The Sato-Tate conjecture for a Picard curve with Complex Multiplication
  Let C/Q be the genus 3 Picard curve given by the affine model y^3=x^4-x. In this paper we compute its Sato-Tate group, show the generalized Sato-Tate conjecture for C, and compute the statistical moments for the limiting distribution of the normalized local factors of C. 
Joan-C. Lario, Anna Somoza (with an appendix by Francesc Fit\'e)
math.NT