Titlebook: Computational Algebra and Number Theory; Wieb Bosma,Alf Poorten Book 1995 Springer Science+Business Media Dordrecht 1995 Category theory.G

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Book 1995new and traditional algorithms, the creation ofnew paradigms for implementing computational methods, the viewing ofold techniques from a concrete algorithmic vantage point, to name buta few. ..Computational Algebra and Number Theory. lies at the livelyintersection of computer science and mathematics

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Does the Set of Points of an Elliptic Curve Determine the Group?,rojective plane over ., but have different group structures. Our main result states that this is a rare phenomenon: it occurs if and only if . has characteristic 2 and .(.) has order 5. We also encounter an elliptic curve . for which .(.) has a .[.]-module structure for many fields ., even though . does not have complex multiplication by .[.].

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