Created
October 23, 2017 09:05
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PairingForBeginers P52 Weil reciprocity magma脚本
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| clear; | |
| Fq:=GF(503); | |
| a:=0; b:=1; | |
| E:=EllipticCurve([Fq|a,b]); | |
| P:=E![433,98]; | |
| Q:=E![127,258]; | |
| R:=E![339,199]; | |
| S:=E![124,42]; | |
| T:=E![147,443]; | |
| U:=E![413,369]; | |
| DP:=Divisor(P); | |
| DQ:=Divisor(Q); | |
| F<x,y>:=FunctionField(E); | |
| lambda:=(3*P[1]^2+a)/(2*P[2]); | |
| nu:=P[2]-lambda*P[1]; | |
| f2P:=y-(lambda*x+nu); | |
| lambda:=(3*Q[1]^2+a)/(2*Q[2]); | |
| nu:=Q[2]-lambda*Q[1]; | |
| f2Q:=y-(lambda*x+nu); | |
| f:=f2P/f2Q; | |
| Evaluate(f,R)*Evaluate(f,S)*Evaluate(f,T)*Evaluate(f,U)/(Evaluate(f,Identity(E)))^4; | |
Author
lengyijun
commented
Oct 23, 2017
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