\(\mathbb{Q}\)-curves over quadratic fields

DOI10.1007/BF02677859zbMath0909.11017OpenAlexW2078070980MaRDI QIDQ1382658

Yuji Hasegawa

Publication date: 25 March 1999

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156344

zbMATH Keywords

elliptic curvequadratic fieldsmodular curveisogenies\({\mathbb Q}\)-curves

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Holomorphic modular forms of integral weight (11F11) Isogeny (14K02)

Related Items

Surjectivity of Galois representations associated with quadratic \(\mathbb {Q}\)-curves, The \(\mathbb Q\)-curve construction for endomorphism-accelerated elliptic curves, On $L$-functions of quadratic $\mathbb {Q}$-curves, Rational points on \(X^ +_ 0(N)\) and quadratic \(\mathbb Q\)-curves., Computing cardinalities of -curve reductions over finite fields, MODULARITY CONJECTURE FOR Q-CURVES AND QM-CURVES, On Brumer's family of RM-curves of genus two, Quadratic \(\mathbb Q\)-curves, units and Hecke \(L\)-values, On rational torsion points of central \(\mathbb Q\)-curves

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