Thackeray, Henry (Maya) Robert2022-05-232022-05Thackeray, H.R. 2022, 'A BSD formula for high-weight modular forms', Journal of Number Theory, vol. 234, pp. 404-447, doi ; 10.1016/j.jnt.2021.06.028.0022-314X10.1016/j.jnt.2021.06.028https://repository.up.ac.za/handle/2263/85629This work is an edited version of my Princeton University PhD thesis (degree conferred June 2020). The original thesis, “A Birch and Swinnerton-Dyer formula for high-weight modular forms”, is available from the digital repository DataSpace at <http://arks.princeton.edu/ark:/88435/dsp01d504rp250>.Please read abstract in the article.en© 2021 Elsevier Inc. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Journal of Number Theory. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. A definitive version was subsequently published in Journal of Number Theory, vol. , no. , pp. , 2021. doi : . [12-24 months embargo]Birch and Swinnerton-DyerHeegner cycleModular formNumber theoryShafarevich-TatePostprint Article