2016-11-01 08:13:09 -0500 | received badge | ● Nice Question (source) |

2016-10-28 15:04:21 -0500 | received badge | ● Editor (source) |

2016-10-28 15:02:26 -0500 | received badge | ● Scholar (source) |

2016-10-28 15:01:23 -0500 | received badge | ● Supporter (source) |

2016-10-28 14:58:32 -0500 | asked a question | Elliptic curve defined with parameter For example, I want to create and study the curve y^2 = x^3 + (u)x^2 + (16*u)x over finite fields. This curve parameterizes all elliptic curves with rational 2-torsion subgroups. I get errors when I try to use "u" when defining the curve. Is it possible to define a curve in this way and study it as a family of curves? |

2016-04-27 16:18:28 -0500 | received badge | ● Student (source) |

2016-04-26 16:52:43 -0500 | asked a question | How to construct random divisor once the set of rational points over the Jacobian of a hyperelliptic curve is created? I know how to deliberately create a divisor with knowledge of the mumford coordinates, but is there a way to generate a divisor randomly inside of X = J(FF) and extract its mumford coordinates as polynomials over FF? Where divisors D = X([a,b]) are elements of X = J(FF), a and b are the mumford polynomials, and J is the Jacobian of a hyperelliptic curve. Thanks! |

Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.