Computing local constants for CM elliptic curves

@article{Chetty2010ComputingLC,
  title={Computing local constants for CM elliptic curves},
  author={S. Chetty and L. Li},
  journal={Rocky Mountain Journal of Mathematics},
  year={2010},
  volume={44},
  pages={853-863}
}
  • S. Chetty, L. Li
  • Published 2010
  • Mathematics
  • Rocky Mountain Journal of Mathematics
  • Let E/k be an elliptic curve with CM by O. We determine a formula for (a generalization of) the arithmetic local constant of [5] 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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