On the cyclicity of the group of \({\mathbb F}_p\)-rational points of non-CM elliptic curves
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Publication:1864865
DOI10.1006/jnth.2002.2789zbMath1038.11034OpenAlexW2060506697MaRDI QIDQ1864865
Publication date: 23 March 2003
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jnth.2002.2789
Related Items (11)
Cyclicity of elliptic curves modulo primes in arithmetic progressions ⋮ Cyclicity of CM elliptic curves modulo 𝑝 ⋮ Sato-Tate, cyclicity, and divisibility statistics on average for elliptic curves of small height ⋮ Small exponent point groups on elliptic curves ⋮ The distribution and growth of the elementary divisors of the reductions of an elliptic curve over a function field ⋮ Primes, elliptic curves and cyclic groups ⋮ The distribution and density of cyclic groups of the reductions of an elliptic curve over a function field ⋮ An observation on the cyclicity of the group of the \(\mathbb F_p\)-rational points of Abelian surfaces ⋮ Square-free orders for CM elliptic curves modulo \(p\) ⋮ Global dynamical systems involving generalized \(f\)-projection operators and set-valued perturbation in Banach spaces ⋮ Cyclicity of elliptic curves modulo \(p\) and elliptic curve analogues of Linnik's problem
Cites Work
- On Artin's conjecture
- An analogue of Artin's conjecture for Abelian extensions
- Cyclicity and generation of points mod \(p\) on elliptic curves
- On the supersingular reduction of elliptic curves
- Quelques applications du théorème de densité de Chebotarev
- Galois properties of points of finite order of elliptic curves
- Primitive points on elliptic curves
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