Mordell–Weil Groups and the Rank of Elliptic Curves over Large Fields
2006 ◽
Vol 58
(4)
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pp. 796-819
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AbstractLet K be a number field, an algebraic closure of K and E/K an elliptic curve defined over K. In this paper, we prove that if E/K has a K-rational point P such that 2P ≠ O and 3P ≠ O, then for each σ ∈ Gal(/K), the Mordell–Weil group of E over the fixed subfield of under σ has infinite rank.
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2010 ◽
Vol 13
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pp. 370-387
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2000 ◽
Vol 62
(2)
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pp. 303-306
2013 ◽
Vol 149
(12)
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pp. 2011-2035
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2011 ◽
Vol 150
(3)
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pp. 439-458
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2015 ◽
Vol 11
(06)
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pp. 1725-1734
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