Quadratic points on non-split Cartan modular curves
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Publication:5061560
DOI10.1142/S1793042122500178zbMath1497.11153arXiv2011.00590MaRDI QIDQ5061560
Publication date: 14 March 2022
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.00590
Rational points (14G05) Elliptic curves over global fields (11G05) Arithmetic aspects of modular and Shimura varieties (11G18)
Related Items (3)
Fermat’s Last Theorem and modular curves over real quadratic fields ⋮ Modular curves with many points over finite fields ⋮ Computing quadratic points on modular curves 𝑋₀(𝑁)
Uses Software
Cites Work
- Unnamed Item
- The automorphism group of the non-split Cartan modular curve of level 11
- Normalizers of non-split Cartan subgroups, modular curves, and the class number one problem
- An exceptional isomorphism between modular curves of level 13
- Endomorphisms of Jacobians of modular curves
- Chabauty for symmetric powers of curves
- The Magma algebra system. I: The user language
- Double covers of Cartan modular curves
- Torsion points on elliptic curves and \(q\)-coefficients of modular forms
- Explicit Chabauty-Kim for the split Cartan modular curve of level 13
- Elliptic curves over real quadratic fields are modular
- On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
- GENERALIZED EXPLICIT DESCENT AND ITS APPLICATION TO CURVES OF GENUS 3
- Hyperelliptic modular curves and isogenies of elliptic curves over quadratic fields
- ON THE AUTOMORPHISMS OF THE NONSPLIT CARTAN MODULAR CURVES OF PRIME LEVEL
- The Mordell–Weil sieve: proving non-existence of rational points on curves
- Bielliptic Curves and Symmetric Products
- The Jacobians of Non-Split Cartan Modular Curves
- Modular forms invariant under non-split Cartan subgroups
- Quadratic points on modular curves with infinite Mordell–Weil group
- Quadratic points on modular curves
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