Finding All Elliptic Curves with Good Reduction Outside a Given Set of Primes
Cremona, J. E. ; Lingham, M. P.
Experiment. Math., Tome 16 (2007) no. 1, p. 303-312 / Harvested from Project Euclid
We describe an algorithm for determining elliptic curves defined over a given number field with a given set of primes of bad reduction. Examples are given over $\Q$ and over various quadratic fields.
Publié le : 2007-05-15
Classification:  Elliptic curves,  Diophantine equations,  11G05,  11Y50
@article{1204928531,
     author = {Cremona, J. E. and Lingham, M. P.},
     title = {Finding All Elliptic Curves with Good Reduction Outside a Given Set of Primes},
     journal = {Experiment. Math.},
     volume = {16},
     number = {1},
     year = {2007},
     pages = { 303-312},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1204928531}
}
Cremona, J. E.; Lingham, M. P. Finding All Elliptic Curves with Good Reduction Outside a Given Set of Primes. Experiment. Math., Tome 16 (2007) no. 1, pp.  303-312. http://gdmltest.u-ga.fr/item/1204928531/