Last Updated :2025/11/28

elliptic curve

Noun
Japanese Meaning
代数幾何学において、ある体上で定義される、ある変数の二乗が別の変数の既約三次多項式に等しい形の方程式が表す代数集合。なお、この既約三次多項式の判別式がゼロでないことが条件となる。
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その論文は、体上で y^2 = f(x) と表され、f(x) が判別式が非ゼロの既約3次多項式であるような代数集合(楕円曲線)の有理点を計算する新しいアルゴリズムを提示している。

plural

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(algebraic geometry) The algebraic set of an equation which equates the square of one variable to a reduced cubic polynomial in another variable, over some field, and such that the discriminant of the reduced cubic is non-zero.

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elliptic curve

The paper presents a new algorithm to compute rational points on an elliptic curve defined over a field.

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The paper presents a new algorithm to compute rational points on an elliptic curve defined over a field.

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