A032354 j-invariants for orders of class number 1.

0, 1728, -3375, 8000, -32768, 54000, 287496, -884736, -12288000, 16581375, -884736000, -147197952000, -262537412640768000

Offset: 0

Author

N. J. A. Sloane

Keywords

• sign
• fini
• full

Comments

This sequence may also be written as [0, 12^3, -15^3, 20^3, -32^3, 2*30^3, 66^3, -96^3, -3*160^3, 255^3, -960^3, -5280^3, -640320^3]. Compare A267195. - N. J. A. Sloane, Jan 27 2016

References

• H. Cohn, Introduction to the Construction of Class Fields, Cambridge; p. 183.
• D. A. Cox, Primes of the form x^2+ny^2, Wiley, p. 261.

Crossrefs

See A267195 for (essentially) the cube roots of these numbers.

See A133675 (times -1) for the corresponding discriminants.