A family of elliptic curves of rank >= 5 over Q(m)

Zargar, AS; Zamani, N

Zargar, AS (reprint author), Univ Mohaghegh Ardabili, Dept Math & Applicat, Fac Sci, Ardebil 5619911367, Iran.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2019; 25 (4): 24

Abstract

We construct a subfamily of elliptic curves E (r, s) : (y - s)(y + s) = x(x - r)(x + r) with r = 2(m(4) - 2m(3) + 2m(2) + 2m + 1), s = 2(m(2) - 2m - 1......

Full Text Link