#4606: elliptic curves -- implement gross-Zagier L-functions
-------------------------------------+-------------------------------------
       Reporter:  robertwb           |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.7
      Component:  elliptic curves    |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  William Stein,     |    Reviewers:
  Robert Bradshaw, Craig Citro       |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:  u/chapoton/4606    |  0bb47fa2466dbc64485237c788b964e5b0280ccb
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by {'newvalue': u'William Stein, Robert Bradshaw, Craig Citro', 
'oldvalue': ''}):

 * author:   => William Stein, Robert Bradshaw, Craig Citro


Old description:

> Make it so one can do:
> {{{
> sage: e = EllipticCurve('37a')
> sage: K.<a> = QuadraticField(-40)
> sage: A = K.class_group().gen(0); A
> Fractional ideal class (2, -1/2*a)
> sage: L = e.lseries_gross_zagier(A)
> sage: L(2)
> 0
> sage: L.taylor_series(2,5)
> nobody has seen this!
> }}}

New description:

 Make it so one can do:
 {{{
 sage: e = EllipticCurve('37a')
 sage: K.<a> = QuadraticField(-40)
 sage: A = K.class_group().gen(0); A
 Fractional ideal class (2, -1/2*a)
 sage: L = e.lseries_gross_zagier(A)
 sage: L(1)
 0.000000000000000
 sage: L.taylor_series(1,5)
 0.000000000000000 - 5.51899839494458*z + 13.6297841350649*z^2 -
 16.2292417817675*z^3 + 7.94788823722712*z^4 + O(z^5)
 }}}
 nobody had seen this!

--

--
Ticket URL: <http://trac.sagemath.org/ticket/4606#comment:30>
Sage <http://www.sagemath.org>
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