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Subindex: ElementType  ..  EllipticCurveFromjInvariant


ElementType

   ElementType(S) : Str -> Cat

Elias

   EliasAsymptoticBound(K, delta) : FldFin, FldPrElt -> FldPrElt
   EliasBound(K, n, d) : FldFin, RngIntElt, RngIntElt -> RngIntElt

EliasAsymptoticBound

   EliasAsymptoticBound(K, delta) : FldFin, FldPrElt -> FldPrElt

EliasBound

   EliasBound(K, n, d) : FldFin, RngIntElt, RngIntElt -> RngIntElt

Eliece

   McElieceEtAlAsymptoticBound(delta) : FldPrElt -> FldPrElt

elif

   The if statement (OVERVIEW)

elim

   Elimination (k): elim (IDEAL THEORY AND GRÖBNER BASES)
   Elimination List: elim (IDEAL THEORY AND GRÖBNER BASES)

elim-k

   Elimination (k): elim (IDEAL THEORY AND GRÖBNER BASES)

elim-list

   Elimination List: elim (IDEAL THEORY AND GRÖBNER BASES)

Eliminate

   Eliminate(u, x, v) : GrpFPElt, GrpFPElt, GrpFPElt -> GrpFPElt
   Eliminate(~P: parameters) : Process(Tietze) ->
   Eliminate(u, x, v) : SgpFPElt, SgpFPElt, SgpFPElt -> SgpFPElt
   Eliminate(U, x, v) : { GrpFPElt }, GrpFPElt, GrpFPElt -> { GrpFPElt }
   EliminateRedundancy(~P) : Process(pQuot) ->

EliminateGenerators

   EliminateGenerators(~P: parameters) : Process(Tietze) ->
   Eliminate(~P: parameters) : Process(Tietze) ->

EliminateRedundancy

   EliminateRedundancy(~P) : Process(pQuot) ->

Elimination

   Elimination(X,V) : Sch,SeqEnum -> Sch
   EliminationIdeal(I, k: parameters) : RngMPol, RngIntElt -> RngMPol
   EliminationIdeal(I, S) : RngMPol, { RngIntElt } -> RngMPol
   UnivariateEliminationIdealGenerator(I, i) : RngMPol, RngIntElt -> RngMPolElt
   UnivariateEliminationIdealGenerators(I) : RngMPol -> [ RngMPolElt ]

elimination

   Construction of Elimination Ideals (IDEAL THEORY AND GRÖBNER BASES)
   Elimination (IDEAL THEORY AND GRÖBNER BASES)
   Univariate Elimination Ideal Generators (IDEAL THEORY AND GRÖBNER BASES)

elimination-ideal

   Construction of Elimination Ideals (IDEAL THEORY AND GRÖBNER BASES)

EliminationIdeal

   EliminationIdeal(I, k: parameters) : RngMPol, RngIntElt -> RngMPol
   EliminationIdeal(I, S) : RngMPol, { RngIntElt } -> RngMPol
   GB_EliminationIdeal (Example H47E12)

elinvar

   RngLoc_elinvar (Example H61E5)

Elliptic

   EllipticCurveDatabase(: parameters) : -> DB
   CremonaDatabase(: parameters) : -> DB
   EllipticCurve(C, pl) : Crv, PlcCrvElt -> CrvEll, MapSch
   EllipticCurve(C,p) : Crv, Pt -> CrvEll, Map, Map
   EllipticCurve(C, P) : Crv, Pt -> CrvEll, MapSch
   EllipticCurve(D, S): DB, RngIntElt, MonStgElt -> CrvEll
   EllipticCurve(D, N, I, J): DB, RngIntElt, RngIntElt, RngIntElt -> CrvEll
   EllipticCurve(f) : ModFrmElt -> CrvEll
   EllipticCurve(f) : RngUPolElt -> CrvEll
   EllipticCurve(C) : Sch -> CrvEll, MapSch
   EllipticCurve([a, b]) : [ RngElt ] -> CrvEll
   EllipticCurveFromjInvariant(j) : RngElt -> CrvEll
   EllipticCurves(D) : DB -> [ CrvEll ]
   EllipticCurves(D, S) : DB, MonStgElt -> [ CrvEll ]
   EllipticCurves(D, N) : DB, RngIntElt -> [ CrvEll ]
   EllipticCurves(D, N, I) : DB, RngIntElt, RngIntElt -> [ CrvEll ]
   EllipticLogarithm(P: parameters): PtEll -> FldPrElt
   EllipticPoints(G) : GrpPSL2, SpcHyp -> [SpcHypElt]
   IsEllipticCurve(C) : CrvHyp -> BoolElt, CrvEll, MapIsoSch, MapIsoSch
   IsEllipticCurve(C) : CrvHyp -> BoolElt, CrvEll, MapIsoSch, MapIsoSch
   IsEllipticCurve([a, b]) : [ RngElt ] -> BoolElt, CrvEll
   IsEllipticWeierstrass(C) : Crv -> BoolElt
   SupersingularEllipticCurve(K) : FldFin -> CrvEll
   pAdicEllipticLogarithm(P, p: parameters): PtEll, RngIntElt -> FldLocElt

elliptic

   Combinatorial and Geometrical Structures (OVERVIEW)
   Cusps and elliptic points of congruence subgroups (SUBGROUPS OF PSL_2(R))
   Elliptic and Modular Functions (REAL AND COMPLEX FIELDS)
   ELLIPTIC CURVES
   Elliptic Curves (MODULAR SYMBOLS)

elliptic-curve

   IsogeniesAreEqual(I, J) : Map, Map -> BoolElt
   ELLIPTIC CURVES

elliptic-curves

   Elliptic Curves (MODULAR SYMBOLS)

elliptic-modular

   Elliptic and Modular Functions (REAL AND COMPLEX FIELDS)

elliptic_logs

   Periods and Elliptic Logarithms (ELLIPTIC CURVES)

EllipticCurve

   EllipticCurve(C, pl) : Crv, PlcCrvElt -> CrvEll, MapSch
   EllipticCurve(C,p) : Crv, Pt -> CrvEll, Map, Map
   EllipticCurve(C, P) : Crv, Pt -> CrvEll, MapSch
   EllipticCurve(D, S): DB, RngIntElt, MonStgElt -> CrvEll
   EllipticCurve(D, N, I, J): DB, RngIntElt, RngIntElt, RngIntElt -> CrvEll
   EllipticCurve(f) : ModFrmElt -> CrvEll
   EllipticCurve(f) : RngUPolElt -> CrvEll
   EllipticCurve(C) : Sch -> CrvEll, MapSch
   EllipticCurve([a, b]) : [ RngElt ] -> CrvEll
   AlgAff_EllipticCurve (Example H48E3)

EllipticCurveDatabase

   EllipticCurveDatabase(: parameters) : -> DB
   CremonaDatabase(: parameters) : -> DB

EllipticCurveFromjInvariant

   EllipticCurveWithjInvariant(j) : RngElt -> CrvEll
   EllipticCurveFromjInvariant(j) : RngElt -> CrvEll


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