A lower bound for the canonical height on elliptic curves over abelian extensions
Abstract
Let E/K be an ellptic curve defined over a number field, let h be the canonical height on E, and let Kab be the maximal abelian extension of K. Extending work of M. Baker, we prove that there is a positive constant C(E/K) so that every nontorsion point P in E(Kab) satisfies h(P) > C(E/K).
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