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Search: id:A143748
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| A143748 |
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Complete list of discriminants of definite Eichler orders with class number 2. |
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1
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| 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
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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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.
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LINKS
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Markus Kirschmer, John Voight, Algorithmic enumeration of ideal classes for quaternion orders, Aug 28, 2008, arXiv:0808.3833
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EXAMPLE
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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.
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CROSSREFS
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Cf. A143746, A143747.
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KEYWORD
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fini,full,nonn,new
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), Aug 30 2008
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EXTENSIONS
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Replaced arxiv URL by non-cached version - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 30 2009
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