Let $H$ be the upper half plane and $j$ the $j$-invariant. A singular modulus is a number of the form $j(\tau)$ for an imaginary quadratic $\tau \in H$. This list contains all rational singula moduli.
Parameters
$\Delta$
— Discriminant
Comments
(1)
$\Delta$ is the associated discriminant of the complex multiplication order $\mathcal{O} = \text{End}\langle\tau,1\rangle$.
Programs
(P1)
Sage
numbers = {d*f^2: j for d, f, j in cm_j_invariants_and_orders(QQ)}
