Lower bounds of the canonical height on quadratic twists of elliptic curves

Autor:	Nara, T.
Rok vydání:	2011
Předmět:	Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	We compute a lower bound of the canonical height on quadratic twists of certain elliptic curves. Also we show a simple method for constructing families of quadratic twists with an explicit rational point. % from cubic polynomials. Using the above lower bound, we show that the explicit rational point is primitive as an element of the Mordell--Weil group.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1110.6710 Zobrazit plný text záznamu View this record from Arxiv