Two and three descent for elliptic curves associated with perfect cuboids

Autor:	Ramsden, John, Sharipov, Ruslan
Rok vydání:	2013
Předmět:	Mathematics - Number Theory 11G05 14H52 11D25 11D72
Druh dokumentu:	Working Paper
Popis:	A rational perfect cuboid is a rectangular parallelepiped whose edges and face diagonals are given by rational numbers and whose space diagonal is equal to unity. Recently it was shown that the Diophantine equations describing such a cuboid lead to a couple of parametric families of elliptic curves. Two and three descent methods for calculating their ranks are discussed in the present paper. The elliptic curves in each parametric family are subdivided into two subsets admitting 2-descent and 3-descent methods respectively. Comment: AmSTeX, 37 pages, amsppt style
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1303.0765 Zobrazit plný text záznamu View this record from Arxiv