Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 2 of 2
Full-Text Articles in Number Theory
Computing Local Constants For Cm Elliptic Curves, Sunil Chetty, Lung Li
Computing Local Constants For Cm Elliptic Curves, Sunil Chetty, Lung Li
Sunil Chetty
Let E/k be an elliptic curve with CM by O. We determine a formula for (a generalization of) the arithmetic local constant of Mazur-Rubin 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 O-rank of E grows.
Computing Local Constants Of Cm Elliptic Curves, Sunil Chetty, Lung Li
Computing Local Constants Of Cm Elliptic Curves, Sunil Chetty, Lung Li
Sunil Chetty
Let E/k be an elliptic curve with CM by O. We determine a formula for (a generalization of) the arithmetic local constant of Mazur-Rubin 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 O-rank of E grows.