Generators for the elliptic curve
Yasutsugu Fujita, Nobuhiro Terai (2011)
Journal de Théorie des Nombres de Bordeaux
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Let be an elliptic curve given by with a positive integer . Duquesne in 2007 showed that if is square-free with an integer , then certain two rational points of infinite order can always be in a system of generators for the Mordell-Weil group of . In this paper, we generalize this result and show that the same is true for infinitely many binary forms in .