Abstract
In this chapter we will prove Mordell’s theorem that the group of rational points on a non-singular cubic is finitely generated. There is a tool used in the proof called the height. In brief, the height of a rational point measures how complicated the point is from the viewpoint of number theory.
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© 1992 Springer Science+Business Media New York
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Silverman, J.H., Tate, J. (1992). The Group of Rational Points. In: Rational Points on Elliptic Curves. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4252-7_4
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DOI: https://doi.org/10.1007/978-1-4757-4252-7_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3101-6
Online ISBN: 978-1-4757-4252-7
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