 | 1 | initial version |
when i generate an elliptic curve and work with it's points. it is always displaying with Z-coordinate =1 as following:
sage: EC=EllipticCurve(GF(101),[2,3])
sage: EC
Elliptic Curve defined by y^2 = x^3 + 2*x + 3 over Finite Field of size 101
sage: EC.random_point()
(60 : 65 : 1)
sage: point1=EC.random_point()
sage: point1
(3 : 6 : 1)
sage: point2=2*point1
sage: point2
(30 : 55 : 1)
as shown Z-coordinate always = 1. can i work with points with it's normal (original) Z- component ??
| | 2 | retagged |
when i generate an elliptic curve and work with it's points. it is always displaying with Z-coordinate =1 as following:
sage: EC=EllipticCurve(GF(101),[2,3])
sage: EC
Elliptic Curve defined by y^2 = x^3 + 2*x + 3 over Finite Field of size 101
sage: EC.random_point()
(60 : 65 : 1)
sage: point1=EC.random_point()
sage: point1
(3 : 6 : 1)
sage: point2=2*point1
sage: point2
(30 : 55 : 1)
as shown Z-coordinate always = 1. can i work with points with it's normal (original) Z- component ??
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