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math.NT2022
Class number divisibility of constructed from elliptic curves of -Selmer rank exactly
Debopam Chakraborty, Vinodkumar Ghale, MD Imdadul Islam
The class number divisibility problem for number fields is one of the classical problems in algebraic number theory, which originated from Gauss' class number conjectures. The rela…
math.NT2022★ 3 cited
Construction of an infinite family of elliptic curves of 2-selmer rank 1 from heron triangles
Debopam Chakraborty, Vinodkumar Ghale, Anupam Saikia
Given any positive integer n, it is well known that there always exist triangles with rational sides a, b and c such that the area of the triangle is n. Assuming finiteness of the…