Supplementary Elliptic Curve Data
- Systematic coverage of all levels:
- all data up to level 350000 are available from the main
page.
- Tables of elliptic curves with good reduction outside certain sets
S of primes. These were found using an implementationof the algorithm
given in Cremona and Lingham "Finding all elliptic curves with good
reduction outside a given set of primes", Experimental Mathematics
16 No.3 (2007), 303-312, which is completely independent of
modular computations. They are sorted by conductor, isogeny class and
curve and labelled using LMFDB
labels.
- S={2,3}: (752 curves), all in main database
- S={2,3,5}: (7600 curves)
(corrected 2013-10-13, there were 48 missing)
- S={2,3,7}: (7168 curves)
- S={2,3,5,7}: (71520 curves)
(corrected 2013-10-23, there were 192 missing)
- S={2,3,11}: (6640 curves)
- S={2,13}: (336 curves), all in main database
- S={2,17}: (256 curves), all in main database
- S={2,19}: (336 curves), all in main database
- S={2,23}: (256 curves), all in main database
- Extra levels computed in May-August 2002 for Michael Bennett (with
later additions for some larger levels). These were obtained using
modular symbols as with the main table; only one curve for each
isogeny class is given. N.B. These are now all in the main database: the
second link will show their LMFDB entries.
- Levels 722k
- Levels 1122k
- Levels 1322k
- Levels 1522k
- Levels 1722k
- Levels 1922k
- Levels 2122k
- Levels 2322k