#6045: [with patch, with review, needs work] Computation of Heegner points
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Reporter: robertwb | Owner: was
Type: defect | Status: new
Priority: major | Milestone: sage-4.1
Component: number theory | Keywords:
Reviewer: | Author:
Merged: |
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Comment(by was):
> Lastly: I tried 873b1 and D=-11, which works fine, though the point
constructed
> has height 14.785 but the heegner_point_height function returns double
that.
> This might need a different ticket.
Heegner points are naturally defined over K, and the height over K is
*double* the height over Q. In general, if P in E(Q) and L is a number
field, then {{{[L:Q]*h_Q(P) = h_L(P)}}}
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6045#comment:17>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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