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Code for Quadratic Chabauty and rational points I: $p$-adic heights (Balakrishnan, Dogra)

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QCI

Sage code and data for

"Quadratic Chabauty and rational points I: $p$-adic heights" (Jennifer S. Balakrishnan and Netan Dogra)

For code to carry out Example 1 (Section 8.3), the main file is Ex1.sage. To run it, replace the following Sage library files with the files in this repository and rebuild Sage:

  • src/sage/schemes/elliptic_curves/padics.py
  • src/sage/schemes/hyperelliptic_curves/hyperelliptic_generic.py
  • src/sage/schemes/hyperelliptic_curves/hyperelliptic_padic_field.py

For the data produced in Example 2 (Section 8.4), the tables of p-adic points are available in

  • data/tables.txt
  • data/tables.pdf

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Code for Quadratic Chabauty and rational points I: $p$-adic heights (Balakrishnan, Dogra)

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