A351675 Discriminants of imaginary quadratic fields with class number 37 (negated).

1487, 2447, 3391, 5839, 6367, 8147, 9803, 10739, 12343, 12583, 12967, 14767, 15259, 16927, 18947, 19403, 20011, 20147, 21139, 21587, 22807, 23371, 23627, 26731, 28283, 28307, 31699, 31723, 36691, 37171, 37243, 38371, 39139, 39451, 40531, 41659, 42283, 42443

Offset

1,1

Comments

Sequence contains 85 terms; largest is 158923.

The class group of Q[sqrt(-d)] is isomorphic to C_37 for all d in this sequence.

Links

Andy Huchala, Table of n, a(n) for n = 1..85

Mark Watkins, Class numbers of imaginary quadratic fields, Mathematics of Computation, 73, pp. 907-938.

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] == 37]

Crossrefs

Cf. A006203, A013658, A014602, A014603, A046002-A046020, A046125, A056987, A351664-A351680.

Sequence in context: A104742 A278853 A051260 * A317593 A257760 A237244

Adjacent sequences: A351672 A351673 A351674 * A351676 A351677 A351678

Keyword

nonn,fini,full

Author

Andy Huchala, Mar 27 2022

Status

approved