Explicit moduli spaces for congruences of elliptic curves
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Fisher, Tom
Abstract
Abstract: We determine explicit birational models over Q for the modular surfaces parametrising pairs of N-congruent elliptic curves in all cases where this surface is an elliptic surface. In each case we also determine the rank of the Mordell–Weil lattice and the geometric Picard number.
Description
Funder: University of Cambridge
Keywords
Article, Elliptic curves, Galois representations, Elliptic surfaces, 11G05, 11F80, 14J27
Journal Title
Mathematische Zeitschrift
Conference Name
Journal ISSN
0025-5874
1432-1823
1432-1823
Volume Title
295
Publisher
Springer Berlin Heidelberg
