Heights and Elliptic Curves

Joseph H. Silverman

Chapter Chapter X in Arithmetic Geometry, 1986, pp 253-265 from Springer

Abstract: Abstract Many of the deep results involving heights of abelian varieties become quite transparent in the case of elliptic curves. In this chapter we propose to prove some of these theorems for elliptic curves by using explicit Weierstrass equations. We will also point out how the height of an elliptic curve appears in various other contexts in arithmetical geometry.

Keywords: Elliptic Curve; Elliptic Curf; Abelian Variety; Number Field; Weierstrass Equation (search for similar items in EconPapers)
Date: 1986
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DOI: 10.1007/978-1-4613-8655-1_10

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