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gptkbp:instanceOf
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Mathematical Object
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gptkbp:definedIn
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gptkb:Field
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gptkbp:dimensions
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1
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gptkbp:field
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gptkb:Mathematics
gptkb:algebraic_geometry
gptkb:Number_Theory
gptkb:Real_Numbers
Complex Numbers
Finite Fields
Rational Numbers
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gptkbp:genus
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1
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gptkbp:groupStructure
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Abelian Group
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gptkbp:hasApplication
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gptkb:Key_Exchange
gptkb:Elliptic_Curve_Cryptosystems
gptkb:Elliptic_Curve_Method_of_Factorization
gptkb:Elliptic_Curve_Primality_Proving
gptkb:Elliptic_Curve_Discrete_Logarithm_Problem
Zero-Knowledge Proofs
Public Key Cryptography
Digital Signatures
Hash Functions
Integer Factorization Algorithms
Pairing-based Cryptography
Primality Testing
Pseudorandom Number Generators
Random Number Generation
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gptkbp:hasEquation
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y^2 = x^3 + ax + b
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gptkbp:hasInvariant
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gptkb:lion
gptkb:j-invariant
Rank
Conductor
Discriminant
Endomorphism Ring
Torsion Subgroup
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gptkbp:hasPoint
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gptkb:Point_at_Infinity
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gptkbp:hasProperty
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Smooth Curve
Non-singular
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https://www.w3.org/2000/01/rdf-schema#label
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Elliptic Curves
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gptkbp:relatedTo
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gptkb:Mordell-Weil_Theorem
gptkb:Fermat's_Last_Theorem
gptkb:Birch_and_Swinnerton-Dyer_Conjecture
gptkb:Modular_Forms
gptkb:Taniyama-Shimura_Conjecture
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gptkbp:studiedBy
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gptkb:Andrew_Wiles
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gptkbp:usedIn
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gptkb:Elliptic_Curve_Cryptography
gptkb:Elliptic_Curve_Digital_Signature_Algorithm
gptkb:Elliptic_Curve_Diffie-Hellman
Cryptography
Integer Factorization
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gptkbp:bfsParent
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gptkb:Elliptic_Functions
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gptkbp:bfsLayer
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7
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