On the number of points of elliptic curves over a finite field and a problem of B. Segre

DOI10.1016/S0195-6698(83)80021-3zbMath0527.51020MaRDI QIDQ595202

Emanuela Ughi

Publication date: 1983

Published in: European Journal of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

Legendre formaffine Galois planeHasse-Weil theoremhyperbolas over a finite field

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Elliptic curves (14H52) Finite ground fields in algebraic geometry (14G15)

Related Items (3)

Nonsingular plane cubic curves over finite fields ⋮ Space-filling subsets of a normal rational curve ⋮ Simple constructions for elliptic cubic curves with specified small numbers of points

Cites Work

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• The number of points on an elliptic cubic curve over a finite field
• On the distribution of Legendre symbols in Galois fields. (Appendix by G. Cecconi and R. Bicocchi)
• The arithmetic of elliptic curves
• Proprieta elementari relative ai segmenti ed alle coniche sopra un campo qualsiasi ed una congettura di Seppo Ilkka per il caso dei campi di Galois
• Elliptic curves. Notes from postgraduate lectures given in Lausanne 1971/72
• On A Conjecture of S. Ilkka
• Abelian varieties over finite fields

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