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Patterns of Points on Specific Elliptic Curves in Finite Field

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DOI: 10.23977/acss.2021.050201 | Downloads: 15 | Views: 245


Shutong Lu 1


1 Ulink College of Shanghai, Shanghai, China

Corresponding Author

Shutong Lu


In the process of finding Pythagorean triangular numbers, we can imagine a related problem about how many triples exist with a nonzero constant difference between the square of these triples. In fact, it requires more calculations and theory of elliptic curves. Although it is difficult to find all such triples with fixed differences in the field of real numbers, to find them in finite fields can be handled without using very advanced or Abstractmathematics. This dissertation is going to find the general pattern of solutions of some specific elliptic curves in finite field.


Elliptic curve, Finite field, Pythagorean triple


Shutong Lu, Patterns of Points on Specific Elliptic Curves in Finite Field. Advances in Computer, Signals and Systems (2021) Vol. 5: 1-4. DOI:


[1] Robson Eleanor. Mathematical Association of America Monthly, no.02, pp.105-120, 2002.

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