| Abstract:
One of the cool features of elliptic curves is the abundance of
conjectures and theorems whose statements are accessible to high school
students with an elementary knowledge of algebra and geometry but whose
proofs either are unknown or, in some cases, are the culmination of
decades of research using some of the most powerful tools of twentieth
century mathematics. In this talk, we take an excursion into this rich
garden and see a few samples of historic importance and their solutions
using some of the algorithms like the Lutz-Nagell Theorem etc.
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