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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Ouyang, Y., Zhang, S. On non-congruent numbers with 1 modulo 4 prime factors. Sci. China Math. 57, 649–658 (2014). https://doi.org/10.1007/s11425-013-4705-y
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DOI: https://doi.org/10.1007/s11425-013-4705-y