Strong Selmer companion elliptic curves

2020/07/17 by Ching-Heng Chiu · 2 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic number field #Analytic Number Theory Research #Computer science #Discrete mathematics #Elliptic curve #Extension (predicate logic) #Field (mathematics) #Mathematics #Pure mathematics #Supersingular elliptic curve

paper · pdf · doi:10.1016/j.jnt.2020.06.013

published in Journal of Number Theory 217, 376-421 (Elsevier BV)

openalex publication_date 2020/07/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Citations

• Propri�t�s galoisiennes des points d'ordre fini des courbes elliptiques
• Finding large Selmer rank via an arithmetic theory of local constants
• Disparity in Selmer ranks of quadratic twists of elliptic curves

Cited by

• p-twisted Selmer near-companion curves
• Non-isomorphic abelian varieties with the same arithmetic. [europepmc]