: BEGUI, HasnaDHIF, RoumaissaZIAD, Ines2023-06-212023-06-212014-06http://dspace.univ-eloued.dz/handle/123456789/26726mémoire lecence matimatuqueر ا ث ا وا ن أھم ھذه أ ر ھ ت ا ا $ طر ت، و ذه ا " # درا $ ذا Fermat ر ن رھ " # إ Tate-Shafarevtich رة ز وھ " ط ر ا و * ل ا , - د أھم ا ' ف ر ا ) إ le corps des nombres p- ب ) # ص ل 2 و la cohomologie # ب درا ط Nowadays, Elliptic curves are considered the most important research's topics in algebra especially after its use in the proof of Fermat's guessing. For this reason, we did an analytical study about these curves and defined one of the most important open problems that connected with. It is the group of "Tate-Shafarevitch" which needed to study the cohomology of groups and a special domain called " le corps des nombres p-adique".fr، " 3 ا ط2 ، ا *4 ط ا 2 ، ا ھ3 ت ا :elliptic curves, multiple point, point to infinity, cohomology.Other