Proof of Mordell’s Finite Generation Theorem
In this chapter we prove that the rational points E(Q) on an elliptic curve over the rational numbers Q form a finitely generated group. We will follow a line of argument which generalizes to prove A. Weil’s extension to number fields. The Mordell-Weil group E(k) of points over a number field k on an elliptic curve E is a finitely generated group.
KeywordsAbelian Group Projective Space Elliptic Curve Rational Point Elliptic Curf
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