Below is a link to maple / singular scripts to compute the degree of the loci of surfaces of degree d containing some elliptic quartic curve, companion to
the note
Enumeration
of surfaces containing an elliptic quartic
curve,
joint with A.F.Lopez, F.Cukierman.
degNL.tar.gz
You should extract say to dir degNL, maybe edit paths and hit
on a terminal (unix,linux...).
maple 4ellmws
May need to edit/rename paths.
The file ell4.m contains saved data obtained by running ellmws. You can re-compute everything by removing commented out stuff between
if 1>2 then ...
fi:#1>2
This builds on the original script for Maple found in P. Meurer,
The number of rational quartics on Calabi-Yau hypersurfaces in
weighted projective space P(2,1^4), Math. Scandin, 78, 63-83 1996, alg-geom/9409001.
Works fine with maple9.
The script is also
available for Singular...