rationalPointsProperty
P64879
predicate
Indicates that a mathematical object (typically a variety or curve) has a specified property concerning its rational points, such as their existence, distribution, or structure over a given field.
Observed surface forms (2)
| Surface form | Occurrences |
|---|---|
| hasRationalPoints | 1 |
| hasRationalPointsForming | 1 |
Sample triples (3)
| Subject | Object |
|---|---|
| Fermat curve | for n ≥ 4 has only trivial rational points (by Fermat’s Last Theorem) ⓘ |
| Mordell curve | finitely generated abelian group via predicate surface "hasRationalPointsForming" ⓘ |
| Mordell curve | solutions (x,y) ∈ ℚ² of y^2 = x^3 + k via predicate surface "hasRationalPoints" ⓘ |