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Elliptic Curves and Pythagorean Triples

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2014

Key Words:

Author Name
Abstract (2. Language): 
The aim of this paper is to study the family of elliptic curves of the form y2 = x(x - a2)(x - b2), where (a, b, c) is a primitive Pythagorean triple. First we show that the rank is positive. Then we construct some subfamilies with rank > 2 by different methods.
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REFERENCES

References: 

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