Hi Niles and Koffie!

On 2 Aug., 12:26, Niles <[email protected]> wrote:
> ...
> (Also, I have checked the example given in the docstring for elliptic
> curve 14a, and the power series patch does not affect this answer.  In
> fact the patch passes all tests from 'make ptestlong' except for the
> one mentioned in this bug)

By inserting some print statements in the code for comparing power
series, I found that during computation of
lp.Dp_valued_series(4,quadratic_twist=D, prec=4) there is one
comparison of O(T^4) with zero, where T is generator of a power series
ring over some p-adics.

The patch changes this comparison.
Without patch:
  sage: R.<T>=ZZ.completion(5,5)[[]]
  sage: O(T^4)==0
  False
but with the patch, O(T^4)==0 is true.


So, it is not surprising that the patch changes the result of the
lp.Dp_valued_series(4,quadratic_twist=D, prec=4). However, the
question is whether the old result was correct. After all, if I am not
mistaken, O(T^4) *should* evaluate to zero.

I think this is why Niles and I are asking on this list: Can some
expert on elliptic curves please verify whether the old result of
lp.Dp_valued_series(4,quadratic_twist=D, prec=4) was correct? We have
some doubts (since the comparison O(T^4)!=0 seems wrong to us), but
since I know virtually nothing about elliptic curves, I wouldn't be
able to verify the result.

Cheers,
Simon

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