scientific article; zbMATH DE number 7069822

zbMath1456.11103MaRDI QIDQ5383260

Abhishek Juyal, Dustin Moody, Shiv Datt Kumar

Publication date: 21 June 2019

Full work available at URL: http://math.colgate.edu/~integers/t10/t10.pdf

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

function fieldranktriangular numbersLegendre family of elliptic curves

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Elliptic curves over global fields (11G05)

Related Items (1)

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Uses Software

• SageMath

Cites Work

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• An example of elliptic curve over \(\mathbb{Q}\) with rank \(\geq 20\)
• Triangular numbers and elliptic curves
• A heuristic for boundedness of ranks of elliptic curves
• Heron quadrilaterals via elliptic curves
• Rank Computations for the Congruent Number Elliptic Curves
• Mordell–Weil ranks of families of elliptic curves associated to Pythagorean triples
• On the family of elliptic curves $Y^2=X^3-T^2X+1$
• Elliptic Surfaces
• Rank Frequencies for Quadratic Twists of Elliptic Curves
• ELLIPTIC CURVES ARISING FROM BRAHMAGUPTA QUADRILATERALS

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