Abstract
This note contains examples of elliptic curves with maximal possible number of rational points over a finite field Fq. More precisely this is done for every q = p n with p ≤ 19 a prime number and 1 < n ≤ 5 and also for all q = p ≤ 97 a prime number. The examples were computed using the computer algebra package Maple and the free mathematics software system Sage.