By your use of the term "executor", I conclude that your mother had a will that specifies how the distribution of the assets of the estate (and the debts of the estate) are to be handled. Accordingly, there is not much leeway on what can done other than following what the will says.
Basically, it sounds like the estate is to distributed between 3 parties (you and a brother and a sister). In essence, you already "own" a third of the property in question so to buy out the others means you would only have to come up with only 2/3 of what the sell value of the property is in order to buy out the other's shares. Whatever the sell price of the property is, the executor of the will typically will be eligible to claim 5% or so of that money as her compensation for handling of the estate.
You didn't indicate whether or not your father was deceased. I assume that he is and that leads me to question as to what happened to his share in the property. Did he have a will? What did it provide for? Is it possible that he left an un-administered estate which could lead to title problems, etc.
With your living at quite a distance away from your mother and your siblings living near to her, I am sure that on a day-to-day basis, your brother and sister provided care and services to your mother and you did not. Accordingly, your brother and sister are having thoughts about "we did more for mom than you did so we deserve extra credit, etc, etc".
That typically generates a helluva lot of family frictions and animosity.
Follow Dillon's advice. Follow the will, liquidate the estate and get it settled A.S.A.P.
P.S. I was executor of my mom's will and administrator of my dad's estate. You can't imagine the hassle it takes to do either.
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