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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
OFFSET
1,2
COMMENTS
From Kirschmer and Voight, Table 7.1: Definite Eichler orders with class number h = 1, p.26.
LINKS
Markus Kirschmer, John Voight, Algorithmic enumeration of ideal classes for quaternion orders, arXiv:0808.3833 [math.NT]
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
Cf. A143746.
Sequence in context: A003653 A003655 A082823 * A314435 A314436 A314437
KEYWORD
fini,full,nonn
AUTHOR
Jonathan Vos Post, Aug 30 2008
STATUS
approved