plural of Heegner number

(mathematics) A squarefree positive integer d such that the imaginary quadratic field Q(√(−d)) has class number 1; equivalently, such that its ring of integers has unique factorization.

plural of Heegner point

(geometry) A point on a modular curve that is the image of a quadratic imaginary point of the upper half-plane.

(number theory) A theorem that states precisely which quadratic imaginary number fields admit unique factorization in their ring of integers.