Stability of terrestrial planets orbiting in the Lagrangian points of Jupiter sized planets?

Would it be possible for a terrestrial planet say atleast >0.3 Earth masses orbiting in the L3/L4/L5 and L1/L2 Lagrangian points of a Jupiter sized planet in the habitable zone of a Sun-like star remain stable for billions of years? Would this scenario be unlikely to occur naturally? And if it is stable what are some possible factors that might make it eventually become unstable?

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Stability of terrestrial planets orbiting in the Lagrangian points of Jupiter sized planets?

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