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Subindex: EliminateGenerators  ..  elliptic-curve-fldfin


EliminateGenerators

   EliminateGenerators(~P: parameters) : GrpFPTietzeProc ->
   Eliminate(~P: parameters) : GrpFPTietzeProc ->

EliminateRedundancy

   EliminateRedundancy(~P) : GrpPCpQuotientProc ->

Elimination

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

elimination

   Construction of Elimination Ideals (POLYNOMIAL RING IDEAL OPERATIONS)
   Elimination (POLYNOMIAL RING IDEAL OPERATIONS)
   Univariate Elimination Ideal Generators (POLYNOMIAL RING IDEAL OPERATIONS)

elimination-ideal

   Construction of Elimination Ideals (POLYNOMIAL RING IDEAL OPERATIONS)

EliminationIdeal

   EliminationIdeal(I, k: parameters) : RngMPol, RngIntElt -> RngMPol
   EliminationIdeal(I, S) : RngMPol, { RngIntElt } -> RngMPol
   Ideal_EliminationIdeal (Example H106E6)

elinvar

   RngLoc_elinvar (Example H47E5)

ell-exp

   CrvEllQNF_ell-exp (Example H122E25)

ell_crv_norm

   Sheaf_ell_crv_norm (Example H113E7)

ell_mod

   QuadBin_ell_mod (Example H33E2)

ellcrv

   Elliptic Curves (MODULAR ABELIAN VARIETIES)

Ellcrv-Creation

   ModAbVar_Ellcrv-Creation (Example H136E122)

Ellcrv-Invariants

   ModAbVar_Ellcrv-Invariants (Example H136E123)

ellfunfld1

   CrvEllFldFun_ellfunfld1 (Example H123E4)

Elliptic

   AssociatedHyperellipticCurve(qi) : Crv -> CrvHyp, Map
   AssociatedEllipticCurve(qi) : Crv -> CrvEll, Map
   AssociatedEllipticCurve(f) : RngUPolElt -> CrvEll, Map
   EllipticCurve(C) : Crv -> CrvEll, MapSch
   EllipticCurve(C, pl) : Crv, PlcCrvElt -> CrvEll, MapSch
   EllipticCurve(C, P) : Crv, Pt -> CrvEll, MapSch
   EllipticCurve(D, S): DB, MonStgElt -> CrvEll
   EllipticCurve(D, N, I, J): DB, RngIntElt, RngIntElt, RngIntElt -> CrvEll
   EllipticCurve(H) : HypGeomData -> CrvEll
   EllipticCurve(A) : ModAbVar -> CrvEll
   EllipticCurve(f) : ModFrmElt -> CrvEll
   EllipticCurve(M) : ModSym -> CrvEll
   EllipticCurve(f) : RngUPolElt -> CrvEll
   EllipticCurve(C) : Sch -> CrvEll, MapSch
   EllipticCurve([a, b]) : [ RngElt ] -> CrvEll
   EllipticCurveDatabase(: parameters) : -> DB
   EllipticCurveFromPeriods(om: parameters) : [ FldComElt ] -> CrvEll
   EllipticCurveFromjInvariant(j) : RngElt -> CrvEll
   EllipticCurveSearch(N, Effort) : RngOrdIdl, RngIntElt -> SeqEnum
   EllipticCurveSearch(N, Effort) : [], RngIntElt -> SeqEnum
   EllipticCurves(D) : DB -> [ CrvEll ]
   EllipticCurves(D, S) : DB, MonStgElt -> [ CrvEll ]
   EllipticCurves(D, N) : DB, RngIntElt -> [ CrvEll ]
   EllipticCurves(D, N, I) : DB, RngIntElt, RngIntElt -> [ CrvEll ]
   EllipticExponential(E, z) : CrvEll, FldComElt -> [ FldComElt ]
   EllipticExponential(E, S) : CrvEll, FldRatElt -> [ FldComElt ]
   EllipticInvariants(G) : GrpPSL2 -> SeqEnum
   EllipticInvariants(A, n) : ModAbVar, RngIntElt -> FldReElt, FldReElt, FldReElt, CrvEll
   EllipticLogarithm(E, S): CrvEll, [ FldComElt ] -> FldComElt
   EllipticLogarithm(P: parameters): PtEll[FldRat] -> FldComElt
   EllipticPeriods(A, n) : ModAbVar, RngIntElt -> FldReElt, FldReElt
   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
   RandomEllipticFibration_d10g10(P) : Prj -> Srfc
   RandomEllipticFibration_d7g6(P) : Prj -> Srfc
   RandomEllipticFibration_d8g7(P) : Prj -> Srfc
   RandomEllipticFibration_d9g7(P) : Prj -> Srfc
   SupersingularEllipticCurve(K) : FldFin -> CrvEll
   pAdicEllipticLogarithm(P, p: parameters): PtEll, RngIntElt -> FldLocElt

elliptic

   Cusps and Elliptic Points of Congruence Subgroups (CONGRUENCE SUBGROUPS OF PSL2(R))
   Elliptic and Modular Functions (REAL AND COMPLEX FIELDS)
   Elliptic Curve Chabauty (ELLIPTIC CURVES OVER Q AND NUMBER FIELDS)
   ELLIPTIC CURVES
   Elliptic Curves (MODULAR SYMBOLS)
   ELLIPTIC CURVES OVER FINITE FIELDS
   ELLIPTIC CURVES OVER FUNCTION FIELDS
   ELLIPTIC CURVES OVER Q AND NUMBER FIELDS

elliptic-curve

   ELLIPTIC CURVES

elliptic-curve-chabauty

   Elliptic Curve Chabauty (ELLIPTIC CURVES OVER Q AND NUMBER FIELDS)

elliptic-curve-fldfin

   ELLIPTIC CURVES OVER FINITE FIELDS

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Version: V2.19 of Wed Apr 24 15:09:57 EST 2013