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Elliptic Curves and Quadratic Recurrence Sequences

✍ Scribed by Hone, A. N. W.

Book ID
115444577
Publisher
Oxford University Press
Year
2005
Tongue
English
Weight
537 KB
Volume
37
Category
Article
ISSN
0024-6093

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Let n 5 be an integer. We provide an effective method for finding all elliptic curves in short Weierstrass form E/Q with j (E) ∈ {0, 1728} and all P ∈ E(Q) such that the nth term in the elliptic divisibility sequence defined by P over E fails to have a primitive divisor. In particular, we improve re