Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants
Abstract
We prove that there exist infinitely many pairs of non-isomorphic elliptic curves over Q sharing the same BSD invariants -- including their Mordell--Weil groups, Tate--Shafarevich groups, Tamagawa numbers, regulators, and real periods -- and their Kodaira symbols and minimal discriminants, while having distinct j-invariants.
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