On the ranks of elliptic curves with isogenies

DOI10.1142/S1793042117501202zbMath1428.11107arXiv1611.01329OpenAlexW2963748314MaRDI QIDQ4595062

Hannah Goodwillie, Harris B. Daniels

Publication date: 28 November 2017

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

Full work available at URL: https://arxiv.org/abs/1611.01329

zbMATH Keywords

elliptic curvesrational pointsrank

Mathematics Subject Classification ID

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

Related Items (1)

On the ranks of elliptic curves with isogenies

Uses Software

• Magma
• SageMath
• LMFDB

Cites Work

• On the field of definition of \(p\)-torsion points on elliptic curves over the rationals
• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• An example of elliptic curve over \(\mathbb{Q}\) with rank \(\geq 20\)
• The Magma algebra system. I: The user language
• Irregular Diophantine \(m\)-tuples and elliptic curves of high rank
• Elliptic curves with large rank over function fields
• A heuristic for boundedness of ranks of elliptic curves
• Rank Computations for the Congruent Number Elliptic Curves
• Ranks of elliptic curves
• Finding meaning in error terms
• The Arithmetic of 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
• On the ranks of elliptic curves with isogenies
• The Square-Free Sieve and the Rank of Elliptic Curves

This page was built for publication: On the ranks of elliptic curves with isogenies