Abstract
Let \(\bar \rho\) be a two-dimensional F p -valued representation of the absolute Galois group of the rationals. Suppose \(\bar \rho\) is odd, absolutely irreducible and ordinary at p. Then we show that \(\bar \rho\) arises from the irreducible component of a Hida family (of necessarily greater level than that of \(\bar \rho\)) whose map to weight space, including conjugate forms, has degree at least 4.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have