Elliptic curves over global fields

Results 211 to 220 of about 865 (232)

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ON PAIRINGS IN ELLIPTIC CURVES OVER GLOBAL FIELDS

Mathematics of the USSR-Izvestiya, 1978
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Height estimates for elliptic curves in short Weierstraß form over global fields and a comparison

Archiv der Mathematik, 2001
Let \(K\) be a global field and denote by \({\mathcal M}_K\) the set of pairwise inequivalent absolute values \(v\) of \(K\) satisfying the sum formula \(\sum_{v \in {\mathcal M}_K} \lambda_v v(z) = 0\) for all \(z \in K^*\) with multiplicities \(\lambda_v\). Let \(E: Y^2 = X^3 + aX + b\) be an elliptic curve over \(K\).
Zimmer, Horst G., Schmitt, Susanne
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Elliptic Curves over Global Fields and ℓ-Adic Representations

1987
In the previous two chapters the local study of elliptic curves was carried out and a substantial part of the theory was related to how the fundamental symmetry, the Frobenius element, behaved on the curve modulo a prime. For an elliptic curve E over a number field K (or more generally any global field), we have for each prime a Frobenius element ...
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The local-global principle for divisibility in CM elliptic curves

Journal of Number Theory, 2023
Brendan Creutz
exaly

Torsion growth of rational elliptic curves in sextic number fields

Journal of Number Theory, 2021
Tomislav Gužvić
exaly

Quadratic fields admitting elliptic curves with rational j-invariant and good reduction everywhere

Journal of Number Theory, 2023
Benjamin Matschke, Abhijit S Mudigonda
exaly

Global and asymptotic behaviors of bifurcation curves of one-dimensional nonlocal elliptic equations

Journal of Mathematical Analysis and Applications, 2022
TETSUTARŌ Shibata
exaly

The Splitting of Primes in Division Fields of Elliptic Curves

Experimental Mathematics, 2002
W DUKE, A Tóth
exaly

Elliptic Curves and Class Fields of Real Quadratic Fields: Algorithms and Evidence

Experimental Mathematics, 2002
Henri Darmon, Peter J Green
exaly