Construction of high-rank elliptic curves with a nontrivial torsion point
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Publication:5691021
DOI10.1090/S0025-5718-97-00779-5zbMath0854.11029OpenAlexW1997247724MaRDI QIDQ5691021
Publication date: 9 January 1997
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-97-00779-5
Elliptic curves over global fields (11G05) Computer solution of Diophantine equations (11Y50) Elliptic curves (14H52) Computational aspects of algebraic curves (14Q05) Cubic and quartic Diophantine equations (11D25)
Related Items (5)
Construction of high-rank elliptic curves with a non-trivial rational point of order 2 ⋮ On an elliptic curve over \({\mathbb{Q}}(t)\) of rank \(\geq 9\) with a non-trivial 2-torsion point ⋮ Elliptic Curves of High Rank with Nontrivial Torsion Group over Q ⋮ 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 \(\mathbb Z/3\mathbb Z\times \mathbb Z/6\mathbb Z\) ⋮ Modular curves over number fields and ECM
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