On the rank of elliptic curves over \(\mathbb Q(i)\) with torsion group \(\mathbb Z/4\mathbb Z\times \mathbb Z/4\mathbb Z\)
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Publication:1959767
DOI10.3792/pjaa.86.93zbMath1217.11058OpenAlexW2043382203WikidataQ57595887 ScholiaQ57595887MaRDI QIDQ1959767
Mirela Jukić Bokun, Andrej Dujella
Publication date: 12 October 2010
Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3792/pjaa.86.93
Related Items (5)
Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization ⋮ On the torsion group of elliptic curves induced by Diophantine triples over quadratic fields ⋮ High rank elliptic curves with prescribed torsion group over quadratic fields ⋮ On the rank of elliptic curves over \(\mathbb Q(\sqrt{-3})\) with torsion groups \(\mathbb Z/3\mathbb Z\times\mathbb Z/3\mathbb Z\) and \(\mathbb Z/3\mathbb Z\times \mathbb Z/6\mathbb Z\) ⋮ On high rank \(\pi/3\) and \(2\pi/3\)-congruent number elliptic curves
Uses Software
Cites Work
- Complete classification of torsion of elliptic curves over quadratic cyclotomic fields
- Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
- An example of elliptic curve over \(\mathbb{Q}\) with rank \(\geq 20\)
- Torsion points on elliptic curves and \(q\)-coefficients of modular forms
- Torsion points on elliptic curves defined over quadratic fields
- On Mordell-Weil groups of elliptic curves induced by Diophantine triples
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