Abstract Let be an odd prime, and suppose that and are weight two newforms sharing the same irreducible Galois representation modulo . We establish a transition formula relating the ‐invariants and in the case where their underlying modular varieties have the same dimension. For abelian extensions , this essentially removes the condition present in the earlier work of Greenberg–Vatsal and Emerton–Pollack–Weston.
Daniel Delbourgo (Thu,) studied this question.
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