request for Elliptic Curve data

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Randall L. Rathbun

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Feb 15, 2024, 11:27:08 PM2/15/24
to lmfdb-...@googlegroups.com
Hello:

In the past I have run my point reduction program over the elliptic
curves which John Cremona has supplied to the LMFDB database

I would like to obtain the 2,419,862 elliptic curves (rank > 0) in your
database, in Weierstrass format [a1,a2,a3,a4,a6] and any/all rational
points (hopefully the Mordell-Weil basis) for each curve for all
2,419,862 curves > rank 0.

I want to run my point reduction code on all of these 2.4+ million
curves and compare the point data with yours. My point reduction program
uses the torsion points (if any) and combinations of those torsion
points with the Mordell_Weil basis to find the "smallish" MW basis.

I did this is the past and submitted my outpoint for John Cremona's
scrutiny and knowledge.

Randall


John Cremona

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Feb 16, 2024, 5:27:42 AM2/16/24
to Randall L. Rathbun, lmfdb-support
Randall,

For the curves of conductor up to 500k I have already replaced my old generators with the reduced ones I computed with you after our correspondence.

 I cannot remember whether I applied the same process to the other curves but I can provide you with the files you need.

John

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