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* People: Marco Streng, Mak Trifkovic, Peter Bruin, John Cremona  * People: Marco Streng, Mak Trifkovic, Peter Bruin, John Cremona
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* This is Trac ticket 727: http://trac.sagemath.org/sage_trac/ticket/727  * This is Trac ticket 727: http://trac.sagemath.org/sage_trac/ticket/727
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* Write for Sage a Conic class using Denis Simon's pari code, possibly mwrank, finding points over number fields, other fields? == Conic class currently available at the ticket ==

 * Uses Denis Simon's pari code for solving and parametrizing conics over QQ.

 * Uses pari's rnfisnorm for finding points on conics over number fields.

 * Solves conics over finite fields and RR and CC.

 * Parametrize any conic given a rational point.

 * A hierarchy of Conic classes (modelled after the hierarchy of Elliptic curve classes and building upon the hierarchy of plane curve classes)

 * Change the constructor of Curve to return a Conic if the curve is a Conic

== Extensions ==

 * Hilbert symbols (for local solubility of conics):

   * http://trac.sagemath.org/sage_trac/ticket/9334

   * Pari has Hilbert symbols

 * Conics over polynomial rings: http://trac.sagemath.org/sage_trac/ticket/6881

 * An is_norm() function to replace the file "rnfisnorm.py" of ticket 727: http://trac.sagemath.org/sage_trac/ticket/2329

Coding Sprint Project: Solving Conics

Conic class currently available at the ticket

  • Uses Denis Simon's pari code for solving and parametrizing conics over QQ.
  • Uses pari's rnfisnorm for finding points on conics over number fields.
  • Solves conics over finite fields and RR and CC.
  • Parametrize any conic given a rational point.
  • A hierarchy of Conic classes (modelled after the hierarchy of Elliptic curve classes and building upon the hierarchy of plane curve classes)
  • Change the constructor of Curve to return a Conic if the curve is a Conic

Extensions

days23/conics (last edited 2010-07-21 09:42:26 by MarcoStreng)