2014/02/28 by Jeremy Rouse, David Zureick-Brown · 1 citation
Mathematics · #math.NT #msc:11G05 #msc:11D45 #msc:11F80 #msc:11G15 #msc:11G18
published as Res. Number Theory 1 (2015), Art. 12, 34 pp · 34 pages, 1 figure. The transcript of computations is available in the ancillary file 2adic.rar. (Apologies for the unusual file format. If this archive is created with tar, gzip or bzip2, arXiv will automatically extract it, and would would give links to each of these files on the site you are looking at.)
arxiv created 2015/05/15 · arxiv updated 2018/01/22
We give a classification of all possible 2-adic images of Galois representations associated to elliptic curves over ℚ. To this end, we compute the 'arithmetically maximal' tower of 2-power level modular curves, develop techniques to compute their equations, and classify the rational points on these curves.