#8829: Saturation for MW-groups of elliptic curves over number fields.
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Reporter: robertwb | Owner: cremona
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.4
Component: elliptic curves | Resolution:
Keywords: saturation | Merged in:
Authors: Robert Bradshaw, | Reviewers:
John Cremona | Work issues:
Report Upstream: N/A | Commit:
Branch: u/cremona/8829 | 8686677fa5cdf4359fd6f6b8d8e25925f6893a4c
Dependencies: #8828 | Stopgaps:
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Changes (by cremona):
* status: needs_review => needs_work
Old description:
> Implementation of saturation of points on elliptic curves over number
> fields. Originap patch by Robert Bradshaw in 2010, refactored and made
> into a git branch by John Cremona in 2015.
>
> I also implemented the simple case of E.gens() for E(K) when E/Q and
> [K:Q] = 2.
New description:
Implementation of saturation of points on elliptic curves over number
fields. Original patch by Robert Bradshaw in 2010, refactored and made
into a git branch by John Cremona in 2015.
I also implemented the simple case of E.gens() for E(K) when E/Q and [K:Q]
= 2.
--
Comment:
After further testing (on many thousands of curves but only p-saturating
for small p) I saw that it was bad to use discrete_log_lambda() for the
dlog in the multiplcative group (in the rarer case where the p-rank of the
reduction is 2 and the Weil pairing is used), both unnecessary and less
efficient than simply w.log(zeta).
One additional commit coming up...
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Ticket URL: <http://trac.sagemath.org/ticket/8829#comment:36>
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