Diophantine equations, class groups and non-congruent numbers
Diophantine equations, class groups and non-congruent numbers
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DOI：
10.1007/s11139-023-00742-0
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发表时间：
2023-07
期刊：
影响因子：
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通讯作者：
Gui-Dong Li;H. Qin
中科院分区：
文献类型：
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作者：
Gui-Dong Li;H. Qin
本文通过研究虚二次数域类群的8-秩和全等椭圆曲线的齐次空间，得到了一些非全等数。我们也给出了一些关于类群的非全等数的判别准则。
In this paper, we obtain some non-congruent numbers by studying the 8-ranks of the class groups of imaginary quadratic number fieldsand the homogeneous spaces of congruent elliptic curves. We also give some criteria for non-congruent numbers in terms of class groups.