Density of odd order reductions for elliptic curves with a rational point of order 2

DOI10.1142/S1793042119500891zbMath1462.11051arXiv1810.10583WikidataQ114071965 ScholiaQ114071965MaRDI QIDQ5232170

Ke Liang, Jeremy Rouse

Publication date: 30 August 2019

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

Full work available at URL: https://arxiv.org/abs/1810.10583

zbMATH Keywords

elliptic curveChebotarev density theoremnatural densityarboreal Galois representation

Mathematics Subject Classification ID

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

Related Items (1)

Uniform bounds on the image of the arboreal Galois representations attached to non-CM elliptic curves

Uses Software

• Magma
• ell-adic-galois-images

Cites Work

• Unnamed Item
• On the order of the reduction of a point on an abelian variety
• The Magma algebra system. I: The user language
• Surjectivity of mod \(2^n\) representations of elliptic curves
• The 1-eigenspace for matrices in \(\mathrm{GL}_{2}(\mathbb Z_{\ell})\)
• Elliptic curves over \(\mathbb {Q}\) and 2-adic images of Galois
• The density of primes dividing a particular non-linear recurrence sequence
• On the Reduction of Points on Abelian Varieties and Tori
• REDUCTIONS OF POINTS ON ALGEBRAIC GROUPS
• Galois theory of iterated endomorphisms
• The density of primes dividing a term in the Somos-5 sequence

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