Implementing 2-descent for Jacobians of hyperelliptic curves

@inproceedings{Stoll1999Implementing2F,
  title={Implementing 2-descent for Jacobians of hyperelliptic curves},
  author={Michael Stoll},
  year={1999}
}
This paper gives a fairly detailed description of an algorithm that computes (the size of) the 2-Selmer group of the Jacobian of a hyperellitptic curve over Q. The curve is assumed to have even genus or to possess a Q-rational Weierstraa point. 

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