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arXiv · 1011.0464

Computing local constants for CM elliptic curves

Sunil Chetty·Lung Li
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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 O-rank of E grows.

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Sunil Chetty, Lung Li. 2010-11-01. Computing local constants for CM elliptic curves. https://arxiv.org/abs/1011.0464

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