Abstract
Let $E/k$ be an elliptic curve with CM by $\Oc$. We determine a formula for (a generalization of) the arithmetic local constant of [{\bf5}] 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 $\Oc$-rank of $E$ grows.
Citation
Sunil Chetty. Lung Li. "Computing local constants for CM elliptic curves." Rocky Mountain J. Math. 44 (3) 853 - 863, 2014. https://doi.org/10.1216/RMJ-2014-44-3-853
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