#16764: Add CM detection for elliptic curves over number fields
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Reporter: cremona | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.3
Component: elliptic curves | Resolution:
Keywords: complex | Merged in:
multiplication | Reviewers:
Authors: John Cremona | Work issues:
Report Upstream: N/A | Commit:
Branch: | caf41e68e76a753268ce4f4dae36555f0003017b
u/cremona/ticket/16764 | Stopgaps:
Dependencies: |
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Comment (by mstreng):
While you're at it, could you change the wording in the first line of the
documentation of has_cm for elliptic curves over the rationals to be less
ambiguous?
I've seen Complex Multiplication to mean over the base field and to mean
over the algebraic closure, so "Returns True iff this elliptic curve has
Complex Multiplication." is ambiguous. It could be "Returns True iff this
elliptic curve has Complex Multiplication over the algebraic closure." or
"Returns True iff this elliptic curve has a CM j-invariant." as in the
number field case.
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Ticket URL: <http://trac.sagemath.org/ticket/16764#comment:8>
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