Congruences between modular forms and the birch and swinnerton-dyer conjecture

Andrea Berti; Massimo Bertolini; Rodolfo Venerucci

Conference Proceedings

Congruences between modular forms and the birch and swinnerton-dyer conjecture

Berti A
Bertolini M
Venerucci R

Springer Proceedings in Mathematics and Statistics (2016) 188 1-31

DOI: 10.1007/978-3-319-45032-2_1

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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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Birch and swinnerton-dyer conjecture
Elliptic curves
Heegner points
Shimura curves

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Berti, A., Bertolini, M., & Venerucci, R. (2016). Congruences between modular forms and the birch and swinnerton-dyer conjecture. In Springer Proceedings in Mathematics and Statistics (Vol. 188, pp. 1–31). Springer New York LLC. https://doi.org/10.1007/978-3-319-45032-2_1

Congruences between modular forms and the birch and swinnerton-dyer conjecture

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