Author:
Khazali Mehrdad,Daghigh Hassan
Abstract
In this paper we show that for any two primes p and q greater than 5, theelliptic curve E(p,q) : y2 = x3 − p2x + q2 has rank at least 2. We will also provide twoindependent points on E(p,q). Then we will show that, conjecturally, the family {E(p,q)}contains an infinite subfamily of rank three elliptic curves.
Cited by
1 articles.
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