Λ\Lambda-adic Euler characteristics of elliptic curves

  • Daniel Delbourgo

Abstract

Let E/QE_{/\Bbb Q} be a modular elliptic curve, and p>3p>3 a good ordinary or semistable prime. Under mild hypotheses, we prove an exact formula for the μ\mu-invariant associated to the weight-deformation of the Tate module of EE. For example, at ordinary primes in the range 3<p<1003<p<100, the result implies the triviality of the μ\mu-invariant of X0(11)X_0(11).