TY  - JOUR
AB  - 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 predicted by the conjecture of Birch and Swinnerton-Dyer.
AU  - Coates, John
AU  - Kim, Minhyong
AU  - Liang, Zhibin
AU  - Zhibin, Liang
AU  - Zhibin Liang
AU  - Zhao, Chunlai
DA  - 2014
LA  - eng
IS  - Münster Journal of Mathematics
M2  - 83
PY  - 2014
SP  - 83-103
T2  - Münster Journal of Mathematics
TI  - On the 2-part of the Birch–Swinnerton-Dyer conjecture for elliptic curves with complex multiplication
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-22359594522
Y2  - 2024-11-22T18:02:45
ER  -