Cover Image

Rational points on modular curves via maps to elliptic curves with rank zero

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Mayle, Jacob, Rouse, Jeremy
Format:	Preprint
Published:	2026
Subjects:	Number Theory Primary 11G18, 11F80, Secondary 11G05, 14G05
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A uniform bound on the smallest surjective prime of an elliptic curve
by: Genao, Tyler, et al.
Published: (2025)

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

Completing the classification of torsion subgroups for rational elliptic curves over sextic fields
by: Adžaga, Nikola, et al.
Published: (2026)

An effective open image theorem for products of principally polarized abelian varieties
by: Mayle, Jacob, et al.
Published: (2022)

On the effective version of Serre's open image theorem
by: Mayle, Jacob, et al.
Published: (2021)

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

Entanglement of elliptic curves upon base extension
by: Day, Tori, et al.
Published: (2024)

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

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

The possible adelic indices for elliptic curves admitting a rational cyclic isogeny
by: Finnerty, Kate, et al.
Published: (2025)

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

Open image computations for elliptic curves over number fields
by: Zywina, David
Published: (2024)

Explicit open images for elliptic curves over $\mathbb{Q}$
by: Zywina, David
Published: (2022)

Unbounded average Selmer ranks of elliptic curves in torsion families
by: Phillips, Tristan
Published: (2025)

Improved bounds for integral points on modular curves using Runge's method
by: Zywina, David
Published: (2024)

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

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

Infinitely many elliptic curves over $\mathbb{Q}(i)$ with rank 2 and $j$-invariant 1728
by: Savoie, Ben
Published: (2025)

Torsion of rank-two $A$-motives values in odd characteristic cyclotomic towers
by: Okumura, Yoshiaki
Published: (2025)

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

Patterns on elliptic curves beyond Bremner's conjecture
by: Garcia-Fritz, Natalia, et al.
Published: (2026)

Murmurations for elliptic curves ordered by height
by: Sawin, Will, et al.
Published: (2025)

The stacky Batyrev-Manin conjecture and modular curves
by: Darda, Ratko, et al.
Published: (2026)

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

Minimal Subgroups of ${\rm GL}_2(\mathbb{Z}_{S})$
by: Daniels, Harris, et al.
Published: (2024)

On the local-global principle for twists of abelian varieties
by: Coppola, Nirvana, et al.
Published: (2026)

Coincidences of Division Fields of an elliptic curve defined over a number field
by: Yvon, Zoé
Published: (2024)

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

Serre's constant of elliptic curves over the rationals
by: Daniels, Harris B., et al.
Published: (2018)

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

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

Explicit lower bounds on the conductors of elliptic curves and abelian varieties over number fields
by: Pierre, Tchamitchian
Published: (2024)

Towards a classification of entanglements of Galois representations attached to elliptic curves
by: Daniels, Harris B., et al.
Published: (2021)

On 7-adic Galois representations for elliptic curves over $\mathbb{Q}$
by: Furio, Lorenzo, et al.
Published: (2025)

Quadratic twists of tiling number elliptic curves
by: Feng, Keqin, et al.
Published: (2024)

$L$-functions of elliptic curves in ring class extensions of real quadratic fields via regularized theta liftings
by: Van Order, Jeanine
Published: (2025)

Parity of ranks of Jacobians of curves
by: Dokchitser, Vladimir, et al.
Published: (2022)

Affine Chabauty II
by: Leonhardt, Marius, et al.
Published: (2026)

Affine Chabauty I
by: Leonhardt, Marius, et al.
Published: (2025)

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