Détermination des points algébriques de degré donne quelconque sur la courbe d’équation affine y^2= x^3- 8x^2+ x
International Journal of Development Research
Détermination des points algébriques de degré donne quelconque sur la courbe d’équation affine y^2= x^3- 8x^2+ x
Received 09th October, 2021; Received in revised form 17th November, 2021; Accepted 29th December, 2021; Published online 28th January, 2022
Copyright © 2022, Mohamadou Mor Diogou Diallo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We determine explicitly the set of algebraic points of given degreeover Q on the affine curve y^2= x^3- 8x^2+ xmentioned in ([Fly, page 207]). where, we have shown that the Mordell-Weil group of this curve is finite. This note treat a special case of elliptic curves C∶ y^2 = (x - e_1 )(x - e_2 )(x - e_3 )These curves are described by Leopoldo KULESZ in ([Kul, page 107] ).
