 Home

Codex Wiki

Mathematics

Area of mathematics

Geometry and topology

Algebraic geometry

Normalization of an algebraic curve

Geometric genus

Genus one curve

Elliptic curve

Isogeny of elliptic curves

{title2=$\operatorname{tr}(\phi)$}

For $\phi\in\operatorname{End}(E)$, its trace is the integer characterized by
$$
\phi+\widehat\phi=[\operatorname{tr}(\phi)].
$$
Equivalently, $\operatorname{tr}(\phi)=1+\deg\phi-\deg(1-\phi)$.


Trace of an elliptic-curve endomorphism

Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 125 / 2 / a / Solution

Trace of an elliptic-curve endomorphism ( $tr (ϕ)$ )

 Ancestors (10)

 Incoming links (1)

 Discussion (0)

 Articles by others on the same topic (0)

Trace of an elliptic-curve endomorphism (tr(ϕ))

 Ancestors (10)

 Incoming links (1)

 Discussion (0)  Subscribe (1)

 Articles by others on the same topic (0)

Trace of an elliptic-curve endomorphism ( $tr (ϕ)$ )

 Discussion (0)