The number of twists with large torsion of an elliptic curve
نویسندگان
چکیده
منابع مشابه
The Number of Twists with Large Torsion of an Ellitpic Curve
For an elliptic curve E/Q, we determine the maximum number of twists E/Q it can have such that E(Q)tors ) E(Q)[2]. We use these results to determine the number of distinct quadratic fields K such that E(K)tors ) E(Q)tors. The answer depends on E(Q)tors and we give the best possible bound for all the possible cases.
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ژورنال
عنوان ژورنال: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
سال: 2014
ISSN: 1578-7303,1579-1505
DOI: 10.1007/s13398-014-0199-x