A point of order 8

2011/10/03 by Adlaj, Semjon
#FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.1110.0357

Abstract

A formula expressing a point of order 8 on an elliptic curve, in terms of the roots of the associated cubic polynomial, is given. Doubling such a point yields a point of order 4 distinct from the well-known points of order 4 given in standard references such as "A course of Modern Analysis" by Whittaker and Watson.

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