Small exponent point groups on elliptic curves

DOI10.5802/jtnb.554zbMath1161.11357OpenAlexW2316897433MaRDI QIDQ873842

Igor E. Shparlinski, James McKee, Florian Luca

Publication date: 20 March 2007

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2006__18_2_471_0

Mathematics Subject Classification ID

Curves over finite and local fields (11G20)

Related Items (2)

On the exponent of the group of points of an elliptic curve over a finite field ⋮ ON CURVES OVER FINITE FIELDS WITH JACOBIANS OF SMALL EXPONENT

Cites Work

• On distinguishing prime numbers from composite numbers
• Cyclicity of elliptic curves modulo \(p\) and elliptic curve analogues of Linnik's problem
• A bound for the least prime ideal in the Chebotarev density theorem
• Cyclicity statistics for elliptic curves over finite fields
• Almost all reductions modulo \(p\) of an elliptic curve have a large exponent.
• An upper bound for the g.c.d. of \(a^n-1\) and \(b^n -1\)
• On the cyclicity of elliptic curves over finite field extensions
• On the cyclicity of the group of \({\mathbb F}_p\)-rational points of non-CM elliptic curves
• Carmichael's lambda function
• Cyclicity of CM elliptic curves modulo 𝑝
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