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 curv...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).展开更多
基金the National Natural Science Foundation of China
文摘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).
