Non-divisible point on a two-parameter family of elliptic curves
2021
Online
unknown
Zugriff:
Let n be a positive integer and t a non-zero integer. We consider the elliptic curve over Q given by E : y 2 = x 3 + tx 2 -- n 2 (t + 3n 2)x + n 6. It is a special case of an elliptic surface studied recently by Bettin, David and Delaunay [2] and it generalizes Washington's family. The point (0, n 3) belongs to E(Q) and we obtain some results about its nondivisibility in E(Q). Our work extends to this two-parameter family of elliptic curves a previous study of Duquesne (mainly stated for n = 1 and t > 0).
Titel: |
Non-divisible point on a two-parameter family of elliptic curves
|
---|---|
Autor/in / Beteiligte Person: | Petit, Valentin ; Laboratoire de Mathématiques de Besançon (UMR 6623) (LMB) ; Université de Bourgogne (UB)-Université de Franche-Comté (UFC) ; Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC)-Centre National de la Recherche Scientifique (CNRS) ; Université de Bourgogne (UB)-Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC) ; Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC) |
Link: | |
Veröffentlichung: | 2021 |
Medientyp: | unknown |
Schlagwort: |
|
Sonstiges: |
|