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math.NT2024
Quadratic twists of tiling number elliptic curves
Keqin Feng, Qiuyue Liu, Jinzhao Pan +1
A positive integer is called a tiling number if the equilateral triangle can be dissected into congruent triangles for some integer . An integer is tiling numbe…
math.NT2020
-Congruent Numbers, Tiling Numbers and the Selmer Rank of Related Elliptic Curves: odd n
Qiuyue Liu, Jing Yang, Keqin Feng
Several discrete geometry problems are closely related to the arithmetic theory of elliptic curves defined on the rational fields . In this paper we consider the -co…