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Determination of the modular Jacobian varieties J1(M,MN)with the Mordell–Weil rank zero
- Source :
- Research in Number Theory; June 2023, Vol. 9 Issue: 2
- Publication Year :
- 2023
-
Abstract
- In this paper, we determine all modular Jacobian varieties J1(M,MN)over the cyclotomic fields Q(ζM)with the Mordell–Weil rank zero assuming the Birch–Swinnerton-Dyer conjecture, following the method of Derickx, Etropolski, van Hoeij, Morrow, and Zureick-Brown.
Details
- Language :
- English
- ISSN :
- 25220160 and 23639555
- Volume :
- 9
- Issue :
- 2
- Database :
- Supplemental Index
- Journal :
- Research in Number Theory
- Publication Type :
- Periodical
- Accession number :
- ejs62573712
- Full Text :
- https://doi.org/10.1007/s40993-023-00430-4