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bug in rational_points on hyperelliptic curve #350

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williamstein opened this issue Apr 11, 2007 · 1 comment
Closed

bug in rational_points on hyperelliptic curve #350

williamstein opened this issue Apr 11, 2007 · 1 comment

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@williamstein
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Hi.
I am quite happy that rational_points() of a hyperelliptic curve over
a finite field lists the poitn at infinity twice, but I don't
understand why it also lists other points twice.

Chris.

f = x^8+x+1
ft = f.change_ring(GF(7))
C = HyperellipticCurve(ft)
C.rational_points()
///
[(2 : 0 : 1), (4 : 0 : 1), (2 : 0 : 1), (4 : 0 : 1), (0 : 1 : 1), (6 :
1 : 1), (0 : 6 : 1), (6 : 6 : 1), (0 : 1 : 0), (0 : 1 : 0)]

Component: algebraic geometry

Issue created by migration from https://trac.sagemath.org/ticket/350

@sagetrac-dmharvey
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Mannequin

sagetrac-dmharvey mannequin commented Aug 18, 2007

comment:1

The expression x^8+x+1 is now a symbolic expression, not a polynomial, so the change_ring method is no longer valid.

In any case, the bug appears to be fixed now, so I'm closing this ticket.

@sagetrac-dmharvey sagetrac-dmharvey mannequin closed this as completed Aug 18, 2007
@williamstein williamstein added this to the sage-2.8.2 milestone Aug 18, 2007
tobiasdiez pushed a commit to tobiasdiez/sage that referenced this issue Feb 22, 2024
* Add fallback cache for licence data from api.opensource
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