# Elliptic curve over real numbers

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.

Elliptic curve over real numbers

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1

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 +0200 **

Seen: **408 times**

Last updated: **Feb 15 '21**

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