#9087: implement supersingular/ordinary testing for elliptic curves over finite
fields
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Reporter: cremona | Owner: cremona
Type: enhancement | Status: new
Priority: major | Milestone: sage-5.0
Component: elliptic curves | Keywords: super singular ordinary elliptic
curves
Author: John Cremona | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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I have implemented methods is_ordinary() and is_supersingular() for
elliptic curves over finite fields, together with functions
supersingular_j_polynomial(p) returning a polynomial over GF(p) whose
roots are the supersingular j-invariants in characteristic p, a dict
storing the precomputed output of this for p<300, and a function
is_j_supersingular(j) testing whether a finite field element j is a
supersingular j-invariant.
A patch will be ready shortly.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9087>
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