Computing local constants for CM elliptic curves
Abstract
For E/k an elliptic curve with CM by O, we determine a formula for (a generalization of) the arithmetic local constant of [4] at almost all primes of good reduction. We apply this formula to the CM curves defined over Q and are able to describe extensions F/Q over which the Orank of E grows.
 Publication:

arXiv eprints
 Pub Date:
 November 2010
 arXiv:
 arXiv:1011.0464
 Bibcode:
 2010arXiv1011.0464C
 Keywords:

 Mathematics  Number Theory;
 11G05
 EPrint:
 3 tables, updated acknowledgments