Sorry, early weekend and the brain isn't working yet. The documentation 
says "if morphism=True is passed, then a birational equivalence between F 
and the Weierstrass curve is returned. If the point happens to be a flex, 
then this is an isomorphism" and I wasn't thinking.

If I find the flex point on the original cubic is there a way to do this 
without doing it by hand though?

On Saturday, May 24, 2014 12:18:29 PM UTC-4, Volker Braun wrote:
>
> Its a 4:1 map so you can't invert it...
>
> On Saturday, May 24, 2014 4:45:11 PM UTC+1, diophan wrote:
>>
>>   Defn: Defined on coordinates by sending (x : y : z) to
>>         (1/8*x*y - 1/16*y^2 - 1/8*y*z : -x^2 + 1/8*x*y + 3/16*y^2 + x*z
>> + 3/8*y*z : -1/256*y^2)
>>
>>
>>

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