Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings
type: Item
instance of: scholarly article
title: Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings
author: Nikola Adžaga
author: Shiva Chidambaram
author: Timo Keller
author: Oana Padurariu
published in: Research in Number Theory
publication date: 2022-10-27T00:00:00Z
full work available at URL: https://arxiv.org/abs/2203.05541
Mathematics Subject Classification ID: 14G05
Mathematics Subject Classification ID: 14G35
Mathematics Subject Classification ID: 11G30
Mathematics Subject Classification ID: 11G05
zbMATH DE Number: 7608400
describes a project that uses: LMFDB
describes a project that uses: Coleman
describes a project that uses: Magma
describes a project that uses: SageMath
describes a project that uses: GitHub
MaRDI profile type: Publication
OpenAlex ID: W4304698166
cites work: The vectorization of ITPACK 2C
cites work: Rational points on \(X^{+}_0(37M)\)
cites work: Two Recent p-adic Approaches Towards the (Effective) Mordell Conjecture
cites work: Explicit Coleman Integration for Hyperelliptic Curves
cites work: The Magma algebra system. I: The user language
cites work: Quadratic Chabauty and rational points. I: \(p\)-adic heights
cites work: Explicit Chabauty-Kim for the split Cartan modular curve of level 13
cites work: Towers of 2-covers of hyperelliptic curves
cites work: Hyperelliptic parametrizations of \(\pmb{\mathbb{Q}}\)-curves
cites work: Quadratic Chabauty for (bi)elliptic curves and Kim's conjecture
cites work: Quadratic points on modular curves with infinite Mordell–Weil group
cites work: Chabauty methods using elliptic curves
cites work: Two-cover descent on hyperelliptic curves
cites work: The Mordell–Weil sieve: proving non-existence of rational points on curves
cites work: Explicit Coleman integration for curves
cites work: Q3972987
cites work: Torsion points on curves and p-adic abelian integrals
cites work: Computing Special Values of MotivicL-Functions
cites work: Q4672838
cites work: Q4672839
cites work: On the modularity of \(\mathbb Q\)-curves
cites work: Rational Points on XO+(p)
cites work: Rational points on \(X^ +_ 0(N)\) and quadratic \(\mathbb Q\)-curves.
cites work: Rational and elliptic parametrizations of \(\mathbb Q\)-curves
cites work: Heegner points and derivatives of \(L\)-series
cites work: Hyperelliptic modular curves $X*_0(N)$
cites work: Modularity conjecture for \(\mathbf Q\)-curves and QM-curves.
cites work: On the number of Q-isomorphism classes of elliptic curves in each Q- isogeny class
cites work: Serre's conjecture and its consequences
cites work: Q3351513
cites work: The \(\ell\)-component of the unipotent Albanese map
cites work: Serre's modularity conjecture. II
cites work: Q4312295
cites work: Modèles entiers des courbes hyperelliptiques sur un corps de valuation discrète
cites work: Modular curves and the Eisenstein ideal
cites work: Q3741712
cites work: Rational points on the modular curves \(X^ +_ 0(N)\)
cites work: Q4981689
cites work: Q4316835
cites work: The complete classification of fibres in pencils of curves of genus two
cites work: Abelian varieties over Q and modular forms
cites work: Independence of rational points on twists of a given curve
cites work: Finite descent obstructions and rational points on curves
cites work: Rational 6-Cycles Under Iteration of Quadratic Polynomials
DOI: 10.1007/S40993-022-00388-9
Recommended article: Rational points on Atkin-Lehner quotients of geometrically hyperelliptic Shimura curves
Recommended article: Rational points on Atkin-Lehner quotients of Shimura curves of discriminant \(p q\)
Recommended article: On the rationality of moduli spaces of pointed hyperelliptic curves
Recommended article: Rational points on modular curves and abelian varieties.
Recommended article: Proving the triviality of rational points on Atkin-Lehner quotients of Shimura curves
Recommended article: Rational Points on Certain Hyperelliptic Curves over Finite Fields
Recommended article: Q4449109
Recommended article: Q5371211
Recommended article: On Atkin-Lehner Quotients of Curves
Recommended article: THE RATIONALITY OF MODULI SPACES OF HYPERELLIPTIC CURVES
description: scientific article; zbMATH DE number 7608400