setQuotientRing given RingElement -- Set Quotient Ring given Single Defining Equation

Synopsis

• Usage:

  setQuotientRing(p)

• Inputs:
  • p, a generator of the curve
• Outputs:
  • an ideal

The function setQuotientRing sets the quotient ring QR of PR over an ideal, where the ideal may be given by defining equations. The global variables PR and QR are specified when setting its polynomial ring and quotient ring, respectively.

i1 : setPolynomialRing(GF 7, {x,y}, {2,3})

o1 = PR

o1 : PolynomialRing

i2 : setQuotientRing(y^2-x^3-3*x)

o2 = QR

o2 : QuotientRing