# 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

add a comment

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
```

Please start posting anonymously - your entry will be published after you log in or create a new account.

Asked: ** 2021-02-15 19:01:02 +0100 **

Seen: **49 times**

Last updated: **Feb 15**

Generate a list/table for cardinality of elliptic curve

Elliptic curve over binary field in Sage

How to correctly load and use a pari/gp script in sage notebook [closed]

computing order of elliptic curves over binary field

Elliptic curves over function fields

Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.