Results 11 to 20 of about 16,319,095 (224)
Software Implementation of the NIST Elliptic Curves Over Prime Fields
Lecture Notes in Computer Science, 2001 . This paper presents an extensive study of the software implementation on workstations of the NIST-recommended elliptic curves overprimefields.WepresenttheresultsofourimplementationinC and assembler on a Pentium II 400 MHz workstation. We also provide a
Julio Lopez +2 more
exaly +2 more sources
On ring class eigenspaces of Mordell–Weil groups of elliptic curves over global function fields
Journal of Number Theory, 2008 20 pages, to appear in J.
openaire +7 more sources
Darmon points on elliptic curves over number fields of arbitrary signature [PDF]
, 2023 We present new constructions of complex and $p$-adic Darmon points on elliptic curves over base fields of arbitrary signature.
Masdeu, Marc +2 more
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TORSION OF ELLIPTIC CURVES OVER QUADRATIC CYCLOTOMIC FIELDS [PDF]
, 2010 In this paper we study the possible torsions of elliptic curves over ℚ(i) and ℚ(√−3)
Najman, Filip, Filip Najman
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Algebraic divisibility sequences over function fields [PDF]
, 2011 In this note we study the existence of primes and of primitive divisors in function field analogues of classical divisibility sequences. Under various hypotheses, we prove that Lucas sequences and elliptic divisibility sequences over function fields ...
Mahe, Valery +14 more
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Torsion groups of a family of elliptic curves over number fields [PDF]
, 2006 summary:We compute the torsion group explicitly over quadratic fields and number fields of degree coprime to 6 for a family of elliptic curves of the form $E\colon y^2 = x^3 +c$, where $c$ is an ...
Dey, Pallab Kanti, Raymond Ayoub
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Modularity of some elliptic curves over totally real fields [PDF]
, 2014 In this thesis, we investigate modularity of elliptic curves over a general totally real number field, establishing a finiteness result for the set non-modular j-invariants.
Le hung, Bao Viet
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Elliptic Curves Over Finite Fields [PDF]
, 2023 The goal of this thesis is to give an expository report on elliptic curves over finite fields. We begin by giving an overview of the necessary background in algebraic geometry to understand the definition of an elliptic curve. We then explore the general
Calger, Christopher S
core
Torsion of elliptic curves over cyclic cubic fields [PDF]
, 2018 We determine all the possible torsion groups of elliptic curves over cyclic cubic fields, over non-cyclic totally real cubic fields and over complex cubic fields.14 ...
Najman, Filip, Derickx, Maarten
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Elliptic curves over totally real cubic fields are modular [PDF]
, 2020 We prove that all elliptic curves defined over totally real cubic fields are modular. This builds on previous work of Freitas, Le Hung and Siksek, who proved modularity of elliptic curves over real quadratic fields, as well as recent breakthroughs due to
Siksek, Samir +2 more
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