Cover Image

Lower Order Biases in Moment Expansions of One Parameter Families of Elliptic Curves

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Cheek, Timothy, Gilman, Pico, Jaber, Kareem, Miller, Steven J., Sharan, Vismay, Tomé, Marie-Hélène
Format:	Preprint
Published:	2024
Subjects:	Number Theory Algebraic Geometry 11G05, 11G40
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Applications of Moments of Dirichlet Coefficients in Elliptic Curve Families
by: Batterman, Zoë, et al.
Published: (2023)

On the Density of Low Lying Zeros of a Large Family of Automorphic $L$-functions
by: Cheek, Timothy, et al.
Published: (2024)

Explicit Uniform Lower Bounds for the Canonical Height on Elliptic Curves over Abelian Extensions
by: Jenvrin, Jonathan
Published: (2025)

On the Minimality of the Conductor in Rank Bounds for Elliptic Curves
by: Lakshmanan, K.
Published: (2025)

On the Family of Elliptic Curves $y^2=x^3-5pqx$
by: Ghosh, Arkabrata
Published: (2025)

A Diophantine Criterion for the Shafarevich-Tate Groups of Elliptic Curves from Heron Triangles
by: Ghale, Vinodkumar
Published: (2023)

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

The Smallest Invariant Factor of Elliptic Curves, and Coincidences
by: Milner, Alexander, et al.
Published: (2026)

On the Constants of the Lang-Trotter Conjecture for CM Elliptic Curves
by: Ray, Anish
Published: (2023)

A Lehmer-Type Lower Bound for the Canonical Height on Elliptic Curves Over Function Fields
by: Silverman, Joseph H.
Published: (2024)

Opposing Average Congruence Class Biases in the Cyclicity and Koblitz Conjectures for Elliptic Curves
by: Lee, Sung Min, et al.
Published: (2024)

The Classification of Supersingular Elliptic Curves in Characteristic 3
by: Orlov, Alexey
Published: (2026)

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

Elliptic Curves with positive rank and no integral points
by: Agathocleous, Eleni
Published: (2023)

$L$-Functions of Elliptic Curves Modulo Integers
by: Boudreau, Félix Baril
Published: (2021)

New Algebraic Points on Curves
by: Khawaja, Maleeha, et al.
Published: (2025)

Isogenies of CM Elliptic Curves
by: Assing, Edgar, et al.
Published: (2025)

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

On Twists of A Family of Elliptic Curves and Their $ L-$Function
by: Qiu, Derong
Published: (2015)

Additive Rigidity for $x$-Coordinates of Rational Points on Elliptic Curves
by: Choi, Seokhyun
Published: (2025)

On periods of Elliptic curves
by: Salaza, Daniel Barrera, et al.
Published: (2026)

Torsion of Rational Elliptic Curves over the $\mathbb{Z}_p$-Extensions of Quadratic Fields
by: Avci, Omer
Published: (2025)

Some Obstructions to Solvable Points on Higher Genus Curves
by: Rawson, James
Published: (2022)

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

Inertial Types of Elliptic Curves Over $\mathbb{Q}_{p^{2}}$
by: Castro-Moreno, Jose, 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)

On the Distribution of 2-Selmer ranks of Quadratic Twists of Elliptic Curves over $\mathbb{Q}$
by: Pan, Jinzhao, et al.
Published: (2025)

A New Aspect of Chebyshev's Bias for Elliptic Curves over Function Fields
by: Kaneko, Ikuya, et al.
Published: (2022)

Shimura curve Atkin--Lehner quotients of genus at most two
by: Padurariu, Oana, et al.
Published: (2025)

Point counts, automorphisms, and gonalities of Shimura curves
by: Mercuri, Pietro, et al.
Published: (2025)

Algebraic cycles and values of Green's functions I- Products of Elliptic Curves
by: Sreekantan, Ramesh
Published: (2025)

Nondegeneracy and Sato-Tate Distributions of Two Families of Jacobian Varieties
by: Emory, Melissa, et al.
Published: (2024)

Torsion of Rational Elliptic Curves over the Cyclotomic Extensions of $\mathbb{Q}$
by: Avci, Omer
Published: (2024)

Average analytic ranks of elliptic curves over number fields
by: Phillips, Tristan
Published: (2022)

Elliptic curves with rank one and nontrivial 2-part of Tate Shafarevich groups over the $\mathbb{Z}_2$-extension of $\mathbb{Q}$
by: Deng, Li-Tong, et al.
Published: (2026)

L-functions and rational points for Galois twists of modular curves
by: Studnia, Elie
Published: (2025)

Cyclic Cubic Points on Higher Genus Curves
by: Rawson, James
Published: (2024)

Algorithms for Modular Parametrizations of Elliptic Curves over $\mathbb{Q}$
by: Wang, SanMin
Published: (2025)

Elliptic curves over Hasse pairs
by: Agathocleous, Eleni, et al.
Published: (2024)

Irreducibility of the Cuboid Polynomial $P_{a,u}(t)$ via a Rank-Zero Elliptic Curve
by: Asiryan, Valery
Published: (2025)