A351673 Discriminants of imaginary quadratic fields with class number 35 (negated).

1031, 1223, 2087, 2239, 2543, 4259, 4931, 5171, 5939, 6899, 7211, 7451, 7523, 8219, 8363, 8699, 9007, 9419, 10979, 11411, 11503, 12007, 14939, 15803, 16451, 16651, 17123, 18451, 19259, 20731, 22787, 23011, 24203, 24547, 26387, 26723, 28411, 33619, 36643

Offset

1,1

Comments

Sequence contains 103 terms; largest is 210907.

The class group of Q[sqrt(-d)] is isomorphic to C_35 for all d in this sequence.

Links

Andy Huchala, Table of n, a(n) for n = 1..103

Eric Weisstein's World of Mathematics, Class Number

Prog

(SageMath)
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] == 35]

Crossrefs

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

Sequence in context: A298910 A256075 A393149 * A061327 A023062 A035046

Adjacent sequences: A351670 A351671 A351672 * A351674 A351675 A351676

Keyword

nonn,fini,full

Author

Andy Huchala, Mar 25 2022

Status

approved