Exploració per tema "Curves, Elliptic"
Ara es mostren els items 1-12 de 12
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Automorphisms and reduction of Heegner points on Shimura curves at Cerednik-Drinfeld primes
(2014)
Article
Accés obertThe aim of this short note is to show how the interplay of the action of the automorphism group of a Shimura curve on the special fiber of its Cerednik-Drinfeld’s integral model at a prime of bad reduction and its sets ... -
Bielliptic quotient modular curves with N square-free
(2020-11)
Article
Accés obertLet N = 1 be an square free integer and let WN be a non-trivial subgroup of the group of the Atkin-Lehner involutions of X0(N) such that the modular curve X0(N)/WN has genus at least two. We determine all pairs (N, WN ) ... -
CM elliptic curves and the Coates-Wiles Theorem
(Universitat Politècnica de Catalunya, 2019-02-19)
Treball Final de Grau
Accés obert
Realitzat a/amb: Princeton UniversityThis project will take place in the field of elliptic curves and more precisely it will focus on the study of a particular instance of a known case of the Birch and Swinnerton-Dyer Conjecture (BSD Conjecture). This case ... -
Computation of ATR Darmon points on nongeometrically modular elliptic curves
(2013-03)
Article
Accés restringit per política de l'editorialATR points were introduced by Darmon as a conjectural con- struction of algebraic points on certain elliptic curves for which the Heegner-point method is not in general available. So far, the only numerical evidence, ... -
Crypto-test-lab for security validation of ECC co-processor test infrastructure
(Institute of Electrical and Electronics Engineers (IEEE), 2018)
Text en actes de congrés
Accés obertElliptic Curve Cryptography (ECC) is a technology for public-key cryptography that is becoming increasingly popular because it provides greater speed and implementation compactness than other public-key technologies. ... -
Equations of bielliptic modular curves
(2012-11)
Article
Accés obertWe give a procedure to determine equations for the modular curves X0(N) which are bielliptic and equations for the 30 values of N such that X0(N) is bielliptic and nonhyperelliptic are presented. -
Hyperelliptic parametrizations of Q -curves
(2020-07-24)
Article
Accés obertFor a square-free integer N, we present a procedure to compute Q-curves parametrized by rational points of the modular curve X∗0(N) when this is hyperelliptic -
On fields of definition of torsion points of elliptic curves with complex multiplication
(2011-06)
Article
Accés obertFor any elliptic curve E defined over the rationals with complex multiplication (CM) and for every prime p, we describe the image of the mod p Galois representation attached to E. We deduce information about the field of ... -
On the p-th division polynomial
(2022-04)
Article
Accés obertBy using the relations between supersingular elliptic curves defined over a finite field of characteristic p > 3 and the p-th division polynomial, we present a property about the reduction modulo a prime p > 3 of the p-th ... -
Ribet Bimodules and the Specialization of Heegner points
(2012)
Article
Accés obertFor a given order R in an imaginary quadratic field K, we study the specialization of the set CM(R) of Heegner points on the Shimura curve X = X0(D,N) at primes p | DN. As we show, if p does not divide the conductor of R, ... -
Square-free discriminants of Frobenius rings
(2010-09)
Article
Accés obertLet E be an elliptic curve over Q. It is well known that the ring of endomorphisms of $E_p$, the reduction of E modulo a prime p of ordinary reduction, is an order of the quadratic imaginary field $Q(\pi_p)$ generated ... -
The kernel of Ribet’s isogeny for genus three Shimura curves
(2015)
Article
Accés obertThere are exactly nine reduced discriminants D of indefinite quaternion algebras over Q for which the Shimura curve XD attached to D has genus 3. We present equations for these nine curves. Moreover, for each D we determine ...
