Add to ORKGWe present a detailed analysis of how to implement the computation of modular symbols for a given elliptic curve by using numerical approximations. This method turns out to be more effcient than current implementations as the conductor of the curve increases
This article gives an introduction for mathematicians interested in numerical computations in algebr...
International audienceThis article gives an introduction for mathematicians interested in numerical ...
To appear in Mathematics of Computation.We analyse and compare the complexity of several algorithms ...
We present a detailed analysis of how to implement the computation of modular symbols for a given el...
Abstract. The modular symbols method developed by the author in [4] for the computation of cusp form...
We present a detailed analysis of how to implement the computation of modular symbols for a given el...
Modular forms are tremendously important in various areas of mathematics, from number theory and alg...
International audienceModular forms are tremendously important in various areas of mathematics, from...
AbstractWe obtain defining equations of modular curves X0(N), X1(N), and X(N) by explicitly construc...
We present two algorithms that, given a prime ell and an elliptic curve E/Fq, directly compute the p...
Abstract. We investigate the ramification of modular parametriza-tions of elliptic curves over Q at ...
We derive an explicit zero-free region for symmetric square L-functions of elliptic curves, and use ...
AbstractWe obtain defining equations of modular curves X0(N), X1(N), and X(N) by explicitly construc...
We derive an explicit zero-free region for symmetric square L-functions of elliptic curves, and use ...
Elliptic curves constitute one of the main topics of this book. They have been proposed for applicat...
This article gives an introduction for mathematicians interested in numerical computations in algebr...
International audienceThis article gives an introduction for mathematicians interested in numerical ...
To appear in Mathematics of Computation.We analyse and compare the complexity of several algorithms ...
We present a detailed analysis of how to implement the computation of modular symbols for a given el...
Abstract. The modular symbols method developed by the author in [4] for the computation of cusp form...
We present a detailed analysis of how to implement the computation of modular symbols for a given el...
Modular forms are tremendously important in various areas of mathematics, from number theory and alg...
International audienceModular forms are tremendously important in various areas of mathematics, from...
AbstractWe obtain defining equations of modular curves X0(N), X1(N), and X(N) by explicitly construc...
We present two algorithms that, given a prime ell and an elliptic curve E/Fq, directly compute the p...
Abstract. We investigate the ramification of modular parametriza-tions of elliptic curves over Q at ...
We derive an explicit zero-free region for symmetric square L-functions of elliptic curves, and use ...
AbstractWe obtain defining equations of modular curves X0(N), X1(N), and X(N) by explicitly construc...
We derive an explicit zero-free region for symmetric square L-functions of elliptic curves, and use ...
Elliptic curves constitute one of the main topics of this book. They have been proposed for applicat...
This article gives an introduction for mathematicians interested in numerical computations in algebr...
International audienceThis article gives an introduction for mathematicians interested in numerical ...
To appear in Mathematics of Computation.We analyse and compare the complexity of several algorithms ...