Can someone make a trac ticket for this please?
On 25 Jul 2016 11:25, "Robin Houston" <robin.hous...@gmail.com> wrote:

> I ran into an unexpected error in EllipticCurve_from_cubic, with the
> following cubic and rational point:
>
> R.<x,y,z> = QQ[]
> cubic = -3*x^2*y + 3*x*y^2 + 4*x^2*z + 4*y^2*z - 3*x*z^2 + 3*y*z^2 - 8*z^3
> EllipticCurve_from_cubic(cubic, (-4/5, 4/5, 3/5))
>
> Note that it works as expected using instead the different rational point
> (1, 1, 0).
>
> On investigation, I found there is a case that isn’t handled correctly.
> The code computes
>
> P2 = chord_and_tangent(F, P)
>
> and if P2 is projectively equivalent to P then it uses a different
> algorithm. If they’re different, it then computes
>
> P3 = chord_and_tangent(F, P2)
>
> and uses an algorithm that fails if P3 is equivalent to P2.
>
> I think the attached patch fixes this problem. At least, with this patch
> it now works for my examples.
>
> Best wishes,
> Robin
>
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