Discriminant (Module)

Let a Module in an Integral Domain for be expressed using a two-element basis as

For Imaginary Quadratic Fields (with ), the discriminants are given in the following table.

The discriminants of Real Quadratic Fields () aregiven in the following table.

2		34		67
3		35		69
5	5	37	37	70
6		38		71
7		39		73	73
10		41	41	74
11		42		77
13	13	43		78
14		46		79
15		47		82
17	17	51		83
19		53	53	85
21		55		86
22		57		87
23		58		89	89
26		59		91
29	29	61	61	93
30		62		94
31		65		95
33		66		97	97

References

Cohn, H. Advanced Number Theory. New York: Dover, pp. 72-73 and 261-274, 1980.

• Dissipative System
• Distance
• Distinct Prime Factors
• Distribution
• Distribution Function
• Distribution (Functional)
• Distribution Parameter
• Distribution (Statistical)
• Distributive
• Distributive Lattice
• Disymmetric
• Ditrigonal Dodecadodecahedron
• Ditrigonal Dodecahedron
• Divergence
• Divergenceless Field
• Divergence Tests
• Divergence Theorem
• Divergent Sequence
• Divergent Series
• Diversity Condition
• Divide
• Divided Difference
• Divine Proportion
• Divisibility Tests
• Divisible