Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves

Type: Preprint

Publication Date: 2017-01-01

Citations: 13

DOI: https://doi.org/10.48550/arxiv.1701.02458

Locations

  • arXiv (Cornell University) - View - PDF
  • MPG.PuRe (Max Planck Society) - View - PDF
  • DataCite API - View

Similar Works

Action Title Year Authors
+ Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves 2020 Manjul Bhargava
Arul Shankar
Takashi Taniguchi
Frank Thorne
Jacob Tsimerman
Zhao Yang
+ On $2$-Selmer groups and quadratic twists of elliptic curves 2020 Daniel Barrera Salazar
Ariel Pacetti
Gonzalo TornarĂ­a
+ On the $2$-Selmer group of Jacobians of hyperelliptic curves 2023 Daniel Barrera Salazar
Ariel Pacetti
Gonzalo TornarĂ­a
+ PDF Chat $\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks 2025 Somnath Jha
Dipramit Majumdar
Pratiksha Shingavekar
+ On Class Numbers, Torsion Subgroups, and Quadratic Twists of Elliptic Curves 2020 Talia Blum
Caroline Choi
Alexandra Hoey
Jonas Iskander
Kaya Lakein
Thomas C. Martinez
+ 2-Selmer groups and Heegner points on elliptic curves 2015 Chao Li
+ On Tate-Shafarevich groups of some elliptic curves 1999 Franz Lemmermeyer
+ PDF Chat On Tate-Shafarevich groups of some elliptic curves 2012 Franz Lemmermeyer
+ PDF Chat On $2$-Selmer groups and quadratic twists of elliptic curves 2021 Daniel Barrera Salazar
Ariel Pacetti
Gonzalo TornarĂ­a
+ On 2-Selmer ranks of quadratic twists of elliptic curves 2015 Myungjun Yu
+ On Class Numbers, Torsion Subgroups, and Quadratic Twists of Elliptic Curves 2020 Talia Blum
Caroline Choi
Alexandra Hoey
Jonas Iskander
Kaya Lakein
Thomas C. Martinez
+ PDF Chat On class numbers, torsion subgroups, and quadratic twists of elliptic curves 2021 Talia Blum
Caroline Choi
Alexandra Hoey
Jonas Iskander
Kaya Lakein
Thomas C. Martinez
+ Non-trivial bounds on 2, 3, 4, and 5-torsion in class groups of number fields, conditional on standard $L$-function conjectures 2021 Arul Shankar
Jacob Tsimerman
+ Finding large Selmer rank via an arithmetic theory of local constants 2005 Barry Mazur
Karl Rubin
+ PDF Chat On $2$-Selmer ranks of quadratic twists of elliptic curves 2017 Myungjun Yu
+ Average bounds for the $\ell$-torsion in class groups of cyclic extensions 2017 Christopher Frei
Martin Widmer
+ Average bounds for the $\ell$-torsion in class groups of cyclic extensions 2017 Christopher R. Frei
Martin Widmer
+ $3$-Selmer group, ideal class groups and cube sum problem 2022 Somnath Jha
Dipramit Majumdar
Pratiksha Shingavekar
+ Ranks of abelian varieties in cyclotomic twist families 2021 Ari Shnidman
Ariel Weiss
+ PDF Chat ABELIAN -DIVISION FIELDS OF ELLIPTIC CURVES AND BRAUER GROUPS OF PRODUCT KUMMER & ABELIAN SURFACES 2017 Anthony Várilly‐Alvarado
Bianca Viray

Works Cited by This (0)

Action Title Year Authors