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We provide elliptic extensions of elementary identities such as the sum ofthe first $n$ odd or even numbers, the geometric sum and the sum of the first$n$ cubes. Many such identities, and their $q$-analogues, are indefinite sums,and can be obtained from telescoping. So we used telescoping in our study tofind elliptic extensions of these identities. In the course of our study, weobtained an identity with many parameters, which appears to be new even in the$q$-case. In addition, we recover some $q$-identities due to Warnaar.

An esoteric identity with many parameters and other elliptic extensions of elementary identities