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MR561821 (81c:14014) 14H25 (10B05 14H45 14K20)
Schwartz, Charles F. The group of rational solutions of $y\sp{2}=x(x-1)(x-t\sp{2}-c)$. Trans. Amer. Math. Soc. 259 (1980), no. 1, 33–46.
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