Opened 6 years ago
Closed 6 years ago
#1237 closed defect (fixed)
[with patch, positive review] E.torsion_order() fails on curves with big coefficients !!
Reported by: | was | Owned by: | roed |
---|---|---|---|
Priority: | major | Milestone: | sage-2.9 |
Component: | number theory | Keywords: | |
Cc: | Merged in: | ||
Authors: | Reviewers: | ||
Report Upstream: | Work issues: | ||
Branch: | Commit: | ||
Dependencies: | Stopgaps: |
Description
On Nov 20, 2007 1:40 PM, Paul Zimmermann wrote:
William,
sage told me to report you, thus I do:
[... see below]
For the particular curve you're considering mwrank (via sage's rank command) can compute the rank -- which is what you want -- in 0.5 seconds, so maybe you can use .rank() instead?
{{{id=24| e = EllipticCurve?([0, 33076156654533652066609946884, 0, 347897536144342179642120321790729023127716119338758604800, 114112815436927429551902303280680424778815462104985764887003237028585178\ 1352816640000]) }}}
{{{id=27| time e.rank() / 1 CPU time: 0.00 s, Wall time: 0.46 s }}}
That said, the fact that e.torsion_order() fails is certainly a bug:
{{{id=29| e.torsion_order() / Traceback (most recent call last):
File "<stdin>", line 1, in <module> File "/Users/was/sage_notebook/worksheets/admin/23/code/91.py", line 4, in <module>
...
self.torsion_subgroup = rational_torsion.EllipticCurveTorsionSubgroup?(self, flag)
File "/Users/was/s/local/lib/python2.5/site-packages/sage/schemes/elliptic_curves/rational_torsion.py", line 56, in init
self.E.pari_double_prec()
AttributeError?: 'EllipticCurve_rational_field' object has no attribute '_EllipticCurveTorsionSubgrouppari_double_prec' }}}
> sage: d = 919681/88529281 > sage: _ = magma.eval('K := Rationals()') > sage: _ = magma.eval('P<x,y,z>:=ProjectiveSpace(K,2)') > sage: def rank(d): > ....: s='f := (x^2+y^2)*z^2-z^4-(' > ....: s=''.join([s, repr(d), ')*x^2*y^2;']) > ....: magma.eval(s) > ....: magma.eval('C:=Curve(P,f);') > ....: E = magma('EllipticCurve(C,C![0,1,1])') > ....: l = E.aInvariants() > ....: EE = EllipticCurve(map(Integer,l)) > ....: return EE.simon_two_descent()[0] > ....: > sage: rank(d) > --------------------------------------------------------------------------- > <type 'exceptions.AttributeError'> Traceback (most recent call last) > > /home/zimmerma/<ipython console> in <module>() > > /home/zimmerma/<ipython console> in rank(d) > > /usr/local/sage-2.8.12/sage/local/lib/python2.5/site-packages/sage/schemes/elliptic_curves/ell_rational_field.py in simon_two_descent(self, verbose, lim1, lim3, limtriv, maxprob, limbigprime) > 858 (8, 8) > 859 """ > --> 860 if self.torsion_order() % 2 == 0: > 861 raise ArithmeticError, "curve must not have rational 2-torsion\nThe *only* reason for this is that I haven't finished implementing the wrapper\nin this case. It wouldn't be too difficult.\nPerhaps you could do it?! Email me (wstein@gmail.com)." > 862 F = self.integral_weierstrass_model() > > /usr/local/sage-2.8.12/sage/local/lib/python2.5/site-packages/sage/schemes/elliptic_curves/ell_rational_field.py in torsion_order(self) > 1743 return self.__torsion_order > 1744 except AttributeError: > -> 1745 self.__torsion_order = self.torsion_subgroup().order() > 1746 return self.__torsion_order > 1747 > > /usr/local/sage-2.8.12/sage/local/lib/python2.5/site-packages/sage/schemes/elliptic_curves/ell_rational_field.py in torsion_subgroup(self, flag) > 1781 return self.__torsion_subgroup > 1782 except AttributeError: > -> 1783 self.__torsion_subgroup = rational_torsion.EllipticCurveTorsionSubgroup(self, flag) > 1784 return self.__torsion_subgroup > 1785 > > /usr/local/sage-2.8.12/sage/local/lib/python2.5/site-packages/sage/schemes/elliptic_curves/rational_torsion.py in __init__(self, E, flag) > 54 G = self.__E.pari_curve().elltors(flag) > 55 except RuntimeError: > ---> 56 self.__E.__pari_double_prec() > 57 if G is None: > 58 raise RuntimeError, "Could not compute torsion subgroup" > > <type 'exceptions.AttributeError'>: 'EllipticCurve_rational_field' object has no attribute '_EllipticCurveTorsionSubgroup__pari_double_prec' > > Paul >
-- William Stein Associate Professor of Mathematics University of Washington http://wstein.org
Attachments (2)
Change History (6)
Changed 6 years ago by roed
comment:1 Changed 6 years ago by roed
- Owner changed from was to roed
- Status changed from new to assigned
- Summary changed from E.torsion_order() fails on curves with big coefficients !! to [with patch] E.torsion_order() fails on curves with big coefficients !!
comment:2 Changed 6 years ago by mabshoff
- Milestone changed from sage-2.9 to sage-2.8.15
comment:3 Changed 6 years ago by was
- Summary changed from [with patch] E.torsion_order() fails on curves with big coefficients !! to [with patch, positive review] E.torsion_order() fails on curves with big coefficients !!
I give this a positive review.
comment:4 Changed 6 years ago by mabshoff
- Resolution set to fixed
- Status changed from assigned to closed
Merged in 2.9.rc0.
Fix