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math.NT2025
Local-global principle for 11-isogenies of elliptic curves is true over quadratic fields
Stevan Gajović, Jeroen Hanselman, Angelos Koutsianas
In this paper, we prove that the local-global principle of -isogenies for elliptic curves over quadratic fields does not fail. This gives a positive answer to a conjecture by B…
math.NT2018★ 1 cited
Ranks, -Selmer groups, and Tamagawa numbers of elliptic curves with -torsion
Stephanie Chan, Jeroen Hanselman, Wanlin Li
In 2016, Balakrishnan-Ho-Kaplan-Spicer-Stein-Weigandt produced a database of elliptic curves over ordered by height in which they computed the rank, the size of the $2…