P. Mercuri

activity

20142026

most citedAutomorphisms of Cartan modular curves of prime and composite level

6 citations · 17 across the 10 of their papers we have counts for

collaborators

Showing 2016Show all

2 papers · 1 filter

math.NT2016★ 2 cited

Equations and Rational Points of the Modular Curves $X_{0}^{+} (p)$

Pietro Mercuri

Let $p$ be an odd prime number and let $X_{0}^{+} (p)$ be the quotient of the classical modular curve $X_{0} (p)$ by the action of the Atkin-Lehner operator $w_{p}$ . In this paper we show ho…

math.NT2016★ 3 cited

Modular Curves with many Points over Finite Fields

Valerio Dose, Guido Lido, Pietro Mercuri +1

We describe an algorithm to compute the number of points over finite fields on a broad class of modular curves: we consider quotients $X_{H} / W$ for $H$ a subgroup of $\GL_2(\mathbb Z…

Equations and Rational Points of the Modular Curves X0+​(p)

Modular Curves with many Points over Finite Fields

Equations and Rational Points of the Modular Curves $X_{0}^{+} (p)$