Torsion Points on Elliptic Curves with Complex Multiplication
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چکیده
i.e., the supremum of all orders of torsion points on elliptic curves defined over some degree d number field. Write T (d)′ for the set of prime divisors of elements of Td, and P (d) for the largest element of T (d)′. Let TCM(d) (resp. TIM(d)) be the subset of T (d) corresponding to elliptic curves with complex multiplication (resp. with algebraic integral modulus j(E)), and similarly adding the subscript “CM” (resp. “IM”) to the other notation means restricting to the class of elliptic curves with complex multiplication (resp. with algebraic integral j(E)).
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