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An example of elliptic curve over \(\mathbb{Q}\) with rank equal to 15.

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Publication:1869647
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DOI10.3792/pjaa.78.109zbMath1040.11040OpenAlexW2057449807MaRDI QIDQ1869647

Andrej Dujella

Publication date: 30 September 2003

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.78.109



Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)


Related Items (3)

On arithmetic progressions on Pellian equations ⋮ Elliptic curve involving subfamilies of rank at least 5 over $\mathbb{Q}(t)$ or $\mathbb{Q}(t,k)$ ⋮ On class numbers, torsion subgroups, and quadratic twists of elliptic curves


Uses Software

  • APECS
  • ecdata


Cites Work

  • An example of elliptic curve over \(\mathbb{Q}\) with rank \(\geq 20\)
  • Elliptic Curves of High Rank with Nontrivial Torsion Group over Q
  • Construction of Elliptic Curves with Large Rank
  • Speeding the Pollard and Elliptic Curve Methods of Factorization
  • Finding Suitable Curves for the Elliptic Curve Method of Factorization
  • On an elliptic curve over \({\mathbb{Q}}(t)\) of rank \(\geq 9\) with a non-trivial 2-torsion point
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  • Unnamed Item


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