Biquadrates and Elliptic Curves
classification
🧮 math.NT
keywords
ellipticleastrankbiquadratescurvecurvesdifferentfourth
read the original abstract
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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