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Infinitely many cubic points for $X_0^+(N)$ over $\mathbb Q$

Volume 206 / 2022

Francesc Bars, Tarun Dalal Acta Arithmetica 206 (2022), 373-388 MSC: Primary 11G18; Secondary 11G30, 14G05, 14H10, 14H25. DOI: 10.4064/aa220714-10-11 Published online: 16 December 2022

Abstract

We determine all modular curves $X_0^+(N)$ that admit infinitely many cubic points over the rational field $\mathbb {Q}$.

Authors

  • Francesc BarsDepartament Matemàtiques, Edif. C
    Universitat Autònoma de Barcelona
    08193 Bellaterra, Catalonia
    e-mail
  • Tarun DalalDepartment of Mathematics
    Indian Institute of Technology Hyderabad
    Kandi, Sangareddy 502285, India
    e-mail

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