Searching for simultaneous arithmetic progressions on elliptic curves

Author/s	García Selfa, Irene Tornero Sánchez, José María
Department	Universidad de Sevilla. Departamento de álgebra
Date	2005-06
Published in	Bulletin of the Australian Mathematical Society, 71 (3), 417-424.
Abstract	We look for elliptic curves featuring rational points whose coordinates form two arithmetic progressions, one for each coordinate. A constructive method for creating such curves is shown, for lengths up to 5.
Project ID.	FQM 218 BFM 2001–3207
Citation	García Selfa, I. y Tornero Sánchez, J.M. (2005). Searching for simultaneous arithmetic progressions on elliptic curves. Bulletin of the Australian Mathematical Society, 71 (3), 417-424.