Isogenies of Elliptic Curves Over Function Fields

نویسندگان

چکیده

Abstract We prove two theorems concerning isogenies of elliptic curves over function fields. The first one describes the variation height $j$-invariant in an isogeny class. second is “isogeny estimate,” providing explicit bound on degree a minimal between isogenous curves. also give several corollaries these results.

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ژورنال

عنوان ژورنال: International Mathematics Research Notices

سال: 2021

ISSN: ['1687-0247', '1073-7928']

DOI: https://doi.org/10.1093/imrn/rnab033