On second 2-descent and non-congruent numbers

DOI10.4064/aa170-4-3zbMath1339.11067OpenAlexW2581162045WikidataQ114022090 ScholiaQ114022090MaRDI QIDQ2945341

Shenxing Zhang, Yi Ouyang

Publication date: 9 September 2015

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa170-4-3

zbMATH Keywords

Selmer groups2-descentcongruent and non-congruent number

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Cubic and quartic Diophantine equations (11D25)

Related Items (9)

Congruent elliptic curves with non-trivial Shafarevich-Tate groups ⋮ Some new families of non-congruent numbers ⋮ Families of non-congruent numbers with odd prime factors of the form \(8k + 3\) ⋮ An extension theorem for generating new families of non-congruent numbers ⋮ Diophantine equations, class groups and non-congruent numbers ⋮ On the extension of even families of non-congruent numbers ⋮ Families of even non-congruent numbers with prime factors in each odd congruence class modulo eight ⋮ The non-congruent numbers via Monsky’s formula ⋮ A remark on prime (non)congruent numbers

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