This document collects the answers to some questions along the line “How do I construct ... in Sage?” Though much of this material can be found in the manual or tutorial or string documentation of the Python code, it is hoped that this will provide the casual user with some basic examples on how to start using Sage in a useful way.
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Please send suggestions, additions, corrections to the sage-devel Google group!
The Sage wiki http://wiki.sagemath.org/ contains a wealth of information. Moreover, all these can be tested in the Sage notebook interface http://www.sagenb.org/ on the web.
-adic numbers
-invariant
-rational points on E