Last update: 2009-01-01
01/01/09 * Updated intpts.*: 8374 curves had missing points.
15/08/08 * Added intpts.*: Complete list of all integral points on all
curves in the database.
05/01/07 * Corrected aplist file entries for bad primes over 100, for
N divisible by more than one such prime (or by the square
of such a prime).
Files affected: aplist.* (except aplist.00000-09999)
15/12/06 * Corrected Sha(51522f3) from 4 to 9 (thanks to Tom Fisher)
Files affected: allbigsha.[05]0000-*, allbsd.50000*, shas.html
24/09/06 * Conductors divisible by 216 between 90000 and 99999 were
missing, now included. All files *.90000-99999 affected.
04/09/06 * Saturation of given generators now proved for all curves!
04/09/06 * Corrected generators for 26 curves (52266d1, 124132a1 and
24 of conductor 122010) which were unsaturated. Files
affected are allgens.{5,12}*, paricurves.{5,12}* but NOT
the allbsd or allbigsha files which are unchanged (they
already had the correct regulators).
13/07/06 * Corrected 20 entries in allisog.[0-7]* (curves incorrectly shown
as self-isogenous), thanks to Tom Boothby
17/02/06 * Corrected files degphi.1[012]0000-1[012]9999 (wrong codes)
16/02/06 * Corrected files count.40000-49999 and count.60000-69999.
20/11/05 * Updated optimality claims to cover all N<50000
07/11/05 * Minor corrections to {allbsd,allgens,paricurves}.120000-129999
05/11/05 * Added all data for 120000-129999
01/11/05 * Minor corrections to allbigsha* and shas.html
20/09/05 * Minor corrections to files degphi.1[01]0000-1[01]9999,
allbsd.[69]*, allgens.9*, allbigsha.9*, shas.html
18/09/05 * Added all data for 100000-119999
* allgens files now use new letter codes
02/09/05 * Changed all isogeny class codes to new simplified base-26 scheme:
a,b,...,z,ba,bb,...,bz,ca,...
31/08/05 * Added all data for 90000-99999
26/08/05 * Added all data for 80000-89999
14/07/05 * Added all data for 70000-79999
* Deleted trailing field " ***!!!***" from allbsd.* for
curves where field 11 (=analytic Sha) >1
* Added allisog* files ("Table 6") giving isogeny matrix for
each class
* Removed curves.* and gens.*, as they are subsets of the
allcurves.* and allgens.* files
20/06/05 * Added all data for 60000-69999.
09/06/05 * Added all data for 50000-59999.
* renamed files e.g. curves.00000-09999 etc; no changes to
content since no elliptic curves have conductor divisible by 1000.
27/05/05 * Added all data for 40001-50000.
05/05/05 * corrected generators for 14 curves in range 30001-40000
which were not saturated, with consequent corrections to
allgens.30001-40000, allbsd.30001-40000,
allbigsha.30001-40000 and shas table. (None of these were
optimal curves so gens.* unchanged)
03/5/05 * corrections to files allgens.30001-40000 gens.20001-30000
allgens.20001-30000 gens.30001-40000
allbsd.00001-10000 allgens.00001-10000
thanks to Geoff Bailey. (Some duplications, and some wrong
numbering of curves in an isogeny class).
26/4/05 * added curve 25350III2 which had been missed
22/4/05: * added data for range 30001-40000 (thanks to Nottingham's
multiprocessor GRID)
* resorted files into uniform ranges of 10000
* only include gzip-ed files
1/3/05: added data for N=15299 (one curve) previously omitted
9/2/05: added data for range 25001-30000 + certification of optimal
curves extended from 8000 to 11000 (extended to 12000 on 13/02/05).
Swapped the two curves in classes 15180,15624,15744 as the
conditionally optimal one was second not first.
21/6/04: added data for range 20001-25000 + certification of generators
for all curves so far
9/3/04: corrections for 15810U3 -- previous generator was
3*generator; so |Sha|=9 not 1.
4/4/03: added data for range 17001-20000.
12/2/03: added data for range 16001-17000.
17/1/03: added data for range 15001-16000.
25/10/02: corrected torsion order for 4830N4 in allcurves.1-8000
mention 2 new curves of rank 3 in INDEX file
8/10/02: Added data for the range 12001-15000, with the same status as
for the range 8001-12000 detailed below (except that Mark Watkins has
not -- yet -- covered this range). [He has now: 25/10/02.]
14/1/02: Curves in classes 8160R, 8585C, 11024B reordered. For these
levels the first curve in each class is guaranteed Gamma_0(N)-optimal.
For other levels up to 12000 where there is no guarantee, our first
curve is the one which has been /conditionally/ proved optimal by Mark
Watkins. It is now the case that for all levels in the range
8001-12000 the first curve in each class is either proved optimal, or
at least agrees with Mark Watkins's conditional list of optimal
curves. The former holds whenever the degree of the modular
parametrization is given in the curves file.
12/12/01: for around 10% of classes in the range 8201-9000 the
ordering has been changed. In the new order the first curve in each
class is more likely (though not guaranteed) to be optimal. This
change makes this range compatible with the range 9001-12000 in that
the same strategy is used throughout for finding a curve from each
newform.
November 2001:
The tables are extended to level (conductor) 12000.
For levels up to 8000 fuller data exists, including determination
of the optimal curve in each isogeny class and the degree of the
modular parametrization. The numbering of the curves in each class
(with the optimal curve #1, except for class 990H) may be taken as
canonical and standard in this range.
For levels 8001-12000 we give all curves in each isogeny class, but
the first curve is not known to be optimal (unless the class only
contains one curve, of course). The numbering of the curves in
each class containing more than one curve should NOT be taken as
canonical and standard: it will change if the optimal curve turns
out to be not the currently labelled first curve. It is likely
(based on past observation) that, where the first curve in a class
is not optimal, it is related to the optimal curve by a 2-isogeny.
In the range 8001-12000 we also do not have the modular degree (in
most cases).
For any individual level in the range 8001-12000, it is possible to
carry out the extra computations needed to fill these gaps
(determining the optimal curve and modular degree), but doing so
for all curves in the range would probably take a few months with
the current algorithms and programs. An independent computation by
Mark Watkins has determined, conditionally
on the Stevens conjecture, which curve in each class is optimal,
and has determined its modular degree. Our results agree for all
levels up to 8000 and we expect them to agree in the higher range
also.
17/9/01: Error corrected: added 5104B1 to files, omitted due to an
error discovered while working on 2*5104=10208. Further checking has
shown that no further omissions were made at around the same time.
(for previous update messages see the files sept2001 etc.)