Changes between Initial Version and Version 4 of Ticket #6881
 Timestamp:
 Jul 20, 2010, 9:13:37 PM (12 years ago)
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Ticket #6881
 Property Cc Marco Streng added

Property
Summary
changed from
Conics
toSolving conics over polynomial rings.

Property
Component
changed from
algebra
toalgebraic geometry

Property
Report Upstream
changed from
to
N/A

Ticket #6881 – Description
initial v4 1 We should have a class (or classes) for conic curves, and, more specially diagonal conics. In particular, one of the methods should be John Cremona's algorithms for finding points on solvable conics, both over Q and over fraction fields of polynomial rings. Other methods might include getting discriminants, primes of bad reduction, producing parametrized solutions, etc. 1 Implement the algorithm of John Cremona and Mark van Hoeij for finding conics over fraction fields of polynomial rings. 2 3 The article [http://www.warwick.ac.uk/~masgaj/papers/conicFT.pdf] contains references to implementations in Maple (van Hoeij) and Magma (CremonaRoberts). All one needs to do is ask the authors if it can be GPL'ed and to translate the code into sage. 4 5 #727 provides classes for conic curves that this code should build upon