CODEWITHSUNDEEP
sageelliptic-curve
ctesta01
ctesta01

Reputation: 959

Cartesian Points on Elliptic Curves in sage

I just want to sample cartesian points from an elliptic curve in $(x,y)$ form. Given one of x or y, I want to be able to calculate the other's possibilities.

Examples: I have EllipticCurve('11a') and I want to know where it intersects the x-axis in (x,y) coordinates. What about where the curve intersects x=5? Or where it intersects y=3?

Can somebody assist me in doing this?

Upvotes: 0

Views: 180

Answers (1)

Luca De Feo
Luca De Feo

Reputation: 807

You just need to solve a polynomial equation in one variable. The factor function, or the .roots method of polynomials can do that for you.

Upvotes: 1

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