Triple
T26254133
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | modular j-invariant |
E656674
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | invariant of elliptic curves |
C29200
|
CONCEPT FINISHED |
How this triple was built (1 step)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: invariant of elliptic curves Context triple: [modular j-invariant, instanceOf, invariant of elliptic curves]
-
A.
curve over the rational numbers
A curve over the rational numbers is an algebraic curve defined by polynomial equations with rational coefficients, considered together with its set of rational solutions and their arithmetic properties.
-
B.
object in invariant theory
chosen
An object in invariant theory is a mathematical entity, such as a vector space, polynomial ring, or group action, whose structure and symmetries are studied through the functions or quantities that remain unchanged under a specified group of transformations.
-
C.
result in arithmetic geometry
A result in arithmetic geometry is a theorem or proposition that connects number-theoretic properties of solutions to polynomial equations with the geometric structure of the varieties they define over arithmetic fields.
-
D.
method in the theory of elliptic integrals
A method in the theory of elliptic integrals is a systematic procedure or algorithm used to evaluate, transform, or approximate elliptic integrals and to analyze their properties and relationships.
-
E.
endomorphism of modular forms space
An endomorphism of a modular forms space is a linear self-map of a given space of modular forms (typically of fixed weight, level, and character) that sends each modular form in the space to another modular form in the same space.
- F. None of above.
Provenance (1 batch)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69ee5b4d25ac819086acb51184602576 |
completed | April 26, 2026, 6:37 p.m. |
Created at: April 26, 2026, 9:08 p.m.