Biquadrates and Elliptic Curves

Details Biquadrates and Elliptic Curves Biquadrates and Elliptic Curves

2012-03-12

arxiv.org/abs/1203.2576v1

Mathematics

Number Theory

5 pages

Scientific paper

The elliptic curve y^2= x^3-Nx where N=m^4+n^4 has rank at least 2 over
Q(m,n). When N can be written in two different ways as sum of two fourth
powers, then we prove that the rank is at least 4.

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