The Pari-Script of the 3-Selmer Group of an elliptic curve: y^{2} = x^{3} + b |
Sungkon Chang University of Georgia |
I wrote a Pari-script which computes the 3-Selmer group of an elliptic curve given by the above equation.
The script is based upon the algorithm introduced in Schaefer-Stoll's paper:
How to do a p-descent on an elliptic curve
link,
Trans AMS.
One may use this script together with Cremona's mwrank
to compute the 3-part of the Tate-Shaferavich group.
The program is run in the gp-calculator of the Pari system:
For more explanation, refer to the report, and please, report bugs to (schang@math.uga.edu) |