Cover Image

On 2-Selmer groups of twists after quadratic extension

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Morgan, Adam, Paterson, Ross
Format:	Preprint
Published:	2020
Subjects:	Number Theory 11G05 (Primary) 11G10, 11N45, 14H52 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The Failure of Galois Descent for p-Selmer Groups of Elliptic Curves
by: Paterson, Ross
Published: (2021)

2-Selmer Groups over Multiquadratic Extensions
by: Paterson, Ross
Published: (2024)

Local data of elliptic curves under quadratic twist
by: Barrios, Alexander J., et al.
Published: (2025)

Arithmetic intersections on non-split Cartan modular curves
by: Love, Jonathan, et al.
Published: (2026)

Squares in arithmetic progression over quadratic extensions of number fields
by: González-Jiménez, Enrique
Published: (2026)

Stability of torsion subgroups of elliptic curves over non-Galois extensions of odd prime degree
by: Im, Bo-Hae, et al.
Published: (2025)

Quadratic Twists as Random Variables
by: Paterson, Ross
Published: (2024)

A graph-theoretic approach to computing Selmer groups of elliptic curves $y^2 = x^3 + bx$ over $\mathbb{Q}(i)$
by: Kling, Anthony, et al.
Published: (2024)

Local points on twists of $X(p)$ with applications
by: Freitas, Nuno, et al.
Published: (2025)

Galois module structures and the Hasse principle in twist families via the distribution of Selmer groups
by: Bartel, Alex, et al.
Published: (2025)

Curves of genus two with maps of every degree to a fixed elliptic curve
by: Howe, Everett W.
Published: (2026)

Linear and quadratic Chabauty for affine hyperbolic curves
by: Leonhardt, Marius, et al.
Published: (2023)

$\ell$-adic images of Galois for elliptic curves over $\mathbb{Q}$
by: Rouse, Jeremy, et al.
Published: (2021)

Generalized Fruit Diophantine equation over number fields
by: Sahoo, Satyabrat, et al.
Published: (2024)

Near coincidences and nilpotent division fields
by: Daniels, Harris, et al.
Published: (2024)

Models of CM elliptic curves with a prescribed $\ell$-adic Galois image
by: González-Jiménez, Enrique, et al.
Published: (2024)

Intersecting the torsion of elliptic curves
by: Garcia-Fritz, Natalia, et al.
Published: (2023)

Rank growth of abelian varieties over certain finite Galois extensions
by: Choi, Seokhyun, et al.
Published: (2024)

Counting points on some genus zero Shimura curves
by: Genao, Tyler, et al.
Published: (2025)

The $3$-isogeny Selmer groups of the elliptic curves $y^2=x^3+n^2$
by: Chan, Stephanie
Published: (2022)

Bianchi's elliptic quintic curves and several modular function fields of level ten
by: Kaneko, Masanobu, et al.
Published: (2025)

Refinements on vertical Sato-Tate
by: Ma, Zhao Yu
Published: (2023)

Selmer ranks in twists of CM abelian varieties
by: Shu, Jie
Published: (2025)

Duality of Selmer groups of an abelian variety over a number field
by: Biswas, Saikat
Published: (2025)

Explicit $7$-torsion in the Tate-Shafarevich groups of genus $2$ Jacobians
by: Frengley, Sam
Published: (2024)

Existence and non-existence of rational elliptic curves with prescribed torsion subgroups over quadratic fields
by: Avci, Omer
Published: (2026)

Tate-Shafarevich results for quartic twists in characteristic $2$
by: Borges, Herivelto, et al.
Published: (2024)

The image of the adelic Galois representation of an elliptic curve with complex multiplication
by: Lozano-Robledo, Álvaro, et al.
Published: (2026)

$p$-converse theorems for elliptic curves of potentially good ordinary reduction at Eisenstein primes
by: Keller, Timo, et al.
Published: (2024)

On the anticyclotomic Iwasawa theory of newforms at Eisenstein primes of semistable reduction
by: Keller, Timo, et al.
Published: (2024)

A torsion-intersection proof of perfect-cuboid nonexistence on 1,072 explicit master-tuple fibers
by: Peschmann, René
Published: (2026)

Exponent-one blockers and a Mordell-Weil construction of Euler bricks
by: Peschmann, René
Published: (2026)

Counting elliptic curves over $\mathbb{Q}$ with bounded naive height
by: Barquero-Sanchez, Adrian, et al.
Published: (2025)

The density and distribution of CM elliptic curves over $\mathbb{Q}$
by: Barquero-Sanchez, Adrian, et al.
Published: (2024)

On Galois covers of curves and arithmetic of Jacobians
by: Konstantinou, Alexandros, et al.
Published: (2024)

On the squareness of the discriminant of elliptic curves with an isogeny
by: González-Jiménez, Enrique
Published: (2026)

On the Density of Coprime Reductions of Elliptic Curves
by: Hamakiotes, Asimina S., et al.
Published: (2026)

Points of bounded height on projective spaces over global function fields via geometry of numbers
by: Phillips, Tristan
Published: (2022)

Local-global principle for 11-isogenies of elliptic curves is true over quadratic fields
by: Gajović, Stevan, et al.
Published: (2025)

Intrinsic Subgroups and the $\ell$-adic Galois image
by: Greene, Jacob
Published: (2026)