Image de couverture de livre

Rank growth of elliptic curves in $S_4$ and $A_4$ quartic extensions of the rationals

Fuente: arXiv

Enregistré dans:

Détails bibliographiques
Auteur principal:	Keliher, Daniel
Format:	Preprint
Publié:	2022
Sujets:	Number Theory 11G05
Accès en ligne:	Acceder al recurso
Tags:	Ajouter un tag Pas de tags, Soyez le premier à ajouter un tag!

Documents similaires

Rank growth of elliptic curves over S3 extensions with fixed quadratic resolvents
par: Keliher, Daniel, et autres
Publié: (2025)

Rank stability of elliptic curves in certain non-abelian extensions
par: Pathak, Siddhi, et autres
Publié: (2024)

Torsion of elliptic curves with rational $j$-invariant over quartic number fields
par: Hamada, Lucas
Publié: (2024)

Serre's constant of elliptic curves over the rationals
par: Daniels, Harris B., et autres
Publié: (2018)

Ranks of elliptic curves in cyclic sextic extensions of $\mathbb{Q}$
par: Kisilevsky, Hershy, et autres
Publié: (2023)

On the torsion growth in quadratic number fields for elliptic curves defined over the rationals
par: Arias-de-Reyna, Sara, et autres
Publié: (2025)

Selmer stability for elliptic curves in Galois $\ell$-extensions
par: Pathak, Siddhi, et autres
Publié: (2025)

Degrees of isogenies over prime degree number fields of non-CM elliptic curves with rational $j$-invariant
par: Novak, Ivan
Publié: (2024)

Rank of the family of elliptic curves $y^2 = x^3- 5px$
par: Ghosh, Arkabrata
Publié: (2025)

The possible adelic indices for elliptic curves admitting a rational cyclic isogeny
par: Finnerty, Kate, et autres
Publié: (2025)

An elliptic curve over Q(u) with torsion Z/4Z and rank 6
par: Dujella, Andrej, et autres
Publié: (2022)

Completing the classification of torsion subgroups for rational elliptic curves over sextic fields
par: Adžaga, Nikola, et autres
Publié: (2026)

Equivalence of conjectures on heavenly elliptic curves
par: McLeman, Cam, et autres
Publié: (2025)

Entanglement of elliptic curves upon base extension
par: Day, Tori, et autres
Publié: (2024)

Counting rational points on smooth quartic and quintic surfaces
par: Andreaus, Lorenzo
Publié: (2025)

Non-vanishing for quartic Hecke $L$-functions and ranks of elliptic curves
par: Castillo, Cruz, et autres
Publié: (2026)

L-values of elliptic curves twisted by cubic characters
par: Angdinata, David Kurniadi
Publié: (2024)

Quantitative upper bounds related to an isogeny criterion for elliptic curves
par: Cojocaru, Alina Carmen, et autres
Publié: (2024)

Number of integral points on quadratic twists of elliptic curves
par: Choi, Seokhyun
Publié: (2025)

New isogenies of elliptic curves over number fields
par: Genao, Tyler
Publié: (2024)

Heavenly elliptic curves over quadratic fields
par: McLeman, Cam, et autres
Publié: (2024)

Effective bounds for adelic Galois representations attached to elliptic curves over the rationals
par: Furio, Lorenzo
Publié: (2024)

Computing with necklaces on elliptic curves
par: Rebolledo, Marusia, et autres
Publié: (2025)

Uniform bounds on the level of cyclotomic division fields of elliptic curves
par: Allen, Sam, et autres
Publié: (2025)

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

A positive density of elliptic curves are diophantine stable in certain Galois extensions
par: Ray, Anwesh, et autres
Publié: (2024)

Explicit surjectivity of Galois representations of products of elliptic curves over function fields
par: Cojocaru, Alina, et autres
Publié: (2025)

Counting rational points on elliptic and hyperelliptic curves over function fields
par: Gillibert, Jean, et autres
Publié: (2025)

On the unramified Iwasawa module of a $\mathbb{Z}_p$-extension generated by division points of a CM elliptic curve
par: Itoh, Tsuyoshi
Publié: (2020)

Torsion of elliptic curves with rational $j$-invariant over the maximal elementary abelian 2-extension of $\mathbb{Q}$
par: Hamada, Lucas
Publié: (2024)

Growth of torsion groups of elliptic curves upon base change from number fields
par: Genao, Tyler
Publié: (2022)

On factorizations of certain Kummer characters associated to once-punctured elliptic curves with complex multiplication
par: Ishii, Shun, et autres
Publié: (2024)

Deep hole lattices and isogenies of elliptic curves
par: Fukshansky, Lenny, et autres
Publié: (2023)

Larsen's conjecture for elliptic curves over $\mathbb{Q}$ with analytic rank at most $1$
par: Choi, Seokhyun, et autres
Publié: (2025)

Quadratic twists of tiling number elliptic curves
par: Feng, Keqin, et autres
Publié: (2024)

Galois cohomology of elliptic curves over anticyclotomic extensions
par: Nguyen, Dac-Nhan-Tam, et autres
Publié: (2025)

On the family of elliptic curves $y^2=x^3-m^2x + (pqr)^2$
par: Ghosh, Arkabrata
Publié: (2024)

Rank distribution in cubic twist families of elliptic curves
par: Ray, Anwesh, et autres
Publié: (2024)

Kolyvagin systems of rank 0 and the structure of the Selmer group of elliptic curves over abelian extensions
par: Angurel, Alberto
Publié: (2025)

An analogue of Kida's formula for elliptic curves with additive reduction
par: Ray, Anwesh, et autres
Publié: (2024)