Add to ORKGWe compute the rational points on the Atkin-Lehner quotient $X^+_0(125)$ using the quadratic Chabauty method. Our work completes the study of exceptional rational points on the curves $X^+_0(N)$ of genus between 2 and 6. Together with the work of several authors, this completes the proof of a conjecture of Galbraith.Comment: 8 pages; minor changes following referee repor
In this paper we improve on existing methods to compute quadratic points on modular curves and apply...
We extend the explicit quadratic Chabauty methods developed in previous work by the first two author...
AbstractIt is proven that the cusps are the only points which are rational over Q on X0(N) for N = 5...
We compute the rational points on the Atkin–Lehner quotient X0+(125) using the quadratic Chabauty me...
We compute the rational points on the Atkin–Lehner quotient X0+(125) using the quadratic Chabauty me...
We complete the computation of all $\mathbb{Q}$-rational points on all the $64$ maximal Atkin-Lehner...
We describe how the quadratic Chabauty method may be applied to explicitly determine the set of rati...
We describe how the quadratic Chabauty method may be applied to determine the set of rational points...
This article generalizes the geometric quadratic Chabauty method, initiated over $\mathbb{Q}$ by Edi...
One of the most important results in Diophantine geometry is the finiteness of the number of rationa...
One of the most important results in Diophantine geometry is the finiteness of the number of rationa...
One of the most important results in Diophantine geometry is the finiteness of the number of rationa...
One of the most important results in Diophantine geometry is the finiteness of the number of rationa...
Bruin and Najman, Ozman and Siksek, and Box described all the quadratic points on the modular curves...
Guo and Yang give defining equations for all geometrically hyperelliptic Shimura curves $X_0(D,N)$. ...
In this paper we improve on existing methods to compute quadratic points on modular curves and apply...
We extend the explicit quadratic Chabauty methods developed in previous work by the first two author...
AbstractIt is proven that the cusps are the only points which are rational over Q on X0(N) for N = 5...
We compute the rational points on the Atkin–Lehner quotient X0+(125) using the quadratic Chabauty me...
We compute the rational points on the Atkin–Lehner quotient X0+(125) using the quadratic Chabauty me...
We complete the computation of all $\mathbb{Q}$-rational points on all the $64$ maximal Atkin-Lehner...
We describe how the quadratic Chabauty method may be applied to explicitly determine the set of rati...
We describe how the quadratic Chabauty method may be applied to determine the set of rational points...
This article generalizes the geometric quadratic Chabauty method, initiated over $\mathbb{Q}$ by Edi...
One of the most important results in Diophantine geometry is the finiteness of the number of rationa...
One of the most important results in Diophantine geometry is the finiteness of the number of rationa...
One of the most important results in Diophantine geometry is the finiteness of the number of rationa...
One of the most important results in Diophantine geometry is the finiteness of the number of rationa...
Bruin and Najman, Ozman and Siksek, and Box described all the quadratic points on the modular curves...
Guo and Yang give defining equations for all geometrically hyperelliptic Shimura curves $X_0(D,N)$. ...
In this paper we improve on existing methods to compute quadratic points on modular curves and apply...
We extend the explicit quadratic Chabauty methods developed in previous work by the first two author...
AbstractIt is proven that the cusps are the only points which are rational over Q on X0(N) for N = 5...