Corpus ID: 119684959

Nontorsion Points of Low Height on Elliptic Curves over Quadratic Fields

@inproceedings{Taylor2011NontorsionPO,
  title={Nontorsion Points of Low Height on Elliptic Curves over Quadratic Fields},
  author={G. Taylor},
  year={2011}
}
  • G. Taylor
  • Published 2011
  • Mathematics
  • We give examples of points with particularly low height on elliptic curves over quadratic fields, recovered by a search over elliptic divisibility sequences. The smallest example identified satisfies dh(P)=0.0077127...: improving on the previous smallest for curves over quadratic fields of dh(P)=0.0194426... given by Everest and Ward; and comparable with some of the examples of smallest height on curves over Q tabulated by Elkies. 
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