#7575: EllipticCurve.gens: height bounds not handled well in two_descent
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Reporter: rlm | Owner: cremona
Type: defect | Status: new
Priority: major | Milestone: sage-4.3
Component: elliptic curves | Keywords:
Work_issues: | Author:
Upstream: N/A | Reviewer:
Merged: |
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The documentation for `EllipticCurve.gens` says:
{{{
HINT: If you would like to control the height bounds used in the
2-descent, first call the two_descent function with those height
bounds. However that function, while it displays a lot of output,
returns no values.
}}}
However, this doesn't work, because `EllipticCurve.gens` doesn't know
about it:
{{{
sage: x,y=var('x,y')
sage: E = EllipticCurve(y^2 + x*y + y == x^3 - 10525529*x - 21714803524)
sage: E.two_descent(second_limit=11, verbose=False)
sage: E.gens()
*BOOM*
}}}
Despite:
{{{
sage: A = E.mwrank_curve()
sage: A.gens()
[[1737553736529419603224344006006032245457891558644991945121564365621L,
-1605018042749306385493128932071874233128412498544999275367916849231954L,
2038538889602737161869943561394015059980551394212496529475951L]]
}}}
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7575>
Sage <http://www.sagemath.org>
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