A point of order 8

Mathematics – General Mathematics

Scientific paper

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2 pages

Scientific paper

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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