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- W2989736074 abstract "In this paper, for an elliptic curve $E$ defined over the algebraic numbers and for any subfield $F$ of algebraic numbers, we say that $E$ has the Northcott property over $F$ if there are at most finitely many $F$-rational points on $E$ of arbitrary bounded height. We show that the Northcott property preserves under non-constant morphism and it holds if the group of $F$-rational points is finitely generated. We also establish some typical cases for the failure of the Northcott property, such as the totally real numbers." @default.
- W2989736074 created "2019-12-05" @default.
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- W2989736074 date "2019-11-20" @default.
- W2989736074 modified "2023-09-27" @default.
- W2989736074 title "On the Northcott property of elliptic curves" @default.
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