On 26 April 2013 15:27, Myriam Mahaman <myr...@aims.ac.za> wrote:
> Is there a function implemented in Sage which computes the m-torsion
> subgroup of an elliptic curve defined over Q? I want all the points, not
> only the rational points.
>

Not as such.  You can get the m-division polynomial and construct its
splitting field, then base change to that and ask for the m-torsion
there;  either that's enough or you need to make a further quadratic
extension.  Would it be useful to have all that done automatically?
Could you write such a function and contribute it?

John Cremona

> Thanks,
>
> Myriam
>
> --
> Myriam MAHAMAN
> African Institute for Mathematical Sciences
> Email: myr...@aims.ac.za
>
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