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Lacking a full exposition of the computations described in "The Behavior of the Mordell-Weil Group of Elliptic Curves", we give here various odds and ends, mostly unpublished, which describe pieces used.

- "Positive Rank Examples of the Conjecture of Birch and Swinnerton-Dyer" by McGuinness,
TeX version,
DVI version.
This 1989 unpublished manuscript determines (using an argument of Ogg)
the 9 examples of the genus 1 curves of the form
*X*,_{0}(p)/w*p*a prime, and calculates the quantities appearing in the conjecture of Birch and Swinnerton-Dyer for these curves. The same calculations are carried out for the first rank 2 elliptic curve, which has conductor 389. It is incomplete; the appendixes outlining the period, height, and L-series calculations were not detailed. - Slides for a talk given by McGuinness at Rutgers May 11, 1990 are here. (These are mostly TeX-ed versions of those used by Brumer at MSRI.)
- "The Archimedean Component of the Canonical Height on Elliptic Curves", by Brumer and McGuinness,
TeX version,
DVI version, examines the question of where on
*E(*does the archimedean component of the height attain its minimum. The answer depends on the sign of the discriminant, i.e., on the number of components of**R**)*E(*. This question was also examined, and answered, in a more general context by Shou-wu Zhang. This is a convenient place to read about the archimedean height. This 1990 manuscript was not finished, or published.**R**)

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