On some congruence properties of elliptic curves

DOI10.1007/S00013-009-0100-XzbMath1189.14038arXiv0803.2809OpenAlexW3100537502MaRDI QIDQ2267733

Derong Qiu

Publication date: 2 March 2010

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.2809

zbMATH Keywords

elliptic curvecongruence propertysupersingular prime

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52)

Cites Work

• On the elliptic curves modulo \(p\)
• Thue equations and torsion groups of elliptic curves
• Miscellany on traces in \(\ell\)-adic cohomology: a survey
• Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. II
• The existence of infinitely many supersingular primes for every elliptic curve over \(\mathbb Q\).
• Galois properties of torsion points on abelian varieties
• Elliptic curves with a rational point of finite order
• Frobenius distributions in \(\mathrm{GL}_2\)-extensions. Distribution of Frobenius automorphisms in \(\mathrm{GL}_2\)-extensions of the rational numbers
• Modular curves and the Eisenstein ideal
• The Arithmetic of Elliptic Curves

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