The Number of Twists with Large Torsion of an Ellitpic Curve
نویسنده
چکیده
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.
منابع مشابه
A Note on Twists of (y^2=x^3+1)
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