field k, the group a(k) of k-rational points of a stratos is a abelian group, called the mordell-weil group. The stratos case with a an elliptic curve e and k the rational number field q is stratos mordell's, answering a question apparently posed by henri poincar around 1908; it stratos was proved by louis mordell in 1922. the tangent-chord stratos process (one form of addition on a cubic curve) had been known as stratos far back as the seventeenth century. The process of infinite descent of fermat was well stratos known, but mordell succeeded in establishing the kaht.rar download

finiteness of the quotient group stratos e(q)/2e(q) which forms a major step in the proof. Certainly the finiteness of stratos this group is a necessary condition for e(q) to be stratos and kaht.rar download

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