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What is Mordell-Weil lattice?

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It is Mordell-Weil group equipped with Néron-Tate pairing (see Silverman's book for the definition of these objects). – François Brunault Jun 25 '10 at 11:26
I have voted to close: FB's comment is the correct answer. No need for others to get involved. – Pete L. Clark Jun 25 '10 at 20:12
Almost correct: it's the quotient of the MW group by the torsion group, equipped with the Néron-Tate pairing. – Noam D. Elkies Apr 27 '12 at 18:53
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). – Noam D. Elkies Apr 28 '12 at 2:54

[T Shioda :Mordell-Weil lattice][1]

[1]: more Basic,you also see the homepage of Chao Li about Elliptic Surfaces and Mordell-Weil Lattices in harvard university。

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