Papers › A Local-global principle for isogenies of composite degree
A Local-global principle for isogenies of composite degree
Isabel Vogt
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Let E be an elliptic curve over a number field K. If for almost all primes of K, the reduction of E modulo that prime has rational cyclic isogeny of fixed degree, we can ask if this forces E to have a cyclic isogeny of that degree over K. Building upon the work of Sutherland, Anni, and Banwait-Cremona in the case of prime degree, we consider this question for cyclic isogenies of arbitrary degree.
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