We characterize plane rational curves of degree four with two or more inner Galois points. A computer verifies the existence of plane rational curves of degree four with three inner Galois points. This would be the first example of a curve with exactly three them. Our result implies that Miura's bound is sharp for rational curves.
A criterion for the existence of a plane model with two inner Galois points for algebraic curves
Birational embeddings of the Hermitian, Suzuki and Ree curves with two Galois points
A birational embedding of an algebraic curve into projective plane with two Galois points
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