Number of rational points of elliptic curves
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Publication:5064359
DOI10.1142/S1793557122500176zbMath1489.11082OpenAlexW3131678768MaRDI QIDQ5064359
Publication date: 15 March 2022
Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793557122500176
Rational points (14G05) Elliptic curves over global fields (11G05) Lattices and convex bodies (number-theoretic aspects) (11H06)
Cites Work
- Specializations of elliptic surfaces, and divisibility in the Mordell-Weil group
- Discrete logarithms in \(\mathrm{GF}(p)\)
- The Shimura-Taniyama conjecture and conformal field theory.
- Modular elliptic curves and Fermat's Last Theorem
- From Fermat to Wiles: Fermat's Last Theorem becomes a theorem
- A mean value theorem in geometry of numbers
- Twisted Edwards Curves
- The Arithmetic of Elliptic Curves
- Elliptic Curve Cryptosystems
- The number of solutions of the Mordell equation
- Evaluation of discrete logarithms in a group of 𝑝-torsion points of an elliptic curve in characteristic 𝑝
- Discrete Logarithms in $GF ( P )$ Using the Number Field Sieve
- Algorithmic Number Theory
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