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math.NT2025
Selmer groups of families of elliptic curves with an -isogeny
Stephanie Chan, Matteo Verzobio
For certain families of elliptic curves admitting a rational isogeny of prime degree , we establish a central limit theorem for the Tamagawa ratio and derive bounds on its av…
math.NT2025
Number fields generated by points in linear systems on curves
Irmak Balçik, Stephanie Chan, Yuan Liu +1
We develop techniques for determining the fibers of a morphism of curves over a nonarchimedean local field . These results have applications to studying closed poin…