What is Mordell-Weil lattice?
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4$\begingroup$ It is Mordell-Weil group equipped with Néron-Tate pairing (see Silverman's book for the definition of these objects). $\endgroup$– François BrunaultCommented Jun 25, 2010 at 11:26
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1$\begingroup$ I have voted to close: FB's comment is the correct answer. No need for others to get involved. $\endgroup$– Pete L. ClarkCommented Jun 25, 2010 at 20:12
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3$\begingroup$ Almost correct: it's the quotient of the MW group by the torsion group, equipped with the Néron-Tate pairing. $\endgroup$– Noam D. ElkiesCommented Apr 27, 2012 at 18:53
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$\begingroup$ Hm, even that's not quite right for a constant curve with non-torsion points... So form the quotient by the subgroup of points of height zero (which contains the torsion group). $\endgroup$– Noam D. ElkiesCommented Apr 28, 2012 at 2:54
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1 Answer
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[T Shioda ：Mordell-Weil lattice][1]
[1]: http://www.rkmath.rikkyo.ac.jp/math/shioda/papers/mwl.pdf more Basic，you also see the homepage of Chao Li about Elliptic Surfaces and Mordell-Weil Lattices in harvard university。
