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On elliptic curves with complex multiplication and root numbers

Author(s)
Lee, WanYu, Myungjun
Issued Date
2021-05
DOI
10.1142/S179304212150010X
URI
https://scholarworks.unist.ac.kr/handle/201301/53052
Fulltext
https://www.worldscientific.com/doi/abs/10.1142/S179304212150010X
Citation
INTERNATIONAL JOURNAL OF NUMBER THEORY, v.17, no.04, pp.827 - 842
Abstract
Let E/F be an elliptic curve defined over a number field F. Suppose that E has complex multiplication over (F) over bar, i.e. End((F) over bar)(E) circle times Q is an imaginary quadratic field. With the aid of CM theory, we find elliptic curves whose quadratic twists have a constant root number.
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
ISSN
1793-0421
Keyword (Author)
Elliptic curvesroot numbercomplex multiplicationquadratic twists
Keyword
TWISTS

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