Abstract

Let d > 0 d > 0 be the discriminant of a complex quadratic field of class-number h ( d ) h(d) . In a previous paper the author has effectively shown how to find all d with h ( d ) = 2 h(d) = 2 . In this paper, it is proved that, if h ( d ) = 2 h(d) = 2 , then | d | ⩽ 427 |d|\; \leqslant 427 .

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