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.
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Silverman, J.H. (1986). Heights and Elliptic Curves. In: Cornell, G., Silverman, J.H. (eds) Arithmetic Geometry. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8655-1_10
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DOI: https://doi.org/10.1007/978-1-4613-8655-1_10
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