Under G. L. c. 59, § 5, Eighteenth, as amended through St. 1965, c. 620, § 2, the following property is exempted from taxation: “Any portion of the estates of persons who by reason of age, infirmity and poverty are in the judgment of the assessors unable to contribute fully toward the public charges.” The taxpayers applied for the exemption and the assessors denied the application. On the taxpayers’ appeal, the Appellate Tax Board ruled that the taxpayers were entitled to the exemption and granted an abatement of tax. We hold that the board had no jurisdiction over the case and order the taxpayers’ appeal dismissed.
The exemption in question is based on hardship, as are the exemptions in G. L. c. 59, § 5, Seventeenth and Twenty-Second. Opinion of the Justices, 324 Mass. 724, 732 (1949). *37A hardship abatement under cl. Eighteenth is a matter in the discretion of the assessors. Gordon v. Sanderson, 165 Mass. 375, 376 (1896). Perhaps for this reason, the board was granted jurisdiction of appeals under G. L. c. 59, § 5, Seventeenth and Twenty-Second, but the governing statute does not make similar mention of cl. Eighteenth. G. L. c. 58A, § 6. The board has no jurisdiction beyond that granted it by the Legislature. Commissioner of Corps. & Taxation v. St. Botolph Club, Inc., 321 Mass. 269, 279 (1947). Assessors of Boston v. Suffolk Law School, 295 Mass. 489, 498 (1936). If there is error of law or abuse of discretion and no other remedy is provided, the remedy is an action in the nature of certiorari. G. L. c. 249, § 4. See Sears v. Assessors of Nahant, 208 Mass. 208, 210 (1911). Cf. Boston Edison Co. v. Selectmen of Concord, 355 Mass. 79, 91 (1968); Royalton College, Inc. v. State Bd. of Educ., 127 Vt. 436, 447-448 (1969).
The decision of the Appellate Tax Board is reversed and the case is remanded to the board. The taxpayers’ appeal is to be dismissed.
So ordered.