Some remarks concerning points of finite order on elliptic curves over global fields

@article{Frey1977SomeRC,
  title={Some remarks concerning points of finite order on elliptic curves over global fields},
  author={Gerhard Frey},
  journal={Arkiv f{\"o}r Matematik},
  year={1977},
  volume={15},
  pages={1-19}
}
Using the reduction theory of Nrron we give necessary conditions for the existence of points of order q on elliptic curves E rational over global fields. An application is the determination of all elliptic cu rves /Q with integer j and torsion points, generalizing Olson [8]. Another application is a theorem about semistable reduction whose consequences generalize a theorem of Olson [9] ( K = Q) and give divisibility conditions for the discriminant and the coefficients of E related with the… CONTINUE READING
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