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,