American Citizen on Tue, 05 Mar 2024 02:44:37 +0100


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found my problem, subtle error occurring with insert into a set


To all

More hours of painful troubleshooting step by step finally revealed that I was making a subtle error, doing a set insert into a current set, while operating ON that set.

I now get the 67 points for the congruent number curve of [0,0,0,-1156,0] of height <= 13.

qfminim() command is correct, it is giving me 8 vectors, so I must take the negative point also, giving 16 overall for the points of infinite order. When I use the 3 torsion points for this curve, I eventually come up to 67 points = 16*4 + 3 (torsion points).

Thank you for bearing with me on this troubleshooting, as my reduce_to_basis algorithm showed that combinations NOT on the qfminin vector list were occuring, but this was due to the negative point (i.e. ellneg(e,pt))

I am happy now with the new rewrite of my ellpool(curve,basis_pts, max_height) as it is running 8x as fast as my previous program for a rank 2 curve.

Randall