accessibility Sato-Tate distributions in genus 1 (3 total, 2 maximal, 2 minimal)

Generic distribution
SU(2)     y² = x³ + x + 1
          a₁:    s₂:    s₃:   
          M[a₁] = (1, 0, 1, 0, 2, 0, 5, 0, 14, 0, 42, ...)

Exceptional distributions
U(1)     y² = x³ + 1 over Q(√-3)
          a₁:    s₂:    s₃:   
          M[a₁] = (1, 0, 2, 0, 6, 0, 20, 0, 70, 0, 252, ...)

N(U(1))     y² = x³ + 1
          a₁:    s₂:    s₃:   
          M[a₁] = (1, 0, 1, 0, 3, 0, 10, 0, 35, 0, 126, ...)