High rank elliptic curves of the form y2=x3 + Bx

Aguirre, Jacobo; Peral Alonso, Juan Carlos; Castañeda Bravo, Fernando

doi:10.5209/REV_REMA.2000.V13.N1.17088

High rank elliptic curves of the form y2=x3 + Bx

Revista:

Revista matemática complutense

ISSN: 1139-1138, 1988-2807

Año de publicación: 2000

Volumen: 13

Número: 1

Páginas: 17-32

Tipo: Artículo

DOI: 10.5209/REV_REMA.2000.V13.N1.17088 DIALNET GOOGLE SCHOLAR Acceso abierto editor

Otras publicaciones en: Revista matemática complutense

Resumen

Seven elliptic curves of the form y2 = x3 + B x and having rank at least 8 are presented. To find them we use the double descent method of Tate. In particular we prove that the curve with B = 14752493461692 has rank exactly 8

Fuente de los datos: Dialnet