摘要
The parameterization of the elliptic curve Y2=X2+1 is given by using the modular forms of X(12) Then using class field theory over imaginary quadratic field and Shimura reciprocity, an infinite order point on the curve y2- = x3-p3 is constructed, for prime p=7 (mod 24).
The parameterization of the elliptic curve Y2=X2+1 is given by using the modular forms of X(12) Then using class field theory over imaginary quadratic field and Shimura reciprocity, an infinite order point on the curve y2- = x3-p3 is constructed, for prime p=7 (mod 24).
基金
the National Natural Science Foundation of China
