In this paper we determine the quadratic points on the modular curves X 0 ( N ) X_0(N) , where the curve is non-hyperelliptic, the genus is 3 3 , 4 4 , or 5 5 , and the Mordell–Weil group of J 0 ( N ) J_0(N) is finite. The values of N N are 34 34 , 38 38 , 42 42 , 44 44 , 45 45 , 51 51 , 52 52 , 54 54 , 55 55 , 56 56 , 63 63 , 64 64 , 72 72 , <i
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Özman et al. (2018) studied this question.