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Elliptic curve over real numbers

asked 2021-02-15 19:01:02 +0100

EvaMGG gravatar image

Is it possible to define an elliptic curve over the real numbers in SageMath? I want to calculate the order of a point on the curve.

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answered 2021-02-15 21:20:27 +0100

FrédéricC gravatar image

What kind of reals do you want ?

One could do

sage: E = EllipticCurve_from_c4c6(AA(4),AA(5).sqrt()); E
Elliptic Curve defined by y^2 = x^3 - 1/12*x - 0.002588041640624757? over Algebraic Real Field
sage: E.point_set(AA)                                                           
Abelian group of points on Elliptic Curve defined by y^2 = x^3 - 1/12*x - 0.002588041640624757? over Algebraic Real Field
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Asked: 2021-02-15 19:01:02 +0100

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Last updated: Feb 15