Explicit n-descent on elliptic curves, I. Algebra

@inproceedings{Cremona2006ExplicitNO,
  title={Explicit n-descent on elliptic curves, I. Algebra},
  author={John Cremona and T. A. Fisher and C. O'Neil and Denis Simon and Michael Stoll},
  year={2006}
}
Abstract This is the first in a series of papers in which we study the n-Selmer group of an elliptic curve, with the aim of representing its elements as genus one normal curves of degree n. The methods we describe are practical in the case n = 3 for elliptic curves over the rationals, and have been implemented in MAGMA. 
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