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Asked: 2026-06-03T03:02:26+00:00

currently working on generation elliptic curve for ECDSA and met some problems: An elliptic

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currently working on generation elliptic curve for ECDSA and met some problems:
An elliptic curve: y**2 = x**3 + ax + b (mod p)
Point on elliptic curve: G = (Gx, Gy)

  1. How to find a cardinality of Elliptic curve?
  2. How to find the order of point G on that elliptic curve?

— As for 1.: the cardinality may be found with SEA (which fit nicely for large modules p). Is there any implementation for SEA within Python?
— As for 2: any solution within Python?

P.S.
Sorry for my English and thank you.

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1 Answer

  1. Editorial Team

    This is related to this topic.

    Sage is a powerful math package with a Python front-end. With Sage you will be able to use PARI/GP package

    You have also some information in their FAQ about elliptic curves

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