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 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 21st November 2011
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