Explicit moduli spaces for congruences of elliptic curves
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Fisher, Thomas
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
Keywords
Elliptic curves, Galois representations, Elliptic surfaces
Journal Title
Mathematische Zeitschrift
Conference Name
Journal ISSN
0025-5874
1432-1823
1432-1823
Volume Title
Publisher
Springer Nature