The absolute discriminant of the endomorphism ring of most reductions of a non-CM elliptic curve is close to maximal

DOI10.1090/conm/770/15430zbMath1497.11146arXiv2003.01253OpenAlexW3009180575MaRDI QIDQ5043428

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Publication date: 21 October 2022

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.01253

zbMATH Keywords

endomorphism ringselliptic curvesdistribution of primessieve methods

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Elliptic curves over global fields (11G05) Curves over finite and local fields (11G20) Applications of sieve methods (11N36) Distribution of primes (11N05) Rate of growth of arithmetic functions (11N56)

Cites Work

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• The Square Sieve and the Lang–Trotter Conjecture
• TATE-SHAFAREVICH GROUPS AND FROBENIUS FIELDS OF REDUCTIONS OF ELLIPTIC CURVES
• Frobenius fields for elliptic curves
• An average asymptotic for the number of extremal primes of elliptic curves
• A mean value estimate for real character sums
• Extremal primes for elliptic curves without complex multiplication
• Discriminants of Complex Multiplication Fields of Elliptic Curves over Finite Fields
• The Splitting of Primes in Division Fields of Elliptic Curves

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