Algorithmic Number Theory

DOI10.1007/b98210zbMath1125.11326arXivmath/0403116OpenAlexW2791103999WikidataQ29036695 ScholiaQ29036695MaRDI QIDQ5465619

Nicholas F. Rogers, Noam D. Elkies

Publication date: 12 August 2005

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0403116

zbMATH Keywords

minimal curveconstruction of elliptic curves of rank 8--11descent via 3-isogenyrational 3-torsion pointrational parametrizations of cubic surfaces

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Related Items (7)

On powerful integers expressible as sums of two coprime fourth powers ⋮ Explicit isogeny descent on elliptic curves ⋮ A family of elliptic curves with rank \(\geq 5\) ⋮ Descent via isogeny on elliptic curves with large rational torsion subgroups ⋮ Computing $L$-functions with large conductor ⋮ On high rank \(\pi/3\) and \(2\pi/3\)-congruent number elliptic curves ⋮ ELLIPTIC K3 SURFACES ASSOCIATED WITH THE PRODUCT OF TWO ELLIPTIC CURVES: MORDELL–WEIL LATTICES AND THEIR FIELDS OF DEFINITION

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