We prove the p-part of the Birch and Swinnerton-Dyer conjecture for elliptic curves of analytic rank one for most ordinary primes.
Congruences between modular forms and the birch and swinnerton-dyer conjecture / A. Berti, M. Bertolini, R. Venerucci (SPRINGER PROCEEDINGS IN MATHEMATICS & STATISTICS). - In: Elliptic Curves, Modular Forms and Iwasawa Theory : In Honour of John H. Coates' 70th Birthday, Cambridge, UK, March 2015 / [a cura di] D. Loeffler, S.L. Zerbes. - [s.l] : Springer, 2016. - ISBN 9783319450315. - pp. 1-31 (( convegno Elliptic Curves, Modular Forms and Iwasawa Theory - Conference in honour of the 70th birthday of John Coates tenutosi a Cambridge nel 2015 [10.1007/978-3-319-45032-2_1].
Congruences between modular forms and the birch and swinnerton-dyer conjecture
A. Berti;M. Bertolini;R. Venerucci
2016
Abstract
We prove the p-part of the Birch and Swinnerton-Dyer conjecture for elliptic curves of analytic rank one for most ordinary primes.
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