On non-congruent numbers with 1 modulo 4 prime factors
classification
🧮 math.NT
keywords
equiv1factorsnon-congruentnumbersprimetiancasescongruent
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In this paper, we use the 2-decent method to find a series of odd non-congruent numbers $\equiv1\pmod 8$ whose prime factors are $\equiv1\pmod4$ such that the congruent elliptic curves have second lowest Selmer groups, which includes Li and Tian's result (Li and Tian, 2000) as special cases.
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