A351664 Discriminants of imaginary quadratic fields with class number 26 (negated).

551, 951, 1247, 1256, 1735, 1832, 2651, 2771, 2792, 2823, 2839, 2984, 3092, 3327, 3368, 3611, 3736, 3903, 3992, 4052, 4207, 4244, 4376, 4739, 5123, 5435, 5524, 5891, 6059, 6443, 6515, 6587, 6676, 6847, 6891, 6964, 7156, 8003, 8339, 8383, 8408, 8691, 8743

Offset

1,1

Comments

Sequence contains 190 terms; largest is 103027.

The class group of Q[sqrt(-d)] is isomorphic to C_26 for all d in this sequence.

Links

Andy Huchala, Table of n, a(n) for n = 1..190

Eric Weisstein's World of Mathematics, Class Number.

Prog

(Sage)
ls = [(QuadraticField(-n, 'a').discriminant(), QuadraticField(-n, 'a').class_number()) for n in (0..10000) if is_fundamental_discriminant(-n) and not is_square(n)];
[-a[0] for a in ls if a[1] == 26]

Crossrefs

Cf. A006203, A013658, A014602, A014603, A046002-A046020, A046125, A056987.

Sequence in context: A285861 A034282 A127347 * A063877 A372895 A204870

Adjacent sequences: A351661 A351662 A351663 * A351665 A351666 A351667

Keyword

nonn,fini,full

Author

Andy Huchala, Feb 16 2022

Status

approved