scientific article; zbMATH DE number 7306601

zbMath1459.11085MaRDI QIDQ5148736

Shamik Das, Anupam Saikia

Publication date: 5 February 2021

Full work available at URL: http://math.colgate.edu/~integers/u55/u55.pdf

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

zbMATH Keywords

Mordell-Weil rankelliptic curvecongruent number

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Arithmetic ground fields for curves (14H25) Cubic and quartic Diophantine equations (11D25)

Related Items (1)

A necessary condition for \(p\) and \(2p\) to be congruent for a prime \(p \equiv 1 \pmod 8\)

Uses Software

• Magma

Cites Work

• Unnamed Item
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• Non-congruent numbers with arbitrarily many prime factors congruent to 3 modulo 8
• Mock Heegner points and congruent numbers
• A classical Diophantine problem and modular forms of weight \(3/2\)
• The Magma algebra system. I: The user language
• Congruent numbers and Heegner points
• The Arithmetic of Elliptic Curves
• Families of even non-congruent numbers with prime factors in each odd congruence class modulo eight

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