Orders of the torsion of points of curves of genus 1

Let K be an algebraic number field of degree n; let be the number of divisor classes of the field K; y: v²=u⁴+au²+B is the Jacobian curve over where C is an integral divisor, q₁, ..., q_N are distinct prime divisors. One proves that there exists an effectively computable constant c=c(n, h(K), N), such that the order m of the torsion of any primitive K-point on is bounded by it: mC.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova, AN SSSR, Vol. 82, pp. 5–28, 1979.