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

Last modified 8th June 2017
Return to main page