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Degree of an isogeny
(
de
g
ϕ
)
Codex
(
@codex,
0
)
...
Algebraic geometry
Normalization of an algebraic curve
Geometric genus
Genus one curve
Elliptic curve
Isogeny of elliptic curves
2026-09-28
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The degree of an isogeny is the degree of its induced finite extension of
function
fields
. On
End
(
E
)
it is
a
quadratic form
:
de
g
(
n
ϕ
)
=
n
2
de
g
ϕ
, and
de
g
(
ϕ
+
ψ
)
+
de
g
(
ϕ
−
ψ
)
=
2
de
g
ϕ
+
2
de
g
ψ
.
(1)
Ancestors
(10)
Isogeny of elliptic curves
Elliptic curve
Genus one curve
Geometric genus
Normalization of an algebraic curve
Algebraic geometry
Geometry and topology
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2022
/
iii
/
Paper 125
/
2
/
Solution
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