SELF-POINTS ON ELLIPTIC CURVES OF PRIME CONDUCTOR

DOI10.1142/S1793042109002456zbMath1238.11064MaRDI QIDQ3395929

Christophe Delaunay, Christian Wuthrich

Publication date: 15 September 2009

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

elliptic curvesmodular curves

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Arithmetic aspects of modular and Shimura varieties (11G18) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (1)

Kolyvagin derivatives of modular points on elliptic curves

Uses Software

• PARI/GP
• ecdata

Cites Work

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• Root numbers of semistable elliptic curves in division towers
• Systematic growth of Mordell-Weil groups of abelian varieties in towers of number fields
• The Magma algebra system. I: The user language
• Self-points on elliptic curves
• \(PGL_ 2\) over the p-adics: its representations, spherical functions, and Fourier analysis
• Galois properties of points of finite order of elliptic curves
• Elliptische Kurven mit vorgeschriebenem Reduktionsverhalten. II
• On the failure of pseudo-nullity of Iwasawa modules
• Elliptische Kurven mit vorgeschriebenem Reduktionsverhalten. I
• Root numbers of non-abelian twists of elliptic curves

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