#6583: Implement two descent over QQ natively in Sage using ratpoints
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Reporter: rlm | Owner: rlm
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-4.3
Component: elliptic curves | Keywords:
Work_issues: | Author: Robert Miller
Upstream: N/A | Reviewer:
Merged: |
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Comment(by rlm):
Maybe this is a more accurate comparison:
{{{
sage: L = []
sage: for E in cremona_optimal_curves(range(200)):
if E.torsion_order()%2 == 0:
A = E.mwrank_curve(); t = walltime()
A.two_descent(verbose=False, second_descent=False)
t = walltime(t)
s = walltime()
_ = two_descent_by_two_isogeny(E)
s = walltime(s)
if s > t: print E.label()
else:
L.append(t/s)
....:
sage: sum(L)/len(L)
28.023321958157503
}}}
Thus the average speedup is 28x.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6583#comment:12>
Sage <http://www.sagemath.org>
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