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We construct three-variable p-adic families of Galois cohomology classes attached to Rankin convolutions of modular forms, and prove an explicit reciprocity law relating these classes to critical values of L-functions.As a consequence, we prove finiteness results for the Selmer group of an elliptic curve twisted by a 2-dimensional odd irreducible Artin representation when the associated L-value does not vanish.
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Kings, G., Loeffler, D., & Zerbes, S. L. (2017). Rankin–Eisenstein classes and explicit reciprocity laws. Cambridge Journal of Mathematics, 5(1), 1–122. https://doi.org/10.4310/cjm.2017.v5.n1.a1
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