#11474: Elliptic curves should be unique parent structures
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       Reporter:  SimonKing          |        Owner:  cremona
           Type:  defect             |       Status:  needs_info
       Priority:  major              |    Milestone:  sage-6.3
      Component:  elliptic curves    |   Resolution:
       Keywords:  unique parent      |    Merged in:
        Authors:  Simon King         |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/defeo/ticket/11474               |  8cbb73e266096e02efc917545aab36d067b7e063
   Dependencies:                     |     Stopgaps:
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Comment (by pbruin):

 Replying to [comment:35 SimonKing]:
 > Replying to [comment:34 pbruin]:
 > > I would personally prefer a `UniqueFactory`, mostly because I think it
 is more natural and uses less black magic than `UniqueRepresentation` +
 `__classcall__`, and hence will be easier to understand/extend for other
 developers.
 >
 > ... except for the fact that `UniqueFactory` ''alone'' is not enough to
 create a unique parent. You need to additionally adapt `__cmp__` etc, and
 this is what inheritance from `UniqueRepresentation` does on top of
 `__classcall__`.
 Something that I think you recently clarified to me elsewhere, and which
 might be worth emphasising here too, is that "unique parents" really
 refers to ''two'' conditions:
 - equivalent input data (in the sense that we regard the resulting objects
 as being "the same", e.g. ''a''-coefficients vs. Cremona label
 corresponding to the same curve) should result in identical parents;
 - parents should compare equal if and only if they are identical.
 I was thinking about the first point, which is the more difficult one
 here.  If we end up solving this by implementing a `UniqueFactory`, then
 the second point can be solved by simply inheriting from
 `WithEqualityById`, right?

--
Ticket URL: <http://trac.sagemath.org/ticket/11474#comment:36>
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