lfunc_instances table not returning (some) results

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Dumisani Nxumamalo

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Jul 12, 2023, 9:17:35 AM7/12/23
to lmfdb-support
hi all,

am currently trying to find l-functions associated with elliptic curves over Q. My approach is to query the lfunc_instances table using the url of the elliptic curve. For some elliptic cuves it returns the l-function label but for others no label is returned. eg:
  •  for elliptic curve 27.a  -
          sage:  lfunc_data = list(db.lfunc_instances.search({'url':'EllipticCurve/Q/27/a' }, ['label', 'id']))
          sage: lfunc_data
            [{'id': 22023, 'label': '2-3e3-1.1-c1-0-0'}]
 
  • -for the elliptic curve 975.f2
             sage:  lfunc_data = list(db.lfunc_instances.search({'url':'EllipticCurve/Q/975/f/2'}, ['label', 'id']))
             sage: lfunc_data
             []
in terms of my data (and my limited understanding of the lmfdb), the only difference between the 2 curves, is one has cm!=0 and the other cm==0. Searching for l-functions manually i can see that both curves have an associated l-function. 

Is there something am not seeing or not aware of re: how the lfunc_instances table is structured or the data it contains? 

thanks in advance. 

best, 

Edgar Costa

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Jul 12, 2023, 9:54:15 AM7/12/23
to Dumisani Nxumamalo, lmfdb-support
The right query is to drop the "/2", as the L-functions only depend on the isogeny class, for example:

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