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European Journal of Mathematics

, Volume 4, Issue 2, pp 555–560 | Cite as

Elliptic curves with large intersection of projective torsion points

  • Fedor A. Bogomolov
  • Hang FuEmail author
Research Article

Abstract

We construct pairs of elliptic curves over number fields with large intersection of projective torsion points.

Keywords

Elliptic curves Torsion points Division polynomials Unlikely intersections 

Mathematics Subject Classification

14H52 14Q05 

Notes

Acknowledgements

The authors are grateful to Professor Kevin Ford for indicating Remark 2.2.

References

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Courant Institute of Mathematical SciencesNew York UniversityNew YorkUSA
  2. 2.Laboratory of Algebraic Geometry and its ApplicationsNational Research University Higher School of EconomicsMoscowRussia

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