Hilbert class polynomial

GPTKB entity

Statements (18)
Predicate Object
gptkbp:instanceOf gptkb:algebra
gptkb:mathematical_concept
gptkbp:application explicit class field theory
constructing elliptic curves with prescribed endomorphism ring
complex multiplication method in cryptography
gptkbp:coefficients integers
gptkbp:defines gptkb:Hilbert_class_field
gptkbp:degree equal to class number of imaginary quadratic field
gptkbp:field number theory
https://www.w3.org/2000/01/rdf-schema#label Hilbert class polynomial
gptkbp:namedAfter gptkb:David_Hilbert
gptkbp:relatedTo modular functions
imaginary quadratic fields
gptkbp:roots j-invariants of elliptic curves with complex multiplication by maximal order in imaginary quadratic field
gptkbp:usedIn class field theory
gptkbp:variant gptkb:j-invariant
gptkbp:bfsParent gptkb:j-invariant
gptkbp:bfsLayer 6