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On group orders of rational points of elliptic curves

✍ Scribed by Weng, Annegret


Book ID
118173807
Publisher
Taylor and Francis Group
Year
2002
Tongue
English
Weight
262 KB
Volume
25
Category
Article
ISSN
1607-3606

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Let E be an elliptic curve defined over Q and without complex multiplication. For a prime p of good reduction, let % E E be the reduction of E modulo p: Assuming that certain Dedekind zeta functions have no zeros in ReðsÞ > 3=4; we determine how often % E EðF p Þ is a cyclic group. This result was p