Almost all reductions modulo \(p\) of an elliptic curve have a large exponent.

DOI10.1016/j.crma.2003.10.006zbMath1048.11045OpenAlexW2048154704MaRDI QIDQ1420163

William Duke

Publication date: 28 January 2004

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

Full work available at URL: https://doi.org/10.1016/j.crma.2003.10.006

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Related Items (9)

Bounded gaps between primes with a given primitive root. II ⋮ Small exponent point groups on elliptic curves ⋮ The average exponent of elliptic curves modulo \(p\) ⋮ The distribution and growth of the elementary divisors of the reductions of an elliptic curve over a function field ⋮ A Titchmarsh divisor problem for elliptic curves ⋮ Primes, elliptic curves and cyclic groups ⋮ On the exponent of the group of points of an elliptic curve over a finite field ⋮ A GEOMETRIC VARIANT OF TITCHMARSH DIVISOR PROBLEM ⋮ ON CURVES OVER FINITE FIELDS WITH JACOBIANS OF SMALL EXPONENT

Cites Work

• Unnamed Item
• Quelques applications du théorème de densité de Chebotarev
• On Siegel zeros of Hecke-Landau zeta-functions
• Galois properties of points of finite order of elliptic curves
• The Splitting of Primes in Division Fields of Elliptic Curves

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