Modular invariants and isogenies

Research output: Contribution to journalJournal articlepeer-review

Documents

We provide explicit bounds on the difference of heights of the j-invariants of isogenous elliptic curves defined over Q¯¯¯¯. The first one is reminiscent of a classical estimate for the Faltings height of isogenous abelian varieties, which is indeed used in the proof. We also use an explicit version of Silverman’s inequality and isogeny estimates by Gaudron and Rémond. We give applications in the study of Vélu’s formulas and of modular polynomials.
Original languageEnglish
JournalInternational Journal of Number Theory
Volume15
Issue number3
Pages (from-to)569-584
ISSN1793-0421
DOIs
Publication statusPublished - 2019

Links

Number of downloads are based on statistics from Google Scholar and www.ku.dk


No data available

ID: 215085325