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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. …