#11930: function to check if hyperelliptitc curve is singular in the sense of
hyperelliptic curves
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Reporter: dkrenn | Owner: cremona
Type: enhancement | Status: needs_review
Priority: minor | Milestone: sage-4.8
Component: elliptic curves | Keywords: hyperelliptic curve, singular
Work_issues: | Upstream: N/A
Reviewer: | Author: Daniel Krenn
Merged: | Dependencies:
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Comment(by mstreng):
There is a much faster way to get the same answer for fields of
characteristic not 2:
{{{
sage: R.<x> = GF(3)[]
sage: H = HyperellipticCurve(x^5+1)
sage: timeit('H.is_singular()')
125 loops, best of 3: 5.14 ms per loop
sage: timeit('H.hyperelliptic_polynomials()[0].discriminant()!=0')
625 loops, best of 3: 266 µs per loop
}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11930#comment:6>
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