Cover Image

Rank distribution in cubic twist families of elliptic curves

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ray, Anwesh, Shingavekar, Pratiksha
Format:	Preprint
Published:	2024
Subjects:	Number Theory Algebraic Geometry 11G05, 11R45, 11R34
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A positive density of elliptic curves are diophantine stable in certain Galois extensions
by: Ray, Anwesh, et al.
Published: (2024)

Statistics for 3-isogeny induced Selmer groups of elliptic curves
by: Shingavekar, Pratiksha
Published: (2024)

An analogue of Kida's formula for elliptic curves with additive reduction
by: Ray, Anwesh, et al.
Published: (2024)

Iwasawa theory and ranks of elliptic curves in quadratic twist families
by: Hatley, Jeffrey, et al.
Published: (2024)

Class group statistics for torsion fields generated by elliptic curves
by: Ray, Anwesh, et al.
Published: (2022)

Statistics for Iwasawa invariants of elliptic curves, $\rm{III}$
by: Ray, Anwesh
Published: (2024)

Rank stability of elliptic curves in certain non-abelian extensions
by: Pathak, Siddhi, et al.
Published: (2024)

Diophantine stability for elliptic curves on average
by: Ray, Anwesh, et al.
Published: (2023)

A Heuristic approach to the Iwasawa theory of elliptic curves
by: Müller, Katharina, et al.
Published: (2024)

Selmer stability for elliptic curves in Galois $\ell$-extensions
by: Pathak, Siddhi, et al.
Published: (2025)

Counting elliptic curves with prescribed entanglements
by: Couvillon, Zachary, et al.
Published: (2025)

Rank Jumps and Growth of Shafarevich--Tate Groups for Elliptic Curves in $\mathbb{Z}/p\mathbb{Z}$-Extensions
by: Beneish, Lea, et al.
Published: (2021)

Galois representations are surjective for almost all Drinfeld modules
by: Ray, Anwesh
Published: (2024)

The $T$-adic Galois representation is surjective for a positive density of Drinfeld modules
by: Ray, Anwesh
Published: (2023)

$3$-Selmer group, ideal class groups and cube sum problem
by: Jha, Somnath, et al.
Published: (2022)

On anticyclotomic Selmer groups of elliptic curves
by: Longo, Matteo, et al.
Published: (2025)

On the $μ$-invariants of residually reducible Galois representations
by: Ray, Anwesh, et al.
Published: (2021)

On the average $2$-torsion in class groups and narrow class groups of cubic orders with prescribed shape
by: Ray, Anwesh
Published: (2026)

Iwasawa theory of fine Selmer groups associated to Drinfeld modules
by: Ray, Anwesh
Published: (2023)

Statistics for Anticyclotomic Iwasawa Invariants of Elliptic Curves
by: Hatley, Jeffrey, et al.
Published: (2021)

Distribution questions for isogeny graphs over finite fields
by: Ray, Anwesh
Published: (2025)

Selmer stability in families of congruent Galois representations
by: Ray, Anwesh
Published: (2025)

On rational points on classifying stacks and Malle's conjecture
by: Akhtari, Shabnam, et al.
Published: (2024)

Galois cohomology of elliptic curves over anticyclotomic extensions
by: Nguyen, Dac-Nhan-Tam, et al.
Published: (2025)

On the distribution of shapes of octic Kummer extensions
by: Jakhar, Anuj, et al.
Published: (2026)

On the distribution of shapes of totally real multiquadratic number fields
by: Jakhar, Anuj, et al.
Published: (2026)

Congruent elliptic curves over some $p$-adic Lie extensions
by: Nguyen, Dac-Nhan-Tam, et al.
Published: (2025)

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

Non-vanishing for quartic Hecke $L$-functions and ranks of elliptic curves
by: Castillo, Cruz, et al.
Published: (2026)

Ideal class groups of division fields of elliptic curves and everywhere unramified rational points
by: Dainobu, Naoto
Published: (2023)

On $p$-adic $L$-functions of elliptic curves and the ideal class groups of the division fields
by: Dainobu, Naoto
Published: (2024)

Lower bounds for the number of number fields with Galois group $GL_2(\mathbb{F}_\ell)$
by: Ray, Anwesh
Published: (2023)

Hilbert's tenth problem for families of $ \mathbb{Z}_p $-extensions of imaginary quadratic fields
by: Müller, Katharina, et al.
Published: (2024)

Mazur's growth number conjecture and congruences
by: Ray, Anwesh
Published: (2025)

Higher modularity of elliptic curves over function fields
by: Logan, Adam, et al.
Published: (2022)

The average number of integral points on the congruent number curves
by: Chan, Stephanie
Published: (2021)

Cyclicity and exponent of elliptic curves modulo $p$ in arithmetic progressions
by: Wong, Peng-Jie
Published: (2023)

On Malle's conjecture for the product of symmetric and nilpotent groups
by: Mishra, Hrishabh, et al.
Published: (2024)

Descent properties for an abelian variety with extended Galois representation
by: Felder, Ludovic
Published: (2026)

On the Iwasawa invariants of Artin representations
by: Karnataki, Aditya, et al.
Published: (2023)