1. Let X,(N) be the modular curve over Q which classifies elliptic curves with a cyclic N-
isogeny. Let K= Q (v/-D) be an imaginary quadratic ficld of discriminant–D, where all prime …

Let E/Q be a modular elliptic curve of conductor N, and let p be a prime number. In [MTT],
Mazur, Tate and Teitelbaum formulate a p-adic analogue of the conjecture of Birch and …

The purpose of the paper is to extend and refine earlier results of the author on
nonvanishing of the L-functions associated to modular forms in the anticyclotomic tower of …

Let E be a (modular!) elliptic curve over Q, of conductor N. Let K denote an imaginary
quadratic field of discriminant D, with (N, D)= 1. If p is a prime, then there exists a unique Zp …

In Bull. Soc. Math. France 115 (1987), 399–456, Perrin-Riou formulates a form of the
Iwasawa main conjecture which relates Heegner points to the Selmer group of an elliptic …

In this paper, we deduce the vanishing of Selmer groups for the Rankin–Selberg convolution
of a cusp form with a theta series of higher weight from the nonvanishing of the associated L …

Let be odd two-dimensional Artin representations for which is self-dual. The progress on
modularity achieved in recent decades ensures the existence of normalized eigenforms of …

This paper is the same as ANT-0265, but with a few minor mistakes corrected. Let E be an
elliptic curve over Q with good ordinary reduction at a prime p. We show that the parity of the …

More precisely, Kolyvagin showed that| Ш (E/K)| divides a certain multiple of [E (K): Zy] 2.
Kolyvagin's result (K) has been generalized in several directions: Kolyvagin and Logacev …

Let E/Q be a modular elliptic curve, and let p be a prime of good ordinary reduction for E.
Write K 00 for the anticyclotomic Zp-extension of an imaginary quadratic field K which …