Jacobians of Hyperelliptic Curves

Features:

• Normal form and addition of points
• Order of a point
• Structure of group of rational points over finite fields
• Height constant for genus 2 curves
• Canonical heights on Jacobians of genus 2 curves (following V. Flynn)
• 2-Selmer rank of the Jacobian of a genus 2 curve (via 2-descent)
• Rational torsion subgroup on the Jacobian of a genus 2 curve
• Rank of the subgroup of the Mordell-Weil group generated by a given set of points in the Jacobian (of a genus 2 curve over Q).
• Kummer surface of the Jacobian of a genus 2 curve