Efficient computation of p-adic heights

LMS J. Comput. Math. 11 (2008), 40–59 (DOI).


We analyse and drastically improve the running time of the algorithm of Mazur, Stein and Tate for computing the canonical cyclotomic p-adic height of a point on an elliptic curve E/Q, where E has good ordinary reduction at p ≥ 5.

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