Traces of Stark-Heegner points for elliptic curves of prime conductor and rank 1
These files are the result of computing traces of Stark-Heegner points
using a variation of the magma package shp (by Henri Darmon and Robert
Pollack, available online).
For each elliptic curve listed above, the Stark-Heegner points were
computed with precision of 20 significant p-adic digits, for
fundamental discriminants up to 10000.
The discriminants are sorted by congruence classes modulo p. Each line
contains a triple
[* D, m, P *]
where D is the discriminant and P = m P0 the trace of the Stark-Heegner point,
with a fixed generator P0 of E(Q).
The choices in the calculation are made consistently, so that the
values of m are coefficients of a modular form of weight 3/2 and level
4p2.
See Stark-Heegner points and the Shimura correspondence, by
H. Darmon and G. Tornaria (in preparation, 2007)
Citations
Please reference this data as
Henri Darmon and Gonzalo Tornaría,
Traces of Stark-Heegner points for elliptic curves of prime conductor and rank 1,
http://www.ma.utexas.edu/users/tornaria/cnt/,
2007.
Name Last modified Size Description
![[ ]](/icons/unknown.gif)
log.101 11-Nov-2007 07:02 46K Data for 101a
log.131 19-Nov-2007 04:35 46K Data for 131a
log.163 19-Nov-2007 10:16 49K Data for 163a
log.197 19-Nov-2007 15:49 47K Data for 197a
log.229 19-Nov-2007 20:32 54K Data for 229a
log.269 20-Nov-2007 01:48 53K Data for 269a
log.277 20-Nov-2007 04:35 73K Data for 277a
log.37 11-Nov-2007 01:48 42K Data for 37a
log.43 11-Nov-2007 02:31 43K Data for 43a
log.53 11-Nov-2007 14:11 44K Data for 53a
log.61 11-Nov-2007 00:19 43K Data for 61a
log.79 11-Nov-2007 07:10 43K Data for 79a
log.83 11-Nov-2007 18:17 49K Data for 83a
log.89 18-Nov-2007 22:08 44K Data for 89a