Abelian varieties can be considered generalizations of these objects which cannot be parametrized by rational functions.
Mordell names a special case of these where one value is an integer. Abelian varieties can be considered generalizations of these objects which cannot be parametrized by rational functions. Weierstrass names a function which de- scribes how to obtain the algebraic expression of one of these if one has the geometric object on which all of its points lie. These objects are de ned as the embeddings of tori on the complex projective plane. A conjecture stating that these objects are   modular if they are rational was central to the proof of Fermat's Last Theorem. For ten points, identify these curves with equation y2 = a3 + ax + b.
Mordell names a special case of these where one value is an integer.
elliptic curves