Bases normales d'entiers et unités modulaires

LetK be an imaginary quadratic field with discriminantd _K <−4,d _K ≡2, 3 mod 4, andp a prime number,p≡1 mod 8,p split inK; let Ω _p be the ring class field overK with conductorp andK(p) the ray class field overK with conductorp. An explicit normal basis is constructed for the ring of integers of the unique quadratic extension of Ω _p contained inK(p) over the ring of integers of Ω _p . This uses certain classical modular units considered by Deuring and Hecke.