标题: 椭圆曲线 [打印本页] 作者: OLS 时间: 2009-2-4 03:04 标题: 椭圆曲线 Informally, an elliptic curve is a type of cubic curve whose solutions are confined to a region of space that is topologically equivalent to a torus. The Weierstrass elliptic function describes how to get from this torus to the algebraic form of an elliptic curve. ! H; f3 z0 O, IFormally, an elliptic curve over a field is a nonsingular cubic curve in two variables, , with a -rational point (which may be a point at infinity). The field is usually taken to be the complex numbers , reals , rationals , algebraic extensions of , p-adic numbers , or a finite field. 6 C) {7 u, n. Z' M7 g( IBy an appropriate change of variables, a general elliptic curve over a field with field characteristic , a general cubic curve
