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math.NT2013
Partitions with equal products and elliptic curves
Mohammad Sadek, Nermine El-Sissi
Let be distinct positive integers. Set and . We give an explicit description of the Mordell-Weil group of the elliptic curve $\displaystyle E_{(M,N)}:y^2-M…
math.NT2013
Formal Groups and Invariant Differentials of Elliptic Curves
Mohammad Sadek
In this paper, we find a power series expansion of the invariant differential of an elliptic curve defined over , where is described by certain families o…