The effect of torsion on the distribution of \(\text Ш\) among quadratic twists of an elliptic curve

DOI10.1016/j.jnt.2010.07.007zbMath1218.11058OpenAlexW2062640357MaRDI QIDQ616421

Patricia L. Quattrini

Publication date: 7 January 2011

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2010.07.007

zbMATH Keywords

congruences on modular formsDistribution of Tate-Shafarevich group

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Congruences for modular and (p)-adic modular forms (11F33) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (3)

Unnamed Item ⋮ Quasimodular moonshine and arithmetic connections ⋮ Behaviour of the Order of Tate–Shafarevich Groups for the Quadratic Twists of $$X_0(49)$$

Uses Software

• ecdata

Cites Work

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