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Thanks DSM. I no longer get the overflow. For what it's worth the K283 curve seems to work and the only real differences are the a and b invariants:

def K283_test():
  order = 2**283
  a = 0
  b = 1
  K.<x>= GF(2)[]
  K.<a> = GF(order=order, name='a', modulus=x^283 + x^12 + x^7 + x^5 + 1  )
  K283_curve = EllipticCurve(K, [1,a,0,0,b])

no overflow... I think it's related to the b parameter.