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. ( F" H0 @3 v5 Y0 s; ~6 n
Formally, 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. # @$ s$ l! z; ^9 Y, P1 W: v
By an appropriate change of variables, a general elliptic curve over a field with field characteristic , a general cubic curve
