Data about the central values of the L-series of (imaginary and real) quadratic twists of elliptic curves

Citations

Please reference this data as

Gonzalo Tornaría, Data about the central values of the L-series of (imaginary and real) quadratic twists of elliptic curves, http://www.ma.utexas.edu/users/tornaria/cnt/, 2004.

See also

Ariel Pacetti and Gonzalo Tornaría, Shimura correspondence for level p² and the central values of L-series, J. Number Theory 124 (2007), no. 2, 396--414.

Ariel Pacetti and Gonzalo Tornaría, Examples of the Shimura correspondence for level p² and real quadratic twists, Ranks of elliptic curves and random matrix theory, 289--314, London Math. Soc. Lecture Note Ser., 341, Cambridge Univ. Press, Cambridge, 2007.

 Name                      Last modified      Size  Description
 data_imag.gp              12-Jan-2004 12:56  4.7K  Imag twists (prime)
 data_real.gp              12-Jan-2004 12:56  1.4K  Real twists (prime)
 data_squarefree.gp        12-Jan-2004 12:56   35K  Imag twists (sf)
 tw_i.prime.1-20000.gz     12-Jan-2004 01:35  618K  Actual data
 tw_i.squarefree.1-5000.gz 12-Jan-2004 01:41  671K  Actual data
 tw_r.prime.1-500.gz       12-Jan-2004 01:26  183K  Actual data
 twist.gp                  29-Dec-2003 16:46  7.1K  Example program
 verify_default.gp         29-Dec-2003 16:29   32   Verification program
 verify_imag.gp            29-Dec-2003 16:58  2.1K  Verification program
 verify_imag.log           29-Dec-2003 16:58   15K  Verification log
 verify_real.gp            29-Dec-2003 16:31  1.4K  Verification program
 verify_real.log           12-Jan-2004 11:06  1.5K  Verification log
 verify_squarefree.gp      29-Dec-2003 16:59  2.6K  Verification program
 verify_squarefree.log     29-Dec-2003 17:17  141K  Verification log

Changelog

20040112:

Added real twists of prime level less than 500.

The datafiles have changed name

All the quadratic forms have been reduced, and sorted.

Fixed typos in "data_squarefree.gp" (missing commas).

20031229:

Added imaginary twists of prime level less than 20000.

Added imaginary twists of squarefree level less than 5000.

Added real twists of 179A.

The actual data has been split to gzipped files.

The sample program "twist.gp" has been extended to deal with the composite (squarefree) case.

20031219:

First version

Imaginary twists of prime level less than 300.

Real twists of prime level less than 300, except 179A.