Computing Elliptic Curves over $$\mathbb{Q}$$ : Bad Reduction at One Prime

DOI10.1007/978-1-4939-6969-2_13zbMath1410.11045OpenAlexW2753002193MaRDI QIDQ4604874

Michael A. Bennett, Andrew Rechnitzer

Publication date: 6 March 2018

Published in: Recent Progress and Modern Challenges in Applied Mathematics, Modeling and Computational Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-6969-2_13

zbMATH Keywords

elliptic curvesinvariant theorycubic forms

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Elliptic curves over global fields (11G05) Thue-Mahler equations (11D59) Computer solution of Diophantine equations (11Y50) Elliptic curves (14H52) Cubic and quartic Diophantine equations (11D25) Continued fraction calculations (number-theoretic aspects) (11Y65)

Related Items (4)

Solving 𝑆-unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture ⋮ Mod-2 dihedral Galois representations of prime conductor ⋮ Computing Elliptic Curves over $$\mathbb{Q}$$ : Bad Reduction at One Prime ⋮ Computing elliptic curves over $\mathbb {Q}$

Uses Software

• Magma
• PARI/GP
• CLN
• ecdata

Cites Work

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