Tate's algorithm

GPTKB entity

Statements (22)
Predicate Object
gptkbp:instanceOf gptkb:algorithm
gptkbp:appliesTo elliptic curves
gptkbp:field gptkb:mathematics
number theory
arithmetic geometry
https://www.w3.org/2000/01/rdf-schema#label Tate's algorithm
gptkbp:input Weierstrass equation of an elliptic curve
gptkbp:introducedIn 1975
gptkbp:inventedBy gptkb:John_Tate
gptkbp:output gptkb:Kodaira_symbol
conductor exponent
gptkbp:publishedIn gptkb:Inventiones_Mathematicae
gptkbp:purpose to determine the type of reduction of an elliptic curve over a local field
gptkbp:relatedTo gptkb:Néron_model
gptkb:Kodaira–Néron_classification
minimal discriminant
reduction types of elliptic curves
gptkbp:usedIn computation of Tamagawa numbers
computation of minimal models
study of local properties of elliptic curves
gptkbp:bfsParent gptkb:John_T._Tate
gptkbp:bfsLayer 5