Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
modular group
|
| gptkbp:alsoKnownAs |
j-line
|
| gptkbp:automorphismGroup |
PGL(2, Q)
|
| gptkbp:coarseModuliSpaceOf |
elliptic curves
|
| gptkbp:compact |
projective line
|
| gptkbp:coordinates |
gptkb:j-invariant
|
| gptkbp:definedIn |
rational numbers
|
| gptkbp:dimensions |
1
|
| gptkbp:field |
gptkb:Q
|
| gptkbp:functionField |
rational function field in j
|
| gptkbp:genus |
0
|
| gptkbp:hasCusp |
infinity
|
| https://www.w3.org/2000/01/rdf-schema#label |
modular curve X(1)
|
| gptkbp:isAlgebraicCurve |
yes
|
| gptkbp:isQuotientOf |
upper half-plane by SL(2, Z)
|
| gptkbp:isRiemannSurface |
yes
|
| gptkbp:modularInterpretation |
classifies elliptic curves up to isomorphism
|
| gptkbp:parametrizes |
isomorphism classes of elliptic curves
|
| gptkbp:relatedTo |
modular curve X_0(N)
modular curve X_1(N) |
| gptkbp:bfsParent |
gptkb:j-invariant
|
| gptkbp:bfsLayer |
6
|