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Sage is a mathematical software system, and this tag is intended for questions involving this software in a substantive way. This tag should hardly ever be the only tag of a question; typically there should be additional tags to indicate the mathematical content of the question. Please note that questions that are purely support-questions on Sage are not a good fit for this site.

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Sage: Evaluation precision for elliptic curves over p-adic fields

In Sage I use: k = GF(257) E = EllipticCurve(k,[23,11]) kp = Qp(257,5) # 257-adic Field with capped relative precision 5 Ep = E.change_ring(kp) Now, Ep is the Elliptic Curve defined … In Sage: s = Ep([7,258]) print s (7 + O(257^5) : 1 + 257 + O(257^5) : 1 + O(257^5)) So far so good, everything works as expected. s has order 83. Therefore 84*s=s. …
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