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Heights and Elliptic Curves

In: Arithmetic Geometry

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  • Joseph H. Silverman

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.

Suggested Citation

  • Joseph H. Silverman, 1986. "Heights and Elliptic Curves," Springer Books, in: Gary Cornell & Joseph H. Silverman (ed.), Arithmetic Geometry, chapter 0, pages 253-265, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-8655-1_10
    DOI: 10.1007/978-1-4613-8655-1_10
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