How to implement pairings on MNT curves?
I have used elliptic curves in sagemath. But I do not how to use pairings in sagemath.
I found a list of MNT curves at https://www.esat.kuleuven.be/cosic/pu...
I also found some documentation on elliptic curves at https://doc.sagemath.org/html/en/refe...
It provides ate_pairing, tate_pairing, weil_pairing functions. I don't know which one to use. I couldn't understand it. I do not know math behind pairings well enough. Please provide a simple code for performing pairing operations on these curves.
A quick websearch reveals a number of introductory texts.
Maybe it can help clarify the background and the question.