Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Algebraic curve
|
| gptkbp:compact |
Adding cusps
|
| gptkbp:containsGenus |
Depends on level N
|
| gptkbp:definedIn |
gptkb:Complex_numbers
Quotient of upper half-plane by modular group |
| gptkbp:example |
X(N)
X_0(N) X_1(N) |
| gptkbp:field |
gptkb:Mathematics
|
| gptkbp:hasCompactification |
Yes
|
| gptkbp:hasModuliInterpretation |
Parametrizes elliptic curves with level structure
|
| gptkbp:hasRationalPoints |
Yes
|
| https://www.w3.org/2000/01/rdf-schema#label |
Modular curve
|
| gptkbp:notablePerson |
gptkb:Yutaka_Taniyama
gptkb:André_Weil gptkb:Andrew_Wiles gptkb:Jean-Pierre_Serre gptkb:Goro_Shimura gptkb:Barry_Mazur |
| gptkbp:relatedTo |
gptkb:Modular_group
gptkb:Modular_form gptkb:Congruence_subgroup Elliptic curve |
| gptkbp:studiedIn |
gptkb:Number_theory
gptkb:Algebraic_geometry |
| gptkbp:usedIn |
Proof of Fermat's Last Theorem
|
| gptkbp:bfsParent |
gptkb:Modular_form
|
| gptkbp:bfsLayer |
5
|