Triviality of \(X_{\text{split}}(N)(\mathbb Q)\) for certain congruence classes of \(N\)

DOI10.1016/S1631-073X(03)00078-5zbMath1040.11045MaRDI QIDQ1408091

Pierre Parent

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

rational pointsmodular curveexplicit congruences

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (1)

Equidistribution of Heegner points and ternary quadratic forms

Cites Work

• A rigid analytic Gross-Zagier formula and arithmetic applications. (With an appendix by B. Edixhoven)
• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• Uniform distribution of Heegner points.
• Sur la nature non-cyclotomique des points d'ordre fini des courbes elliptiques. (On the noncyclotomic nature of finite-order points of elliptic curves). With an appendix by E. Kowalski and P. Michel
• Bounds for the torsion of elliptic curves over number fields
• Galois properties of points of finite order of elliptic curves
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