On the Quadratic Twists of a Family of Elliptic Curves

DOI10.1112/S0025579300000413zbMath1105.14044MaRDI QIDQ3410748

Gang Yu

Publication date: 16 November 2006

Published in: Mathematika (Search for Journal in Brave)

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52)

Related Items (6)

ON SELMER GROUPS AND TATE–SHAFAREVICH GROUPS FOR ELLIPTIC CURVESy²=x³−n³ ⋮ On ranks of quadratic twists of a Mordell curve ⋮ ON SELMER GROUPS OF QUADRATIC TWISTS OF ELLIPTIC CURVES WITH A TWO‐TORSION OVER ⋮ Distribution of Selmer groups of quadratic twists of a family of elliptic curves ⋮ ON TWISTS OF THE FERMAT CUBIC x³ + y³ = 2 ⋮ ON POSITIVE PROPORTION OF RANK-ZERO TWISTS OF ELLIPTIC CURVES OVER

Cites Work

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• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• Modular curves and the Eisenstein ideal
• Non-vanishing of quadratic twists of modular \(L\)-functions
• The size of Selmer groups for the congruent number problem. II. With an appendix by P. Monsky.
• On modular forms of half integral weight
• L-series with nonzero central critical value
• The Square-Free Sieve and the Rank of Elliptic Curves
• On Character Sums and L -Series. II

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