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As you can see (by typing E.plot??) that the first thing that the plot method does is to see if the field of definition of the curve can be put in RR, and the work on RR:

    RR = rings.RealField()
    K = self.base_ring()
    try:
        RR._coerce_(K(1))

This is indeed a bug since it is not documented. It is now reported at trac ticket 17256.

As you can see (by typing E.plot??) that the first thing that the plot method does is to see if the field of definition of the curve can be put in RR, and the then work on RR:

    RR = rings.RealField()
    K = self.base_ring()
    try:
        RR._coerce_(K(1))

This is indeed a bug since it is not documented. It is now reported at trac ticket 17256.