Engineering↗
Complex Multiplication and Class Numbers
The link between curves with complex multiplication and class groups of imaginary quadratic orders, and the Hilbert class polynomial.
Every page in the KEVOS library tagged J-invariant. 4 pages.
The link between curves with complex multiplication and class groups of imaginary quadratic orders, and the Hilbert class polynomial.
Modular functions, modular equations relating j-invariants of isogenous curves, and their use in locating isogenies.
General and short Weierstrass forms, the discriminant and j-invariant, and the transformations relating equivalent models.
Weierstrass forms, the discriminant and j-invariant, the group law with explicit formulas, torsion, and the structure of the group of points over finite fields.