Rational points on X-0(+)(p)

Authors
Galbraith, SD
Citation
Sd. Galbraith, Rational points on X-0(+)(p), EXP MATH, 8(4), 1999, pp. 311-318
Citations number
23
Categorie Soggetti
Mathematics
Journal title
EXPERIMENTAL MATHEMATICS
ISSN journal
10586458 → ACNP
Volume
8
Issue
4
Year of publication
1999
Pages
311 - 318
Database
ISI
SICI code
1058-6458(1999)8:4<311:RPOX>2.0.ZU;2-Z
Abstract
We study the rational points on X-0(+)(p) = X-0(p)/W-p. It is known that th ere are rational points corresponding to cusps and elliptic curves with com plex multiplication (CM). We use computational methods to exhibit exception al rational points on X-0(+)(p) for p = 73, 103, 137, 191 and 311. We also provide the j-invariants of the corresponding non-CM quadratic Q-curves.