On non-congruent numbers with 1 modulo 4 prime factors |
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| Authors: | Yi Ouyang ShenXing Zhang |
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| Affiliation: | 1. Wu Wen-Tsun Key Laboratory of Mathematics, School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, China
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| Abstract: | In this paper, we use the 2-descent method to find a series of odd non-congruent numbers ≡ 1 (mod 8) whose prime factors are ≡ 1 (mod 4) such that the congruent elliptic curves have second lowest Selmer groups, which include Li and Tian’s result as special cases. |
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| Keywords: | non-congruent number -descent second -descent |
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