ranks of apparition

Noun

rank of apparition (plural ranks of apparition)

1. Given a positive integer m and a divisibility sequence Sₖ, the smallest index k such that Sₖ is divisible by m;
   • Let (W#95;n) be an EDS^([Elliptic Divisibility Sequence]) associated to an elliptic curve E#47;K and a nonzero point P#92;inE(K) of finite order. Let r#92;ge 2 be the smallest index such that W#95;r#61;0. (The number r is called the rank of apparition of the sequence.)
     […]
     Suppose that K is a...1986, Joseph H. Silverman, The Arithmetic of Elliptic Curves, Springer, page 114

   Synonyms:

   Fibonacci entry point

2. such an index for some generalisation of the concept (for example to allow multiple ranks of apparition for a given m).

   Synonyms:

   Fibonacci entry point