Ranks of several elliptic curves y2 = x3 ∓ 3px

Abstract

Let E∓3p be elliptic curves y 2 = x ∓ 3px with prime p then, we will compute the ranks of it and compare the results with that of in curve E2pq: y 2 = x + 2pqx . Mathematics Subject Classification: 11G05, 11A41