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LuCaNT: LMFDB, Computation, and Number Theory
About this Title
John Cremona, University of Warwick, Coventry, United Kingdom, John Jones, Arizona State University, Tempe, AZ, Jennifer Paulhus, Grinnell College, Grinnell, IA, Andrew V. Sutherland, Massachusetts Institute of Technology, Cambridge, MA and John Voight, Dartmouth College, Hanover, NH, Editors
Publication: Contemporary Mathematics
Publication Year:
2024; Volume 796
ISBNs: 978-1-4704-7260-3 (print); 978-1-4704-7609-0 (online)
DOI: https://doi.org/10.1090/conm/796
ReadershipTable of Contents
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Front/Back Matter
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 Tornaría and John Voight – A database of paramodular forms from quinary orthogonal modular forms
- Håvard 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 Sotáková and Mattia Veroni – Deuring for the people: Supersingular elliptic curves with prescribed endomorphism ring in general characteristic