Pairs of elliptic curves with maximal Galois representations

DOI10.1016/j.jnt.2013.03.002zbMath1295.11061OpenAlexW2089812020MaRDI QIDQ740882

Nathan Jones

Publication date: 9 September 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2013.03.002

zbMATH Keywords

elliptic curveslarge sieveGalois representations

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Galois representations (11F80) Sieves (11N35)

Related Items (4)

The Lang-Trotter conjecture for products of non-CM elliptic curves ⋮ Products of hyperelliptic Jacobians with maximal Galois image ⋮ Elliptic curves with maximally disjoint division fields ⋮ On the Lang-Trotter conjecture for two elliptic curves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Serre's uniformity problem in the split Cartan case
• Estimating isogenies on elliptic curves
• Finiteness theorems for abelian varieties over number fields.
• Quelques applications du théorème de densité de Chebotarev
• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• Galois properties of points of finite order of elliptic curves
• The Brauer group of Kummer surfaces and torsion of elliptic curves
• Elliptic curves with maximal Galois action on their torsion points
• Almost all elliptic curves are Serre curves
• The Jacobians of Non-Split Cartan Modular Curves
• Galois Action on Division Points of Abelian Varieties with Real Multiplications
• Galois Properties of Division Fields of Elliptic Curves
• Courbes elliptiques sur Q sans nombres premiers exceptionnels

This page was built for publication: Pairs of elliptic curves with maximal Galois representations