BCMATH programs for binary quadratic forms and quadratic fields: positive discriminants

  1. Reducing a binary quadratic form of positive discriminant using the Henri Cohen approach;
  2. Reducing a binary quadratic form of positive discriminant using the continued fraction approach;
  3. Reducing a binary quadratic form of positive discriminant using the Zagier approach;
  4. Finding the composite of two indefinite binary quadratic forms of same positive discriminant;
  5. Finding the nth power under composition of indefinite binary quadratic forms of positive discriminant;
  6. Finding the order of under composition of a binary indefinite quadratic forms of positive discriminant in the class group;
  7. Finding the class number of primitive binary quadratic forms of a given positive discriminant;
  8. Finding the class number of a real quadratic field.
  9. Calculating the class numbers of binary quadratic forms with positive discrimants d, for a range of d.
  10. Calculating the class numbers of real quadratic fields Q(√d) in a given range of squarefree d.

Last modified 19th July 2016
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