Hilbert Modular Forms#
- Introduction
- Creation of Full Cuspidal Spaces
- Caching Spaces of Modular Forms
- Basic Properties
BaseField(M): ModFrmHilBaseRing(M): ModFrmHilCoefficientField(M): ModFrmHilCoefficientRing(M): ModFrmHilWeight(M): ModFrmHil → SeqEnum[RngIntElt]CentralCharacter(M): ModFrmHil → RngIntEltLevel(M): ModFrmHil → RngOrdIdlDirichletCharacter(M): ModFrmHil → GrpDrchNFEltIsCuspidal(M): ModFrmHil → BoolEltIsNew(M): ModFrmHil → BoolEltNewLevel(M): ModFrmHil → RngOrdIdlDimension(M): ModFrmHil → RngIntEltQuaternionOrder(M): ModFrmHil → AlgAssVOrdIsDefinite(M): ModFrmHil → BoolEltExample: Basic Example
- Elements
- Operators
- Creation of Subspaces
- Eigenspace Decomposition and Eigenforms
HeckeEigenvalueBound(M, P): ModFrmHil, RngOrdIdl → RngIntEltNewformDecomposition(M): ModFrmHil → ListNewformsOfDegree1(M): ModFrmHil → ListEigenform(M): ModFrmHil → ModFrmHilEltEigenforms(M): ModFrmHil → ListHeckeEigenvalueField(M): ModFrmHil → FldHeckeEigenvalue(f, P): ModFrmHilElt, RngOrdIdl → FldAlgEltExample: Eigenform Examples
- Further Examples