This volume contains the proceedings of the LuCaNT (LMFDB, Computation, and Number Theory) conference held from July 10-14, 2023, at the Institute for Computational and Experimental Research in Mathematics (ICERM), Providence, Rhode Island and affiliated with Brown University.
This conference provided an opportunity for researchers, scholars, and practitioners to exchange ideas, share advances, and collaborate in the fields of computation, mathematical databases, number theory, and arithmetic geometry. The papers that appear in this volume record recent advances in these areas, with special focus on the LMFDB (the L-Functions and Modular Forms Database, http://lmfdb.org), an online resource for mathematical objects arising in the Langlands program and the connections between them.
All papers appearing in this volume are published under the Creative Commons Attribution 4.0 International (CC BY 4.0) Public License. To view a copy of this license, visit https://creativecommons.org/licenses/by/4.0/.
Articles
Christian Bagshaw, Michael J. Jacobson, Renate Scheidler and Nickolas
Rollick, Improved methods for finding imaginary quadratic fields with high
$n$-rank
Ce Bian, Andrew R. Booker, Austin Docherty, Michael J. Jacobson Jr. and
Andrei Seymour-Howell, Unconditional computation of the class groups of real
quadratic fields
Kiran S. Kedlaya, The relative class number one problem for function fields,
III
John E. Cremona and Andrew V. Sutherland, Computing the endomorphism ring of
an elliptic curve over a number field
Jacob Mayle and Rakvi, Serre curves relative to obstructions modulo 2
Barinder S. Banwait, Armand Brumer, Hyun Jong Kim, Zev Klagsbrun, Jacob
Mayle, Padmavathi Srinivasan and Isabel Vogt, Computing nonsurjective primes
associated to Galois representations of genus $2$ curves
Noam D. Elkies, Families of genus-2 curves with 5-torsion
Raymond van Bommel, Shiva Chidambaram, Edgar Costa and Jean Kieffer,
Computing isogeny classes of typical principally polarized abelian surfaces
over the rationals
Francesca Bianchi and Oana Padurariu, Rational points on rank 2 genus 2
bielliptic curves in the LMFDB
Eran Assaf, Watson Ladd, Gustavo Rama, Gonzalo Tornaria and John Voight, A
database of paramodular forms from quinary orthogonal modular forms
Havard Damm-Johnsen, Modular algorithms for Gross-Stark units and
Stark-Heegner points
Eran Assaf, Angelica Babei, Ben Breen, Edgar Costa, Juanita Duque-Rosero,
Aleksander Horawa, Jean Kieffer, Avinash Kulkarni, Grant Molnar, Sam
Schiavone and John Voight, A database of basic numerical invariants of
Hilbert modular surfaces
David W. Farmer, Sally Koutsoliotas, Stefan Lemurell and David P. Roberts,
The landscape of L-functions: degree 3 and conductor 1
Jonathan Komada Eriksen, Lorenz Panny, Jana Sotakova and Mattia Veroni,
Deuring for the people: Supersingular elliptic curves with prescribed
endomorphism ring in general characteristic
John Cremona, University of Warwick, Coventry, United Kingdom.
John Jones, Arizona State University, Tempe, AZ.
Jennifer Paulhus, Grinnell College, IA.
Andrew V. Sutherland, Massachusetts Institute of Technology, Cambridge, MA.
John Voight, Dartmouth College, Hanover, NH.
