Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:algebraic_geometry
gptkb:elliptic_curve |
| gptkbp:canBe |
zero
positive integer arbitrarily large for elliptic curves over Q |
| gptkbp:describes |
rank of the group of rational points
|
| gptkbp:field |
gptkb:algebraic_geometry
number theory |
| gptkbp:heldBy |
the rank of the finitely generated abelian group of rational points on an abelian variety over a number field
the number of independent infinite order rational points the free rank of the abelian group of rational points |
| https://www.w3.org/2000/01/rdf-schema#label |
Mordell–Weil rank
|
| gptkbp:namedAfter |
gptkb:André_Weil
gptkb:Louis_Mordell |
| gptkbp:notation |
rank(A(K))
|
| gptkbp:relatedTo |
gptkb:Mordell–Weil_theorem
|
| gptkbp:used_in |
gptkb:Birch_and_Swinnerton-Dyer_conjecture
study of rational points on elliptic curves |
| gptkbp:bfsParent |
gptkb:Mordell–Weil_group
|
| gptkbp:bfsLayer |
6
|