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 |