Mordell's theorem for elliptic curves
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
elliptic curves over the rationals
|
| gptkbp:author |
gptkb:Louis_Mordell
|
| gptkbp:field |
gptkb:algebraic_geometry
number theory |
| gptkbp:generalizes |
gptkb:Mordell–Weil_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Mordell's theorem for elliptic curves
|
| gptkbp:implies |
rational points on elliptic curves form a finitely generated abelian group
|
| gptkbp:namedAfter |
gptkb:Louis_Mordell
|
| gptkbp:relatedConcept |
rank of an elliptic curve
torsion subgroup of elliptic curve |
| gptkbp:sentence |
The group of rational points on an elliptic curve over the rationals is finitely generated.
|
| gptkbp:yearProved |
1922
|
| gptkbp:bfsParent |
gptkb:Mordell-Weil_Theorem
|
| gptkbp:bfsLayer |
8
|