On the 2-part of the Birch–Swinnerton-Dyer conjecture for elliptic curves with complex multiplication

On the 2-part of the Birch–Swinnerton-Dyer conjecture for elliptic curves with complex multiplication

Given an elliptic curve E over Q with complex multiplication having good reduction at 2, we investigate the 2-adic valuation of the algebraic part of the L-value at 1 for a family of quadratic twists. In particular, we prove a lower bound for this valuation in terms of the Tamagawa number in a form...

Verfasser:	Coates, John ^GND ^Normdaten ^Normdaten ^VIAF ^Normdaten ^Normdaten Kim, Minhyong ^GND Liang, Zhibin ^GND Zhao, Chunlai
Dokumenttypen:	Artikel
Erscheinungsdatum:	2014
Publikation in MIAMI:	17.10.2014
Datum der letzten Änderung:	27.05.2022
Quelle:	Münster Journal of Mathematics, 7 (2014) 1, S. 83-103
Angaben zur Ausgabe:	[Electronic ed.]
Fachgebiet (DDC):	510: Mathematik
Lizenz:	InC 1.0
Sprache:	English
Format:	PDF-Dokument
URN:	urn:nbn:de:hbz:6-22359594522
Permalink:	https://nbn-resolving.de/urn:nbn:de:hbz:6-22359594522
Onlinezugriff:	mjm_vol_7_05.pdf

Münster Journal of Mathematics

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On the 2-part of the Birch–Swinnerton-Dyer conjecture for elliptic curves with complex multiplication

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