# Modular Forms over Imaginary Quadratic Fields

- [Introduction](introduction.md)

  - [Algorithms](introduction.md#algorithms)

  - [Categories](introduction.md#categories)

  - [Verbose Output](introduction.md#verbose-output)

- [Creation](creation.md)

  - [`BianchiCuspForms(F, N): FldNum, RngOrdIdl → ModFrmBianchi`](creation.md#function-bianchicuspforms-fldnum-rngordidl)

- [Attributes](basic-properties.md)

  - [`BaseField(M): ModFrmBianchi → FldNum`](basic-properties.md#function-basefield-modfrmbianchi)

  - [`BaseRing(M): ModFrmBianchi → FldNum`](basic-properties.md#function-basering-modfrmbianchi)

  - [`CoefficientField(M): ModFrmBianchi → FldNum`](basic-properties.md#function-coefficientfield-modfrmbianchi)

  - [`CoefficientRing(M): ModFrmBianchi → FldNum`](basic-properties.md#function-coefficientring-modfrmbianchi)

  - [`Level(M): ModFrmBianchi → RngOrdIdl`](basic-properties.md#function-level-modfrmbianchi)

  - [`Dimension(M): ModFrmBianchi → RngIntElt`](basic-properties.md#function-dimension-modfrmbianchi)

  - [`VoronoiData(M): ModFrmBianchi → Rec`](basic-properties.md#function-voronoidata-modfrmbianchi)

  - [`Example: Creation Example`](basic-properties.md#example-ex-1ddde9)

- [Hecke Operators](hecke-operators.md)

  - [`HeckeOperator(M, P): ModFrmBianchi, RngOrdIdl → Mtrx`](hecke-operators.md#function-heckeoperator-modfrmbianchi-rngordidl)

  - [`Example: hecke`](hecke-operators.md#example-ex-72d295)

- [New Spaces and Newforms](bianchi-new.md)

  - [`NewSubspace(M): ModFrmBianchi → ModFrmBianchi`](bianchi-new.md#function-newsubspace-modfrmbianchi)

  - [`NewformDecomposition(M): ModFrmBianchi → List`](bianchi-new.md#function-newformdecomposition-modfrmbianchi)

  - [`Eigenform(M): ModFrmBianchi → ModFrmBianchiElt`](bianchi-new.md#function-eigenform-modfrmbianchi)