nonsingular curve

C19256
concept

A nonsingular curve is an algebraic curve with no singular points, meaning it is smooth everywhere and has a well-defined tangent line at every point.

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All labels observed (7)

Label Occurrences
elliptic curve 9
ECDSA curve 1
complex curve 1

Description generation (CDg)

The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.

Instruction
generate a one-sentence description for a given conceptual class.
# Response Format
Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: nonsingular curve
Generated description
A nonsingular curve is an algebraic curve with no singular points, meaning it is smooth everywhere and has a well-defined tangent line at every point.

Instances (14)

Instance Via concept surface
Fermat curve —
Bernoulli lemniscate figure-eight curve
Louis Mordell
surface form: Mordell curve
elliptic curve
Mordell curve elliptic curve
secp256k1 elliptic curve
Weierstrass form elliptic curve model
Twisted Edwards curve elliptic curve
Curve448 elliptic curve
P-384 elliptic curve
P-521 elliptic curve
Seiberg–Witten curve complex curve
Tate curve elliptic curve
Weierstrass points
surface form: Weierstrass point
point on algebraic curve
Frey curve elliptic curve