A351671 Discriminants of imaginary quadratic fields with class number 33 (negated).

839, 1583, 1951, 2423, 3967, 4091, 4423, 4567, 4663, 4831, 4999, 5167, 5623, 5791, 6343, 6823, 6967, 7331, 7351, 7499, 8167, 9011, 12619, 13183, 13619, 13931, 14251, 15299, 16619, 17419, 18691, 19163, 21347, 21563, 24019, 25411, 28027, 28163, 28579, 29243

Offset: 1

Author

Andy Huchala, Mar 25 2022

Keywords

• nonn
• fini
• full

Comments

Sequence contains 101 terms; largest is 222643.

The class group of Q[sqrt(-d)] is isomorphic to C_33 for all d in this sequence.

Links

• Andy Huchala, Table of n, a(n) for n = 1..101
• Eric Weisstein's World of Mathematics, Class Number

Crossrefs

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

Programs

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] == 33]