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On the rank of elliptic curves with three rational points of order $2$, II

On the rank of elliptic curves with three rational points of order $2$, II

In this note, we prove.Theorem.There are infinitely many elliptic curves with rank >--5 over Q, which have 3 distinct non-trivial rational points of order 2.This improves the result of our previous paper [2], where we proved the theorem just as above with rank ">--4", however, instead of