeny
• Bornes effectives pour la torsion des courbes elliptiques sur les corps de nombres
• Determinants of subquotients of Galois representations associated with abelian varieties

This page was built for publication: Isogenies of non-CM elliptic curves with rational j-invariants over number fields