#15394 closed enhancement (fixed)
Implement a Lattes map function
Reported by:  bhutz  Owned by:  bhutz 

Priority:  major  Milestone:  sage6.4 
Component:  elliptic curves  Keywords:  sagedays55 
Cc:  defeo  Merged in:  
Authors:  Ben Hutz  Reviewers:  Joao Alberto de Faria 
Report Upstream:  N/A  Work issues:  
Branch:  77ef2e9 (Commits)  Commit:  
Dependencies:  Stopgaps: 
Description
Given an elliptic curve and integer m, return the associated Lattes map on P1. It would be nice to eventually add support for noninteger m, but this would be a great first step.
Change History (11)
comment:1 in reply to: ↑ description Changed 7 years ago by
comment:2 Changed 7 years ago by
 Cc defeo added
comment:3 Changed 7 years ago by
 Milestone changed from sage6.1 to sage6.2
comment:4 Changed 7 years ago by
 Milestone changed from sage6.2 to sage6.3
comment:5 Changed 6 years ago by
 Branch set to u/bhutz/ticket/15394
 Created changed from 11/10/13 01:05:24 to 11/10/13 01:05:24
 Modified changed from 05/06/14 15:20:58 to 05/06/14 15:20:58
comment:6 Changed 6 years ago by
 Commit set to 52b031c4e13a2979616fc16d5a1a36e70f27e6bd
 Status changed from new to needs_review
I've implemented this as a member function of projective space which takes E
,m
as parameters and returns the endomorphism. There is already functionality in elliptic curves to generate the rational expression, so the work here is only to turn that expression into an endomorphism of the appropriate projective space.
New commits:
52b031c  15394: creation of Lattes map as endomorpishm of P1

comment:7 Changed 6 years ago by
 Milestone changed from sage6.3 to sage6.4
comment:8 Changed 6 years ago by
 Commit changed from 52b031c4e13a2979616fc16d5a1a36e70f27e6bd to 77ef2e94fb9d706faa191817d167c70c5946a1cc
Branch pushed to git repo; I updated commit sha1. New commits:
77ef2e9  15394: documentation typo fixed

comment:9 Changed 6 years ago by
 Reviewers set to Joao Faria
 Status changed from needs_review to positive_review
Went through and check for bugs, found nothing outside of a small typo that has been fixed, setting to positive review
comment:10 Changed 6 years ago by
 Branch changed from u/bhutz/ticket/15394 to 77ef2e94fb9d706faa191817d167c70c5946a1cc
 Resolution set to fixed
 Status changed from positive_review to closed
comment:11 Changed 6 years ago by
 Commit 77ef2e94fb9d706faa191817d167c70c5946a1cc deleted
 Reviewers changed from Joao Faria to Joao Alberto de Faria
I have written code for this; will submit soonish.
Replying to bhutz: