FAMILIES OF ELLIPTIC CURVES OF RANK >= 5 OVER Q(t)

Moody, D; Sadek, M; Zargar, AS

Moody, D (reprint author), NIST, Comp Secur Div, 100 Bur Dr, Gaithersburg, MD 20899 USA.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2019; 49 (7): 2253

Abstract

We construct two infinite families of curves with high rank. The first is defined by the equation y(2) = x (x - a(2)) (x - b(2)) + a(2)b(2), where a, ......

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