Extremal primes for elliptic curves with complex multiplication

DOI10.1016/J.JNT.2016.09.033zbMath1419.11091OpenAlexW2556022438MaRDI QIDQ344146

Paul Pollack, Kevin L. James

Publication date: 22 November 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.09.033

zbMATH Keywords

elliptic curvecomplex multiplicationchampion primeLang-TrotterSato-Tate

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Complex multiplication and moduli of abelian varieties (11G15)

Related Items (6)

Distribution of root numbers of Hecke characters attached to some elliptic curves ⋮ Frobenius distributions of elliptic curves in short intervals on average ⋮ An average asymptotic for the number of extremal primes of elliptic curves ⋮ Equidistribution of αpθ$\alpha p^{\theta }$ with a Chebotarev condition and applications to extremal primes ⋮ Frobenius distributions in short intervals for CM elliptic curves ⋮ Extremal primes for elliptic curves without complex multiplication

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• TORSION POINTS ON ELLIPTIC CURVES WITH COMPLEX MULTIPLICATION (WITH AN APPENDIX BY ALEX RICE)
• A Titchmarsh divisor problem for elliptic curves

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