One more thing: it would be really nice (required?) if
Elliptic_curve_from_cubic would return the morphism that it found (and
perhaps an inverse).
Victor
On Wednesday, April 24, 2013 8:22:33 AM UTC-4, Victor Miller wrote:
>
> In Sage 5.8 on a mac. I have a functioning (and licensed) magma on my
> computer, and apparently sage is trying to call it.
>
> Victor
>
> R.<x,y,z> = QQ[]
> F = x^3 + 2*x*(y^2 + y*z + z^2) + y*z*(y + z)
> F(0,0,1)
> > 0
> E = EllipticCurve_from_cubic(F,(0,0,1))
>
>
> Traceback (most recent call last):
> File "<stdin>", line 1, in <module>
> File "_sage_input_8.py", line 10, in <module>
> exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8
> -*-\\n" +
> _support_.preparse_worksheet_cell(base64.b64decode("RSA9IEVsbGlwdGljQ3VydmVfZnJvbV9jdWJpYyhGLCgwLDAsMSkp"),globals())+"\\n");
> execfile(os.path.abspath("___code___.py"))
> File "", line 1, in <module>
>
> File
> "/private/var/folders/zs/sfhqf6rs4dgdjf89wmqsc6440000gn/T/tmpy6Qdo7/___code___.py",
> line 3, in <module>
> exec compile(u'E = EllipticCurve_from_cubic(F,(_sage_const_0
> ,_sage_const_0 ,_sage_const_1 ))
> File "", line 1, in <module>
>
> File
> "/Applications/Sage-5.8-OSX-64bit-10.8.app/Contents/Resources/sage/local/lib/python2.7/site-packages/sage/schemes/elliptic_curves/constructor.py",
> line 575, in EllipticCurve_from_cubic
> s = magma.eval(cmd)
> File
> "/Applications/Sage-5.8-OSX-64bit-10.8.app/Contents/Resources/sage/local/lib/python2.7/site-packages/sage/interfaces/magma.py",
> line 539, in eval
> raise RuntimeError, "Error evaluating Magma code.\nIN:%s\nOUT:%s"%(x, ans)
> RuntimeError: Error evaluating Magma code.
> IN:aInvariants(MinimalModel(EllipticCurve(Curve(Scheme(P, x^3 + 2*x*y^2 +
> 2*x*y*z + y^2*z + 2*x*z^2 + y*z^2)),P!(0, 0, 1))));
> OUT:
> In file
> "/Users/victorsmiller/.sage/temp/Victors_MacBook_Pro_2.local/7371/interface/tmp7444",
> line 1, column 110:
> >> x^3 + 2*x*y^2 + 2*x*y*z + y^2*z + 2*x*z^2 + y*z^2)),P!(0, 0, 1))));
> ^
> Runtime error in elt< ... >: No permutation group context in which to create
> cycle
>
>
>
>
>
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