Construction of Elliptic Curves with Large Rank

DOI10.2307/2008002zbMath0593.14022OpenAlexW1995509330MaRDI QIDQ3722625

Thomas Kretschmer

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2008002

zbMATH Keywords

algorithm to construct elliptic curves

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Software, source code, etc. for problems pertaining to algebraic geometry (14-04)

Related Items (4)

Infinite descent on elliptic curves ⋮ Solving 𝑆-unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture ⋮ Construction of high-rank elliptic curves with a nontrivial torsion point ⋮ An example of elliptic curve over \(\mathbb{Q}\) with rank equal to 15.

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