TORSION POINTS OF ELLIPTIC CURVES OVER QUADRATIC FIELD

Authors

  • N. Mukhtar Department of Mathematics and Statistics, Nuhu Bamalli Polytechnic, Zaria, Nigeria Author
  • A. T. Imam Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria Author

Keywords:

Quadratic Field, torsion points, Elliptic Curve

Abstract

An elliptic curve is a cubic polynomial in two variables in which there is at least one rational solution. The set of all rational solutions to an elliptic curve is known to be an abelian group which is finitely generated. In this paper, we obtained the 2 – torsion and 3 – torsion points for the family of elliptic curves of the forms ???????? = ???????? + ???????? and ???????? = ???????? + ???????????? + ???????? over quadratic field.

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References

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Published

2021-12-01

How to Cite

TORSION POINTS OF ELLIPTIC CURVES OVER QUADRATIC FIELD. (2021). The Transactions of the Nigerian Association of Mathematical Physics, 17, 179–182. https://nampjournals.org.ng/index.php/tnamp/article/view/211

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