TORSION POINTS OF ELLIPTIC CURVES OVER QUADRATIC FIELD
Keywords:
Quadratic Field, torsion points, Elliptic CurveAbstract
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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