Tate curve

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:elliptic_curve
gptkbp:definedIn local field
gptkbp:fieldOfStudy gptkb:algebraic_geometry
number theory
gptkbp:hasProperty non-archimedean analytic uniformization
https://www.w3.org/2000/01/rdf-schema#label Tate curve
gptkbp:introducedIn 1970s
gptkbp:isomorphicTo quotient of multiplicative group by q^Z
gptkbp:namedAfter gptkb:John_Tate
gptkbp:parameter q with 0 < |q| < 1
gptkbp:relatedTo gptkb:p-adic_uniformization
gptkbp:usedFor explicit description of Galois representations
study of modular forms
gptkbp:usedIn study of elliptic curves with bad reduction
gptkbp:bfsParent gptkb:John_Tate
gptkbp:bfsLayer 4