We determine the order of magnitude for all exponential moments of the rank in a broad class of elliptic fibrations and for the 3⋅2k-torsion in the class group of quadratic fields.
@article{arxiv.2409.02080,
title = {Elliptic fibrations and $3 \cdot 2^k$},
author = {Peter Koymans and Carlo Pagano and Efthymios Sofos},
journal= {arXiv preprint arXiv:2409.02080},
year = {2024}
}