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change p-adic precision in elliptic curve

asked 2016-10-27 04:31:26 -0600

Sha gravatar image

I have the following code

Qp=pAdicField(13)
E=EllipticCurve(Qp,[0,0,0,-3267,45630]); E
P=E([-21,324]);P

and I get answer for point P

(5 + 11*13 + 12*13^2 + 12*13^3 + 12*13^4 + 12*13^5 + 12*13^6 + 12*13^7 + 12*13^8 + 12*13^9 + 12*13^10 + 12*13^11 + 12*13^12 + 12*13^13 + 12*13^14 + 12*13^15 + 12*13^16 + 12*13^17 + 12*13^18 + 12*13^19 + O(13^20) : 12 + 11*13 + 13^2 + O(13^20) : 1 + O(13^20))

How to change the precision of the power of 13. I am only interested up to O(13^4)

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answered 2016-10-27 06:45:57 -0600

castor gravatar image

Your code is pretty close to what you want:

Qp=pAdicField(13,4)
E=EllipticCurve(Qp,[0,0,0,-3267,45630]); E
P=E([-21,324]);P

the answer is

(5 + 11*13 + 12*13^2 + 12*13^3 + O(13^4) : 12 + 11*13 + 13^2 + O(13^4) : 1 + O(13^4)).
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Thank you so much!

Sha gravatar imageSha ( 2016-10-27 06:56:57 -0600 )edit

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Asked: 2016-10-27 04:31:26 -0600

Seen: 24 times

Last updated: Oct 27 '16