A143747 Complete list, sorted, of discriminants of definite Eichler orders with class number 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

Table of n, a(n) for n=1..15.

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

Adjacent sequences: A143744 A143745 A143746 * A143748 A143749 A143750

Keyword

fini,full,nonn

Author

Jonathan Vos Post, Aug 30 2008

Status

approved