Abstract: Let an elliptic curve over the quadratic field given by Weierstrass equation: , where in . We introduce some fundamental results of the elliptic curve. After we create an elliptic curve with an element of infinite order [2,3,4].
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.
S. Abdelalim, A. Chillali, S. Elhajji, "Point of Infinite Order on an Elliptic Curve over a Quadratic Field," WSEAS Transactions on Mathematics, vol. 13, pp. 428-430, 2014, DOI:
S. Abdelalim, A. Chillali, S. Elhajji. Point of Infinite Order on an Elliptic Curve over a Quadratic Field.
WSEAS Transactions on Mathematics. 2014;13:428-430.