Hyperelliptic parametrizations of $$\pmb {\mathbb {Q}}$$-curves

Francesc Bars, Josep González, Xavier Xarles

Type: Article

Publication Date: 2020-07-24

Citations: 9

DOI: https://doi.org/10.1007/s11139-020-00281-y

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The Ramanujan Journal - View
arXiv (Cornell University) - View - PDF
Dipòsit Digital de Documents de la UAB (Universitat Autònoma de Barcelona) - View - PDF
UPCommons institutional repository (Universitat Politècnica de Catalunya) - View - PDF

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Works That Cite This (9)

Action	Title	Year	Authors
+	Computing quadratic points on modular curves 𝑋₀(𝑁)	2023	Nikola Adžaga Timo Keller Philippe Michaud‐Jacobs Filip Najman Ekin Özman Borna Vukorepa
+ PDF Chat	Rational points on Atkin–Lehner quotients of geometrically hyperelliptic Shimura curves	2023	Oana Padurariu Ciaran Schembri
+ PDF Chat	Quadratic Chabauty for Atkin–Lehner quotients of modular curves of prime level and genus 4, 5, 6	2023	Nikola Adžaga Vishal Arul Lea Beneish Mingjie Chen Shiva Chidambaram Timo Keller Boya Wen
+ PDF Chat	Quadratic Chabauty for modular curves: algorithms and examples	2023	Jennifer S. Balakrishnan Netan Dogra J. Steffen Müller Jan Tuitman Jan Vonk
+ PDF Chat	Rational points on hyperelliptic Atkin-Lehner quotients of modular curves and their coverings	2022	Nikola Adžaga Shiva Chidambaram Timo Keller Oana Padurariu
+	The automorphism group of the modular curve $X_0^*(N)$ with square-free level	2020	Francesc Bars Josep González
+	Rational points on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e20" altimg="si3.svg"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup><mml:mrow><mml:mo>(</mml:mo><mml:mn>125</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>	2023	Vishal Arul J. Steffen Müller
+	Quadratic Chabauty and 𝑝-adic Gross–Zagier	2022	Sachi Hashimoto
+ PDF Chat	Rational points on rank 2 genus 2 bielliptic curves in the LMFDB	2024	Francesca Bianchi Oana Padurariu

Works Cited by This (12)

Action	Title	Year	Authors
+ PDF Chat	Hyperelliptic modular curves $X*_0(N)$	1997	Yuji Hasegawa
+	Automorphisms of $X_0^*(p)$	2002	Matthew Baker Yuji Hasegawa
+ PDF Chat	Automorphisms of 𝐺𝐿_{𝑛}(𝑅)	1976	Bernard R. McDonald
+	The Magma Algebra System I: The User Language	1997	Wieb Bosma John Cannon Catherine Playoust
+	Automorphisms of X0∗(p)	2003	Matthew Baker Yuji Hasegawa
+	Rational and Elliptic Parametrizations ofQ-Curves	1998	Josep González Joan-C. Lario
+ PDF Chat	Two-cover descent on hyperelliptic curves	2009	Nils Bruin Michael Stoll
+ PDF Chat	Hyperelliptic modular curves	1974	A. P. Ogg
+	Binary Quadratic Forms	1989	Duncan A. Buell
+ PDF Chat	Bielliptic modular curves $X_0^*(N)$ with square-free levels	2019	Francesc Bars Josep González