login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Negated discriminants of imaginary quadratic number fields whose class group is isomorphic to the Klein 4-group, C2 x C2.
4

%I #26 Jul 20 2018 17:35:42

%S 84,120,132,168,195,228,280,312,340,372,408,435,483,520,532,555,595,

%T 627,708,715,760,795,1012,1435

%N Negated discriminants of imaginary quadratic number fields whose class group is isomorphic to the Klein 4-group, C2 x C2.

%C Added keyword "full" - This sequence is a subsequence of A013658, whose last term is 1555. I have verified that the terms above are complete and correct. - _Rick L. Shepherd_, May 06 2013

%H Alexandre Gélin, Everett W. Howe, and Christophe Ritzenthaler, <a href="https://arxiv.org/abs/1806.03826">Principally Polarized Squares of Elliptic Curves with Field of Moduli Equal To Q</a>, arXiv:1806.03826 [math.NT], 2018 (see table 1 page 4).

%H Rick L. Shepherd, <a href="http://libres.uncg.edu/ir/uncg/f/Shepherd_uncg_0154M_11099.pdf">Binary quadratic forms and genus theory</a>, Master of Arts Thesis, University of North Carolina at Greensboro, 2013.

%o (PARI) ok(n)={isfundamental(-n) && [2, 2] == quadclassunit(-n).cyc} \\ _Andrew Howroyd_, Jul 20 2018

%Y Subsequence of A013658.

%K nonn,fini,full

%O 1,1

%A _David Terr_, Jun 28 2011