A143748 Complete list of discriminants of definite Eichler orders with class number 2.

1, 5, 8, 12, 13, 17, 21, 24, 28, 29, 33, 37, 41, 49, 81, 148, 169, 229, 257, 316, 321, 321, 404, 469, 568, 725, 1125, 1600, 1957, 2000, 2048, 2225, 2304, 2525, 2624, 2777, 3981, 4205, 4352, 4752, 6809, 14641, 24217, 36497, 38569, 300125, 371293, 434581

Offset

1,2

Comments

From Kirschmer and Voight, p.27, Table 7.2: Definite Eichler orders with class number h = 2. A143747 is based on Table 7.1: Definite Eichler orders with class number h = 1, p.26.

Links

Table of n, a(n) for n=1..48.

Markus Kirschmer and John Voight, Algorithmic enumeration of ideal classes for quaternion orders, arXiv:0808.3833 [math.NT], 2008-2014.

Example

With degree n = 6 there are 5 possible discriminants d_F = {300125, 371293, 434581, 485125, 592661} and in each case we must have norms D = N = 1.

Crossrefs

Cf. A143746, A143747.

Sequence in context: A003658 A003656 A003246 * A124378 A066299 A278040

Adjacent sequences: A143745 A143746 A143747 * A143749 A143750 A143751

Keyword

fini,full,nonn

Author

Jonathan Vos Post, Aug 30 2008

Status

approved