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Rational points on an elliptic curve
This picture illustrates a few rational points on the elliptic curve given by the equation y^{3}  y = x^{2} + x and linked by the group law on this curve. The fact that the set of rational points on a nonsingular cubic curve admits the structure of an abelian group is fundamental for their arithmetic geometry.





© P. Berthelot
Last update : 9.5.04



