#4606: elliptic curves -- implement gross-Zagier L-functions
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Reporter: robertwb | Owner:
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.7
Component: elliptic curves | Resolution:
Keywords: | Merged in:
Authors: William Stein, | Reviewers:
Robert Bradshaw, Craig Citro | Work issues:
Report Upstream: N/A | Commit:
Branch: u/chapoton/4606 | 0bb47fa2466dbc64485237c788b964e5b0280ccb
Dependencies: | Stopgaps:
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Comment (by cremona):
Replying to [comment:33 chapoton]:
> I see some remaining things that should be done:
>
> - maybe use the generic theta function code if it is faster than the one
provided here for binary quadratic forms (as it seems to be)
Surely such a possible improvement can be noted for later work, and not
delay this?
>
> - make sure that the syntax is similar to the other L-functions we have
Good point.
>
> - test with many curves and many quadratic number fields
>
I tested with one curve and many fields. This led to the one suggestion I
have:
- somewhere, perhaps in the constructor for GrossZagierLseries, test that
the ideal class is associated to an imaginary quadratic field. If you
construct it from an ideal in a real quadratic field there is a resulting
error in the quadratic forms code, and this should be more graceful.
John
> - have an expert say something about the conductor. I changed it using
my very small understanding of Dokchister parameters and it worked. But I
am not very sure if it is the right answer for all curves and all fields.
--
Ticket URL: <http://trac.sagemath.org/ticket/4606#comment:34>
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