|
|
A143747
|
|
Complete list, sorted, of discriminants of definite Eichler orders with class number 1.
|
|
1
|
|
|
1, 5, 8, 13, 17, 49, 81, 148, 169, 316, 321, 725, 1957, 2777, 24217
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
From Kirschmer and Voight, Table 7.1: Definite Eichler orders with class number h = 1, p.26.
|
|
LINKS
|
|
|
EXAMPLE
|
There are 3 fields of degree n = 4. With discriminant d_F = 725 (as opposed to the possible 1957 or 2777) we may have norms (D, N) = {(1,1),(1,11),(1,19),(1,29)}. There is a unique field of degree n = 5, which has discriminant d_F = 24217, D = 5, N = 1.
|
|
CROSSREFS
|
|
|
KEYWORD
|
fini,full,nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|