Small discriminants of complex multiplication fields of elliptic curves over finite fields

DOI10.1007/s10587-015-0183-4zbMath1363.11071OpenAlexW2175986484MaRDI QIDQ2947996

Igor E. Shparlinski

Publication date: 29 September 2015

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/144277

zbMATH Keywords

elliptic curvecomplex multiplication fieldFrobenius discriminant

Mathematics Subject Classification ID

Quadratic extensions (11R11) Curves over finite and local fields (11G20) Primes represented by polynomials; other multiplicative structures of polynomial values (11N32)

Related Items (1)

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

Cites Work

• Unnamed Item
• Factoring integers with elliptic curves
• Reductions of an elliptic curve and their Tate-Shafarevich groups
• Topics in multiplicative number theory
• Quadratic non-residues in short intervals
• The Square Sieve and the Lang–Trotter Conjecture
• TATE-SHAFAREVICH GROUPS AND FROBENIUS FIELDS OF REDUCTIONS OF ELLIPTIC CURVES
• The Arithmetic of Elliptic Curves
• Discriminants of Complex Multiplication Fields of Elliptic Curves over Finite Fields

This page was built for publication: Small discriminants of complex multiplication fields of elliptic curves over finite fields