Families of elliptic curves with trivial Mordell-Weil group

DOI10.1017/S0004972700018773zbMath0959.11022OpenAlexW1983021674MaRDI QIDQ4522523

Małgorzata Wieczorek, Andrzej Dąbrowski

Publication date: 29 April 2001

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

Full work available at URL: https://doi.org/10.1017/s0004972700018773

zbMATH Keywords

elliptic curvesMordell-Weil rank

Mathematics Subject Classification ID

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

Related Items (5)

Multiples of integral points on Mordell curves ⋮ On the Mordell-Weil group of elliptic curves induced by families of Diophantine triples ⋮ Torsion subgroups of elliptic curves in short Weierstrass form ⋮ Rational points on quadratic elliptic surfaces ⋮ Torsion points on elliptic curves in Weierstrass form

Cites Work

• Unnamed Item
• Points of finite order on elliptic curves with complex multiplication
• Torsion points on elliptic curves with given j-invariant
• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• Elliptic Curves with no Rational Points
• Universal Bounds on the Torsion of Elliptic Curves
• On some applications of automorphic forms to number theory

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