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TITLE On elliptic curves with complex multiplication and root numbers
KIAS AUTHORS Yu, Myungjun
JOURNAL INTERNATIONAL JOURNAL OF NUMBER THEORY, 2021
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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.
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