Isogenies of Elliptic Curves Over Function Fields
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Isogenies of Elliptic Curves Over Function Fields. / Griffon, Richard; Pazuki, Fabien.
I: International Mathematics Research Notices, Bind 2022, Nr. 19, 2022, s. 14697–14740.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Isogenies of Elliptic Curves Over Function Fields
AU - Griffon, Richard
AU - Pazuki, Fabien
PY - 2022
Y1 - 2022
N2 - We prove two theorems concerning isogenies of elliptic curves over function fields. The first one describes the variation of the height of the j-invariant in an isogeny class. The second one is an “isogeny estimate,” providing an explicit bound on the degree of a minimal isogeny between two isogenous elliptic curves. We also give several corollaries of these two results.
AB - We prove two theorems concerning isogenies of elliptic curves over function fields. The first one describes the variation of the height of the j-invariant in an isogeny class. The second one is an “isogeny estimate,” providing an explicit bound on the degree of a minimal isogeny between two isogenous elliptic curves. We also give several corollaries of these two results.
U2 - 10.1093/imrn/rnab033
DO - 10.1093/imrn/rnab033
M3 - Journal article
VL - 2022
SP - 14697
EP - 14740
JO - International Mathematics Research Notices
JF - International Mathematics Research Notices
SN - 1073-7928
IS - 19
ER -
ID: 305702043