I am new to the concept of the elliptic curve. I was going through an article, where the author claimed to have calculated the rank of a family of an elliptic curve using $mwrank.$ The family of the elliptic curve he took is given by $E_{k} : y^2 = (F_{2k}x+1)(F_{2k+2}x+1)(F_{2k+4}x+1),$ where $F_{k}$ is the $kth$ fibonacci number defined by $F_{k} = F_{k-1}+F_{k-2}$ for $k > 1$ with $F_{0} = 0$ and $F_{1} = 1.$ I tried doing the same using SageMath, after a while, it becomes slow as the magnitude of coefficients grows. I searched for the methodology of using $mwrank,$ but did not found. I want to know how to use this software or package known as $mwrank.$
2026-03-27 13:20:30.1774617630
Use of mwrank to calculate rank of an elliptic curve
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