On the Mordell-Weil group of elliptic curves induced by families of Diophantine triples

DOI10.1216/RMJ-2015-45-5-1565zbMath1333.11052OpenAlexW2279216053MaRDI QIDQ908261

Miljen Mikić

Publication date: 4 February 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1453817255

zbMATH Keywords

elliptic curvesMordell-Weil groupranktorsion groupDiophantine triples

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Cites Work

• Torsion subgroups of elliptic curves over quadratic extensions
• Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
• On squares in certain Lucas sequences
• Diophantine \(m\)-tuples and elliptic curves
• The extensibility of Diophantine pairs \(\{k - 1,k+1\}\)
• There are only finitely many Diophantine quintuples
• A parametric family of elliptic curves
• Euler's concordant forms
• High-rank elliptic curves with torsion induced by Diophantine triples
• ON THE FAMILY OF DIOPHANTINE TRIPLES {k− 1,k+ 1, 16k³− 4k}
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