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21 p, 511.5 KB Bielliptic quotient modular curves with N square-free / Bars Cortina, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; González Rovira, Josep (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Kamel, Mohamed (Cairo University. Department of Mathematics (Egypt))
Let N ≥ 1 be an square free integer and let WN be a non-trivial 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 infinite number of quadratic points over Q.
2020 - 10.1016/j.jnt.2020.03.010
Journal of Number Theory, Vol. 216 (November 2020) , p. 380-402  
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