A351676 Discriminants of imaginary quadratic fields with class number 38 (negated).

1199, 1535, 1671, 2031, 3047, 3415, 4916, 5127, 5528, 6423, 6548, 6559, 6927, 7016, 7091, 7135, 7444, 8276, 8315, 8651, 8939, 8983, 9179, 9487, 9524, 9659, 9727, 9908, 10216, 10715, 10779, 10984, 11432, 11463, 11507, 11915, 12779, 12904, 13667, 14099, 14164

Offset

1,1

Comments

Sequence contains 237 terms; largest is 289963.

The class group of Q[sqrt(-d)] is isomorphic to C_38 for all d in this sequence.

Links

Andy Huchala, Table of n, a(n) for n = 1..237

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] == 38]

Crossrefs

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

Sequence in context: A251993 A250379 A190833 * A137261 A252531 A043408

Adjacent sequences: A351673 A351674 A351675 * A351677 A351678 A351679

Keyword

nonn,fini,full

Author

Andy Huchala, Mar 27 2022

Status

approved