Computation of ATR Darmon Points on Nongeometrically Modular Elliptic Curves

DOI10.1080/10586458.2013.738564zbMath1287.11082arXiv1204.6680OpenAlexW1978237903WikidataQ57090047 ScholiaQ57090047MaRDI QIDQ5298841

Xavier Guitart, Marc Masdeu

Publication date: 24 June 2013

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.6680

zbMATH Keywords

elliptic curvesHilbert modular formsATR pointsDarmon points

Mathematics Subject Classification ID

(L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41) Computational number theory (11Y99)

Related Items

Darmon points on elliptic curves over number fields of arbitrary signature, Uniformization of modular elliptic curves via \(p\)-adic periods, Almost totally complex points on elliptic curves, Rationality of Darmon points over genus fields of non-maximal orders, Elementary matrix decomposition and the computation of Darmon points with higher conductor

Cites Work

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• Modular elliptic curves and Fermat's Last Theorem
• On the Birch and Swinnerton-Dyer conjecture for modular elliptic curves over totally real fields
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