Bielliptic quotient curves of X0(N)
Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Kamel, Mohamed (Cairo University. Department of Mathematics)
Schweizer, Andreas (Kongju National University. Department of Mathematics Education (South Korea))

Data:	2023
Resum:	Let N ≥ 1 be a non-square free integer and let WN be a nontrivial subgroup of the group of the Atkin-Lehner involutions of X0(N) such that the modular curve X0(N)=WN has genus at least two. We determine all pairs (N;WN) such that X0(N)=WN is a bielliptic curve and the pairs (N;WN) such that X0(N)=WN has an innite number of quadratic points over Q.
Ajuts:	Agencia Estatal de Investigación PID2020-116542GB-I00
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Matèria:	Modular curve ; Atkin-Lehner involution ; Bielliptic curve ; Quadratic points
Publicat a:	Mathematics of Computation, Vol. 92, Issue 340 (2023) , p. 895-929, ISSN 1088-6842

DOI: 10.1090/mcom/3800

Postprint 36 p, 630.5 KB

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