A351677 Discriminants of imaginary quadratic fields with class number 39 (negated).

1439, 2207, 2791, 3767, 3919, 4111, 5099, 5119, 6199, 6779, 9059, 9967, 10091, 10163, 10399, 10567, 10667, 11743, 12539, 13163, 13523, 14843, 14867, 15607, 16087, 16139, 16787, 17383, 18127, 21851, 23027, 24499, 26539, 27827, 30211, 30347, 30803, 32027, 32491

Offset

1,1

Comments

Sequence contains 115 terms; largest is 253507.

The class group of Q[sqrt(-d)] is isomorphic to C_39 for all d in this sequence.

Links

Andy Huchala, Table of n, a(n) for n = 1..115

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] == 39]

Crossrefs

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

Sequence in context: A204862 A227494 A352249 * A101798 A081426 A101998

Adjacent sequences: A351674 A351675 A351676 * A351678 A351679 A351680

Keyword

nonn,fini,full

Author

Andy Huchala, Mar 27 2022

Status

approved