A192322 Negated discriminants of imaginary quadratic number fields whose class group is isomorphic to the Klein 4-group, C2 x C2.

84, 120, 132, 168, 195, 228, 280, 312, 340, 372, 408, 435, 483, 520, 532, 555, 595, 627, 708, 715, 760, 795, 1012, 1435

Offset: 1

Author

David Terr, Jun 28 2011

Keywords

• nonn
• fini
• full

Comments

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

Links

• Alexandre Gélin, Everett W. Howe, and Christophe Ritzenthaler, Principally Polarized Squares of Elliptic Curves with Field of Moduli Equal To Q, arXiv:1806.03826 [math.NT], 2018 (see table 1 page 4).
• Rick L. Shepherd, Binary quadratic forms and genus theory, Master of Arts Thesis, University of North Carolina at Greensboro, 2013.

Crossrefs

Subsequence of A013658.

Programs

PARI

ok(n)={isfundamental(-n) && [2, 2] == quadclassunit(-n).cyc} \\ Andrew Howroyd, Jul 20 2018