Lehrstuhl D für Mathematik
Database of unit groups
Database: Unit Groups of Orders

Indefinite quaternion algebras over the rationals

In this table you can find MAGMA-readable files (simply download and use the "load"-command) containing our results for the unit group of a maximal order in the quaternion algebra defined by i^2=a, j^2=b, realized in the 2-by-2 matrix ring over the real quadratic field Q(alpha), where alpha is always a square root of b
The column "Z-discriminant" contains the Z-discriminant of the maximal order.
The algebras are ordered by their discriminants.

a b Z-discriminant Files
2 3 6 Link
-3 10 10 Link
-2 7 14 Link
2 15 15 Link
-1 21 21 Link
-3 22 22 Link
-5 26 26 Link
-1 33 33 Link
-3 34 34 Link
-2 35 35 Link
-19 2 38 Link
39 2 39 Link
-3 46 46 Link
51 5 51 Link
55 2 55 Link
-1 57 57 Link
-3 58 58 Link
-2 31 62 Link
-42 5 210 Link
19 37 703 Link
31 37 1147 Link