Arithmetic on certain families of elliptic curves

DOI10.1017/S0004972700022322zbMath0956.11014MaRDI QIDQ4487287

Małgorzata Wieczorek, Andrzej Dąbrowski

Publication date: 24 July 2000

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

elliptic curvesShafarevich-Tate grouptorsion points

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Uses Software

• ecdata

Cites Work

• Unnamed Item
• A classical Diophantine problem and modular forms of weight \(3/2\)
• Torsion points on elliptic curves with given j-invariant
• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• Nonvanishing of \(L\)-series associated to cubic twists of elliptic curves
• Algorithm for determining the type of a singular fiber in an elliptic pencil
• Universal Bounds on the Torsion of Elliptic Curves
• Almost-primes represented by quadratic polynomials

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